The quadratic formula (r2)

Time bar (total: 6.8s)

analyze161.0ms (2.4%)

Memory
7.8MiB live, 365.0MiB allocated
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)

sample2.0s (28.5%)

Memory
23.5MiB live, 2 263.3MiB allocated
Samples
564.0ms5 503×0valid
468.0ms1 200×2valid
187.0ms1 374×1valid
148.0ms944×0invalid
45.0ms179×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 403.0ms (37.2% of total)
ival-sqrt: 242.0ms (22.3% of total)
adjust: 152.0ms (14% of total)
ival-sub: 125.0ms (11.5% of total)
ival-div: 98.0ms (9% of total)
ival-neg: 45.0ms (4.2% of total)
exact: 9.0ms (0.8% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess213.0ms (3.1%)

Memory
6.9MiB live, 163.5MiB allocated
Algorithm
egg-herbie
Rules
1 418×times-frac
1 146×distribute-rgt-in
1 120×lower-fma.f64
1 120×lower-fma.f32
974×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056158
1189151
2590147
31942144
44692144
55896144
66384144
76472144
86511144
96782144
01417
02317
14517
210417
324716
440916
574316
6157016
7208216
8224216
9231216
10232216
11232216
12232816
0232815
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))

explain193.0ms (2.8%)

Memory
10.5MiB live, 413.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
900-2(-8.683031026322726e-71 9.058036559232658e-215 3.1975301581111723e-246)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
470-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
140-1(7.470894521270418e-266 -1.6686740637356318e-181 1.2366720841075128e-238)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
10-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-a
00-0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-(*.f64 a c)
00-0-#s(literal 4 binary64)
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-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))oflow-rescue830
(*.f64 b b)overflow64
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow24
(*.f64 a c)overflow24
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))overflow83
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))cancellation470
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))u/n130
(*.f64 b b)underflow53
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))underflow21
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow36
(*.f64 a c)underflow36
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))uflow-rescue50
(*.f64 b b)underflow53
(*.f64 #s(literal 4 binary64) (*.f64 a c))underflow36
(*.f64 a c)underflow36
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))underflow5
-.f64(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))nan-rescue10
(*.f64 b b)overflow64
(*.f64 #s(literal 4 binary64) (*.f64 a c))overflow24
(*.f64 a c)overflow24
Confusion
Predicted +Predicted -
+1102
-18126
Precision
0.859375
Recall
0.9821428571428571
Confusion?
Predicted +Predicted MaybePredicted -
+11002
-180126
Precision?
0.859375
Recall?
0.9821428571428571
Freqs
test
numberfreq
0128
1108
219
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms376×0valid
14.0ms74×1valid
11.0ms50×2valid
6.0ms12×3valid
Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 12.0ms (31.8% of total)
ival-sqrt: 7.0ms (18.5% of total)
ival-sub: 6.0ms (15.9% of total)
ival-div: 5.0ms (13.2% of total)
adjust: 4.0ms (10.6% of total)
ival-neg: 2.0ms (5.3% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify134.0ms (2%)

Memory
-5.7MiB live, 69.9MiB allocated
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 #s(literal 4 binary64) (*.f64 a c)))))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Rules
1 120×lower-fma.f64
1 120×lower-fma.f32
744×lower-*.f32
736×lower-*.f64
456×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14570
210470
324769
440969
574369
6157069
7208269
8224269
9231269
10232269
11232269
12232869
0232865
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
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 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize54.0ms (0.8%)

Memory
19.8MiB live, 102.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy95.0%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
accuracy82.8%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy67.6%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
Samples
20.0ms188×0valid
9.0ms37×1valid
6.0ms25×2valid
2.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.1% of total)
ival-sub: 3.0ms (16.5% of total)
ival-div: 3.0ms (16.5% of total)
ival-sqrt: 3.0ms (16.5% of total)
adjust: 2.0ms (11% of total)
ival-neg: 1.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
3.7MiB live, 43.1MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))>
#<alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* 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)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* 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)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 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))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(sqrt (- (* b b) (* 4 (* a c))))
1.0ms
c
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
b
@inf
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms
a
@-inf
(sqrt (- (* b b) (* 4 (* a c))))
1.0ms
b
@0
(sqrt (- (* b b) (* 4 (* a c))))

rewrite418.0ms (6.1%)

