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

Time bar (total: 10.8s)

analyze216.0ms (2%)

Memory
6.5MiB live, 411.8MiB 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 (19.3%)

Memory
-2.3MiB live, 2 499.8MiB allocated
Samples
942.0ms2 278×1valid
699.0ms5 978×0valid
84.0ms955×0invalid
3.0ms24×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 565.0ms (44% of total)
ival-div: 219.0ms (17.1% of total)
ival-exp: 188.0ms (14.6% of total)
ival-add: 178.0ms (13.9% of total)
ival-mult: 73.0ms (5.7% of total)
adjust: 50.0ms (3.9% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess226.0ms (2.1%)

Memory
15.7MiB live, 52.8MiB allocated
Algorithm
1×egg-herbie
Rules
1 782×div-sub
850×sub-neg
614×times-frac
612×distribute-rgt-in
612×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051130
1106104
2224102
3480102
41083102
52262100
63232100
74472100
85310100
96024100
106426100
116651100
126930100
137226100
147480100
157805100
167903100
177905100
187905100
197905100
207973100
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))

explain276.0ms (2.6%)

Memory
-3.1MiB live, 560.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15249(5.1295602229373015e+101 -4.256696590838974e+88 4.2285848471258853e-262)0-(log.f64 (/.f64 y (+.f64 z y)))
530-4(6.104340148173993e-198 5.478443367748497e+25 4.0344594675582044e-289)(*.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)))sensitivity1780
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue220
↳(log.f64 (/.f64 y (+.f64 z y)))underflow49
↳(/.f64 y (+.f64 z y))underflow23
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u90
Confusion
Predicted +Predicted -
+400
-16056
Precision
0.2
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4000
-160056
Precision?
0.2
Recall?
1.0
Freqs
test
numberfreq
056
1191
29
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
84.0ms288×1valid
23.0ms46×2valid
16.0ms178×0valid
Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-log: 50.0ms (51.9% of total)
ival-div: 13.0ms (13.5% of total)
adjust: 9.0ms (9.3% of total)
ival-exp: 9.0ms (9.3% of total)
ival-add: 9.0ms (9.3% of total)
ival-mult: 6.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.4%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0%)

Memory
9.4MiB live, 9.4MiB 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

localize83.0ms (0.8%)

Memory
3.8MiB live, 199.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
✓accuracy100.0%
(/.f64 y (+.f64 z y))
✓accuracy81.1%
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓accuracy47.3%
(log.f64 (/.f64 y (+.f64 z y)))
Samples
43.0ms144×1valid
14.0ms89×0valid
13.0ms23×2valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-log: 29.0ms (53.5% of total)
ival-div: 10.0ms (18.5% of total)
ival-exp: 4.0ms (7.4% of total)
ival-add: 4.0ms (7.4% of total)
adjust: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-0.9MiB live, 76.7MiB 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
8.0ms
x
@0
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
3.0ms
y
@inf
(exp (* y (log (/ y (+ z y)))))
2.0ms
y
@inf
(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms
y
@inf
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
2.0ms
y
@-inf
(exp (* y (log (/ y (+ z y)))))

rewrite581.0ms (5.4%)

Memory
-35.0MiB live, 453.2MiB 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)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 y z)) y)) x)
(fma.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)))) y) x)
(fma.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)))) (/.f64 #s(literal 1 binary64) y)) x)
(fma.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)) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (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)))) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (+.f64 y y)) (*.f64 y (neg.f64 y))))) (+.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)))))
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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))

simplify397.0ms (3.7%)

Memory
15.5MiB live, 610.6MiB 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))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (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)))
(+ (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)))
1
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1
#s(literal 1 binary64)
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(*.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))

eval70.0ms (0.7%)

Memory
2.6MiB live, 152.0MiB allocated
Compiler

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

prune69.0ms (0.6%)

