Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, G

Time bar (total: 10.6s)

analyze242.0ms (2.3%)

Memory
8.9MiB live, 323.3MiB allocated
Algorithm
1×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
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.7%6.2%87.4%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
20.7%18.7%71.8%0.1%0%9.4%0%9
34.5%29.6%56.2%0.1%0%14%0%10
34.5%29.6%56.2%0.1%0%14%0%11
50.5%42.1%41.3%0.1%0%16.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.1s (20%)

Memory
-203.6MiB live, 2 610.8MiB allocated
Samples
858.0ms2 274×1valid
697.0ms5 982×0valid
79.0ms920×0invalid
2.0ms16×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 608.0ms (47.2% of total)
ival-div: 190.0ms (14.8% of total)
ival-add: 188.0ms (14.6% of total)
ival-exp: 157.0ms (12.2% of total)
ival-mult: 102.0ms (7.9% of total)
adjust: 33.0ms (2.6% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess223.0ms (2.1%)

Memory
18.9MiB live, 56.1MiB allocated
Algorithm
2×egg-herbie
Rules
1 768×div-sub
886×sub-neg
620×distribute-rgt-in
612×distribute-lft-in
598×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052143
1108115
2226113
3485113
41092113
52281111
63261111
74509111
85349111
96067111
106459111
116686111
126974111
137269111
147517111
157842111
167942111
177944111
187944111
197944111
01013
11511
21811
31811
01811
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
Call 2
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)))
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))))
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)))
(+ y (/ (exp (* x (log (/ x (+ z x))))) x))
(+ z (/ (exp (* y (log (/ y (+ x y))))) y))
(+ x (/ (exp (* z (log (/ z (+ y z))))) z))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))
(- (/ (pow (/ y (+ y z)) y) y) x)
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))
(- x (/ (pow (/ (- y z) y) y) y))
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))
(+ x (/ (pow (/ y (- y z)) y) y))
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)))
(- x (/ (pow (/ y (+ y z)) y) y))
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))))
(- (/ (pow (/ (- y z) y) y) y) x)
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)))
(- (neg x) (/ (pow (/ y (- y z)) y) y))
(+ y (/ (exp (* x (log (/ x (+ z x))))) x))
(+ y (/ (pow (/ x (+ x z)) x) x))
(+ z (/ (exp (* y (log (/ y (+ x y))))) y))
(+ z (/ (pow (/ y (+ x y)) y) y))
(+ x (/ (exp (* z (log (/ z (+ y z))))) z))
(+ x (/ (pow (/ z (+ y z)) z) z))

explain293.0ms (2.8%)

Memory
5.2MiB live, 631.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16241(2.4874970316488233e-262 -3.380114356558865e+253 1.1733915959209928e-264)2(6.1151561169854765e+85 -1.0238228554362511e-207 -4.2819902955702205e+108)(log.f64 (/.f64 y (+.f64 z y)))
460-5(2.165717745747426e-48 7.671626769377381e+304 5.63556052554673e-17)(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
00-0-(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
00-0-z
00-0-(/.f64 y (+.f64 z y))
00-0-(+.f64 z y)
00-0-(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
00-0-(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 y (+.f64 z y)))sensitivity1840
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue150
↳(log.f64 (/.f64 y (+.f64 z y)))underflow41
↳(/.f64 y (+.f64 z y))underflow17
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u150
Confusion
Predicted +Predicted -
+351
-16456
Precision
0.17587939698492464
Recall
0.9722222222222222
Confusion?
Predicted +Predicted MaybePredicted -
+3501
-164056
Precision?
0.17587939698492464
Recall?
0.9722222222222222
Freqs
test
numberfreq
057
1184
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
88.0ms296×1valid
42.0ms56×2valid
17.0ms160×0valid
Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-log: 68.0ms (57.5% of total)
ival-div: 15.0ms (12.7% of total)
ival-exp: 14.0ms (11.8% of total)
ival-add: 9.0ms (7.6% of total)
adjust: 6.0ms (5.1% of total)
ival-mult: 6.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.9%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify6.0ms (0.1%)

Memory
-28.7MiB live, 10.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
✓cost-diff0
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
✓cost-diff6656
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×exp-lowering-exp.f32
6×exp-lowering-exp.f64
4×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
11552
21852
31852
01852
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
x
(/ (exp (* y (log (/ y (+ z y))))) y)
(exp (* y (log (/ y (+ z y)))))
(* y (log (/ y (+ z y))))
y
(log (/ y (+ z y)))
(/ y (+ z y))
(+ z y)
z
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(/ (exp (* y (log (/ y (+ z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(exp (* y (log (/ y (+ z y)))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(* y (log (/ y (+ z y))))
(*.f64 y (log.f64 (/.f64 y (+.f64 y z))))
y
(log (/ y (+ z y)))
(log.f64 (/.f64 y (+.f64 y z)))
(/ y (+ z y))
(/.f64 y (+.f64 y z))
(+ z y)
(+.f64 y z)
z

localize85.0ms (0.8%)

Memory
1.5MiB live, 226.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
✓accuracy100.0%
(/.f64 y (+.f64 z y))
✓accuracy84.0%
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓accuracy43.4%
(log.f64 (/.f64 y (+.f64 z y)))
Samples
51.0ms148×1valid
13.0ms28×2valid
7.0ms80×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-log: 24.0ms (50.6% of total)
ival-div: 7.0ms (14.8% of total)
ival-exp: 5.0ms (10.5% of total)
ival-add: 5.0ms (10.5% of total)
adjust: 4.0ms (8.4% of total)
ival-mult: 3.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-13.1MiB live, 66.4MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (exp (* y (log (/ y (+ z y)))))>
#<alt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))>
#<alt (/ (exp (* y (log (/ y (+ z y))))) y)>
#<alt (* y (log (/ y (+ z y))))>
#<alt (log (/ y (+ z y)))>
#<alt (/ y (+ z y))>
Outputs
#<alt 1>
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))>
#<alt (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ z y)) 1))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (* y (+ (log (* -1 y)) (log (/ -1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))>
#<alt (+ (log (* -1 y)) (log (/ -1 z)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))>
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))>
Calls

39 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
3.0ms
z
@0
(exp (* y (log (/ y (+ z y)))))
2.0ms
y
@inf
(exp (* y (log (/ y (+ z y)))))
2.0ms
y
@inf
(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms
y
@-inf
(exp (* y (log (/ y (+ z y)))))

rewrite264.0ms (2.5%)