Memory
-7.0MiB live, 434.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 318×lower-fma.f64
5 318×lower-fma.f32
4 626×lower-*.f32
4 618×lower-*.f64
3 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
02349
18149
259147
0809443
Stop Event
iter limit
node limit
iter limit
Counts
4 → 484
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 (*.f64 b b) (/.f64 b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1 binary64) b)
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(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))
(*.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(*.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (pow.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))

simplify400.0ms (5.8%)

Memory
15.8MiB live, 524.7MiB allocated
Algorithm
egg-herbie
Rules
9 868×lower-fma.f64
9 868×lower-fma.f32
7 984×lower-*.f64
7 984×lower-*.f32
2 264×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453114
117183085
257543046
081162886
Stop Event
iter limit
node limit
Counts
144 → 141
Calls
Call 1
Inputs
(* (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)))))))))
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)
(* -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))))))))
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))))))))
(* (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))))))
(* -2 (* (sqrt (* a c)) (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))))))))
b
(+ b (* -2 (/ (* a c) 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))))))))
(* (sqrt (* a c)) (sqrt -4))
(* 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))))))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(- (* -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)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* 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)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 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))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
Outputs
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (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)))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (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)))))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(fma.f64 b (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))) b)
(* 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)))))))
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(fma.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) (*.f64 b b)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(fma.f64 b (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 b))
(* -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))))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c 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 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c 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 a (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(* -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)))))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))))
(* -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))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (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 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) (neg.f64 c))
(* -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 (fma.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/512 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))) (neg.f64 c))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (neg.f64 b))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(- (* 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)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))))) #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(*.f64 b (fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c (*.f64 b b)) #s(literal -2 binary64)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 b (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64)))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (neg.f64 b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 b))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))) (*.f64 b #s(literal -2 binary64)))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
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(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)))

simplify131.0ms (1.9%)

Memory
5.4MiB live, 197.7MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110518965
1110618965
0110618965
Stop Event
saturated
saturated
Counts
484 → 0
Calls
Call 1
Inputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
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(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
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(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1 binary64) b)
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(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 (*.f64 b b) (/.f64 b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1 binary64) b)
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) b)
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) b)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) b)
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(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))

eval264.0ms (3.9%)

Memory
-187.9MiB live, 71.7MiB allocated
Compiler

Compiled 7 627 to 537 computations (93% saved)

prune21.0ms (0.3%)

Memory
12.3MiB live, 55.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2748282
Fresh000
Picked101
Done000
Total2758283
Accuracy
90.5%
Counts
283 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
58.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
38.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
36.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
7.8%
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
28.9%
(/.f64 c (neg.f64 b))
37.1%
(/.f64 b (neg.f64 a))
37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
Compiler

Compiled 220 to 150 computations (31.8% saved)

simplify135.0ms (2%)

Memory
-17.4MiB live, 262.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
cost-diff1344
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
cost-diff0
(*.f64 a #s(literal -2 binary64))
cost-diff0
(*.f64 c (*.f64 a #s(literal -2 binary64)))
cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
cost-diff1536
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(*.f64 #s(literal 2 binary64) a)
cost-diff0
(neg.f64 b)
cost-diff448
(-.f64 (neg.f64 b) (neg.f64 b))
cost-diff1024
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 a)
cost-diff0
(/.f64 b (neg.f64 a))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
Rules
3 296×lower-*.f32
3 282×lower-*.f64
2 480×lower-/.f32
2 470×lower-/.f64
1 836×lower-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030226
055194
1118190
2284188
31178181
44285181
08224181
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (neg.f64 b))
(neg.f64 b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(*.f64 c (*.f64 a #s(literal -2 binary64)))
c
(*.f64 a #s(literal -2 binary64))
a
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(*.f64 b b)
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(/.f64 c (*.f64 b b))
c
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
#s(literal 0 binary64)
(-.f64 (neg.f64 b) (neg.f64 b))
#s(literal 0 binary64)
(neg.f64 b)
b
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
a
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 c (neg.f64 b))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(*.f64 c (*.f64 a #s(literal -2 binary64)))
(*.f64 a (*.f64 c #s(literal -2 binary64)))
c
(*.f64 a #s(literal -2 binary64))
a
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 b b)
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(/.f64 c (*.f64 b b))
c
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize108.0ms (1.6%)