Memory
25.5MiB live, 188.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New47810488
Fresh000
Picked101
Done000
Total47910489
Accuracy
100.0%
Counts
489 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.3%
(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))
36.8%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
39.6%
(/.f64 #s(literal 1 binary64) y)
▶89.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
59.5%
(+.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))
65.7%
(+.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))
▶68.5%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
▶83.8%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
85.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
▶52.9%
x
Compiler

Compiled 282 to 186 computations (34% saved)

simplify306.0ms (2.8%)

Memory
-8.9MiB live, 432.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff320
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
✓cost-diff384
(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))
✓cost-diff704
(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))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓cost-diff0
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Rules
12 968×accelerator-lowering-fma.f32
12 968×accelerator-lowering-fma.f64
2 400×*-lowering-*.f32
2 400×*-lowering-*.f64
1 566×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024126
156126
2136124
3257120
4488120
5973120
62293120
74211120
85765116
97207116
107796116
117987116
08017113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ 1 y) x)
(/ 1 y)
1
y
x
x
(+ x (/ (- 1 z) y))
x
(/ (- 1 z) y)
(- 1 z)
1
z
y
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
z
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
(+ (/ 1/2 y) (/ 1/2 (* y y)))
(/ 1/2 y)
1/2
y
(/ 1/2 (* y y))
(* y y)
(/ -1 y)
-1
(+ (/ 1 y) x)
(/ 1 y)
1
x
(+ x (/ (exp (neg z)) y))
x
(/ (exp (neg z)) y)
(exp (neg z))
(neg z)
z
y
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
(+ x (/ (- 1 z) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
y
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z (*.f64 z (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 z #s(literal -1 binary64))) x)
z
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(+ (/ 1/2 y) (/ 1/2 (* y y)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(/ 1/2 (* y y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(* y y)
(*.f64 y y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
(+ (/ 1 y) x)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
x
(+ 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

localize79.0ms (0.7%)

Memory
13.1MiB live, 125.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(exp.f64 (neg.f64 z))
✓accuracy100.0%
(/.f64 (exp.f64 (neg.f64 z)) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓accuracy98.6%
(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))
✓accuracy94.0%
(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))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓accuracy100.0%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Samples
45.0ms256×0valid
Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 12.0ms (43.4% of total)
ival-add: 6.0ms (21.7% of total)
ival-mult: 4.0ms (14.5% of total)
ival-exp: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
11.1MiB live, 48.1MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (+ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ x (/ (- 1 z) y))>
#<alt (/ (- 1 z) y)>
#<alt (- 1 z)>
#<alt (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))>
#<alt (+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))>
#<alt (+ (/ 1/2 y) (/ 1/2 (* y y)))>
#<alt (/ 1/2 y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (exp (neg z))>
#<alt (neg z)>
#<alt (/ 1/2 (* 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 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 (/ (- (+ 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 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<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>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (/ -1 y)>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (* -1 (/ (+ 1 (* -1/2 z)) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z 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 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<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 (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
Calls

72 calls:

TimeVariablePointExpression
6.0ms
y
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
z
@0
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms
x
@0
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
1.0ms
z
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
0.0ms
y
@inf
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))

rewrite345.0ms (3.2%)

Memory
4.8MiB live, 480.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 466×accelerator-lowering-fma.f32
5 466×accelerator-lowering-fma.f64
5 242×/-lowering-/.f32
5 242×/-lowering-/.f64
3 492×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02495
117895
2192595
0884389
Stop Event
1×iter limit
1×node limit
Counts
14 → 532
Calls
Call 1
Inputs
(+ (/ 1 y) x)
(/ 1 y)
(+ x (/ (- 1 z) y))
(/ (- 1 z) y)
(- 1 z)
(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))
(+ (/ 1/2 y) (/ 1/2 (* y y)))
(/ 1/2 y)
(+ x (/ (exp (neg z)) y))
(/ (exp (neg z)) y)
(exp (neg z))
(neg z)
(/ 1/2 (* 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) x))))
(/.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 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x))))
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(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (neg.f64 z)))
(exp.f64 (+.f64 (neg.f64 z) (neg.f64 (log.f64 y))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (exp.f64 (neg.f64 z)) (neg.f64 y)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 z) (neg.f64 y))))
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(/.f64 (neg.f64 (exp.f64 (neg.f64 z))) (neg.f64 y))
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(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 (neg.f64 y)))
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(*.f64 (/.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
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simplify461.0ms (4.3%)

