Cubic critical, wide range

Time bar (total: 12.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze227.0ms (1.8%)

Memory
-10.5MiB live, 185.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.6s (21.4%)

Memory
52.2MiB live, 2 233.7MiB allocated
Samples
1.6s6 736×1valid
197.0ms1 520×0valid
158.0ms1 123×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
adjust: 313.0ms (19.9% of total)
ival-mult: 279.0ms (17.7% of total)
const: 215.0ms (13.6% of total)
ival-<: 214.0ms (13.6% of total)
ival-sqrt: 128.0ms (8.1% of total)
ival-div: 116.0ms (7.4% of total)
ival-neg: 93.0ms (5.9% of total)
ival-sub: 89.0ms (5.6% of total)
ival-add: 82.0ms (5.2% of total)
ival-and: 33.0ms (2.1% of total)
exact: 10.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain218.0ms (1.8%)

Memory
33.8MiB live, 264.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2512(2.5592099566882598e+22 103498.98687770907 8.113132718098415e-16)0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation2530
Confusion
Predicted +Predicted -
+2510
-23
Precision
0.9920948616600791
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-203
Precision?
0.9920948616600791
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
77.0ms406×1valid
9.0ms106×0valid
Compiler

Compiled 219 to 52 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 17.0ms (28.5% of total)
ival-sub: 14.0ms (23.5% of total)
adjust: 8.0ms (13.4% of total)
ival-sqrt: 7.0ms (11.7% of total)
ival-div: 6.0ms (10.1% of total)
ival-add: 5.0ms (8.4% of total)
ival-neg: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess137.0ms (1.1%)

Memory
-10.3MiB live, 105.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1152144
2433144
31173144
43171144
56061144
01217
02017
13616
27316
315616
423616
537416
665016
7110316
8224116
9251016
10262116
11267616
12267716
13267716
0267715
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify68.0ms (0.6%)

Memory
-2.5MiB live, 35.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
02066
13664
27364
315664
423664
537464
665064
7110364
8224164
9251064
10262164
11267664
12267764
13267764
0267760
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
a
c

localize73.0ms (0.6%)

Memory
-0.1MiB live, 81.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.26953125
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.36328125
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy51.81169702971889
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
36.0ms203×1valid
5.0ms53×0valid
Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (40.6% of total)
adjust: 4.0ms (14.8% of total)
ival-sqrt: 4.0ms (14.8% of total)
ival-div: 3.0ms (11.1% of total)
ival-add: 2.0ms (7.4% of total)
ival-sub: 2.0ms (7.4% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
1.2MiB live, 38.4MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (neg.f64 b) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
3.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@0
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))

simplify175.0ms (1.4%)

Memory
34.0MiB live, 181.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04702458
114452441
248902418
080562302
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
Outputs
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(*.f64 b b)
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) c)
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c)
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))) c)
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64)))) c)
(*.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))))) c)
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c)))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c)))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (/.f64 b c) a)) #s(literal -1/3 binary64)) c)
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c))))
(fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) c) c (*.f64 (*.f64 c (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
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rewrite152.0ms (1.2%)

Memory
10.8MiB live, 199.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
02046
17144
252543
3683643
0812540
Stop Event
iter limit
node limit
iter limit
Counts
5 → 410
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
Outputs
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eval140.0ms (1.1%)

Memory
-54.9MiB live, 242.7MiB allocated
Compiler

Compiled 18 600 to 1 925 computations (89.7% saved)

prune45.0ms (0.4%)

Memory
19.5MiB live, 98.6MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New52133554
Fresh000
Picked101
Done000
Total52233555
Accuracy
99.7%
Counts
555 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
19.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
18.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
19.1%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a))
18.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
95.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
97.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
95.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
19.1%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
98.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
98.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
97.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
97.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
95.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Compiler

Compiled 2 140 to 1 412 computations (34% saved)

simplify321.0ms (2.6%)

Memory
-3.3MiB live, 146.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
cost-diff960
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff6144
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
cost-diff384
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
cost-diff6080
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
cost-diff384
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
cost-diff320
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
cost-diff320
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff6784
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064652
0108650
1192644
2421638
31011633
42376612
53295612
64215612
75231612
87749612
08847594
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
(*.f64 #s(literal -9/16 binary64) (*.f64 a a))
#s(literal -9/16 binary64)
(*.f64 a a)
a
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 c #s(literal 4 binary64))
(pow.f64 a #s(literal 4 binary64))
(/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))
#s(literal 405/64 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
#s(literal -3/8 binary64)
(/.f64 a b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
c
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) a (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b))
(/.f64 (fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) a (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b)
(fma.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) a (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(*.f64 a a)
a
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 c (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/8 binary64) b) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))
(pow.f64 c #s(literal 4 binary64))
(pow.f64 a #s(literal 4 binary64))
(/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))
#s(literal 405/64 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 c (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/8 binary64) b) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b)
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
(*.f64 c c)
#s(literal -3/8 binary64)
(/.f64 a b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal 1/3 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) a (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b))
(/.f64 (*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) a (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64))) b)
(*.f64 c (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64)) a (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b)
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
(*.f64 c c)
c
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(*.f64 c (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) c) a) c) (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize410.0ms (3.3%)