Memory
23.1MiB live, 216.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy95.9%
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
accuracy89.3%
(/.f64 c (*.f64 b b))
accuracy80.8%
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
accuracy76.7%
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 a #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
accuracy95.7%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
accuracy88.5%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
accuracy100.0%
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
accuracy100.0%
(-.f64 (neg.f64 b) (neg.f64 b))
accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
accuracy100.0%
(neg.f64 b)
accuracy100.0%
(/.f64 b (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy100.0%
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
accuracy100.0%
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
accuracy99.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy76.7%
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
Samples
47.0ms188×0valid
18.0ms68×1exit
Compiler

Compiled 237 to 34 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 14.0ms (33.4% of total)
ival-mult: 12.0ms (28.6% of total)
ival-sqrt: 4.0ms (9.5% of total)
adjust: 3.0ms (7.1% of total)
ival-sub: 3.0ms (7.1% of total)
ival-add: 2.0ms (4.8% of total)
ival-neg: 2.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.9%)

Memory
-14.1MiB live, 62.2MiB allocated
Counts
17 → 456
Calls
Call 1
Inputs
#<alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))>
#<alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))>
#<alt (neg.f64 a)>
#<alt (/.f64 b (neg.f64 a))>
#<alt (neg.f64 b)>
#<alt (*.f64 #s(literal 2 binary64) a)>
#<alt (-.f64 (neg.f64 b) (neg.f64 b))>
#<alt (/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))>
#<alt (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))>
#<alt (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)>
#<alt (*.f64 a #s(literal -2 binary64))>
#<alt (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))>
#<alt (/.f64 c (*.f64 b b))>
#<alt (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))>
Outputs
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -4 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))>
Calls

114 calls:

TimeVariablePointExpression
33.0ms
a
@-inf
(sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1)))
2.0ms
a
@0
(/ b (neg a))
2.0ms
b
@-inf
(/ (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))) (* 2 a))
1.0ms
a
@inf
(sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1)))
1.0ms
b
@0
(/ (* c (* a -2)) b)

rewrite81.0ms (1.2%)

Memory
6.6MiB live, 126.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
794×lower-*.f32
780×lower-*.f64
768×lower-fma.f32
764×lower-fma.f64
686×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028135
051123
1197122
01354122
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 280
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(neg.f64 a)
(/.f64 b (neg.f64 a))
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(-.f64 (neg.f64 b) (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(*.f64 a #s(literal -2 binary64))
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(/.f64 c (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b)))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a)
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))
(neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
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(*.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b)))
(*.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 b b))
(fma.f64 a (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 b b))
(fma.f64 b b (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 b (*.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (/.f64 c (*.f64 b b)) (*.f64 b b)) (*.f64 b b))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b b) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b) b (*.f64 b b))
(fma.f64 (*.f64 (*.f64 b b) a) (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(fma.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -4 binary64))) (/.f64 c (*.f64 b b)) (*.f64 b b))
(fma.f64 (*.f64 (*.f64 b b) (/.f64 c (*.f64 b b))) (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) #s(literal 3 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 b (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)))
(*.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b) b)
(neg.f64 (/.f64 c (*.f64 b (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b)))
(/.f64 c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 (neg.f64 c) (*.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 a (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) a #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))

simplify425.0ms (6.2%)