Memory
-38.8MiB live, 603.9MiB allocated
Algorithm
1×egg-herbie
Rules
16 194×accelerator-lowering-fma.f32
16 194×accelerator-lowering-fma.f64
3 478×*-lowering-*.f32
3 478×*-lowering-*.f64
3 152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912248
15342224
214792074
345802010
477702010
083231904
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
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(+ x (/ 1 y))
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(/ 1 y)
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(* x (+ 1 (/ 1 (* x y))))
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(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 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))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (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 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))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) 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))
(/.f64 (neg.f64 z) y)
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(fma.f64 z (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) 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 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))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* z (- (/ 1 (* y z)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* z (- (/ 1 (* y z)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* z (- (/ 1 (* y z)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* 1/2 (/ z (pow y 2)))
(/.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 y y))
(/ (- (* 1/2 z) 1) y)
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (* -1/2 z)) y))
(/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y)
(+ 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 (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 z z))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(*.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 x (*.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(*.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) (/.f64 x (*.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 z z))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/.f64 (fma.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) y) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/.f64 (fma.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (fma.f64 y (*.f64 y x) y)) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/.f64 (fma.f64 z (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y)) (fma.f64 y (*.f64 y x) y)) (*.f64 y y))
x
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
x
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(fma.f64 x (fma.f64 z (/.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(fma.f64 x (fma.f64 z (/.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(fma.f64 x (fma.f64 z (/.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
x
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(fma.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y) x) x)
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(fma.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y) x) x)
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(fma.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y) x) x)
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (exp (neg z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ 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 (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+.f64 (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/ (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 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
x
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) 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 (* -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)
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))

eval156.0ms (1.4%)

Memory
40.7MiB live, 192.0MiB allocated
Compiler

Compiled 19 963 to 2 000 computations (90% saved)

prune130.0ms (1.2%)

Memory
-23.3MiB live, 211.2MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New88512897
Fresh235
Picked325
Done000
Total89017907
Accuracy
100.0%
Counts
907 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
▶78.6%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
35.9%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
36.8%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
54.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
▶24.1%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
3.4%
(/.f64 (neg.f64 z) y)
34.4%
(/.f64 (exp.f64 (neg.f64 z)) y)
▶39.6%
(/.f64 #s(literal 1 binary64) y)
✓89.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
▶69.0%
(+.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))
69.2%
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
▶85.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
7.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 z z))
4.5%
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
✓52.9%
x
Compiler

Compiled 420 to 273 computations (35% saved)

simplify322.0ms (3%)