Memory
28.6MiB live, 464.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 390×*-lowering-*.f32
3 390×*-lowering-*.f64
3 144×accelerator-lowering-fma.f32
3 144×accelerator-lowering-fma.f64
2 802×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
15746
245146
3644446
0801446
Stop Event
1×iter limit
1×node limit
Counts
6 → 332
Calls
Call 1
Inputs
(exp (* y (log (/ y (+ z y)))))
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(/ (exp (* y (log (/ y (+ z y))))) y)
(* y (log (/ y (+ z y))))
(log (/ y (+ z y)))
(/ y (+ z y))
Outputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))) (exp.f64 (*.f64 y (log.f64 y)))))
(/.f64 (exp.f64 (*.f64 y (log.f64 y))) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z))))
(/.f64 (*.f64 (exp.f64 (*.f64 y (log.f64 y))) #s(literal 1 binary64)) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 y)))) (exp.f64 (*.f64 y (log.f64 (+.f64 y z)))))
(/.f64 (neg.f64 (exp.f64 (*.f64 y (log.f64 y)))) (neg.f64 (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z))))
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 y z) y) (neg.f64 y))
(pow.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)))
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 y z)))))
(*.f64 (exp.f64 (*.f64 y (log.f64 y))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (log.f64 (+.f64 y z))))))
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) y) (pow.f64 y y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 z y))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64))))) (exp.f64 (*.f64 y (*.f64 (log.f64 (/.f64 y (+.f64 y z))) #s(literal 1/2 binary64)))))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y y)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (neg.f64 y)) x)
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(*.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 (neg.f64 z) y))
(*.f64 (/.f64 y (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z))))
(*.f64 (/.f64 y (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y)))) (+.f64 (neg.f64 z) y))
(*.f64 (/.f64 y (*.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z))

simplify370.0ms (3.5%)

Memory
-28.2MiB live, 608.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 370×accelerator-lowering-fma.f32
9 370×accelerator-lowering-fma.f64
5 308×*-lowering-*.f32
5 308×*-lowering-*.f64
3 480×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06034108
118143482
260863379
082183225
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(exp (* -1 z))
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Outputs
1
#s(literal 1 binary64)
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(fma.f64 y (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64))
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(exp (* -1 z))
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(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(*.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))
(fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z z)))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))) (fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z z))))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (*.f64 y (/.f64 y (neg.f64 z))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y)) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(-.f64 (*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))) (/.f64 (-.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y y)))) z)) z))
(+ (log y) (log (/ 1 z)))
(-.f64 (log.f64 y) (log.f64 z))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 z)) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 z))) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 y (*.f64 y y))))) z) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) z) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 z z))) y)) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) y)) (neg.f64 y))) y)) (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(*.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(*.f64 z (fma.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 z (*.f64 (*.f64 y (*.f64 y y)) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(+ (log y) (log (/ 1 z)))
(-.f64 (log.f64 y) (log.f64 z))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 z z)) (+.f64 (/.f64 y z) (log.f64 z))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))
(+.f64 (-.f64 (log.f64 y) (log.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))) (/.f64 y (neg.f64 z)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+.f64 (neg.f64 (log.f64 (neg.f64 z))) (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) y) z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
(-.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)) z))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(-.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) y))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 y (-.f64 (*.f64 y (/.f64 y (*.f64 z (*.f64 z z)))) (/.f64 y (*.f64 z z))) (/.f64 y z))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z (neg.f64 z)) y) (*.f64 z z)) y) z) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z (neg.f64 z)) y) (*.f64 z z)) y) z) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/.f64 (-.f64 y (/.f64 (*.f64 y y) z)) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/.f64 (+.f64 (-.f64 y (/.f64 (*.f64 (*.f64 y (*.f64 y y)) y) (*.f64 z (*.f64 z z)))) (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (*.f64 y (*.f64 y y)) z)) z)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) y) z) (*.f64 y (*.f64 y y))) z) (*.f64 y y)) z) y) z))

eval64.0ms (0.6%)

Memory
14.4MiB live, 127.3MiB allocated
Compiler

Compiled 13 511 to 2 246 computations (83.4% saved)

prune112.0ms (1.1%)

Memory
26.9MiB live, 142.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New47513488
Fresh000
Picked101
Done000
Total47613489
Accuracy
100.0%
Counts
489 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
▶15.8%
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
45.6%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
46.0%
(/.f64 #s(literal 1 binary64) y)
▶71.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
▶87.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
▶67.7%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
71.5%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
71.0%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
85.4%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
38.4%
(+.f64 x (*.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64))))
53.9%
(*.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
▶43.8%
x
Compiler

Compiled 430 to 258 computations (40% saved)

simplify320.0ms (3%)

Memory
-21.6MiB live, 577.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x (log.f64 z))
✓cost-diff0
(+.f64 (-.f64 x (log.f64 z)) (log.f64 y))
✓cost-diff0
(fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
✓cost-diff0
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓cost-diff128
(neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))))
✓cost-diff128
(fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))
✓cost-diff384
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(-.f64 x (/.f64 z y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff704
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Rules
13 062×accelerator-lowering-fma.f32
13 062×accelerator-lowering-fma.f64
3 240×+-lowering-+.f64
3 240×+-lowering-+.f32
2 108×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035280
191273
2260273
3865273
42439273
55568271
08154250
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ 1 y) x)
(/ 1 y)
1
y
x
x
(+ (/ 1 y) (- x (/ z y)))
(/ 1 y)
1
y
(- x (/ z y))
x
(/ z y)
z
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
x
(/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)
(+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1)
z
(+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)
(+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
(/ 1/2 y)
1/2
y
(+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)
(neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))
(+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))
1/6
(+ (/ 1/2 y) (/ 1/3 (* y y)))
(/ 1/3 (* y y))
1/3
(* y y)
-1
1
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)
(+ (* y (+ (- x (log z)) (log y))) 1)
y
(+ (- x (log z)) (log y))
(- x (log z))
x
(log z)
z
(log y)
1
Outputs
(+ (/ 1 y) x)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
x
(+ (/ 1 y) (- x (/ z y)))
(-.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(- x (/ z y))
(-.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
x
(/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1)
(fma.f64 z (fma.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)
(fma.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1/2 binary64)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)
(fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ (/ 1/2 y) (/ 1/3 (* y y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(/ 1/3 (* y y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
1/3
#s(literal 1/3 binary64)
(* y y)
(*.f64 y y)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)
(/.f64 (fma.f64 y (-.f64 (+.f64 x (log.f64 y)) (log.f64 z)) #s(literal 1 binary64)) y)
(+ (* y (+ (- x (log z)) (log y))) 1)
(fma.f64 y (-.f64 (+.f64 x (log.f64 y)) (log.f64 z)) #s(literal 1 binary64))
y
(+ (- x (log z)) (log y))
(-.f64 (+.f64 x (log.f64 y)) (log.f64 z))
(- x (log z))
(-.f64 x (log.f64 z))
x
(log z)
(log.f64 z)
z
(log y)
(log.f64 y)
1
#s(literal 1 binary64)

localize116.0ms (1.1%)

Memory
36.7MiB live, 226.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x (log.f64 z))
✓accuracy100.0%
(fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64))
✓accuracy99.9%
(+.f64 (-.f64 x (log.f64 z)) (log.f64 y))
✓accuracy98.1%
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
✓accuracy99.9%
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
✓accuracy99.6%
(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy97.8%
(fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 x (/.f64 z y))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Samples
52.0ms193×0invalid
16.0ms63×0valid
Compiler

Compiled 267 to 37 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 12.0ms (25.4% of total)
ival-add: 11.0ms (23.3% of total)
ival-mult: 8.0ms (17% of total)
const: 8.0ms (17% of total)
ival-log: 4.0ms (8.5% of total)
ival-sub: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series180.0ms (1.7%)