Memory
-19.3MiB live, 372.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2734375
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
accuracy0.3125
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
accuracy0.328125
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
accuracy0.21875
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
accuracy0.26953125
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
accuracy0.41634750976844204
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
accuracy51.81169702971889
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0.11556625976844201
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.296875
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
accuracy0.328125
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
accuracy51.81169702971889
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 c b)
accuracy0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy6.4383547614343515
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.3359375
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
accuracy0.36166000976844204
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
accuracy0.36556625976844204
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
accuracy1.039191875626255
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
Samples
277.0ms202×1valid
26.0ms54×0valid
Compiler

Compiled 1 248 to 132 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-mult: 68.0ms (26.7% of total)
adjust: 40.0ms (15.7% of total)
ival-pow: 40.0ms (15.7% of total)
ival-add: 31.0ms (12.2% of total)
ival-div: 28.0ms (11% of total)
ival-sub: 26.0ms (10.2% of total)
const: 14.0ms (5.5% of total)
ival-sqrt: 7.0ms (2.7% of total)
ival-neg: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series206.0ms (1.7%)

Memory
3.7MiB live, 194.7MiB allocated
Counts
25 → 816
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())
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#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())
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Outputs
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
39.0ms
b
@-inf
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
18.0ms
c
@inf
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
14.0ms
b
@0
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
11.0ms
c
@0
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))
11.0ms
c
@-inf
((+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (/ (pow c 3) (pow b 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6))) (* (pow c 4) (pow a 4)) (+ (* (* -3 c) a) (* b b)) (/ (* (* (pow c 3) a) a) (pow b 4)) (* (pow c 3) a) (* (* c c) -3/8))

simplify212.0ms (1.7%)

Memory
31.6MiB live, 227.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145317219
1483216936
0869216225
Stop Event
iter limit
node limit
Counts
816 → 813
Calls
Call 1
Inputs
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* -1/2 c)
(* c (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
(* c (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c))
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(* -1 (* (pow c 3) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))))
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(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
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(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
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(* (pow a 4) (pow c 4))
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(* (pow a 4) (pow c 4))
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(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow b 4) c))) (pow b 4))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
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(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
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(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
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(* -1/2 c)
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(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
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(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))
(* -1/2 c)
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(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b))
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* -1/2 c)
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1/2 c))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (* 135/128 (/ (pow c 4) (pow b 6))))))
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))))
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -1/2 (/ c (pow a 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* 405/64 (/ (* (pow a 4) (pow c 4)) (pow b 6)))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(/ (* (pow a 2) (pow c 3)) (pow b 4))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
(* a (pow c 3))
Outputs
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
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(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c a) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -9/16 binary64))
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(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 a a))
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(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 c c) a) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
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(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)

rewrite246.0ms (2%)

Memory
-1.1MiB live, 279.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064452
0108440
1413432
23407432
08411432
Stop Event
iter limit
node limit
iter limit
Counts
25 → 911
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
Outputs
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eval470.0ms (3.8%)

Memory
6.9MiB live, 582.0MiB allocated
Compiler

Compiled 103 382 to 6 434 computations (93.8% saved)

prune350.0ms (2.8%)

Memory
-9.5MiB live, 306.5MiB allocated
Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New1 963402 003
Fresh181028
Picked415
Done000
Total1 985512 036
Accuracy
99.8%
Counts
2 036 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
20.2%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
19.3%
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
20.0%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
18.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
18.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
89.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
19.5%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
20.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
18.8%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
19.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
19.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
95.5%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
95.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
97.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
19.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
97.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
95.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
89.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
95.6%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
97.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
97.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
18.6%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
96.0%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b))
97.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 3 631 to 2 352 computations (35.2% saved)

simplify336.0ms (2.7%)