Memory
15.0MiB live, 520.9MiB allocated
Algorithm
egg-herbie
Rules
10 050×lower-fma.f64
10 050×lower-fma.f32
8 134×lower-*.f64
8 134×lower-*.f32
2 290×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05645650
117835615
259375551
082715282
Stop Event
iter limit
node limit
Counts
456 → 450
Calls
Call 1
Inputs
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))))))))
(* (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))))))
(* -2 (* (sqrt (* a c)) (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))))))))
b
(+ b (* -2 (/ (* a c) 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))))))))
(* (sqrt (* a c)) (sqrt -4))
(* 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))))))
(* -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))))))))
(* (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)))))))))
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)
(* -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))))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 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))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -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)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (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)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* 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)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* (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)))))))))
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)
(* -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))))))))
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))))))))
(* (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))))))
(* -2 (* (sqrt (* a c)) (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))))))))
b
(+ b (* -2 (/ (* a c) 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))))))))
(* (sqrt (* a c)) (sqrt -4))
(* 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))))))
(* -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))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))
(* -4 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
1
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
Outputs
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+ 1 (* -4 (/ (* a c) (pow b 2))))
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))

simplify55.0ms (0.8%)

Memory
-9.0MiB live, 108.7MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05534856
15544856
05544856
Stop Event
saturated
saturated
Counts
280 → 0
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b)))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a)
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))
(neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
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(sqrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.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))
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(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))
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(*.f64 b (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)))
(*.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b) b)
(neg.f64 (/.f64 c (*.f64 b (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b)))
(/.f64 c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 (neg.f64 c) (*.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 a (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) a #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
Outputs
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b)))))
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a)
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))
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(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 b) (sqrt.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) (fabs.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b)))
(*.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 b b))
(fma.f64 a (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 b b))
(fma.f64 b b (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 b (*.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (/.f64 c (*.f64 b b)) (*.f64 b b)) (*.f64 b b))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 b b) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(fma.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b) b (*.f64 b b))
(fma.f64 (*.f64 (*.f64 b b) a) (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(fma.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -4 binary64))) (/.f64 c (*.f64 b b)) (*.f64 b b))
(fma.f64 (*.f64 (*.f64 b b) (/.f64 c (*.f64 b b))) (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) #s(literal 3 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 b b))) (*.f64 b b)) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 b (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)))
(*.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(*.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b) b)
(neg.f64 (/.f64 c (*.f64 b (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b)))
(/.f64 c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 (neg.f64 c) (*.f64 b (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 a (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) a #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))))

eval115.0ms (1.7%)

Memory
14.6MiB live, 251.6MiB allocated
Compiler

Compiled 18 603 to 588 computations (96.8% saved)

prune20.0ms (0.3%)

Memory
10.0MiB live, 48.8MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 04221 044
Fresh123
Picked145
Done000
Total1 04481 052
Accuracy
90.5%
Counts
1 052 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
58.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
38.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
36.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
28.9%
(/.f64 c (neg.f64 b))
37.1%
(/.f64 b (neg.f64 a))
37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
7.8%
#s(literal 0 binary64)
Compiler

Compiled 102 to 71 computations (30.4% saved)

simplify102.0ms (1.5%)

Memory
-5.4MiB live, 71.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
cost-diff0
(neg.f64 b)
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 c (neg.f64 b))
cost-diff0
(/.f64 b a)
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
Rules
1 120×lower-fma.f64
1 120×lower-fma.f32
768×lower-*.f32
762×lower-*.f64
452×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01771
02871
14671
29871
320870
435470
566570
6149470
7204470
8229470
9248370
10256170
11259570
12260570
13260570
14261170
0261170
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(literal 0 binary64)
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
c
b
(/.f64 b a)
a
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize91.0ms (1.3%)

Memory
-13.5MiB live, 68.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 b)
accuracy100.0%
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy99.9%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
accuracy82.5%
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy100.0%
(/.f64 c (neg.f64 b))
accuracy100.0%
(neg.f64 b)
accuracy100.0%
(/.f64 c b)
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 (/.f64 c b) (/.f64 b a))
Samples
37.0ms80×0invalid
36.0ms176×0valid
Compiler