Memory
-16.0MiB live, 344.3MiB allocated
Counts
16 → 420
Calls
Call 1
Inputs
#<alt (+ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (- x (/ z y)))>
#<alt (- x (/ z y))>
#<alt (/ z y)>
#<alt (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))>
#<alt (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)>
#<alt (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))>
#<alt (+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))>
#<alt (/ (+ (* y (+ (- x (log z)) (log y))) 1) y)>
#<alt (+ (* y (+ (- x (log z)) (log y))) 1)>
#<alt (+ (- x (log z)) (log y))>
#<alt (- x (log z))>
#<alt (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)>
#<alt (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)>
#<alt (/ 1/3 (* y y))>
Outputs
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (- (/ 1 y) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* -1/3 (/ z (pow y 2)))>
#<alt (/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))>
#<alt (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))>
#<alt (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (+ 1/2 (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* 1/2 (/ 1 z))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* 1/2 (/ 1 z))))>
#<alt (* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* 1/2 (/ 1 z))))>
#<alt (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))>
#<alt (* -1/3 (/ z (pow y 2)))>
#<alt (/ (+ (* -1/2 (* y z)) (* -1/3 z)) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2))>
#<alt (/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z))))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z))))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* 1/3 (/ z y)) (* 1/2 z)) y)) (* -1/6 z)))>
#<alt (+ 1/2 (+ (* -1 (/ (+ (* 1/3 (/ z y)) (* 1/2 z)) y)) (* -1/6 z)))>
#<alt (/ -1/3 (pow y 2))>
#<alt (/ (- (* -1/2 y) 1/3) (pow y 2))>
#<alt (/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))>
#<alt (/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/2 (/ 1 y))))>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)>
#<alt (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)) y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))))) (/ 1 (* y (pow z 2)))))>
#<alt (* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))>
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (+ (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) (pow y 2)))))>
#<alt (+ x (+ (* -1/3 (/ (pow z 3) (pow y 3))) (+ (/ 1 y) (+ (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) (pow y 2))))))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (- (+ x (* -1 (log (/ 1 y)))) (log z))>
#<alt (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z))>
#<alt (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z))>
#<alt (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z))>
#<alt (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))>
#<alt (- (+ x (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))) (log z))>
#<alt (- (+ x (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))) (log z))>
#<alt (- (+ x (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ 1 y)))) (log z))>
#<alt (/ (+ 1 (* y (- (log y) (log z)))) y)>
#<alt (+ x (+ (- (log y) (log z)) (/ 1 y)))>
#<alt (+ x (+ (- (log y) (log z)) (/ 1 y)))>
#<alt (+ x (+ (- (log y) (log z)) (/ 1 y)))>
#<alt x>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x)))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x)))>
#<alt (* x (- (+ 1 (+ (/ 1 (* x y)) (/ (log y) x))) (/ (log z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (log y) (/ 1 y)) (log z)) x)) 1)))>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (log z)))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z))))))) y)>
#<alt 1>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (* y (- (+ x (* -1 (log (/ 1 y)))) (log z)))>
#<alt (* y (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z)))>
#<alt (* y (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z)))>
#<alt (* y (- (+ x (+ (* -1 (log (/ 1 y))) (/ 1 y))) (log z)))>
#<alt (* y (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z)))>
#<alt (* -1 (* y (- (* -1 (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))) (/ 1 y))))>
#<alt (+ 1 (* y (- (log y) (log z))))>
#<alt (+ 1 (+ (* x y) (* y (- (log y) (log z)))))>
#<alt (+ 1 (+ (* x y) (* y (- (log y) (log z)))))>
#<alt (+ 1 (+ (* x y) (* y (- (log y) (log z)))))>
#<alt (* x y)>
#<alt (* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x))))>
#<alt (* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x))))>
#<alt (* x (+ y (+ (/ 1 x) (/ (* y (- (log y) (log z))) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* y (- (log y) (log z)))) x)))))>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (+ 1 (* y (- (+ x (log y)) (log z))))>
#<alt (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (* -1 (log (/ 1 z))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ 1 (* y (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (- (log y) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt x>
#<alt (* x (- (+ 1 (/ (log y) x)) (/ (log z) x)))>
#<alt (* x (- (+ 1 (/ (log y) x)) (/ (log z) x)))>
#<alt (* x (- (+ 1 (/ (log y) x)) (/ (log z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (log y) (log z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (log y) (log z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (log y) (log z)) x)) 1)))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (* -1 (log (/ 1 z))))>
#<alt (- (+ x (log y)) (* -1 (log (/ 1 z))))>
#<alt (- (+ x (log y)) (* -1 (log (/ 1 z))))>
#<alt (- (+ x (log y)) (* -1 (log (/ 1 z))))>
#<alt (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- (+ x (log y)) (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (log y)) (log z))>
#<alt (- (+ x (* -1 (log (/ 1 y)))) (log z))>
#<alt (- (+ x (* -1 (log (/ 1 y)))) (log z))>
#<alt (- (+ x (* -1 (log (/ 1 y)))) (log z))>
#<alt (- (+ x (* -1 (log (/ 1 y)))) (log z))>
#<alt (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))>
#<alt (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))>
#<alt (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))>
#<alt (- (+ x (+ (log -1) (* -1 (log (/ -1 y))))) (log z))>
#<alt (* -1 (log z))>
#<alt (- x (log z))>
#<alt (- x (log z))>
#<alt (- x (log z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log z) x))))>
#<alt (* x (+ 1 (* -1 (/ (log z) x))))>
#<alt (* x (+ 1 (* -1 (/ (log z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log z) x) 1)))>
#<alt (* -1 (* x (- (/ (log z) x) 1)))>
#<alt (* -1 (* x (- (/ (log z) x) 1)))>
#<alt (- x (log z))>
#<alt (- x (log z))>
#<alt (- x (log z))>
#<alt (- x (log z))>
#<alt (- x (* -1 (log (/ 1 z))))>
#<alt (- x (* -1 (log (/ 1 z))))>
#<alt (- x (* -1 (log (/ 1 z))))>
#<alt (- x (* -1 (log (/ 1 z))))>
#<alt (- x (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- x (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- x (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (- x (+ (log -1) (* -1 (log (/ -1 z)))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2)))))>
#<alt (* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))>
#<alt (* -1/3 (/ (pow z 3) (pow y 3)))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)>
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))>
#<alt -1>
#<alt (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)>
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))>
#<alt (* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))>
#<alt (* -1/3 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))>
#<alt (/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)>
#<alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)>
#<alt (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
#<alt (/ 1/3 (pow y 2))>
Calls

105 calls:

TimeVariablePointExpression
44.0ms
z
@0
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)
28.0ms
z
@-inf
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)
16.0ms
y
@0
(+ (- x (log z)) (log y))
14.0ms
y
@-inf
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)
12.0ms
y
@0
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)

rewrite395.0ms (3.7%)

Memory
-1.5MiB live, 635.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 914×/-lowering-/.f32
4 914×/-lowering-/.f64
3 204×*-lowering-*.f32
3 204×*-lowering-*.f64
2 480×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035199
1283190
23214188
08738170
Stop Event
1×iter limit
1×node limit
Counts
16 → 565
Calls
Call 1
Inputs
(+ (/ 1 y) x)
(/ 1 y)
(+ (/ 1 y) (- x (/ z y)))
(- x (/ z y))
(/ z y)
(+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
(+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)
(neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))
(+ x (/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y))
(/ (+ (* y (+ (- x (log z)) (log y))) 1) y)
(+ (* y (+ (- x (log z)) (log y))) 1)
(+ (- x (log z)) (log y))
(- x (log z))
(/ (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) y)
(+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)
(/ 1/3 (* y y))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 x (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))
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(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) y))

simplify663.0ms (6.3%)