Memory
25.0MiB live, 180.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
cost-diff320
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
cost-diff0
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
cost-diff0
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
cost-diff704
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c))
cost-diff0
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
cost-diff384
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
cost-diff0
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
cost-diff6464
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061076
01541076
12871072
26371012
31610986
42469986
53188986
64085986
75397986
87624986
08197951
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))
#s(literal -135/128 binary64)
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
c
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c))
(/.f64 #s(literal -9/8 binary64) b)
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 (*.f64 c c) a) b)
(*.f64 (*.f64 c c) a)
(*.f64 c c)
c
a
(*.f64 #s(literal -3/2 binary64) c)
#s(literal -3/2 binary64)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c))
#s(literal -9/16 binary64)
(*.f64 (*.f64 a a) c)
(*.f64 a a)
c
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(*.f64 (*.f64 a a) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) a)
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -9/16 binary64)
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 6 binary64))) #s(literal -135/128 binary64)) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))
#s(literal -135/128 binary64)
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
c
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)
(fma.f64 (*.f64 (/.f64 a (*.f64 b b)) c) #s(literal -3/8 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -1/2 binary64)
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) c) (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64)) b))) #s(literal 3 binary64))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) c) (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64)) b)))
(*.f64 c (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) c) (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64)) b))
(*.f64 c (fma.f64 (*.f64 #s(literal -9/8 binary64) c) (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64)))
(/.f64 #s(literal -9/8 binary64) b)
#s(literal -9/8 binary64)
b
(*.f64 (*.f64 (/.f64 c b) a) c)
(*.f64 (*.f64 c c) a)
(*.f64 c c)
c
a
(*.f64 #s(literal -3/2 binary64) c)
#s(literal -3/2 binary64)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)
(fma.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64))
(*.f64 a (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) c) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)))
(/.f64 #s(literal -3/8 binary64) b)
#s(literal -3/8 binary64)
b
(/.f64 a b)
a
(*.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))) c) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(*.f64 (*.f64 a a) c)
(*.f64 a a)
c
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/2 binary64)

localize420.0ms (3.4%)

Memory
-17.0MiB live, 424.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.29296875
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c))
accuracy0.328125
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))
accuracy0.3515625
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
accuracy0.26171875
(*.f64 (*.f64 c c) a)
accuracy0.29296875
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
accuracy0.328125
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
accuracy2.5200442309928532
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
accuracy0.08984375
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
accuracy0.3359375
(*.f64 a (/.f64 c b))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
accuracy2.5005303143594095
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.28125
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
accuracy6.4383547614343515
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
accuracy0.3203125
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
accuracy0.328788769536884
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))
accuracy0.3359375
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
accuracy1.039191875626255
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Samples
262.0ms202×1valid
71.0ms54×0valid
Compiler

Compiled 1 802 to 212 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 280.0ms
ival-mult: 89.0ms (31.8% of total)
ival-add: 56.0ms (20% of total)
ival-div: 54.0ms (19.3% of total)
adjust: 37.0ms (13.2% of total)
ival-pow: 26.0ms (9.3% of total)
ival-sqrt: 7.0ms (2.5% of total)
ival-sub: 5.0ms (1.8% of total)
const: 4.0ms (1.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series205.0ms (1.7%)

Memory
4.0MiB live, 201.3MiB allocated
Counts
27 → 888
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
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Outputs
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Calls

9 calls:

TimeVariablePointExpression
44.0ms
b
@-inf
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
22.0ms
a
@-inf
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
b
@0
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
c
@-inf
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))
7.0ms
a
@0
((+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/ (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) b) (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) b) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (/ (* a a) (pow b 4)) (/ (* -135/128 (* (pow a 3) c)) (pow b 6)) (* (/ a (* b b)) -3/8) (* a (/ c b)) (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (* (* c c) a) (/ (* -9/16 (* (* a a) c)) (pow b 4)) (* -9/16 (* (* a a) c)))

simplify288.0ms (2.3%)

Memory
9.5MiB live, 290.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083416175
1259516024
0851415327
Stop Event
iter limit
node limit
Counts
888 → 888
Calls
Call 1
Inputs
(* -9/16 (/ (pow a 2) (pow b 4)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
-1/2
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -3/2 c)
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(* c (- (* -9/8 (/ (* a c) (pow b 2))) 3/2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* -3/8 (/ a (pow b 2)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -3/8 (/ (* a c) (pow b 2)))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* -9/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
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(* -9/8 (/ (* a (pow c 2)) (pow b 3)))
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(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
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(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
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(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
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(* -1/2 (/ c b))
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(* -3/8 (/ (* a c) (pow b 2)))
(* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -9/8 (/ (* a (pow c 2)) (pow b 2)))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
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(* -9/8 (/ (* a (pow c 2)) (pow b 3)))
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(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
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(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -3/8 (/ (* a c) (pow b 2)))
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 4))
(* -9/8 (/ (* a (pow c 2)) (pow b 2)))
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 2))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* -9/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))) (pow b 3))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
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(/ (pow a 2) (pow b 4))
(/ (pow a 2) (pow b 4))
(/ (pow a 2) (pow b 4))
(/ (pow a 2) (pow b 4))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
Outputs
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 #s(literal -3/2 binary64) c)
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b a)) #s(literal -1/2 binary64))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 b a)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))))
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))))
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))))
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))))
(*.f64 a (/.f64 c b))
(*.f64 a (/.f64 c b))
(*.f64 a (/.f64 c b))
(*.f64 a (/.f64 c b))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 c b) #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 c c) a)
(*.f64 (*.f64 c c) a)
(*.f64 (*.f64 c c) a)
(*.f64 (*.f64 c c) a)
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 c #s(literal -9/16 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64))
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64))
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64))
(*.f64 (*.f64 (*.f64 c a) a) #s(literal -9/16 binary64))
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 6 binary64))))
(*.f64 (fma.f64 (/.f64 (*.f64 a a) c) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c)
(*.f64 (fma.f64 (/.f64 (*.f64 a a) c) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c)
(*.f64 (fma.f64 (/.f64 (*.f64 a a) c) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c)
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))) c)
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64)))) c)
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/3 binary64))))) c)
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -135/128 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))))
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rewrite216.0ms (1.7%)