Compiled 73 to 19 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 29.0ms (69.1% of total)
ival-div: 7.0ms (16.7% of total)
ival-sub: 2.0ms (4.8% of total)
ival-sqrt: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
-9.2MiB live, 27.4MiB allocated
Counts
8 → 216
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 c b) (/.f64 b a))>
#<alt (/.f64 b a)>
#<alt (/.f64 c b)>
#<alt (neg.f64 b)>
#<alt (/.f64 c (neg.f64 b))>
#<alt (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))>
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))>
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))>
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))>
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
a
@0
(/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a))
1.0ms
a
@0
(sqrt (* a (* c -4)))
1.0ms
c
@0
(/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a))
1.0ms
b
@-inf
(/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a))
0.0ms
b
@0
(/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a))

rewrite307.0ms (4.5%)

Memory
32.9MiB live, 545.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 082×lower-*.f32
5 076×lower-*.f64
4 932×lower-/.f32
4 924×lower-/.f64
4 376×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01647
02747
110747
287347
0832247
Stop Event
iter limit
node limit
iter limit
Counts
8 → 469
Calls
Call 1
Inputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 b a)
(/.f64 c b)
(neg.f64 b)
(/.f64 c (neg.f64 b))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Outputs
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))))
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a))))
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a))))
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a)))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 (/.f64 b c) (neg.f64 b)) (*.f64 (/.f64 b c) (neg.f64 a))))
(-.f64 (/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 (/.f64 b c) #s(literal 1 binary64)) (*.f64 (/.f64 b c) (/.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a)))
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 c b))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (/.f64 c b))
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 b (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)) (/.f64 c b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)) (/.f64 b (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b))
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a)))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))
(/.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 a)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) (neg.f64 a)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) b))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))
(/.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (*.f64 b (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))

simplify323.0ms (4.7%)

Memory
-51.5MiB live, 343.2MiB allocated
Algorithm
egg-herbie
Rules
7 128×lower-fma.f64
7 128×lower-fma.f32
4 202×lower-*.f64
4 202×lower-*.f32
1 446×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111534
13311531
29791531
328701486
463371486
082781434
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* -1/2 (/ b a))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1/2 (/ b a))
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(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 b)
(neg.f64 b)
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) a) b))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) a) b))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) a) b))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) b)
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) b)
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) b)
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(fma.f64 c (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(fma.f64 c (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(fma.f64 c (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))

simplify110.0ms (1.6%)

Memory
8.4MiB live, 166.0MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012829675
112839675
012839675
Stop Event
saturated
saturated
Counts
469 → 0
Calls
Call 1
Inputs
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))))
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a))))
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a))))
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a)))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 (/.f64 b c) (neg.f64 b)) (*.f64 (/.f64 b c) (neg.f64 a))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))
(/.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (*.f64 b (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))
Outputs
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))))
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a))))
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a))))
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a)))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 (/.f64 b c) (neg.f64 b)) (*.f64 (/.f64 b c) (neg.f64 a))))
(-.f64 (/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 (/.f64 b c) #s(literal 1 binary64)) (*.f64 (/.f64 b c) (/.f64 a b))))
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a)))
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 c b))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (/.f64 c b))
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 b (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)) (/.f64 c b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)) (/.f64 b (neg.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b))
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a)))
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a)))
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))
(/.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 a)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) (neg.f64 a)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) b))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (+.f64 (/.f64 c b) (/.f64 b a))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))
(/.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) b) a)
(/.f64 (fma.f64 c (neg.f64 a) (*.f64 b b)) (*.f64 b (neg.f64 a)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))

eval43.0ms (0.6%)

Memory
2.7MiB live, 72.6MiB allocated
Compiler

Compiled 4 239 to 80 computations (98.1% saved)

prune6.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4551456
Fresh000
Picked044
Done044
Total4559464
Accuracy
90.5%
Counts
464 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
58.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
38.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
36.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
28.9%
(/.f64 c (neg.f64 b))
7.3%
(/.f64 c b)
37.1%
(/.f64 b (neg.f64 a))
37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
7.8%
#s(literal 0 binary64)
Compiler

Compiled 108 to 75 computations (30.6% saved)

simplify4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 c b)
Rules
lift-/.f64
lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
045
045
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 c b)
c
b
Outputs
(/.f64 c b)
c
b

localize13.0ms (0.2%)