Memory
35.6MiB live, 498.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 384×accelerator-lowering-fma.f32
11 384×accelerator-lowering-fma.f64
4 600×*-lowering-*.f32
4 600×*-lowering-*.f64
4 038×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04705371
114495165
247144919
081594632
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
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(- x (+ (log -1) (* -1 (log (/ -1 z)))))
(- x (+ (log -1) (* -1 (log (/ -1 z)))))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))
(* (pow z 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))) (/ 1 (* y (pow z 2)))))
(* (pow z 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) y)) (+ (/ 1/2 (* y z)) (+ (/ 1/2 (* (pow y 2) z)) (/ 1 (* y (pow z 3)))))) (/ 1 (* y (pow z 2)))))
(* -1 (/ (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (/ 1/3 (pow y 3)) (+ (/ 1/2 (pow y 2)) (* 1/6 (/ 1 y)))))))
(* -1/3 (/ (pow z 3) (pow y 3)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* -1 (/ (+ (* -1 (* (pow z 2) (- (* 1/2 z) 1/2))) (* -1/3 (/ (pow z 3) y))) y))) y))
-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
(/ 1/3 (pow y 2))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) z) y)
x
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (/ 1 y) (/ z y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)))))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (/ z y))
(neg.f64 (/.f64 z y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x z)) (neg.f64 (/.f64 z y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x z)) (neg.f64 (/.f64 z y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x z)) (neg.f64 (/.f64 z y)))
(* -1 (/ z y))
(neg.f64 (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(-.f64 (*.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(-.f64 (*.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(-.f64 (*.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) z)) (/.f64 z y))
(* -1 (/ z y))
(neg.f64 (/.f64 z y))
(- x (/ z y))
(-.f64 x (/.f64 z y))
(- x (/ z y))
(-.f64 x (/.f64 z y))
(- x (/ z y))
(-.f64 x (/.f64 z y))
x
(* x (+ 1 (* -1 (/ z (* x y)))))
(fma.f64 x (/.f64 z (*.f64 y (neg.f64 x))) x)
(* x (+ 1 (* -1 (/ z (* x y)))))
(fma.f64 x (/.f64 z (*.f64 y (neg.f64 x))) x)
(* x (+ 1 (* -1 (/ z (* x y)))))
(fma.f64 x (/.f64 z (*.f64 y (neg.f64 x))) x)
x
(* -1 (* x (- (/ z (* x y)) 1)))
(fma.f64 x (/.f64 z (*.f64 y (neg.f64 x))) x)
(* -1 (* x (- (/ z (* x y)) 1)))
(fma.f64 x (/.f64 z (*.f64 y (neg.f64 x))) x)
(* -1 (* x (- (/ z (* x y)) 1)))
(fma.f64 x (/.f64 z (*.f64 y (neg.f64 x))) x)
x
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(* -1 (/ z y))
(neg.f64 (/.f64 z y))
(* z (- (/ x z) (/ 1 y)))
(-.f64 (*.f64 z (/.f64 x z)) (/.f64 z y))
(* z (- (/ x z) (/ 1 y)))
(-.f64 (*.f64 z (/.f64 x z)) (/.f64 z y))
(* z (- (/ x z) (/ 1 y)))
(-.f64 (*.f64 z (/.f64 x z)) (/.f64 z y))
(* -1 (/ z y))
(neg.f64 (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(-.f64 (*.f64 z (/.f64 x z)) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(-.f64 (*.f64 z (/.f64 x z)) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(-.f64 (*.f64 z (/.f64 x z)) (/.f64 z y))
(* -1 (/ z y))
(neg.f64 (/.f64 z y))
(/ (- (* x y) z) y)
(-.f64 x (/.f64 z y))
(/ (- (* x y) z) y)
(-.f64 x (/.f64 z y))
(/ (- (* x y) z) y)
(-.f64 x (/.f64 z y))
x
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
x
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(+ x (* -1 (/ z y)))
(-.f64 x (/.f64 z y))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -1/3 (/ z (pow y 2)))
(/.f64 (*.f64 z #s(literal -1/3 binary64)) (*.f64 y y))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))) (*.f64 y y))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/3 binary64))) (*.f64 y y))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z)))
(-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))
(-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) y))
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))
(-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))) y))
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
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(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))))) (*.f64 y y))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))))) (*.f64 y y))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1 binary64)))
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(fma.f64 z (+.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1 binary64)))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(fma.f64 z (-.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) y) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) y))
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(-.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) y) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/ 1/3 (pow y 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))

eval144.0ms (1.4%)

Memory
-29.1MiB live, 283.6MiB allocated
Compiler

Compiled 31 954 to 3 073 computations (90.4% saved)

prune239.0ms (2.3%)

Memory
31.3MiB live, 313.5MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New995161 011
Fresh538
Picked325
Done000
Total1 003211 024
Accuracy
100.0%
Counts
1 024 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
▶74.0%
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
17.6%
(/.f64 (fma.f64 y (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) y) (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))))) (*.f64 y (*.f64 y y)))
23.9%
(/.f64 (fma.f64 y (+.f64 x (log.f64 y)) #s(literal 1 binary64)) y)
▶77.5%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
▶35.1%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
45.6%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
34.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
34.1%
(/.f64 (*.f64 y x) y)
▶46.0%
(/.f64 #s(literal 1 binary64) y)
38.9%
(+.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
34.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
✓87.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
63.1%
(+.f64 x (fma.f64 x (*.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) y)))
76.2%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
▶85.4%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
10.6%
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
67.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
3.6%
(neg.f64 (/.f64 z y))
10.0%
(neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))))))
✓43.8%
x
Compiler

Compiled 670 to 431 computations (35.7% saved)

simplify320.0ms (3%)

Memory
-14.8MiB live, 396.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓cost-diff0
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
✓cost-diff512
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓cost-diff0
(fma.f64 y x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(exp.f64 (neg.f64 z))
✓cost-diff0
(/.f64 (exp.f64 (neg.f64 z)) y)
✓cost-diff0
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Rules
11 188×accelerator-lowering-fma.f32
11 188×accelerator-lowering-fma.f64
2 246×*-lowering-*.f32
2 246×*-lowering-*.f64
1 718×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034174
172174
2124174
3203174
4350174
5677174
61586174
73510174
86221174
97770174
08014161
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ (exp (neg z)) y))
x
(/ (exp (neg z)) y)
(exp (neg z))
(neg z)
z
y
(/ 1 y)
1
y
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
y
x
1
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) (+ (/ 1 y) x))
z
(/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
y
(+ (/ 1 y) x)
(/ 1 y)
1
x
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
x
(* x x)
(/ 1 (* y (* y y)))
1
(* y (* y y))
y
(* y y)
(+ (* x (- x (/ 1 y))) (/ 1 (* y y)))
(- x (/ 1 y))
(/ 1 y)
(/ 1 (* y y))
Outputs
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(exp (neg z))
(exp.f64 (neg.f64 z))
(neg z)
(neg.f64 z)
z
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ (+ (* y x) 1) y)
(/.f64 (fma.f64 x y #s(literal 1 binary64)) y)
(+ (* y x) 1)
(fma.f64 x y #s(literal 1 binary64))
y
x
1
#s(literal 1 binary64)
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) (+ (/ 1 y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
z
(/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* z -1/6) 1/2)
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
y
(+ (/ 1 y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
x
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
x
(* x x)
(*.f64 x x)
(/ 1 (* y (* y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
1
#s(literal 1 binary64)
(* y (* y y))
(*.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(+ (* x (- x (/ 1 y))) (/ 1 (* y y)))
(fma.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(- x (/ 1 y))
(+.f64 x (/.f64 #s(literal -1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 (* y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))

localize143.0ms (1.4%)