Memory
0.9MiB live, 274.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106835
0154829
1639825
25547825
08138798
Stop Event
iter limit
node limit
iter limit
Counts
27 → 444
Calls
Call 1
Inputs
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b))
(/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(*.f64 a (/.f64 c b))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 c c) a)
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c))
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eval344.0ms (2.8%)

Memory
-0.1MiB live, 548.6MiB allocated
Compiler

Compiled 96 974 to 4 052 computations (95.8% saved)

prune202.0ms (1.6%)

Memory
20.8MiB live, 295.5MiB allocated
Pruning

51 alts after pruning (49 fresh and 2 done)

PrunedKeptTotal
New1 32481 332
Fresh44145
Picked415
Done011
Total1 332511 383
Accuracy
99.8%
Counts
1 383 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
20.2%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
19.3%
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
20.0%
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
18.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
19.5%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
20.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
18.8%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
19.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
19.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
89.4%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
19.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
97.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
95.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
89.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
95.6%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
97.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
97.2%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
18.6%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
96.0%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b))
97.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 #s(approx (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) a)))) c)) b))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
97.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Compiler

Compiled 4 092 to 2 604 computations (36.4% saved)

simplify213.0ms (1.7%)

Memory
-0.8MiB live, 166.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
cost-diff320
(fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
cost-diff384
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
cost-diff704
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
cost-diff0
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
cost-diff0
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
cost-diff0
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
cost-diff384
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
cost-diff0
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
cost-diff6464
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161182
01641182
12991176
26821149
316351114
426611100
534241086
641581086
751071086
080111046
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 a a)
a
#s(literal -9/16 binary64)
b
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
c
#s(literal -135/128 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
#s(literal 1/3 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
#s(literal -2/3 binary64)
b
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(/.f64 b a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))))
#s(literal 1 binary64)
(/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))
b
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
(pow.f64 b #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64))
(*.f64 c (*.f64 a a))
c
(*.f64 a a)
a
#s(literal -9/16 binary64)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 b b))
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64))
(fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64)))
#s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) c (*.f64 (*.f64 #s(literal -9/16 binary64) b) b)) (*.f64 a a))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
(*.f64 a a)
a
#s(literal -9/16 binary64)
b
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))
(*.f64 (pow.f64 a #s(literal 3 binary64)) c)
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
c
#s(literal -135/128 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))
(/.f64 (/.f64 a b) b)
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c a) (*.f64 #s(literal -2/3 binary64) b)) c)))
#s(literal 1/3 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c a) (*.f64 #s(literal -2/3 binary64) b)) c))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c a) (*.f64 #s(literal -2/3 binary64) b)) c)
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c a) (*.f64 #s(literal -2/3 binary64) b))
#s(literal -2/3 binary64)
b
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c a))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal 1/2 binary64)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
(/.f64 b a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)) b)
#s(literal 1 binary64)
(/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)))
b
#s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c))
(*.f64 (fma.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64)) c)
(fma.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b))) c #s(literal -1/2 binary64))
(*.f64 a (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal -4 binary64)) c) a) #s(literal -9/16 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) b) b)))
(pow.f64 b #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))
(*.f64 (*.f64 a a) c)
c
(*.f64 a a)
a
#s(literal -9/16 binary64)
(*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64))
(/.f64 (/.f64 a b) b)
(*.f64 b b)
#s(literal -3/8 binary64)
#s(literal -1/2 binary64)

localize451.0ms (3.7%)

Memory
-19.0MiB live, 455.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))))
accuracy0.29296875
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64))
accuracy0.3203125
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
accuracy1.4710089919903628
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
accuracy0.078125
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
accuracy0.11556625976844201
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.328125
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
accuracy51.953705879011174
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
accuracy0.32421875
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
accuracy0.3359375
(*.f64 a (/.f64 c b))
accuracy0.41634750976844204
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
accuracy2.385238945829084
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
accuracy0
(/.f64 b c)
accuracy0.28125
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy6.4383547614343515
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.265625
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
accuracy0.3203125
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
accuracy0.34603500976844204
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
accuracy1.039191875626255
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Samples
322.0ms204×1valid
52.0ms52×0valid
Compiler