Memory
-11.7MiB live, 26.9MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 c b)
Samples
9.0ms256×0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 3.0ms (87% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 c b)>
Outputs
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
c
@0
(/ c b)
0.0ms
c
@inf
(/ c b)
0.0ms
c
@-inf
(/ c b)
0.0ms
b
@-inf
(/ c b)
0.0ms
b
@inf
(/ c b)

rewrite60.0ms (0.9%)

Memory
-6.7MiB live, 78.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
520×lower-*.f64
520×lower-*.f32
470×lower-/.f32
468×lower-/.f64
134×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
043
1123
2473
32163
012043
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
1 → 58
Calls
Call 1
Inputs
(/.f64 c b)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 c b))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 c b))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b c))))
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 c (neg.f64 b)))
(/.f64 c b)
(/.f64 (/.f64 c b) #s(literal 1 binary64))
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c)))
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (neg.f64 b) (*.f64 c c)))
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) c)) (*.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) (neg.f64 c))) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) (neg.f64 b)) (*.f64 (neg.f64 b) (/.f64 b (neg.f64 c))))
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (*.f64 c c) b))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c b))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 b) (*.f64 c c)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c))) (*.f64 (neg.f64 b) c))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 c c)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c))) (*.f64 b c))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c (neg.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)) (*.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)))) (/.f64 c (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 c c))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c c))) c)
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) b)) (*.f64 c c))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal -1 binary64) b)) c)
(pow.f64 (/.f64 c b) #s(literal 1 binary64))
(pow.f64 (/.f64 b c) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 b c))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c b) #s(literal 1 binary64))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 c))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b)))) (*.f64 b b))
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) b)

simplify3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Rules
lower-/.f32
lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0372
0372
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
Outputs
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)

simplify10.0ms (0.1%)

Memory
-18.1MiB live, 20.5MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135544
1136544
0136544
Stop Event
saturated
saturated
Counts
58 → 0
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (/.f64 c b))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 c b))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b c))))
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 c (neg.f64 b)))
(/.f64 c b)
(/.f64 (/.f64 c b) #s(literal 1 binary64))
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c)))
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (neg.f64 b) (*.f64 c c)))
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) c)) (*.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) (neg.f64 c))) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) (neg.f64 b)) (*.f64 (neg.f64 b) (/.f64 b (neg.f64 c))))
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (*.f64 c c) b))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c b))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 b) (*.f64 c c)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c))) (*.f64 (neg.f64 b) c))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 c c)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c))) (*.f64 b c))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c (neg.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)) (*.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)))) (/.f64 c (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 c c))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c c))) c)
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) b)) (*.f64 c c))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal -1 binary64) b)) c)
(pow.f64 (/.f64 c b) #s(literal 1 binary64))
(pow.f64 (/.f64 b c) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 b c))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c b) #s(literal 1 binary64))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 c))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b)))) (*.f64 b b))
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) b)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 c b))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 c b))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b c))))
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b)))
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 c b))
(neg.f64 (/.f64 c (neg.f64 b)))
(/.f64 c b)
(/.f64 (/.f64 c b) #s(literal 1 binary64))
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c)))
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) c))
(/.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (neg.f64 b) (*.f64 c c)))
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) c)) (*.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) (neg.f64 c))) (*.f64 (neg.f64 b) b))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) (neg.f64 b)) (*.f64 (neg.f64 b) (/.f64 b (neg.f64 c))))
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (*.f64 c c) b))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c b))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 b) (*.f64 c c)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c))) (*.f64 (neg.f64 b) c))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 c c)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c))) (*.f64 b c))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c (neg.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)) (*.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)))) (/.f64 c (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 c c))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c c))) c)
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) b)) (*.f64 c c))
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal -1 binary64) b)) c)
(pow.f64 (/.f64 c b) #s(literal 1 binary64))
(pow.f64 (/.f64 b c) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 b c))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c b) #s(literal 1 binary64))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 c))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b)))) (*.f64 b b))
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) b)

eval4.0ms (0.1%)

Memory
12.1MiB live, 12.0MiB allocated
Compiler

Compiled 147 to 4 computations (97.3% saved)

prune5.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done088
Total48957
Accuracy
90.5%
Counts
57 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
58.6%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
38.8%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
36.5%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
28.9%
(/.f64 c (neg.f64 b))
7.3%
(/.f64 c b)
37.1%
(/.f64 b (neg.f64 a))
37.0%
(-.f64 (/.f64 c b) (/.f64 b a))
7.8%
#s(literal 0 binary64)
Compiler