Memory
-11.4MiB live, 179.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓accuracy96.1%
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
✓accuracy43.8%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓accuracy100.0%
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy95.9%
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
✓accuracy100.0%
(fma.f64 y x #s(literal 1 binary64))
✓accuracy86.8%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(exp.f64 (neg.f64 z))
✓accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓accuracy100.0%
(/.f64 (exp.f64 (neg.f64 z)) y)
Samples
90.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 174 to 36 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 17.0ms (35.2% of total)
ival-div: 13.0ms (26.9% of total)
ival-add: 8.0ms (16.6% of total)
const: 4.0ms (8.3% of total)
ival-exp: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
18.1MiB live, 56.0MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (exp (neg z))>
#<alt (neg z)>
#<alt (/ 1 y)>
#<alt (/ (+ (* y x) 1) y)>
#<alt (+ (* y x) 1)>
#<alt (+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) (+ (/ 1 y) x))>
#<alt (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)>
#<alt (+ (* z (+ (* z -1/6) 1/2)) -1)>
#<alt (+ (* z -1/6) 1/2)>
#<alt (/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))>
#<alt (+ (* x (* x x)) (/ 1 (* y (* y y))))>
#<alt (* x x)>
#<alt (/ 1 (* y (* y y)))>
#<alt (/ 1 (* y y))>
Outputs
#<alt (/ (exp (neg z)) y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))>
#<alt (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))>
#<alt (/ -1 y)>
#<alt (- (* 1/2 (/ z y)) (/ 1 y))>
#<alt (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (* -1/6 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt (/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ (* x (+ 1 (* -1 (* x (+ y (* -1 y)))))) (/ 1 y))>
#<alt (+ (* x (+ 1 (* x (- (* -1 (* x (* y (+ y (* -1 y))))) (+ y (* -1 y)))))) (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)>
#<alt (/ (+ 1 (* y (- (* y (- (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 (pow y 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (/ 1 (pow y 3))>
#<alt (/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))>
#<alt (/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))>
#<alt (/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))>
#<alt (pow x 3)>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(+ (* z -1/6) 1/2)
1.0ms
x
@inf
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))
1.0ms
y
@inf
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))
1.0ms
y
@0
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) (+ (/ 1 y) x))
1.0ms
y
@-inf
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))

rewrite391.0ms (3.7%)

Memory
-7.2MiB live, 669.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 708×*-lowering-*.f32
4 708×*-lowering-*.f64
4 262×/-lowering-/.f32
4 262×/-lowering-/.f64
3 540×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034121
121897
2205997
0854787
Stop Event
1×iter limit
1×node limit
Counts
16 → 663
Calls
Call 1
Inputs
(+ x (/ (exp (neg z)) y))
(/ (exp (neg z)) y)
(exp (neg z))
(neg z)
(/ 1 y)
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
(+ (* z (/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)) (+ (/ 1 y) x))
(/ (+ (* z (+ (* z -1/6) 1/2)) -1) y)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x (- x (/ 1 y))) (/ 1 (* y y))))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
(* x x)
(/ 1 (* y (* y y)))
(/ 1 (* y y))
Outputs
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (/.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 (neg.f64 z))) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (exp.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))) (*.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) (*.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(pow.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z)))) (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (exp.f64 (*.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x) (*.f64 y (exp.f64 z))))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (exp.f64 (+.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (exp.f64 z))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (neg.f64 z) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (neg.f64 z)))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) z))
(neg.f64 (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 z))) y))
(/.f64 (exp.f64 (neg.f64 z)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 z) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (exp.f64 z))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 z))) (neg.f64 y))
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (*.f64 y (exp.f64 z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 z) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 (neg.f64 (neg.f64 z))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (exp.f64 (neg.f64 z))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (neg.f64 z))
(exp.f64 (*.f64 (log.f64 (exp.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) z))
(/.f64 #s(literal 1 binary64) (exp.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 z)))
(pow.f64 (exp.f64 z) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) z)
(pow.f64 (/.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z)))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
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(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
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(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))
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(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
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(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)) #s(literal 3/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y y)))
(pow.f64 y #s(literal -3 binary64))
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(pow.f64 (*.f64 y y) #s(literal -3/2 binary64))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 y))
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(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))

simplify441.0ms (4.2%)

Memory
24.3MiB live, 645.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 054×accelerator-lowering-fma.f32
10 054×accelerator-lowering-fma.f64
3 774×*-lowering-*.f32
3 774×*-lowering-*.f64
2 858×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02112377
16142344
218732189
372082189
087242049
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (exp (neg z)) y)
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(/ (exp (neg z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
x
(+ x (/ (exp (neg z)) y))
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(+ x (/ (exp (neg z)) y))
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
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(/ 1 y)
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(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
1
(+ 1 (* -1 z))
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(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
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(/ 1 y)
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(/ 1 y)
(/ 1 y)
(/ (+ 1 (* x y)) y)
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(/ (+ 1 (* x y)) y)
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x
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(/ 1 y)
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x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
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(* x y)
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(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* -1/6 (/ (pow z 3) y))
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(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
(/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)
x
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
x
(+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))
(+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))
(+ x (* -1 (/ (- (* -1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 1) y)))
(+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
(+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))
x
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))
(/ -1 y)
(- (* 1/2 (/ z y)) (/ 1 y))
(- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(* -1/6 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* -1/6 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
-1
(- (* 1/2 z) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 2))
(* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
(* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))
1/2
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
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(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* -1/6 z)
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(/ 1 y)
(+ x (/ 1 y))
(+ (* x (+ 1 (* -1 (* x (+ y (* -1 y)))))) (/ 1 y))
(+ (* x (+ 1 (* x (- (* -1 (* x (* y (+ y (* -1 y))))) (+ y (* -1 y)))))) (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)
(/ (+ 1 (* y (- (* y (- (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 (pow y 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(/ 1 (pow y 3))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(pow x 3)
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(pow x 3)
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
Outputs
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(fma.f64 (exp.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(-.f64 x (/.f64 (fma.f64 (neg.f64 z) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
x
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
x
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (/ (exp (neg z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(/.f64 (fma.f64 (neg.f64 z) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (neg z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ (+ 1 (* x y)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ (+ 1 (* x y)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
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(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) x))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(-.f64 x (/.f64 (fma.f64 (neg.f64 z) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) y))
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))))
(* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z z)))) (/.f64 x (*.f64 z (*.f64 z z))))))
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))
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(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))

eval160.0ms (1.5%)

Memory
-25.2MiB live, 302.8MiB allocated
Compiler

Compiled 35 565 to 2 218 computations (93.8% saved)

prune168.0ms (1.6%)