Compiled 1 922 to 232 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 319.0ms
ival-div: 80.0ms (25.1% of total)
ival-mult: 73.0ms (22.9% of total)
adjust: 56.0ms (17.6% of total)
ival-pow: 31.0ms (9.7% of total)
ival-add: 27.0ms (8.5% of total)
ival-neg: 23.0ms (7.2% of total)
const: 14.0ms (4.4% of total)
ival-sqrt: 7.0ms (2.2% of total)
ival-sub: 7.0ms (2.2% of total)
exact: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series142.0ms (1.2%)

Memory
1.6MiB live, 166.7MiB allocated
Counts
25 → 840
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
27.0ms
a
@-inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (/ 1 (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))))) (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (* (* c (* a a)) -9/16))
10.0ms
a
@inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (/ 1 (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))))) (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (* (* c (* a a)) -9/16))
7.0ms
c
@-inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (/ 1 (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))))) (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (* (* c (* a a)) -9/16))
6.0ms
c
@inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (/ 1 (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))))) (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (* (* c (* a a)) -9/16))
6.0ms
b
@inf
((+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1/3 (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) (/ (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (/ b a)) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (sqrt (+ (* (* -3 c) a) (* b b))) (/ 1 (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))))) (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/ (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (pow b 6)) (* (/ a (* b b)) -3/8) (* (* (* a a) -9/16) b) (* a (/ c b)) (+ (* (* -3 c) a) (* b b)) (* (* c (* a a)) -9/16))

simplify251.0ms (2%)

