Quadratic roots, full range

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze176.0ms (2.2%)

Memory
30.9MiB live, 268.8MiB allocated; 44ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.3s (29.4%)

Memory
-123.0MiB live, 2 621.8MiB allocated; 1.6s collecting garbage
Samples
635.0ms191×3valid
580.0ms5 579×0valid
292.0ms1 144×2valid
274.0ms1 342×1valid
78.0ms916×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-sqrt: 739.0ms (48.2% of total)
ival-mult: 283.0ms (18.5% of total)
adjust: 190.0ms (12.4% of total)
ival-div: 121.0ms (7.9% of total)
ival-sub: 71.0ms (4.6% of total)
ival-add: 63.0ms (4.1% of total)
ival-neg: 47.0ms (3.1% of total)
exact: 9.0ms (0.6% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain182.0ms (2.3%)

Memory
-22.3MiB live, 414.3MiB allocated; 34ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-1(-2.2816179909062457e-305 -2.848828649124841e-159 2.4866094963859004e-22)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
510-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
120-1(2.709517067356582e-263 1.1332656677582621e+58 485587.19713876763)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue1030
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow103
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow15
(*.f64 b b)overflow90
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation510
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))u/n110
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow8
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow28
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow35
(*.f64 b b)underflow46
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue80
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow8
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow35
(*.f64 b b)underflow46
Confusion
Predicted +Predicted -
+1271
-16112
Precision
0.8881118881118881
Recall
0.9921875
Confusion?
Predicted +Predicted MaybePredicted -
+12701
-160112
Precision?
0.8881118881118881
Recall?
0.9921875
Freqs
test
numberfreq
0113
1113
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms354×0valid
20.0ms72×1valid
18.0ms72×2valid
4.0ms14×3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
adjust: 14.0ms (28.2% of total)
ival-mult: 14.0ms (28.2% of total)
ival-sqrt: 6.0ms (12.1% of total)
ival-div: 5.0ms (10.1% of total)
ival-add: 4.0ms (8.1% of total)
ival-sub: 3.0ms (6% of total)
ival-neg: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess38.0ms (0.5%)

Memory
6.7MiB live, 53.2MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054158
1172151
2492151
3938151
41378151
51569151
61693151
01417
02317
14317
29817
319017
428917
535717
638117
741917
845717
045716
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify11.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14370
29870
319070
428970
535770
638170
741970
845770
045766
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 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize48.0ms (0.6%)

Memory
-22.4MiB live, 72.1MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy2.809348598679727
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
accuracy11.816750896942064
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy26.022022526652844
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
17.0ms177×0valid
10.0ms36×2valid
6.0ms36×1valid
2.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (34.3% of total)
ival-div: 4.0ms (17.1% of total)
adjust: 3.0ms (12.9% of total)
ival-sqrt: 3.0ms (12.9% of total)
ival-sub: 2.0ms (8.6% of total)
ival-add: 2.0ms (8.6% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
6.8MiB live, 50.3MiB allocated; 5ms collecting garbage
Counts
5 → 98
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
c
@-inf
((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
b
@inf
((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
a
@inf
((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
a
@-inf
((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms
b
@0
((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify202.0ms (2.6%)

Memory
43.7MiB live, 223.6MiB allocated; 70ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05452842
119162807
279102807
080902667
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(neg.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (/.f64 c b) b) (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))) b (/.f64 b a)))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
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(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
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(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 b))
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
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(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
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(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) c)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #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)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #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)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #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)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite172.0ms (2.2%)

Memory
-7.6MiB live, 277.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17351
250850
3617649
0875145
Stop Event
iter limit
node limit
iter limit
Counts
5 → 363
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)))
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(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))
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(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (neg.f64 b))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(neg.f64 b)
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))

eval89.0ms (1.1%)

Memory
-35.9MiB live, 169.1MiB allocated; 23ms collecting garbage
Compiler

Compiled 17 326 to 2 038 computations (88.2% saved)

prune19.0ms (0.2%)

Memory
-5.1MiB live, 48.1MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New44315458
Fresh000
Picked101
Done000
Total44415459
Accuracy
92.8%
Counts
459 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
36.2%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) a))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
14.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a))
40.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
34.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
27.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
37.6%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
37.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
29.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
32.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c))
36.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
Compiler

Compiled 782 to 576 computations (26.3% saved)

simplify105.0ms (1.3%)

Memory
32.5MiB live, 125.7MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64))
cost-diff0
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a)
cost-diff2
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
cost-diff0
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
cost-diff0
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
cost-diff0
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
cost-diff0
(/.f64 (neg.f64 c) (*.f64 b b))
cost-diff0
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
cost-diff4
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047329
079329
1151326
2368318
3963312
42628312
54722312
65950312
77787312
08167312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
(/.f64 (neg.f64 c) (*.f64 b b))
(neg.f64 c)
c
(*.f64 b b)
b
(/.f64 b a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
b
(/.f64 a b)
a
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) a)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
(-.f64 (/.f64 b a) (/.f64 c b))
(/.f64 (neg.f64 c) (*.f64 b b))
(/.f64 (/.f64 c b) (neg.f64 b))
(neg.f64 c)
c
(*.f64 b b)
b
(/.f64 b a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a (neg.f64 b)) b) c #s(literal -1 binary64)) (/.f64 c b)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(*.f64 (fma.f64 (/.f64 (/.f64 a (neg.f64 b)) b) c #s(literal -1 binary64)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(*.f64 (fma.f64 (/.f64 (/.f64 a (neg.f64 b)) b) c #s(literal -1 binary64)) c)
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
b
(/.f64 a b)
a
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) #s(literal -2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))
b
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))
c
(*.f64 a #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) a)
a
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) a)

localize175.0ms (2.2%)