Memory
36.0MiB live, 275.8MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1 017121 029
Fresh7714
Picked325
Done022
Total1 027231 050
Accuracy
100.0%
Counts
1 050 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
▶70.8%
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
70.8%
(fma.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
73.8%
(fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
69.4%
(fma.f64 x (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
17.6%
(/.f64 (fma.f64 y (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) y) (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))))) (*.f64 y (*.f64 y y)))
23.9%
(/.f64 (fma.f64 y (+.f64 x (log.f64 y)) #s(literal 1 binary64)) y)
✓77.5%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
45.6%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
66.4%
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) y)
20.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
34.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
▶10.7%
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
34.1%
(/.f64 (*.f64 y x) y)
44.8%
(/.f64 (exp.f64 (neg.f64 z)) y)
✓46.0%
(/.f64 #s(literal 1 binary64) y)
38.9%
(+.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
✓87.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
74.3%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
▶77.4%
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
▶10.7%
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
▶3.6%
(neg.f64 (/.f64 z y))
✓43.8%
x
Compiler

Compiled 671 to 408 computations (39.2% saved)

simplify518.0ms (4.9%)

Memory
-10.5MiB live, 700.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
✓cost-diff512
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓cost-diff2496
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 z (*.f64 z z))
✓cost-diff1152
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
✓cost-diff0
(*.f64 z #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
✓cost-diff0
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
✓cost-diff0
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(neg.f64 (/.f64 z y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(fma.f64 x y #s(literal 1 binary64))
✓cost-diff512
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
Rules
18 054×accelerator-lowering-fma.f32
18 054×accelerator-lowering-fma.f64
4 376×+-lowering-+.f64
4 376×+-lowering-+.f32
3 002×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034249
196241
2258241
3716185
42347181
54967181
67887181
08934164
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* x y) 1) (/ 1 y))
(+ (* x y) 1)
x
y
1
(/ 1 y)
(neg (/ z y))
(/ z y)
z
y
(/ (* z (* z (* z -1/6))) y)
(* z (* z (* z -1/6)))
z
(* z (* z -1/6))
(* z -1/6)
-1/6
y
(* (* z (* z z)) (+ (/ 1/2 (* z y)) (/ -1/6 y)))
(* z (* z z))
z
(* z z)
(+ (/ 1/2 (* z y)) (/ -1/6 y))
(/ 1/2 (* z y))
1/2
(* z y)
y
(/ -1/6 y)
-1/6
(+ (* z (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)) (+ (/ 1 y) x))
z
(/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)
(/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1))
(+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1)
(* z (+ (* z -1/6) 1/2))
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
(+ (* z (+ (* z -1/6) 1/2)) 1)
1
y
(+ (/ 1 y) x)
(/ 1 y)
x
Outputs
(* (+ (* x y) 1) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* x y) 1)
(fma.f64 y x #s(literal 1 binary64))
x
y
1
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(neg (/ z y))
(/.f64 z (neg.f64 y))
(/ z y)
(/.f64 z y)
z
y
(/ (* z (* z (* z -1/6))) y)
(/.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z))) y)
(* z (* z (* z -1/6)))
(*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z z)))
z
(* z (* z -1/6))
(*.f64 #s(literal -1/6 binary64) (*.f64 z z))
(* z -1/6)
(*.f64 z #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
y
(* (* z (* z z)) (+ (/ 1/2 (* z y)) (/ -1/6 y)))
(/.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) y)
(* z (* z z))
(*.f64 z (*.f64 z z))
z
(* z z)
(*.f64 z z)
(+ (/ 1/2 (* z y)) (/ -1/6 y))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1/6 binary64) y))
(/ 1/2 (* z y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
1/2
#s(literal 1/2 binary64)
(* z y)
(*.f64 y z)
y
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
-1/6
#s(literal -1/6 binary64)
(+ (* z (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)) (+ (/ 1 y) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
z
(/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1))
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1)
(fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(* z (+ (* z -1/6) 1/2))
(*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+ (* z -1/6) 1/2)
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(+ (* z (+ (* z -1/6) 1/2)) 1)
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
y
(+ (/ 1 y) x)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
x

localize172.0ms (1.6%)

Memory
-19.0MiB live, 217.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
✓accuracy99.8%
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy95.9%
(/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)
✓accuracy77.1%
(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 z (*.f64 z z))
✓accuracy99.4%
(/.f64 #s(literal -1/6 binary64) y)
✓accuracy98.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 z y))
✓accuracy75.6%
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
✓accuracy99.9%
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
✓accuracy99.9%
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
✓accuracy99.5%
(*.f64 z #s(literal -1/6 binary64))
✓accuracy92.6%
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(neg.f64 (/.f64 z y))
✓accuracy100.0%
(fma.f64 x y #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy86.6%
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
Samples
126.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 226 to 36 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-add: 60.0ms (56.7% of total)
ival-div: 20.0ms (18.9% of total)
ival-mult: 18.0ms (17% of total)
const: 6.0ms (5.7% of total)
ival-neg: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.6%)

Memory
-31.9MiB live, 45.2MiB allocated
Counts
20 → 372
Calls
Call 1
Inputs
#<alt (* (+ (* x y) 1) (/ 1 y))>
#<alt (+ (* x y) 1)>
#<alt (/ 1 y)>
#<alt (neg (/ z y))>
#<alt (/ z y)>
#<alt (/ (* z (* z (* z -1/6))) y)>
#<alt (* z (* z (* z -1/6)))>
#<alt (* z (* z -1/6))>
#<alt (* z -1/6)>
#<alt (* (* z (* z z)) (+ (/ 1/2 (* z y)) (/ -1/6 y)))>
#<alt (* z (* z z))>
#<alt (* z z)>
#<alt (+ (/ 1/2 (* z y)) (/ -1/6 y))>
#<alt (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1))>
#<alt (+ (* z (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)) (+ (/ 1 y) x))>
#<alt (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)>
#<alt (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1)>
#<alt (/ 1/2 (* z y))>
#<alt (/ -1/6 y)>
#<alt (+ (* z -1/6) 1/2)>
Outputs
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ z y))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 (pow z 2))>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)>
#<alt (* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))>
#<alt (* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))>
#<alt (* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))>
#<alt (* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 1/2 (* y z))>
#<alt (/ (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))) z)>
#<alt (/ (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))) z)>
#<alt (/ (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))) z)>
#<alt (/ -1/6 y)>
#<alt (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))>
#<alt (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))>
#<alt (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))>
#<alt (/ -1/6 y)>
#<alt (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))>
#<alt (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))>
#<alt (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (/ (- (* 1/2 (/ 1 z)) 1/6) y)>
#<alt (* -1 (/ (- 1/6 (* 1/2 (/ 1 z))) y))>
#<alt (* -1 (/ (- 1/6 (* 1/2 (/ 1 z))) y))>
#<alt (* -1 (/ (- 1/6 (* 1/2 (/ 1 z))) y))>
#<alt (* -1 (/ (- 1/6 (* 1/2 (/ 1 z))) y))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (- (* z (+ 1/2 (* -1/6 z))) 1)>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 z) 1/2) z)) 1/6))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (+ 1 (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z)))))) y)>
#<alt (/ (+ 1 (+ (* x y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z))))))) y)>
#<alt (/ (+ 1 (+ (* x y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z))))))) y)>
#<alt (/ (+ 1 (+ (* x y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z))))))) y)>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z)))))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z)))))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (+ 1 (* z (+ 1/2 (* -1/6 z)))))) 1) y)))>
#<alt (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z)))))))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* x (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* x (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* x (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1)) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))) x)) 1)))>
#<alt (/ -1 y)>
#<alt (- (* 1/2 (/ z y)) (/ 1 y))>
#<alt (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (* -1/6 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 2) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 2) (- (* -1 (/ (- (/ 1 (* y z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt (/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))>
#<alt -1>
#<alt (- (* 1/4 (pow z 2)) 1)>
#<alt (- (* (pow z 2) (+ 1/4 (* -1/6 z))) 1)>
#<alt (- (* (pow z 2) (+ 1/4 (* z (- (* 1/36 z) 1/6)))) 1)>
#<alt (* 1/36 (pow z 4))>
#<alt (* (pow z 4) (- 1/36 (* 1/6 (/ 1 z))))>
#<alt (* (pow z 4) (- (+ 1/36 (/ 1/4 (pow z 2))) (* 1/6 (/ 1 z))))>
#<alt (* (pow z 4) (- (+ 1/36 (/ 1/4 (pow z 2))) (+ (* 1/6 (/ 1 z)) (/ 1 (pow z 4)))))>
#<alt (* 1/36 (pow z 4))>
#<alt (* (pow z 4) (- 1/36 (* 1/6 (/ 1 z))))>
#<alt (* (pow z 4) (+ 1/36 (* -1 (/ (- 1/6 (* 1/4 (/ 1 z))) z))))>
#<alt (* (pow z 4) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/4 (/ 1 (pow z 2))) z))) z))))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ 1/2 (* y z))>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt (/ -1/6 y)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (+ 1/2 (* -1/6 z))>
#<alt (* -1/6 z)>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* z (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 z)>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))>
Calls