Memory
32.3MiB live, 304.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159617394
1528517195
0951916421
Stop Event
iter limit
node limit
Counts
840 → 837
Calls
Call 1
Inputs
(* -9/16 (* (pow a 2) (pow b 2)))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (- (* -1 (* c (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -2/3 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)) (* 9/16 (/ (pow a 3) (pow b 5))))))) (+ (* -3/4 (/ (pow a 2) (pow b 3))) (* 3/8 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(/ b a)
(+ (* -3/2 (/ c b)) (/ b a))
(+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -3/8 (/ a (pow b 2)))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2 (/ b c))
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c)
(/ (+ (* -2 b) (* c (- (* -1 (* c (+ (* -9/4 (/ (pow a 2) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3)))))) (* -3/2 (/ a b))))) c)
(/ (+ (* -2 b) (* c (- (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ (pow a 2) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3))))) (pow b 2))) (* 27/16 (/ (pow a 3) (pow b 5)))))) (+ (* -9/4 (/ (pow a 2) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3)))))) (* -3/2 (/ a b))))) c)
(* -9/16 (/ (pow a 2) (pow b 4)))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (* (pow a 3) c))
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c))))
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c))))
(* c (+ (* -135/128 (pow a 3)) (* -9/16 (/ (* (pow a 2) (pow b 2)) c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3)))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -3))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (pow (sqrt -3) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* 1/2 (/ a b))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ (* a c) b))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (/ b (* a c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
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(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
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(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -16/9 (/ (pow b 5) (* (pow a 2) (pow c 3))))
(/ (+ (* -16/9 (/ (pow b 5) (pow a 2))) (* 32/27 (/ (pow b 7) (* (pow a 3) c)))) (pow c 3))
(/ (- (+ (* -16/9 (/ (pow b 5) (pow a 2))) (* -1 (/ (+ (* -128/81 (/ (pow b 9) (pow a 4))) (* 64/81 (/ (pow b 9) (pow a 4)))) (pow c 2)))) (* -32/27 (/ (pow b 7) (* (pow a 3) c)))) (pow c 3))
(/ (- (+ (* -16/9 (/ (pow b 5) (pow a 2))) (* -1 (/ (+ (* -2/3 (/ (* (pow b 2) (+ (* -128/81 (/ (pow b 9) (pow a 4))) (* 64/81 (/ (pow b 9) (pow a 4))))) a)) (* 256/243 (/ (pow b 11) (pow a 5)))) (pow c 3)))) (+ (* -128/81 (/ (pow b 9) (* (pow a 4) (pow c 2)))) (+ (* -32/27 (/ (pow b 7) (* (pow a 3) c))) (* 64/81 (/ (pow b 9) (* (pow a 4) (pow c 2))))))) (pow c 3))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(* c (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (* (pow a 3) c))
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3)))))
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3)))))
(* -1 (* c (+ (* 9/16 (/ (* (pow a 2) (pow b 2)) c)) (* 135/128 (pow a 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
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(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c))))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))) (/ b (pow (sqrt 3) 2))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (pow (sqrt 3) 2))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* 1/2 (/ a b))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ (* a c) b))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5))))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -16/9 (/ (pow b 5) (* (pow a 2) (pow c 3))))
(* -1 (/ (+ (* -32/27 (/ (pow b 7) (* (pow a 3) c))) (* 16/9 (/ (pow b 5) (pow a 2)))) (pow c 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -64/81 (/ (pow b 9) (* (pow a 4) c))) (* 128/81 (/ (pow b 9) (* (pow a 4) c)))) (* -32/27 (/ (pow b 7) (pow a 3)))) c)) (* 16/9 (/ (pow b 5) (pow a 2)))) (pow c 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2/3 (/ (* (pow b 2) (+ (* -64/81 (/ (pow b 9) (pow a 4))) (* 128/81 (/ (pow b 9) (pow a 4))))) (* a c))) (* 256/243 (/ (pow b 11) (* (pow a 5) c)))) (+ (* -64/81 (/ (pow b 9) (pow a 4))) (* 128/81 (/ (pow b 9) (pow a 4))))) c)) (* -32/27 (/ (pow b 7) (pow a 3)))) c)) (* 16/9 (/ (pow b 5) (pow a 2)))) (pow c 3)))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 4) c))) (* 135/128 (/ (pow a 3) (pow b 6))))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -135/128 (* (pow a 3) c))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(* 1/2 (/ a b))
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -2/3 (/ (pow b 2) c)) (* 1/2 a)) b)
(* 1/2 (/ (* a c) b))
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4))
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 4))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -16/9 (/ (pow b 5) (* (pow a 2) (pow c 3))))
(* (pow b 5) (- (* 32/27 (/ (pow b 2) (* (pow a 3) (pow c 4)))) (* 16/9 (/ 1 (* (pow a 2) (pow c 3))))))
(* (pow b 5) (- (* (pow b 2) (+ (* 64/81 (/ (pow b 2) (* (pow a 4) (pow c 5)))) (* 32/27 (/ 1 (* (pow a 3) (pow c 4)))))) (* 16/9 (/ 1 (* (pow a 2) (pow c 3))))))
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(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 6))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -9/16 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c)))))))
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* -2/3 b)
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ b a)
(* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(* -3/8 (/ a (pow b 2)))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ b c))
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -9/4 (* (pow a 2) c)) (* 9/8 (* (pow a 2) c))) (pow b 4))) (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* (pow a 2) c)) (* 9/8 (* (pow a 2) c)))))) (* 27/16 (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -9/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -3/2 (/ a (pow b 2))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 4))) (* 2 (/ 1 c)))))))
(* -9/16 (/ (pow a 2) (pow b 4)))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -9/16 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* (pow b 2) (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -2/3 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -3/8 (/ a (pow b 2)))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2))
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 2))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (/ b c))
(* -1 (* b (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -9/8 (* (pow a 2) c)) (* 9/4 (* (pow a 2) c))) (pow b 4))) (* 2 (/ 1 c))) (* 3/2 (/ a (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -27/16 (* (pow a 3) (pow c 2))) (* -3/4 (* a (* c (+ (* -9/8 (* (pow a 2) c)) (* 9/4 (* (pow a 2) c))))))) (pow b 6))) (* 2 (/ 1 c))) (+ (* -9/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 3/2 (/ a (pow b 2))) (* 9/4 (/ (* (pow a 2) c) (pow b 4))))))))
(* -9/16 (/ (pow a 2) (pow b 4)))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 4))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -9/16 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2))))
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2))))
(* (pow a 2) (+ (* -135/128 (* a c)) (* -9/16 (pow b 2))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
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b
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(/ (* a c) b)
(pow b 2)
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(* (sqrt (* a c)) (sqrt -3))
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(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* -16/9 (/ (pow b 5) (pow c 3))) (* 32/27 (/ (pow b 7) (* a (pow c 4))))) (pow a 2))
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(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
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(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))
(* (pow a 3) (- (* -135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4))))))
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(/ (* a c) b)
(/ (* a c) b)
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(* -3 (* a c))
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(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* 1/2 (/ a b))
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ (* a c) b))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -9/16 (/ (* (pow a 2) c) (pow b 4)))
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (- (* -9/16 (/ c (pow b 4))) (* 3/8 (/ 1 (* a (pow b 2))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -16/9 (/ (pow b 5) (* (pow a 2) (pow c 3))))
(/ (+ (* -16/9 (/ (pow b 5) (pow c 3))) (* 32/27 (/ (pow b 7) (* a (pow c 4))))) (pow a 2))
(/ (+ (* -16/9 (/ (pow b 5) (pow c 3))) (* -1 (/ (- (+ (* -128/81 (/ (pow b 9) (* a (pow c 5)))) (* 64/81 (/ (pow b 9) (* a (pow c 5))))) (* 32/27 (/ (pow b 7) (pow c 4)))) a))) (pow a 2))
(/ (+ (* -16/9 (/ (pow b 5) (pow c 3))) (* -1 (/ (- (* -1 (/ (- (+ (* -256/243 (/ (pow b 11) (* a (pow c 6)))) (* 2/3 (/ (* (pow b 2) (+ (* -128/81 (/ (pow b 9) (pow c 5))) (* 64/81 (/ (pow b 9) (pow c 5))))) (* a c)))) (+ (* -128/81 (/ (pow b 9) (pow c 5))) (* 64/81 (/ (pow b 9) (pow c 5))))) a)) (* 32/27 (/ (pow b 7) (pow c 4)))) a))) (pow a 2))
(* -135/128 (/ (* (pow a 3) c) (pow b 6)))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))))
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 6))) (* 9/16 (/ 1 (* a (pow b 4)))))))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -3/8 (/ a (pow b 2)))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(* -9/16 (* (pow a 2) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
(* -9/16 (* (pow a 2) c))
Outputs
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 b c)
(/.f64 b c)
(/.f64 b c)
(/.f64 b c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 #s(literal -2/3 binary64) (/.f64 b c))
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2/3 binary64) b)) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) a) b) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) a)) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2/3 binary64) b)) c)
(*.f64 #s(literal -2/3 binary64) (/.f64 b c))
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b)) c)
(*.f64 #s(literal -2/3 binary64) b)
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 b a)
(fma.f64 #s(literal -3/2 binary64) (/.f64 c b) (/.f64 b a))
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) c (/.f64 b a))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c (/.f64 b a))
b
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c b)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
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(*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))
(*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))