Memory
16.3MiB live, 197.3MiB allocated; 35ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.20511042775316
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
accuracy2.7195048486797266
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a)
accuracy11.810437954641662
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
accuracy21.50762126368767
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
accuracy0.01171875
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
accuracy1.2641325169935846
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
accuracy4.027570481851279
(/.f64 (*.f64 c c) b)
accuracy22.406132705386078
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
accuracy0.0
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
accuracy0.0
(neg.f64 c)
accuracy4.329645148073943
(/.f64 (neg.f64 c) (*.f64 b b))
accuracy19.269612182271278
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
accuracy0.0
(/.f64 (neg.f64 b) a)
accuracy0.0
(neg.f64 b)
accuracy19.394312867770473
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.00390625
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
accuracy2.7155985986797266
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy11.812844646942064
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
accuracy21.50397253193585
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
Samples
30.0ms36×1valid
29.0ms32×2valid
27.0ms92×0valid
25.0ms85×0invalid
23.0ms11×3valid
Compiler

Compiled 314 to 47 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 32.0ms (30.4% of total)
ival-div: 23.0ms (21.9% of total)
ival-sub: 15.0ms (14.3% of total)
adjust: 13.0ms (12.4% of total)
ival-add: 9.0ms (8.6% of total)
ival-sqrt: 8.0ms (7.6% of total)
ival-neg: 4.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series87.0ms (1.1%)

Memory
13.8MiB live, 57.5MiB allocated; 12ms collecting garbage
Counts
22 → 284
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(/.f64 (neg.f64 c) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(neg.f64 c)
(/.f64 (*.f64 c c) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
Outputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ b a))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (- (/ (* a c) b) b) a)
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* -1/2 (/ c (* a b)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/ c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(/ (* a c) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b))))
(* a (- (* a (- (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ b (* 2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b)))))
(+ b (* a (+ (* 2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* -1 (/ c b)) (/ b a))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* -1/2 (sqrt (/ c (pow a 3))))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1/2 (/ b a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))))
(* -2 (sqrt (* a c)))
(* a (- (/ b a) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (/ b a)) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 2 (sqrt (* a c)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a)))))
(* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a))))))
(* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* (sqrt -4) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/2 (/ b a)))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(* -1/2 (* (sqrt (* a c)) (* (sqrt -4) (sqrt -1))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
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(* -2 b)
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(* 2 b)
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 b)) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))))
Calls

9 calls:

TimeVariablePointExpression
32.0ms
a
@-inf
((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (+ (* (* c a) -4) (* b b)) (neg c) (/ (* c c) b) (sqrt (+ (* c (* a 4)) (* b b))))
9.0ms
c
@0
((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (+ (* (* c a) -4) (* b b)) (neg c) (/ (* c c) b) (sqrt (+ (* c (* a 4)) (* b b))))
6.0ms
a
@0
((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (+ (* (* c a) -4) (* b b)) (neg c) (/ (* c c) b) (sqrt (+ (* c (* a 4)) (* b b))))
6.0ms
c
@-inf
((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (+ (* (* c a) -4) (* b b)) (neg c) (/ (* c c) b) (sqrt (+ (* c (* a 4)) (* b b))))
6.0ms
b
@inf
((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg (+ (* (/ (* c c) b) (/ a b)) c)) b) (neg (+ (* (/ (* c c) b) (/ a b)) c)) (+ (* (/ (* c c) b) (/ a b)) c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (+ (* (* c a) -4) (* b b)) (neg c) (/ (* c c) b) (sqrt (+ (* c (* a 4)) (* b b))))

simplify285.0ms (3.6%)

Memory
-48.6MiB live, 232.5MiB allocated; 107ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012967761
146757688
082487332
Stop Event
iter limit
node limit
Counts
284 → 282
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ b a))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (- (/ (* a c) b) b) a)
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* -1/2 (/ c (* a b)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/ c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(/ (* a c) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b))))
(* a (- (* a (- (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ b (* 2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b)))))
(+ b (* a (+ (* 2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* -1 (/ c b)) (/ b a))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* -1/2 (sqrt (/ c (pow a 3))))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1/2 (/ b a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))))
(* -2 (sqrt (* a c)))
(* a (- (/ b a) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (/ b a)) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 2 (sqrt (* a c)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a)))))
(* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a))))))
(* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (- (/ c a) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* (sqrt -4) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/2 (/ b a)))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(* -1/2 (* (sqrt (* a c)) (* (sqrt -4) (sqrt -1))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* -1/2 b)) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* (sqrt (* a c)) (* (sqrt -4) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* (sqrt (* a c)) (* (sqrt -4) (sqrt -1))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(* 2 b)
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(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
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(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/.f64 (-.f64 b (*.f64 a (/.f64 c b))) a)
(/ (- (/ (* a c) b) b) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(* -1 c)
(neg.f64 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(-.f64 (*.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 c c) b)) c)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(fma.f64 (/.f64 a b) (/.f64 (*.f64 c c) b) c)
(* -1/2 (/ c (* a b)))
(*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(/ c b)
(/.f64 c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a)
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a)
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a)
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b))))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (- (* a (- (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ b (* 2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64) b)
(+ b (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* 2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a)
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(+ (* -1 (/ c b)) (/ b a))
(fma.f64 (/.f64 c b) #s(literal -1 binary64) (/.f64 b a))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(*.f64 (neg.f64 a) (+.f64 (/.f64 c (*.f64 a b)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))))
(* -1 (/ (* a (pow c 2)) (pow b 2)))
(*.f64 (/.f64 (neg.f64 a) b) (/.f64 (*.f64 c c) b))
(* a (- (* -1 (/ c a)) (/ (pow c 2) (pow b 2))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))
(/ (* a (pow c 2)) (pow b 2))
(*.f64 (/.f64 a b) (/.f64 (*.f64 c c) b))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(*.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)) a)
(* -1/2 (sqrt (/ c (pow a 3))))
(*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/256 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b a))))) a)
(sqrt (/ c a))
(sqrt.f64 (/.f64 c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a)))
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(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
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(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1 binary64) b)))
(* -1 (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b (* (pow a 2) c))))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (/.f64 b (*.f64 a a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/4 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b (* a c))))))
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b a) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) #s(literal -1/16 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 b)) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))))) c)) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite177.0ms (2.3%)