93 calls:

TimeVariablePointExpression
13.0ms
y
@0
(/ (* z (* z (* z -1/6))) y)
1.0ms
y
@0
(+ (* z (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)) (+ (/ 1 y) x))
1.0ms
y
@0
(* (* z (* z z)) (+ (/ 1/2 (* z y)) (/ -1/6 y)))
1.0ms
y
@0
(/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)
1.0ms
x
@0
(+ (* z (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)) (+ (/ 1 y) x))

rewrite394.0ms (3.7%)

Memory
34.8MiB live, 740.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 884×/-lowering-/.f32
4 884×/-lowering-/.f64
4 536×*-lowering-*.f32
4 536×*-lowering-*.f64
4 514×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034173
1228133
22234133
08462122
Stop Event
1×iter limit
1×node limit
Counts
20 → 834
Calls
Call 1
Inputs
(* (+ (* x y) 1) (/ 1 y))
(+ (* x y) 1)
(/ 1 y)
(neg (/ z y))
(/ z y)
(/ (* z (* z (* z -1/6))) y)
(* z (* z (* z -1/6)))
(* z (* z -1/6))
(* z -1/6)
(* (* z (* z z)) (+ (/ 1/2 (* z y)) (/ -1/6 y)))
(* z (* z z))
(* z z)
(+ (/ 1/2 (* z y)) (/ -1/6 y))
(/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1))
(+ (* z (/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)) (+ (/ 1 y) x))
(/ (/ (+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1) (+ (* z (+ (* z -1/6) 1/2)) 1)) y)
(+ (* (* z (+ (* z -1/6) 1/2)) (* z (+ (* z -1/6) 1/2))) -1)
(/ 1/2 (* z y))
(/ -1/6 y)
(+ (* z -1/6) 1/2)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64))) y))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 y (fma.f64 x y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x y #s(literal -1 binary64)))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))))
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(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (*.f64 z #s(literal -1/12 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z z) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64))))

simplify532.0ms (5%)

Memory
16.1MiB live, 653.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 958×accelerator-lowering-fma.f32
11 958×accelerator-lowering-fma.f64
5 146×*-lowering-*.f32
5 146×*-lowering-*.f64
1 814×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02093119
16233047
217922920
361232902
082542699
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ 1 y)
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x
(* x (+ 1 (/ 1 (* x y))))
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x
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1
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(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
(/ -1/6 y)
1/2
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(+ 1/2 (* -1/6 z))
(* -1/6 z)
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(* -1/6 z)
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 3))
(*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64))))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 (pow z 2))
(*.f64 z (*.f64 z #s(literal -1/6 binary64)))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* 1/2 (/ (pow z 2) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(* (pow z 2) (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* (pow z 2) (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* (pow z 2) (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1/6 (/ (pow z 3) y))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(/ (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6)) y)
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(* -1 (/ (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))) y))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))) z)
(/.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y) z)
(/ (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))) z)
(/.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y) z)
(/ (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y))) z)
(/.f64 (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y) z)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(/ (- (* 1/2 (/ 1 z)) 1/6) y)
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(/ (- (* 1/2 (/ 1 z)) 1/6) y)
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(/ (- (* 1/2 (/ 1 z)) 1/6) y)
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(/ (- (* 1/2 (/ 1 z)) 1/6) y)
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) y)
(/ (- (* 1/2 (/ 1 z)) 1/6) y)
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(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
(/ (- (* (pow z 2) (pow (+ 1/2 (* -1/6 z)) 2)) 1) (* y (+ 1 (* z (+ 1/2 (* -1/6 z))))))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (*.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* 1/4 (pow z 2)) 1)
(fma.f64 z (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* (pow z 2) (+ 1/4 (* -1/6 z))) 1)
(fma.f64 (*.f64 z z) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* (pow z 2) (+ 1/4 (* z (- (* 1/36 z) 1/6)))) 1)
(fma.f64 (*.f64 z z) (fma.f64 z (fma.f64 z #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* 1/36 (pow z 4))
(*.f64 #s(literal 1/36 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (- 1/36 (* 1/6 (/ 1 z))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) z)))
(* (pow z 4) (- (+ 1/36 (/ 1/4 (pow z 2))) (* 1/6 (/ 1 z))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) z)) z)))
(* (pow z 4) (- (+ 1/36 (/ 1/4 (pow z 2))) (+ (* 1/6 (/ 1 z)) (/ 1 (pow z 4)))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) z)) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(* 1/36 (pow z 4))
(*.f64 #s(literal 1/36 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (- 1/36 (* 1/6 (/ 1 z))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) z)))
(* (pow z 4) (+ 1/36 (* -1 (/ (- 1/6 (* 1/4 (/ 1 z))) z))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) z)) z)))
(* (pow z 4) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/4 (/ 1 (pow z 2))) z))) z))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z)) z)))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ 1/2 (* y z))
(/.f64 #s(literal 1/2 binary64) (*.f64 y z))
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
(/ -1/6 y)
(/.f64 #s(literal -1/6 binary64) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 z))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))

eval222.0ms (2.1%)

Memory
-8.0MiB live, 413.0MiB allocated
Compiler

Compiled 33 477 to 2 956 computations (91.2% saved)

prune169.0ms (1.6%)