rewrite175.0ms (1.4%)

Memory
15.3MiB live, 169.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116772
0164762
1675748
25589743
08147720
Stop Event
iter limit
node limit
iter limit
Counts
25 → 478
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b)
#s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 b c)
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
#s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)
(fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c))))
(fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
(/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b)
(*.f64 a (/.f64 c b))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64))
Outputs
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eval512.0ms (4.1%)

Memory
-105.0MiB live, 297.4MiB allocated
Compiler

Compiled 88 201 to 4 915 computations (94.4% saved)

prune193.0ms (1.6%)

Memory
-13.7MiB live, 188.4MiB allocated
Pruning

57 alts after pruning (53 fresh and 4 done)

PrunedKeptTotal
New1 331241 355
Fresh152944
Picked325
Done022
Total1 349571 406
Accuracy
99.8%
Counts
1 406 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
20.1%
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
20.2%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
20.2%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
19.5%
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
18.6%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
18.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
19.5%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
20.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
18.9%
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
18.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
18.9%
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
18.4%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
19.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
19.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
20.2%
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
18.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))
19.5%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
19.1%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
89.4%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
89.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
89.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
19.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
19.1%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
19.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
19.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
97.1%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
89.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
97.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
95.7%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
95.8%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
89.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
97.9%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
95.6%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
18.7%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
18.8%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
19.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
97.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
96.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
98.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
97.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)))))
97.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 9/8 binary64)) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
97.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal 3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) c))))
95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
97.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))) (neg.f64 b)))))
95.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
89.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
97.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Compiler

Compiled 6 873 to 2 280 computations (66.8% saved)

regimes255.0ms (2.1%)

Memory
2.5MiB live, 205.7MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
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(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/9 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) c) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 c c)) (/.f64 #s(literal 405/64 binary64) a)) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c)))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a b) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) c))))) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
Calls

5 calls:

61.0ms
(*.f64 #s(literal 3 binary64) a)
55.0ms
b
48.0ms
c
43.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
41.0ms
a
Results
AccuracySegmentsBranch
98.3%1a
98.3%1b
98.3%1c
98.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
98.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes212.0ms (1.7%)

Memory
2.5MiB live, 193.5MiB allocated
Counts
102 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 #s(approx (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) a)))) c)) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
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(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

49.0ms
(*.f64 #s(literal 3 binary64) a)
42.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
41.0ms
b
35.0ms
c
27.0ms
a
Results
AccuracySegmentsBranch
98.3%1a
98.3%1b
98.3%1c
98.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
98.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes188.0ms (1.5%)

Memory
25.3MiB live, 178.3MiB allocated
Counts
100 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 #s(approx (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) a)))) c)) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 9/8 binary64)) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal 3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))) (neg.f64 b)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) b (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) b) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

59.0ms
b
40.0ms
a
30.0ms
c
29.0ms
(*.f64 #s(literal 3 binary64) a)
24.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
98.2%1a
98.2%1b
98.2%1c
98.2%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
98.2%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes203.0ms (1.6%)

Memory
1.6MiB live, 152.8MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 #s(approx (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) a)))) c)) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 9/8 binary64)) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal 3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))) (neg.f64 b)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)))))) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
Calls