Memory
18.2MiB live, 338.8MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047271
079270
1277267
21986264
08433264
Stop Event
iter limit
node limit
iter limit
Counts
22 → 738
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(/.f64 (neg.f64 c) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64))
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(neg.f64 c)
(/.f64 (*.f64 c c) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))
Outputs
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
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(fabs.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a c)) #s(literal 4 binary64)))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(neg.f64 c)
(*.f64 (/.f64 c b) c)
(*.f64 (neg.f64 c) (/.f64 (neg.f64 c) b))
(*.f64 c (/.f64 c b))
(/.f64 (*.f64 (neg.f64 c) c) (neg.f64 b))
(/.f64 (*.f64 c c) b)
(neg.f64 (/.f64 (*.f64 (neg.f64 c) c) b))
(fabs.f64 (/.f64 (*.f64 (neg.f64 c) c) b))
(fabs.f64 (/.f64 (*.f64 c c) b))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) c) a (*.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (hypot.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) c) a (*.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) c) a (*.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) c) a (*.f64 (neg.f64 b) b))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 a c))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))

eval142.0ms (1.8%)

Memory
-2.2MiB live, 239.8MiB allocated; 30ms collecting garbage
Compiler

Compiled 37 841 to 4 388 computations (88.4% saved)

prune32.0ms (0.4%)

Memory
-6.9MiB live, 83.2MiB allocated; 6ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New87115886
Fresh6410
Picked325
Done000
Total88021901
Accuracy
93.0%
Counts
901 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
34.1%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
9.3%
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
28.3%
(/.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
4.5%
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 a c)))) a) (*.f64 #s(literal -2 binary64) a))
28.3%
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
22.3%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
40.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
34.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
13.0%
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
51.4%
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
11.1%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b)))) b))
9.7%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
11.3%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
11.0%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
Compiler

Compiled 1 170 to 770 computations (34.2% saved)

simplify117.0ms (1.5%)

Memory
-25.6MiB live, 122.9MiB allocated; 49ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
cost-diff3
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
cost-diff6
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
cost-diff0
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b))
cost-diff0
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64))
cost-diff0
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a)
cost-diff2
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
cost-diff0
(*.f64 #s(literal -2 binary64) a)
cost-diff0
(/.f64 c b)
cost-diff0
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b))
cost-diff0
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(/.f64 b #s(literal -2 binary64))
cost-diff0
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
cost-diff4
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048335
072328
1140321
2418314
32343311
08621305
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
(/.f64 b #s(literal -2 binary64))
b
#s(literal -2 binary64)
a
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
c
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b))
(/.f64 c b)
c
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a)
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64))
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(literal -2 binary64)
a
(*.f64 #s(literal -2 binary64) a)
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
Outputs
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(/.f64 b #s(literal -2 binary64))
(*.f64 b #s(literal -1/2 binary64))
b
#s(literal -2 binary64)
a
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
(*.f64 c a)
c
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 a #s(literal -2 binary64)))
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b))
(/.f64 c b)
c
b
(*.f64 #s(literal -2 binary64) a)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
a
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a)
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 b #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64))
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 b #s(literal 2 binary64))) #s(literal -2 binary64))
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b))
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
b
#s(literal -2 binary64)
a
(*.f64 #s(literal -2 binary64) a)
(*.f64 a #s(literal -2 binary64))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 b (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 a a) #s(literal -4 binary64))

localize172.0ms (2.2%)

Memory
40.1MiB live, 232.8MiB allocated; 38ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
accuracy17.005788062983367
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
accuracy18.085908678261994
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
accuracy21.50397253193585
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
accuracy0.0
(*.f64 #s(literal -2 binary64) a)
accuracy2.20511042775316
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
accuracy2.7195048486797266
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a)
accuracy19.306412214105997
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b))
accuracy0.0
(/.f64 c b)
accuracy0.0
(*.f64 #s(literal -2 binary64) a)
accuracy2.20511042775316
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
accuracy22.46792495165375
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b))
accuracy0.0
(/.f64 (neg.f64 c) b)
accuracy0.0
(neg.f64 c)
accuracy22.504166185863685
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy0.00390625
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
accuracy0.01171875
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy14.94686008319668
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
accuracy21.50397253193585
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
Samples
41.0ms43×2valid
31.0ms92×0valid
27.0ms85×0invalid
23.0ms16×3valid
19.0ms20×1valid
Compiler

Compiled 318 to 44 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 38.0ms (36.6% of total)
ival-div: 31.0ms (29.8% of total)
adjust: 13.0ms (12.5% of total)
ival-sqrt: 8.0ms (7.7% of total)
ival-add: 8.0ms (7.7% of total)
ival-sub: 3.0ms (2.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
-21.4MiB live, 68.2MiB allocated; 25ms collecting garbage
Counts
20 → 274
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
(/.f64 b #s(literal -2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b))
(/.f64 c b)
(*.f64 #s(literal -2 binary64) a)
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a)
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64))
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* -1/2 (/ b a))
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c (* a b)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/ c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(* -2 a)
(/ (* a c) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(* -2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b))))
(* a (- (* a (- (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* a (+ (* -2 b) (* 2 b)))
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -4 (pow a 2))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1/2 (sqrt (/ c (pow a 3))))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1/2 (/ b a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))))
(* -2 (sqrt (* a c)))
(* a (- (/ b a) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (/ b a)) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* (sqrt -4) (sqrt -1))))
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(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b (* (pow a 2) c))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 b)) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
c
@inf
((+ (/ (/ b -2) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b -2) a) (/ b -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ c b) (* -2 a) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)))
9.0ms
a
@0
((+ (/ (/ b -2) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b -2) a) (/ b -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ c b) (* -2 a) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)))
4.0ms
b
@inf
((+ (/ (/ b -2) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b -2) a) (/ b -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ c b) (* -2 a) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)))
4.0ms
a
@inf
((+ (/ (/ b -2) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b -2) a) (/ b -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ c b) (* -2 a) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)))
4.0ms
c
@-inf
((+ (/ (/ b -2) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b -2) a) (/ b -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ c b) (* -2 a) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (- b (sqrt (+ (* c (* a 4)) (* b b)))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)))

simplify307.0ms (3.9%)