Memory
32.1MiB live, 461.5MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 291131 304
Fresh31114
Picked415
Done044
Total1 298291 327
Accuracy
100.0%
Counts
1 327 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(fma.f64 (/.f64 (*.f64 z (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
72.5%
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
75.4%
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
69.4%
(fma.f64 x (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
23.9%
(/.f64 (fma.f64 y (+.f64 x (log.f64 y)) #s(literal 1 binary64)) y)
✓77.5%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
45.6%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
66.4%
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) y)
20.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
34.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
3.5%
(/.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y z)))
10.7%
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
10.7%
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 y #s(literal -6 binary64)))
7.9%
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
34.1%
(/.f64 (*.f64 y x) y)
44.8%
(/.f64 (exp.f64 (neg.f64 z)) y)
10.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal -6 binary64)))
✓46.0%
(/.f64 #s(literal 1 binary64) y)
38.9%
(+.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
✓87.1%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
74.3%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
5.0%
(*.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/2 binary64))) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y y)))
7.8%
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) z)
7.8%
(*.f64 (*.f64 z z) (/.f64 (*.f64 z #s(literal -1/6 binary64)) y))
34.0%
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
3.6%
(*.f64 z (/.f64 #s(literal -1 binary64) y))
8.0%
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
✓3.6%
(neg.f64 (/.f64 z y))
✓43.8%
x
Compiler

Compiled 1 220 to 471 computations (61.4% saved)

regimes102.0ms (1%)

Memory
-41.4MiB live, 224.9MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z z) (/.f64 (*.f64 z #s(literal -1/6 binary64)) y))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) z)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 y #s(literal -6 binary64)))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal -6 binary64)))
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) y)
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
(fma.f64 x (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y z)))
(*.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/2 binary64))) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))))))
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (fma.f64 y (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) y) (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))))) (*.f64 y (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (fma.f64 x (*.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (/.f64 (*.f64 z (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/.f64 (fma.f64 y (+.f64 x (log.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (fma.f64 y (+.f64 (-.f64 x (log.f64 z)) (log.f64 y)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(*.f64 (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(+.f64 x (*.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1/2 binary64))))
Outputs
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
Calls

5 calls:

28.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
21.0ms
y
19.0ms
x
16.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
16.0ms
z
Results
AccuracySegmentsBranch
90.2%2x
99.6%3y
90.8%3z
91.0%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
94.1%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes47.0ms (0.4%)

Memory
18.2MiB live, 57.4MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z z) (/.f64 (*.f64 z #s(literal -1/6 binary64)) y))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) z)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 y #s(literal -6 binary64)))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal -6 binary64)))
(fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(fma.f64 z (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64))) y)
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z y)) (/.f64 #s(literal -1/6 binary64) y)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) y))
(fma.f64 x (fma.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 z (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y z)))
(*.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 y #s(literal 1/2 binary64))) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y y)))
(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y)))))))
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (fma.f64 y (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) y) (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (*.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)))))) (*.f64 y (*.f64 y y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(fma.f64 z (/.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 x (fma.f64 x (*.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(fma.f64 (/.f64 (*.f64 z (fma.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(fma.f64 z (fma.f64 z (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal -1/3 binary64)) (*.f64 y y))) (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (exp.f64 (neg.f64 z)) y)
Outputs
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

32.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
13.0ms
y
Results
AccuracySegmentsBranch
87.1%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
92.3%2y
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory
-9.8MiB live, 29.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z z) (/.f64 (*.f64 z #s(literal -1/6 binary64)) y))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) z)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 y #s(literal -6 binary64)))
(/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y)
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x))))
(*.f64 z (*.f64 z (/.f64 (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 z y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
Outputs
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

26.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
6.0ms
y
Results
AccuracySegmentsBranch
87.1%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
90.5%2y
Compiler

Compiled 20 to 13 computations (35% saved)

regimes24.0ms (0.2%)

Memory
21.4MiB live, 60.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y x) y)
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z z) (/.f64 (*.f64 z #s(literal -1/6 binary64)) y))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) y) z)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

5 calls:

5.0ms
z
5.0ms
y
4.0ms
x
4.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
4.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
87.1%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
87.1%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
87.1%1z
87.1%1x
87.1%1y
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-15.3MiB live, 25.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))
Outputs
x
(/.f64 #s(literal 1 binary64) y)
x
Calls

5 calls:

3.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
69.9%3x
66.6%3y
60.7%4z
50.8%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
65.0%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

5 calls:

1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
43.8%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
43.8%1z
43.8%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
43.8%1y
43.8%1x
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch31.0ms (0.3%)

Memory
-17.4MiB live, 60.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.004839936986325e-14
2.7874584423354273e-9
15.0ms
-1119817654217799000.0
-515750395759624.94
Samples
18.0ms208×0valid
2.0ms35×0invalid
Compiler

Compiled 279 to 211 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 3.0ms (21.9% of total)
ival-log: 3.0ms (21.9% of total)
ival-exp: 3.0ms (21.9% of total)
ival-add: 2.0ms (14.6% of total)
ival-mult: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Memory
-13.7MiB live, 23.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
62.0ms
-1119817654217799000.0
-515750395759624.94
Samples
10.0ms128×0valid
1.0ms13×0invalid
Compiler

Compiled 235 to 176 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (27.5% of total)
ival-log: 2.0ms (27.5% of total)
ival-exp: 1.0ms (13.8% of total)
ival-add: 1.0ms (13.8% of total)
ival-mult: 1.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
36.4MiB live, 36.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-1119817654217799000.0
-515750395759624.94
Samples
10.0ms128×0valid
1.0ms16×0invalid
Compiler

Compiled 211 to 160 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (25.8% of total)
ival-log: 2.0ms (25.8% of total)
ival-exp: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-mult: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
-4.2MiB live, 78.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.052776310615399e-35
1.155731983095667e-34
28.0ms
-8.782859857645024e-13
-4.204255433176303e-20
Samples
18.0ms58×1valid
17.0ms182×0valid
Compiler

Compiled 199 to 166 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-log: 15.0ms (53.6% of total)
ival-div: 4.0ms (14.3% of total)
ival-add: 3.0ms (10.7% of total)
ival-exp: 3.0ms (10.7% of total)
ival-mult: 2.0ms (7.2% of total)
adjust: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-22.8MiB live, 15.1MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
4×if-if-or-not_binary32
2×*-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03683
15183
25383
35483
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 x #s(literal -2855763272194155/2596148429267413814265248164610048 binary64)) x (if (<=.f64 x #s(literal 2572242881702389/23384026197294446691258957323460528314494920687616 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x
Outputs
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -520000000000000 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -2855763272194155/2596148429267413814265248164610048 binary64)) x (if (<=.f64 x #s(literal 2572242881702389/23384026197294446691258957323460528314494920687616 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x

soundness533.0ms (5%)

Memory
-2.0MiB live, 561.0MiB allocated
Rules
11 384×accelerator-lowering-fma.f32
11 384×accelerator-lowering-fma.f64
10 054×accelerator-lowering-fma.f32
10 054×accelerator-lowering-fma.f64
9 370×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04705371
114495165
247144919
081594632
02112377
16142344
218732189
372082189
087242049
06034108
118143482
260863379
082183225
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 192 to 110 computations (42.7% saved)

preprocess71.0ms (0.7%)

Memory
3.1MiB live, 119.3MiB allocated
Compiler

Compiled 280 to 132 computations (52.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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