5 calls:

69.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
44.0ms
(*.f64 #s(literal 3 binary64) a)
35.0ms
a
30.0ms
b
21.0ms
c
Results
AccuracySegmentsBranch
97.6%1a
97.6%1b
97.6%1c
97.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
97.6%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes151.0ms (1.2%)

Memory
7.3MiB live, 201.3MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 #s(approx (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) a)))) c)) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (pow b -4) (* (* c (* a a)) -9/16)) (* (/ a (* b b)) -3/8)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)))))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) (*.f64 (/.f64 a (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 9/8 binary64)) a (/.f64 #s(literal 3/2 binary64) b)) a (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal -4 binary64)) (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/16 binary64)) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal 3/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64)))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))) (neg.f64 b)))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) c)))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

44.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
31.0ms
(*.f64 #s(literal 3 binary64) a)
27.0ms
c
23.0ms
a
23.0ms
b
Results
AccuracySegmentsBranch
97.5%1a
97.5%1c
97.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
97.5%1(*.f64 #s(literal 3 binary64) a)
97.5%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes96.0ms (0.8%)

Memory
6.7MiB live, 161.3MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 #s(approx (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) a)))) c)) b))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) #s(approx (* (+ (* (/ -3/8 b) (* a (/ c b))) -1/2) c) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 b b)))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c)) a))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) #s(literal 1/3 binary64)) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 #s(literal 3 binary64) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 a (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

5 calls:

17.0ms
c
16.0ms
a
15.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
15.0ms
(*.f64 #s(literal 3 binary64) a)
15.0ms
b
Results
AccuracySegmentsBranch
96.0%1a
96.0%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
96.0%1(*.f64 #s(literal 3 binary64) a)
96.0%1b
96.0%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes56.0ms (0.5%)

Memory
1.5MiB live, 80.2MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (/.f64 (fma.f64 #s(literal -2 binary64) b (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) #s(approx (/ (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) a)) b))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ b (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 2 binary64) c))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

18.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
13.0ms
b
8.0ms
(*.f64 #s(literal 3 binary64) a)
8.0ms
c
8.0ms
a
Results
AccuracySegmentsBranch
96.0%1b
96.0%1a
96.0%1c
96.0%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
96.0%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes19.0ms (0.2%)

Memory
-1.4MiB live, 36.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (*.f64 (/.f64 b c) #s(literal -2/3 binary64))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) a) (/.f64 #s(approx (+ (* -2/3 b) (* (* a (/ c b)) 1/2)) (*.f64 #s(literal -2/3 binary64) b)) c)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 #s(approx (+ (* (/ -9/8 b) (/ (* (* c c) a) b)) (* -3/2 c)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -3 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

5 calls:

5.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
3.0ms
a
3.0ms
(*.f64 #s(literal 3 binary64) a)
3.0ms
c
3.0ms
b
Results
AccuracySegmentsBranch
89.9%1b
89.9%1c
89.9%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
89.9%1a
89.9%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Calls

5 calls:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
89.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
89.6%1a
89.6%1b
89.6%1(*.f64 #s(literal 3 binary64) a)
89.6%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

simplify40.0ms (0.3%)

Memory
7.9MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152584
1172584
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (/ (pow c 3) (pow b 4))) (+ (* (/ -1/6 a) (* (* (pow c 4) (pow a 4)) (/ 405/64 (pow b 6)))) (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (* -1/2 c)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ (* a a) (pow b 4)) -9/16) (/ (* -135/128 (* (pow a 3) c)) (pow b 6))) (/.f64 #s(approx (+ (* (* (* (* a a) -9/16) b) b) (* (* (pow a 3) c) -135/128)) (*.f64 (fma.f64 (*.f64 c a) #s(literal -135/128 binary64) (*.f64 (*.f64 b b) #s(literal -9/16 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) c (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) #s(approx (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) #s(literal -1/2 binary64)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) b) (/.f64 c b) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b b))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) -3/8) b) (/ a b)) (+ (* (/ (* (* (pow c 3) a) a) (pow b 4)) -9/16) (* -1/2 c))) (*.f64 (fma.f64 #s(approx (+ (* (/ -3/8 b) (/ a b)) (/ (* -9/16 (* (* a a) c)) (pow b 4))) (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64))) c #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))

soundness967.0ms (7.8%)

Memory
-52.3MiB live, 896.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064452
0108440
1413432
23407432
08411432
0159617394
1528517195
0951916421
083416175
1259516024
0851415327
0145317219
1483216936
0869216225
04702458
114452441
248902418
080562302
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 633 to 236 computations (62.7% saved)

preprocess96.0ms (0.8%)

Memory
-6.5MiB live, 111.8MiB allocated
Compiler

Compiled 1 202 to 344 computations (71.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...