Memory
-7.8MiB live, 440.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
✓cost-diff128
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z))
✓cost-diff192
(fma.f64 z z (/.f64 (*.f64 z z) y))
✓cost-diff0
(fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(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))
✓cost-diff0
(/.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)
✓cost-diff0
(+.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))
✓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
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))
✓cost-diff0
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))
✓cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
Rules
11 538×accelerator-lowering-fma.f32
11 538×accelerator-lowering-fma.f64
2 624×*-lowering-*.f32
2 624×*-lowering-*.f64
1 706×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034210
180202
2181202
3390202
4909202
52078202
64612202
76746202
87873202
08030183
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
x
(/ 1 (* y (pow (/ y (+ y z)) (neg y))))
1
(* y (pow (/ y (+ y z)) (neg y)))
y
(pow (/ y (+ y z)) (neg y))
(/ y (+ y z))
(+ y z)
z
(neg y)
(/ 1 y)
1
y
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
y
x
1
(+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))
x
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
z
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
1
y
(/ (- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)) y)
(- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z))
1
(+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)
-1/2
(+ (* z z) (/ (* z z) y))
z
(/ (* z z) y)
(* z z)
y
Outputs
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
x
(/ 1 (* y (pow (/ y (+ y z)) (neg y))))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))
1
#s(literal 1 binary64)
(* y (pow (/ y (+ y z)) (neg y)))
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
y
(pow (/ y (+ y z)) (neg y))
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))
(/ y (+ y z))
(/.f64 y (+.f64 y z))
(+ y z)
(+.f64 y z)
z
(neg y)
(neg.f64 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)
(+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) 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))
x
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(/.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)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 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))
z
(+ (* 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)
1
#s(literal 1 binary64)
y
(/ (- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)) y)
(/.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)
(- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z))
(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))
1
#s(literal 1 binary64)
(+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)
(fma.f64 (+.f64 z (/.f64 z y)) (*.f64 z #s(literal -1/2 binary64)) z)
-1/2
#s(literal -1/2 binary64)
(+ (* z z) (/ (* z z) y))
(*.f64 z (+.f64 z (/.f64 z y)))
z
(/ (* z z) y)
(/.f64 (*.f64 z z) y)
(* z z)
(*.f64 z z)
y

localize255.0ms (2.4%)

Memory
46.8MiB live, 351.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.4%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
✓accuracy92.9%
(/.f64 (*.f64 z z) y)
✓accuracy100.0%
(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))
✓accuracy99.9%
(fma.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))
✓accuracy97.0%
(/.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)
✓accuracy100.0%
(fma.f64 y x #s(literal 1 binary64))
✓accuracy87.2%
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 y (+.f64 y z))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))))
✓accuracy100.0%
(*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))
✓accuracy80.4%
(pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))
Samples
121.0ms119×0valid
76.0ms113×1valid
10.0ms12×1exit
6.0ms11×0exit
1.0ms1×5exit
Compiler