Memory
7.9MiB live, 379.8MiB allocated; 48ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013277806
148317595
087267245
Stop Event
iter limit
node limit
Counts
274 → 273
Calls
Call 1
Inputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* -1/2 (/ b a))
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c (* a b)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/ c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(* -2 a)
(/ (* a c) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(* -2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b))))
(* a (- (* a (- (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* a (+ (* -2 b) (* 2 b)))
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -4 (pow a 2))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1/2 (sqrt (/ c (pow a 3))))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1/2 (/ b a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))))
(* -2 (sqrt (* a c)))
(* a (- (/ b a) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (/ b a)) (* 2 (sqrt (/ c a)))))
(* a (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 2 (sqrt (/ c a))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* (sqrt -4) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/2 (/ b a)))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b (* (pow a 2) c))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 b)) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1))))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
#s(literal 0 binary64)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a #s(literal 0 binary64)) a)
(* -1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(* 1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a (*.f64 #s(literal 1/2 binary64) b)) a)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -1/2 (/ c (* a b)))
(*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(/ c b)
(/.f64 c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a)
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a)
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a)
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* 2 (/ c b))))
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (- (* a (- (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* 2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
#s(literal 0 binary64)
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (* 2 b)))
#s(literal 0 binary64)
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c a) b) #s(literal 4 binary64) #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal 4 binary64))) a #s(literal 0 binary64)) a)
(* -4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal -4 binary64))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))))

rewrite302.0ms (3.8%)

Memory
14.6MiB live, 361.4MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048264
072257
1262247
22054246
08205240
Stop Event
iter limit
node limit
iter limit
Counts
20 → 861
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
(/.f64 b #s(literal -2 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b))
(/.f64 c b)
(*.f64 #s(literal -2 binary64) a)
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a)
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64))
#s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
Outputs
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -4 binary64) a))) a)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) (*.f64 #s(literal -4 binary64) a))) a)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 #s(literal 2 binary64) a))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) b) #s(literal -2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) a))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) (/.f64 (neg.f64 b) a)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) (/.f64 b #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 a))
(/.f64 (+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) #s(literal -2 binary64))) a)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a)) a)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a)) #s(literal -2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a)) (*.f64 #s(literal -4 binary64) a))) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a)) (*.f64 a #s(literal -2 binary64)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a #s(literal -2 binary64)) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a b) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (*.f64 a b))) (*.f64 (*.f64 #s(literal -4 binary64) a) a))))
(/.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (pow.f64 (/.f64 a (*.f64 (*.f64 #s(literal -4 binary64) a) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a b) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a #s(literal -2 binary64)) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a b) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a #s(literal -2 binary64)) a)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (/.f64 (*.f64 a b) a)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -4 binary64) a) a))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) b) a))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -4 binary64) a) a) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a) (*.f64 (*.f64 #s(literal 2 binary64) b) a)))) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (neg.f64 a) (*.f64 a (/.f64 b #s(literal 2 binary64))))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64)) (*.f64 a b))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 a) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 b #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) b))) (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 b #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal 2 binary64)) a (*.f64 (neg.f64 a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64)) (*.f64 (neg.f64 a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (*.f64 (neg.f64 a) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 a #s(literal -2 binary64)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a)))
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal -4 binary64)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) a)) c))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fabs.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64)))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))

eval157.0ms (2%)

Memory
16.0MiB live, 244.3MiB allocated; 41ms collecting garbage
Compiler

Compiled 38 166 to 3 757 computations (90.2% saved)

prune57.0ms (0.7%)

Memory
-22.3MiB live, 122.2MiB allocated; 26ms collecting garbage
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New98311994
Fresh21214
Picked325
Done022
Total988271 015
Accuracy
93.0%
Counts
1 015 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
22.4%
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
44.3%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) #s(literal -2 binary64))) a) (*.f64 #s(literal 2 binary64) a))
28.3%
(/.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
4.5%
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 c a)))) a) (*.f64 #s(literal -2 binary64) a))
9.3%
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
28.3%
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
22.3%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
40.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
34.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
13.0%
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
24.9%
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 a b) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
24.2%
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (neg.f64 b) (*.f64 #s(literal -4 binary64) (-.f64 a (*.f64 (/.f64 (*.f64 a a) b) (/.f64 c b)))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
34.7%
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)))
11.1%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b)))) b))
9.7%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
11.3%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
11.0%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
22.4%
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
28.6%
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
12.8%
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
Compiler

Compiled 1 568 to 1 041 computations (33.6% saved)

simplify158.0ms (2%)

Memory
18.4MiB live, 169.8MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
cost-diff3
(fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
cost-diff5
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
#s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b))
cost-diff0
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a)
cost-diff0
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
cost-diff0
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
cost-diff0
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
cost-diff0
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
cost-diff14
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059398
089400
1167387
2524358
33177356
08119351
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
a
c
(*.f64 b b)
b
#s(literal 1/4 binary64)
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
(/.f64 b #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a)
#s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b))
(neg.f64 b)
b
a
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
b
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
Outputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
#s(literal -4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b b)
b
#s(literal 1/4 binary64)
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 b #s(literal -2 binary64)) a)
(/.f64 b #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a)
#s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b))
(neg.f64 b)
b
a
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) b)) a)
(fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
(sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
b
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 a a) #s(literal -4 binary64))

localize262.0ms (3.3%)

Memory
-2.5MiB live, 330.8MiB allocated; 37ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy17.005788062983367
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
accuracy18.085908678261994
(fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
accuracy21.50397253193585
(sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
accuracy40.44442281150726
#s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy2.7155985986797266
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
accuracy11.812844646942064
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
accuracy21.50397253193585
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
accuracy40.44442281150726
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
accuracy0.0
(neg.f64 b)
accuracy2.20511042775316
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
accuracy2.7195048486797266
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a)
accuracy19.306169485371072
#s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b))
accuracy35.32028488340364
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
accuracy0.00390625
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
accuracy0.1796875
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
accuracy19.06655971197697
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
accuracy22.15727429680015
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))
Samples
78.0ms43×2valid
60.0ms85×0invalid
44.0ms16×3valid
31.0ms92×0valid
17.0ms20×1valid
Compiler