Compiled 231 to 125 computations (45.9% saved)

regimes19.0ms (0.3%)

Memory
2.7MiB live, 41.1MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

5.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
4.0ms
b
4.0ms
c
4.0ms
a
Results
AccuracySegmentsBranch
58.6%1a
85.7%3b
58.6%1c
80.5%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory
-27.3MiB live, 13.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
82.3%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

2 calls:

3.0ms
b
3.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
53.5%3(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
63.7%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 c (neg.f64 b))
(/.f64 b (neg.f64 a))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
63.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-21.3MiB live, 17.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
(/.f64 b (neg.f64 a))
Outputs
#s(literal 0 binary64)
(/.f64 b (neg.f64 a))
Calls

4 calls:

3.0ms
a
2.0ms
c
2.0ms
b
2.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
37.1%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
37.1%1a
37.1%1c
42.1%2b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Accuracy

Total -0.6b remaining (-1.1%)

Threshold costs -0.6b (-1.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 c b)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

2.0ms
c
2.0ms
b
2.0ms
a
1.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
7.8%1a
7.8%1(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
7.8%1c
7.8%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch48.0ms (0.7%)

Memory
4.1MiB live, 81.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.1181431223103183e+105
2.0865276939137555e+108
28.0ms
-5.572789606325681e-73
-9.346077657757816e-83
Samples
18.0ms231×0valid
5.0ms36×1valid
5.0ms21×2valid
3.0ms45×0invalid
Compiler

Compiled 551 to 388 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32.4% of total)
ival-sub: 4.0ms (18.5% of total)
ival-div: 3.0ms (13.9% of total)
ival-sqrt: 3.0ms (13.9% of total)
ival-neg: 2.0ms (9.3% of total)
adjust: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.5%)

Memory
-7.2MiB live, 44.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
3.0064195606214783e-44
6.2466896233009195e-34
1.0ms
-5.572789606325681e-73
-9.346077657757816e-83
Samples
18.0ms160×0valid
3.0ms36×0invalid
Compiler

Compiled 553 to 410 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.3% of total)
ival-sub: 2.0ms (12.9% of total)
ival-div: 1.0ms (6.4% of total)
ival-sqrt: 1.0ms (6.4% of total)
ival-neg: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Memory
-21.3MiB live, 55.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-1.7262930120339467e-305
3.6797269943575574e-299
Samples
12.0ms160×0valid
7.0ms81×0invalid
Compiler

Compiled 213 to 150 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.6% of total)
ival-sub: 2.0ms (15.5% of total)
ival-div: 2.0ms (15.5% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-neg: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.7262930120339467e-305
3.6797269943575574e-299
Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch25.0ms (0.4%)

Memory
1.1MiB live, 38.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.6797269943575574e-299
8.190181144456296e-296
Samples
9.0ms128×0valid
4.0ms55×0invalid
Compiler

Compiled 127 to 108 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45% of total)
ival-sub: 2.0ms (22.5% of total)
ival-div: 1.0ms (11.3% of total)
ival-sqrt: 1.0ms (11.3% of total)
ival-neg: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Rules
36×+-commutative_binary64
32×*-commutative_binary64
32×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041104
157104
279104
3105104
4122104
5136104
6142104
7145104
8146104
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal 6974566143351135/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal 6974566143351135/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
#s(literal 0 binary64)

soundness445.0ms (6.5%)

Memory
8.5MiB live, 395.3MiB allocated
Rules
10 050×lower-fma.f64
10 050×lower-fma.f32
9 868×lower-fma.f64
9 868×lower-fma.f32
8 134×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453114
117183085
257543046
081162886
05645650
117835615
259375551
082715282
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 265 to 151 computations (43% saved)

preprocess125.0ms (1.8%)

Memory
-16.5MiB live, 145.4MiB allocated
Compiler

Compiled 344 to 152 computations (55.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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