Compiled 191 to 36 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 30.0ms (31.9% of total)
ival-add: 18.0ms (19.1% of total)
ival-div: 16.0ms (17% of total)
ival-mult: 13.0ms (13.8% of total)
adjust: 8.0ms (8.5% of total)
const: 5.0ms (5.3% of total)
ival-neg: 2.0ms (2.1% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
-17.2MiB live, 104.8MiB allocated
Counts
19 → 420
Calls
Call 1
Inputs
#<alt (+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))>
#<alt (/ 1 (* y (pow (/ y (+ y z)) (neg y))))>
#<alt (* y (pow (/ y (+ y z)) (neg y)))>
#<alt (pow (/ y (+ y z)) (neg y))>
#<alt (/ 1 y)>
#<alt (/ (+ (* y x) 1) y)>
#<alt (+ (* y x) 1)>
#<alt (+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))>
#<alt (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)>
#<alt (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)>
#<alt (+ (* z (+ (* z -1/6) 1/2)) -1)>
#<alt (+ (* z z) (/ (* z z) y))>
#<alt (- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z))>
#<alt (/ (- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)) y)>
#<alt (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)>
#<alt (/ y (+ y z))>
#<alt (+ (* z -1/6) 1/2)>
#<alt (/ (* z z) y)>
#<alt (* z z)>
Outputs
#<alt (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt x>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z)))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))))>
#<alt x>
#<alt (+ x (/ 1 (* y (exp z))))>
#<alt (+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) 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 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 y))))))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))>
#<alt (+ x (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
#<alt (+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))>
#<alt (+ x (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))>
#<alt (+ x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/6 (/ (pow y 5) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* 1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z))))) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) z)) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (- (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)>
#<alt (/ 1 (* y (exp z)))>
#<alt (/ (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 2))) (/ 1 (exp z))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z))))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp z))) (+ (* -1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp z))) (+ (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp z))) (+ (* 1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))))) (* 1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -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 z))))))) (pow y 3))) (/ 1 (exp z))) (+ (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp z)))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (* (pow y 2) (exp z)))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp z)))))))) y)>
#<alt (/ 1 (* y (exp z)))>
#<alt (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 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))))))) (exp z))) (+ (* 1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp z))) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp z))) (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp z))))))) y)) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z)))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) 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 (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))))))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))>
#<alt (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))>
#<alt (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))>
#<alt (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (* 1/2 (/ (pow y 3) (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))) (* -1 (/ y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))>
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#<alt (* (pow z 2) (+ 1 (/ 1 y)))>
#<alt (/ (pow z 2) y)>
#<alt (/ (+ (* y (pow z 2)) (pow z 2)) y)>
#<alt (/ (+ (* y (pow z 2)) (pow z 2)) y)>
#<alt (/ (+ (* y (pow z 2)) (pow z 2)) y)>
#<alt (pow z 2)>
#<alt (+ (/ (pow z 2) y) (pow z 2))>
#<alt (+ (/ (pow z 2) y) (pow z 2))>
#<alt (+ (/ (pow z 2) y) (pow z 2))>
#<alt (pow z 2)>
#<alt (+ (/ (pow z 2) y) (pow z 2))>
#<alt (+ (/ (pow z 2) y) (pow z 2))>
#<alt (+ (/ (pow z 2) y) (pow z 2))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 (* z (+ 1 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* 1/2 (* z (+ 1 (/ 1 y)))) 1)))>
#<alt (* 1/2 (* (pow z 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z))))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z))))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z))))>
#<alt (* 1/2 (* (pow z 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z))))>
#<alt (* (pow z 2) (- (* -1 (/ (- 1 (/ 1 z)) z)) (* -1/2 (+ 1 (/ 1 y)))))>
#<alt (* (pow z 2) (- (* -1 (/ (- 1 (/ 1 z)) z)) (* -1/2 (+ 1 (/ 1 y)))))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (/ (- (* y (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (pow z 2))) y)>
#<alt (/ (- (* y (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (pow z 2))) y)>
#<alt (/ (- (* y (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (pow z 2))) y)>
#<alt (- 1 (+ z (* -1/2 (pow z 2))))>
#<alt (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2))))>
#<alt (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2))))>
#<alt (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2))))>
#<alt (- 1 (+ z (* -1/2 (pow z 2))))>
#<alt (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2))))>
#<alt (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2))))>
#<alt (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y))>
#<alt (* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (- 1 (+ z (* -1/2 (pow z 2)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (- 1 (+ z (* -1/2 (pow z 2)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (- 1 (+ z (* -1/2 (pow z 2)))))) (pow y 2))>
#<alt (/ (- 1 (+ z (* -1/2 (pow z 2)))) y)>
#<alt (/ (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2)))) y)>
#<alt (/ (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2)))) y)>
#<alt (/ (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2)))) y)>
#<alt (/ (- 1 (+ z (* -1/2 (pow z 2)))) y)>
#<alt (* -1 (/ (+ (* -1 (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (/ (pow z 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (/ (pow z 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (/ (pow z 2) y))) y))>
#<alt z>
#<alt (* z (+ 1 (* -1/2 (* z (+ 1 (/ 1 y))))))>
#<alt (* z (+ 1 (* -1/2 (* z (+ 1 (/ 1 y))))))>
#<alt (* z (+ 1 (* -1/2 (* z (+ 1 (/ 1 y))))))>
#<alt (* -1/2 (* (pow z 2) (+ 1 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))>
#<alt (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))>
#<alt (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))>
#<alt (* -1/2 (* (pow z 2) (+ 1 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))>
#<alt (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))>
#<alt (* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))>
#<alt (* -1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* -1/2 (pow z 2)) (* y (+ z (* -1/2 (pow z 2))))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* y (+ z (* -1/2 (pow z 2))))) y)>
#<alt (/ (+ (* -1/2 (pow z 2)) (* y (+ z (* -1/2 (pow z 2))))) y)>
#<alt (+ z (* -1/2 (pow z 2)))>
#<alt (+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))>
#<alt (+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))>
#<alt (+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))>
#<alt (+ z (* -1/2 (pow z 2)))>
#<alt (+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))>
#<alt (+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))>
#<alt (+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))>
#<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))>
#<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 (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<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)>
Calls