Compiled 355 to 48 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-mult: 75.0ms (41.9% of total)
adjust: 37.0ms (20.7% of total)
ival-pow: 24.0ms (13.4% of total)
ival-div: 21.0ms (11.7% of total)
ival-sqrt: 8.0ms (4.5% of total)
ival-add: 8.0ms (4.5% of total)
ival-sub: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series82.0ms (1%)

Memory
-1.8MiB live, 43.4MiB allocated; 7ms collecting garbage
Counts
18 → 315
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a)
#s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b))
(neg.f64 b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* (pow 1 1/4) (* (/ 1 a) (sqrt b)))
(/ (+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) a)
(* (pow 1 1/4) (sqrt b))
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* -1/2 (/ c (* a b)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/ c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(/ (* a c) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* a (+ (* -2 b) (* 2 b)))
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -4 (pow a 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) a)
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1/2 (sqrt (/ c (pow a 3))))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1/2 (/ b a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) a)
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c)) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) a))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) a)) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) a))
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* (sqrt -4) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/2 (/ b a)))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(* -1/2 (* (sqrt (* a c)) (* (sqrt -4) (sqrt -1))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* -1/2 b)) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(pow (/ (* -4 c) (pow a 3)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4) (pow b 2))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4) (pow b 2))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 15) (pow c 11))) 1/4) (pow b 2))))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(pow (* -4 (* a c)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4))
(+ (* -1/2 (sqrt (/ c (pow a 3)))) (* 1/4 (/ b (pow a 2))))
(+ (* -1/2 (sqrt (/ c (pow a 3)))) (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) b)) (* 1/4 (/ 1 (pow a 2))))))
(+ (* -1/2 (sqrt (/ c (pow a 3)))) (* b (+ (* b (+ (* -1/16 (sqrt (/ 1 (* (pow a 5) c)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (pow b 2))))) (* 1/4 (/ 1 (pow a 2))))))
(+ (sqrt (/ c a)) (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) b)) (* 1/2 (/ 1 a)))))
(+ (sqrt (/ c a)) (* b (- (* b (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 2))) (* 1/8 (sqrt (/ 1 (* (pow a 3) c)))))) (* 1/2 (/ 1 a)))))
(+ (sqrt (* a c)) (* -1/2 b))
(+ (sqrt (* a c)) (* b (- (* 1/8 (* (sqrt (/ 1 (* a c))) b)) 1/2)))
(+ (sqrt (* a c)) (* b (- (* b (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))) (* 1/8 (sqrt (/ 1 (* a c)))))) 1/2)))
(* -1 b)
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b)))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* (/ 1 a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (* (/ 1 a) (sqrt b)))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (+ (* (/ 1 a) (sqrt b)) (* (/ (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) a) (sqrt (/ 1 (pow b 7))))))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (+ (* (/ 1 a) (sqrt b)) (+ (* (/ (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))) a) (sqrt (/ 1 (pow b 11)))) (* (/ (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) a) (sqrt (/ 1 (pow b 7)))))))
(sqrt b)
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))))
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1/4 (/ (* b (+ (* -2 a) (* 2 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))))
(/ (+ (* -1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2)))) b)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow b 4))) (+ (* -1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2))))) b)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow b 4))) (+ (* -1/2 (/ c a)) (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow b 6)))) (* 1/2 (/ (pow c 2) (pow b 2)))))) b)
(/ (+ c (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ c (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* a c)) b)
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (* a c))) b)
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (* a c)))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (+ (* -2 a) (* 2 a)))
(* b (+ (* -2 a) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* (/ (sqrt -1) a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (* (/ (sqrt -1) a) (sqrt b)))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt b)) (* (/ (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) a) (sqrt (/ 1 (pow b 7))))))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt b)) (+ (* (/ (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))) a) (sqrt (/ 1 (pow b 11)))) (* (/ (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) a) (sqrt (/ 1 (pow b 7)))))))
(* (sqrt b) (sqrt -1))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1)))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))))
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))))
(* 1/2 (/ b (pow a 2)))
(* -1 (* b (- (* -1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2))))))
(* -1 (* b (- (+ (* -1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/2 (/ 1 (pow a 2))))))
(* -1 (* b (- (+ (* -1 (/ (* a (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4))))) (* 1/2 (/ 1 (pow a 2))))))
(* -1 (* b (+ (/ 1 a) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (+ (/ 1 a) (/ c (pow b 2))))))
(* -1 (* b (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ 1 a) (/ c (pow b 2)))))))
(* -1 (* b (+ 1 (/ (* a c) (pow b 2)))))
(* -1 (* b (+ 1 (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (/ (* a c) (pow b 2)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 4 (* a b))
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* (pow 1 1/4) (* (/ (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))) a) (sqrt b))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* c (+ (* (pow 1 1/4) (* (/ (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))) a) (sqrt b))) (* (pow 1 1/4) (* (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))) a) (sqrt b))))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b)))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b)))
(* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* c (- (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))
(* c (- (* c (+ (* -1 (/ (* a c) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b)))))
(* c (- (* c (+ (* c (+ (* -1 (/ a (pow b 5))) (* 1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* (pow a 2) b))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b)))))
(* c (+ (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ (* (pow a 2) c) (pow b 5))))) (/ 1 b)))
(* c (+ (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(* c (+ (* -1 (/ (* (pow a 2) c) (pow b 3))) (/ a b)))
(* c (+ (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 2 (/ (* (pow a 3) c) (pow b 5))))) (/ a b)))
(* c (+ (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* 2 (/ (pow a 3) (pow b 5))))))) (/ a b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* -2 (* a b)) (* 2 (* a b)))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2)))))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (* a (pow c 3))))))
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -1/2 (sqrt (/ 1 (* (pow a 3) c)))) (* 1/4 (/ b (* (pow a 2) c)))))
(* c (+ (* -1/2 (sqrt (/ 1 (* (pow a 3) c)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 2))) (* 1/4 (/ b (* (pow a 2) c))))))
(* c (+ (* -1/2 (sqrt (/ 1 (* (pow a 3) c)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 4))) (* 1/4 (/ b (* (pow a 2) c)))))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1/2 (/ b (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1/2 (/ b (* a c))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2)))))))
(* c (+ (sqrt (/ a c)) (* -1/2 (/ b c))))
(* c (+ (sqrt (/ a c)) (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/2 (/ b c)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 2)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c)))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a c))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) a)) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b (* (pow a 2) c))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 b)) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Calls

9 calls:

TimeVariablePointExpression
37.0ms
a
@-inf
((+ (* (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) 2)) (/ (/ b -2) a)) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (pow (+ (* -4 (* a c)) (* b b)) 1/4) (+ (* -4 (* a c)) (* b b)) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (- (* b b) (* (* 4 a) c)) (+ (* -4 (* a c)) (* b b)))
12.0ms
c
@0
((+ (* (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) 2)) (/ (/ b -2) a)) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (pow (+ (* -4 (* a c)) (* b b)) 1/4) (+ (* -4 (* a c)) (* b b)) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (- (* b b) (* (* 4 a) c)) (+ (* -4 (* a c)) (* b b)))
6.0ms
b
@0
((+ (* (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) 2)) (/ (/ b -2) a)) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (pow (+ (* -4 (* a c)) (* b b)) 1/4) (+ (* -4 (* a c)) (* b b)) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (- (* b b) (* (* 4 a) c)) (+ (* -4 (* a c)) (* b b)))
4.0ms
b
@inf
((+ (* (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) 2)) (/ (/ b -2) a)) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (pow (+ (* -4 (* a c)) (* b b)) 1/4) (+ (* -4 (* a c)) (* b b)) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (- (* b b) (* (* 4 a) c)) (+ (* -4 (* a c)) (* b b)))
4.0ms
a
@inf
((+ (* (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) 2)) (/ (/ b -2) a)) (/ (pow (+ (* -4 (* a c)) (* b b)) 1/4) a) (pow (+ (* -4 (* a c)) (* b b)) 1/4) (+ (* -4 (* a c)) (* b b)) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (- (* b b) (* (* 4 a) c)) (+ (* -4 (* a c)) (* b b)))

simplify212.0ms (2.7%)

Memory
18.4MiB live, 197.8MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016429846
161159833
080309370
Stop Event
iter limit
node limit
Counts
315 → 314
Calls
Call 1
Inputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* (pow 1 1/4) (* (/ 1 a) (sqrt b)))
(/ (+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) a)
(* (pow 1 1/4) (sqrt b))
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* -1/2 (/ c (* a b)))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/ c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(/ (* a c) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* a (+ (* -2 b) (* 2 b)))
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -4 (pow a 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) a)
(/ (+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) a)
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3)))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1/2 (sqrt (/ c (pow a 3))))
(/ (+ (* -1/2 (sqrt (/ c a))) (* 1/4 (/ b a))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (* 1/4 (/ b a)))) a)
(/ (+ (* -1/2 (sqrt (/ c a))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/4 (/ b a))))) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1/2 (/ b a)))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))
(+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1/2 (/ b a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/2 (/ b a)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 2)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) a)
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c)) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) a))) a))
(* -1 (/ (+ (* -1 (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) a)) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) a))
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* (sqrt -4) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/4 b)) a)) (* -1/4 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))) a))
(* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* -1/2 (/ b a)))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) a)) (* 1/2 b)) a)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))
(* -1/2 (* (sqrt (* a c)) (* (sqrt -4) (sqrt -1))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) a)) (* -1/2 b)) a)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -4) (sqrt -1)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(pow (/ (* -4 c) (pow a 3)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4) (pow b 2))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4) (pow b 2))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 7) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 11) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 15) (pow c 11))) 1/4) (pow b 2))))))) (pow (/ (* -4 c) (pow a 3)) 1/4))
(pow (* -4 (* a c)) 1/4)
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4))
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4))
(+ (* -1/2 (sqrt (/ c (pow a 3)))) (* 1/4 (/ b (pow a 2))))
(+ (* -1/2 (sqrt (/ c (pow a 3)))) (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) b)) (* 1/4 (/ 1 (pow a 2))))))
(+ (* -1/2 (sqrt (/ c (pow a 3)))) (* b (+ (* b (+ (* -1/16 (sqrt (/ 1 (* (pow a 5) c)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (pow b 2))))) (* 1/4 (/ 1 (pow a 2))))))
(+ (sqrt (/ c a)) (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) b)) (* 1/2 (/ 1 a)))))
(+ (sqrt (/ c a)) (* b (- (* b (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 2))) (* 1/8 (sqrt (/ 1 (* (pow a 3) c)))))) (* 1/2 (/ 1 a)))))
(+ (sqrt (* a c)) (* -1/2 b))
(+ (sqrt (* a c)) (* b (- (* 1/8 (* (sqrt (/ 1 (* a c))) b)) 1/2)))
(+ (sqrt (* a c)) (* b (- (* b (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))) (* 1/8 (sqrt (/ 1 (* a c)))))) 1/2)))
(* -1 b)
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b)))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))))
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(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* (/ 1 a) (sqrt b))
(+ (* -1 (* (sqrt (/ 1 (pow b 3))) c)) (* (/ 1 a) (sqrt b)))
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(sqrt b)
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))))
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1/4 (/ (* b (+ (* -2 a) (* 2 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))))
(/ (+ (* -1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2)))) b)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow b 4))) (+ (* -1/2 (/ c a)) (* 1/2 (/ (pow c 2) (pow b 2))))) b)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow b 4))) (+ (* -1/2 (/ c a)) (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow b 6)))) (* 1/2 (/ (pow c 2) (pow b 2)))))) b)
(/ (+ c (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ c (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* a c)) b)
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (* a c))) b)
(/ (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (* a c)))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* b (+ (* -2 a) (* 2 a)))
(* b (+ (* -2 a) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
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(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
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(* (/ (sqrt -1) a) (sqrt b))
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(* (sqrt b) (sqrt -1))
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(* 1/2 (/ b (pow a 2)))
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(* -1 (* b (- (+ (* -1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/2 (/ 1 (pow a 2))))))
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(* -1 (* b (+ (/ 1 a) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (+ (/ 1 a) (/ c (pow b 2))))))
(* -1 (* b (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ 1 a) (/ c (pow b 2)))))))
(* -1 (* b (+ 1 (/ (* a c) (pow b 2)))))
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(* -1 (* b (+ 1 (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (/ (* a c) (pow b 2)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 4 (* a b))
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* (pow 1 1/4) (* (/ (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))) a) (sqrt b))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (sqrt (/ 1 (pow b 3))))) (* c (+ (* (pow 1 1/4) (* (/ (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))) a) (sqrt b))) (* (pow 1 1/4) (* (/ (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))) a) (sqrt b))))))) (* (pow 1 1/4) (* (/ 1 a) (sqrt b))))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b)))
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b)))
(* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* c (- (* 1/2 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))
(* c (- (* c (+ (* -1 (/ (* a c) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b)))))
(* c (- (* c (+ (* c (+ (* -1 (/ a (pow b 5))) (* 1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* (pow a 2) b))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b)))))
(* c (+ (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (+ (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ (* (pow a 2) c) (pow b 5))))) (/ 1 b)))
(* c (+ (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(* c (+ (* -1 (/ (* (pow a 2) c) (pow b 3))) (/ a b)))
(* c (+ (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 2 (/ (* (pow a 3) c) (pow b 5))))) (/ a b)))
(* c (+ (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* 2 (/ (pow a 3) (pow b 5))))))) (/ a b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* -2 (* a b)) (* 2 (* a b)))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2)))))
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* (pow a 2) c))) (+ (/ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a (pow c 2))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (* a (pow c 3))))))
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))))
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(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -1/2 (sqrt (/ 1 (* (pow a 3) c)))) (* 1/4 (/ b (* (pow a 2) c)))))
(* c (+ (* -1/2 (sqrt (/ 1 (* (pow a 3) c)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 2))) (* 1/4 (/ b (* (pow a 2) c))))))
(* c (+ (* -1/2 (sqrt (/ 1 (* (pow a 3) c)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 2))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 4))) (* 1/4 (/ b (* (pow a 2) c)))))))
(* c (+ (sqrt (/ 1 (* a c))) (* -1/2 (/ b (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1/2 (/ b (* a c))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2)))))))
(* c (+ (sqrt (/ a c)) (* -1/2 (/ b c))))
(* c (+ (sqrt (/ a c)) (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/2 (/ b c)) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 4))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 2)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c)))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a)
(+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* (pow a 2) c))) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (* a c))) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) a)) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (pow a 2)))) c)) (/ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) a))
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))) (* -1/4 (/ b (* (pow a 2) c))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3))))) c)) (* 1/4 (/ b (pow a 2)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 (/ b a))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -4))))) c)) (* -1/2 b)) c)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Outputs
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(*.f64 (/.f64 b a) #s(literal 0 binary64))
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 b #s(literal 0 binary64))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b)) a)) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) a)) a)
(* (pow 1 1/4) (* (/ 1 a) (sqrt b)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 b))
(/ (+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) a)
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) c (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) a) (sqrt.f64 b)) #s(literal 1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) a)
(/ (+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) (sqrt.f64 b) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 11/6 binary64) (/.f64 (*.f64 #s(literal -16/3 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) a) (sqrt.f64 b)))) a (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) a)
(* (pow 1 1/4) (sqrt b))
(*.f64 (sqrt.f64 b) #s(literal 1 binary64))
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b)))
(fma.f64 (neg.f64 (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 b) #s(literal 1 binary64)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b)))
(fma.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) c (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) a) (sqrt.f64 b)) #s(literal 1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64)))
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) (sqrt.f64 b) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 11/6 binary64) (/.f64 (*.f64 #s(literal -16/3 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) a) (sqrt.f64 b)))) a (*.f64 (neg.f64 c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(*.f64 (*.f64 (/.f64 b a) #s(literal 0 binary64)) #s(literal -1/4 binary64))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/4 binary64))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b)) a (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/4 binary64))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) a (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/4 binary64))) a)
(* -1/2 (/ c (* a b)))
(*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 5))) (* 1/2 (/ (pow c 2) (pow b 3)))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 (/ c b)) (* a (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(/ c b)
(/.f64 c b)
(+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 c b))
(+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 c b))
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a)
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 2 (/ (* a (pow c 3)) (pow b 5))))) (/ c b)))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 c b)) a)
(* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))))) (/ c b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 c b)) a)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(* a (+ (* -2 b) (* 2 b)))
(*.f64 (*.f64 b #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(*.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 4 binary64))) a)
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
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(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -4 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal -2 binary64))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 b a) #s(literal 2 binary64))) c))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 b a) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c))) c))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))

rewrite238.0ms (3%)

Memory
-16.3MiB live, 240.5MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059315
089308
1301276
22353276
08572273
Stop Event
iter limit
node limit
iter limit
Counts
18 → 963
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a)
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a)
#s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b))
(neg.f64 b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
Outputs
(/.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (fma.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) a (*.f64 a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a #s(literal -4 binary64))))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a) (*.f64 a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 a (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)))) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) a) (*.f64 a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 a (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (*.f64 a (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a #s(literal -4 binary64)) a) (*.f64 a (*.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 a (*.f64 (*.f64 a #s(literal -4 binary64)) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) a (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 a #s(literal -4 binary64)) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 a #s(literal -4 binary64)) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 a #s(literal -4 binary64)) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) a (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -4 binary64)) a) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 a #s(literal -4 binary64)) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a #s(literal -4 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 a #s(literal -4 binary64)) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 a #s(literal -4 binary64)) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 a #s(literal -4 binary64)) a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) a (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a #s(literal -4 binary64))))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) a))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))))) (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal 2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) a)))
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(*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) a)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(*.f64 a (*.f64 a #s(literal -4 binary64)))
(fma.f64 (*.f64 a a) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(fma.f64 (*.f64 #s(literal -2 binary64) a) a (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(fma.f64 a (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 #s(literal -2 binary64) a) a))
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(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
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(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
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#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
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(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
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(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 1 binary64)))
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eval178.0ms (2.3%)

Memory
-8.3MiB live, 219.6MiB allocated; 34ms collecting garbage
Compiler

Compiled 52 059 to 4 565 computations (91.2% saved)

prune61.0ms (0.8%)

Memory
-3.5MiB live, 100.1MiB allocated; 11ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New1 18381 191
Fresh71118
Picked235
Done044
Total1 192261 218
Accuracy
93.0%
Counts
1 218 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
22.4%
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 a #s(literal -4 binary64)) a))
33.4%
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
4.5%
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 c a)))) a) (*.f64 #s(literal -2 binary64) a))
9.3%
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
28.3%
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
27.5%
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
34.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
13.0%
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
24.9%
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
24.2%
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (neg.f64 b) (*.f64 #s(literal -4 binary64) (-.f64 a (*.f64 (/.f64 (*.f64 a a) b) (/.f64 c b)))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
27.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
34.7%
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)))
11.1%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b)))) b))
9.7%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64)))
11.3%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
11.0%
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
22.4%
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
28.6%
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
12.8%
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
32.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
37.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
Compiler

Compiled 2 301 to 839 computations (63.5% saved)

regimes91.0ms (1.2%)

Memory
6.1MiB live, 50.1MiB allocated; 4ms collecting garbage
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 a b) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 a c)))) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 c a)))) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b)))) b))
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)))
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 a #s(literal -4 binary64)) a))
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)))
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (neg.f64 b) (*.f64 #s(literal -4 binary64) (-.f64 a (*.f64 (/.f64 (*.f64 a a) b) (/.f64 c b)))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) a) #s(literal -2 binary64))) a) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal -2 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

52.0ms
b
13.0ms
c
12.0ms
a
11.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
74.8%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
52.3%1a
87.9%3b
56.9%3c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes10.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 a b) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 a c)))) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (fma.f64 #s(literal -1/2 binary64) b (sqrt.f64 (*.f64 c a)))) a) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b)))) b))
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)))
(+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 a #s(literal -4 binary64)) a))
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
87.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 a b) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 4)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
84.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.3%)

Memory
-27.7MiB live, 18.3MiB allocated; 3ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 #s(approx (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) (neg.f64 b)) a) (*.f64 #s(literal -2 binary64) a))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 a b) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) c))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

21.0ms
b
4.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
51.2%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
68.4%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)))
#s(approx (/ (/ (/ (- b (sqrt (+ (* c (* a 4)) (* b b)))) -2) a) (* -2 a)) (*.f64 (/.f64 c (*.f64 b a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b #s(literal 0 binary64)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
68.2%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
c
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
37.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
37.8%1a
41.0%3c
48.0%2b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
Outputs
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
a
1.0ms
b
1.0ms
c
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
12.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
12.8%1a
12.8%1c
12.8%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch49.0ms (0.6%)

Memory
-37.9MiB live, 57.0MiB allocated; 18ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
24.0ms
5.227375550450033e-86
1.192155709428595e-80
16.0ms
-6.726743585146859e+161
-9.608272200180037e+150
Samples
20.0ms175×0valid
5.0ms32×1valid
4.0ms17×2valid
3.0ms34×0invalid
Compiler

Compiled 679 to 536 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.4% of total)
adjust: 2.0ms (11.8% of total)
ival-div: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-sub: 1.0ms (5.9% of total)
ival-add: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
1.0ms
5.227375550450033e-86
1.192155709428595e-80
1.0ms
-6.726743585146859e+161
-9.608272200180037e+150
Compiler

Compiled 637 to 508 computations (20.3% saved)

bsearch27.0ms (0.3%)

Memory
7.4MiB live, 50.0MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.227375550450033e-86
1.192155709428595e-80
23.0ms
-2.5049480948972575e-64
-7.127480566468824e-73
Samples
11.0ms144×0valid
2.0ms29×0invalid
Compiler

Compiled 830 to 686 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.6% of total)
ival-div: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-sub: 1.0ms (11.4% of total)
ival-sqrt: 1.0ms (11.4% of total)
ival-neg: 1.0ms (11.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory
6.1MiB live, 51.3MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-2.2727758413081706e-303
8.334096003876665e-309
Samples
12.0ms144×0valid
5.0ms65×0invalid
Compiler

Compiled 569 to 416 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.8% of total)
ival-neg: 3.0ms (25.1% of total)
ival-div: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
ival-sub: 1.0ms (8.4% of total)
ival-sqrt: 1.0ms (8.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch44.0ms (0.6%)

Memory
-28.0MiB live, 38.0MiB allocated; 18ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.1857576413182446e-245
7.892113253477649e-245
Samples
7.0ms92×0valid
4.0ms53×0invalid
1.0ms1valid
Compiler

Compiled 284 to 236 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (39.9% of total)
ival-div: 1.0ms (13.3% of total)
ival-add: 1.0ms (13.3% of total)
ival-sub: 1.0ms (13.3% of total)
ival-sqrt: 1.0ms (13.3% of total)
ival-neg: 1.0ms (13.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.2727758413081706e-303
8.334096003876665e-309
Compiler

Compiled 488 to 371 computations (24% saved)

simplify57.0ms (0.7%)

Memory
46.1MiB live, 88.7MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083447
1154444
2460426
32074412
46832412
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 5339967589802275/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 5339967589802275/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5339967589802275/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 2952075737355269/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
Outputs
(if (<=.f64 b #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 5339967589802275/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (+.f64 (/.f64 (/.f64 b #s(literal -2 binary64)) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 5339967589802275/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5339967589802275/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 2952075737355269/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* -4 (* a c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))

derivations763.0ms (9.7%)

Memory
-24.2MiB live, 637.8MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17351
250850
3617649
0875145
047271
079270
1277267
21986264
08433264
012967761
146757688
082487332
013277806
148317595
087267245
05452842
119162807
279102807
080902667
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 447 to 86 computations (80.8% saved)

preprocess95.0ms (1.2%)

Memory
6.8MiB live, 69.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 928 to 200 computations (78.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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