105 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(/ (+ (* y x) 1) y)
3.0ms
x
@-inf
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
3.0ms
z
@-inf
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
2.0ms
y
@-inf
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
2.0ms
z
@inf
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))

rewrite383.0ms (3.5%)

Memory
-3.9MiB live, 558.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 416×/-lowering-/.f32
4 416×/-lowering-/.f64
4 066×*-lowering-*.f32
4 066×*-lowering-*.f64
2 716×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034185
1242174
22304169
08396152
Stop Event
1×iter limit
1×node limit
Counts
19 → 670
Calls
Call 1
Inputs
(+ x (/ 1 (* y (pow (/ y (+ y z)) (neg y)))))
(/ 1 (* y (pow (/ y (+ y z)) (neg y))))
(* y (pow (/ y (+ y z)) (neg y)))
(pow (/ y (+ y z)) (neg y))
(/ 1 y)
(/ (+ (* y x) 1) y)
(+ (* y x) 1)
(+ x (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y))
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z z) (/ (* z z) y))
(- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z))
(/ (- 1 (+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)) y)
(+ (* -1/2 (+ (* z z) (/ (* z z) y))) z)
(/ y (+ y z))
(+ (* z -1/6) 1/2)
(/ (* z z) y)
(* z z)
Outputs
(+.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))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) 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 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) 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 (/.f64 (pow.f64 (/.f64 (+.f64 y z) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (/.f64 (+.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 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))))))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y))))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (-.f64 (*.f64 x x) (/.f64 x (*.f64 y (pow.f64 (/.f64 (+.f64 y z) y) y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (*.f64 x x)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64)))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (+.f64 y z) y) (+.f64 y y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (/.f64 (+.f64 y z) y) (*.f64 y #s(literal 3 binary64))))))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/36 binary64)) (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)) #s(literal 1/4 binary64))) (*.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))))
(/.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 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal -1/12 binary64)))))))
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(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (*.f64 (log.f64 y) #s(literal -1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))
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(*.f64 (*.f64 z (neg.f64 z)) (/.f64 #s(literal -1 binary64) y))
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(*.f64 z z)
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(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))

simplify498.0ms (4.6%)

Memory
-0.1MiB live, 735.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 950×accelerator-lowering-fma.f32
8 950×accelerator-lowering-fma.f64
6 224×*-lowering-*.f32
6 224×*-lowering-*.f64
5 978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08918335
128507408
084696979
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
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(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
x
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
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(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
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(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* 1/2 (/ (* z (+ 1 (/ 1 y))) y)) (/ 1 y))) (/ 1 y))
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y))
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(* 1/2 (/ (* (pow z 2) (+ 1 (/ 1 y))) y))
(* (pow z 2) (- (* 1/2 (/ (+ 1 (/ 1 y)) y)) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ (+ 1 (/ 1 y)) y))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (- 1 (+ z (* -1/2 (pow z 2)))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (- 1 (+ z (* -1/2 (pow z 2)))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (- 1 (+ z (* -1/2 (pow z 2)))))) (pow y 2))
(/ (- 1 (+ z (* -1/2 (pow z 2)))) y)
(/ (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2)))) y)
(/ (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2)))) y)
(/ (- (+ 1 (* 1/2 (/ (pow z 2) y))) (+ z (* -1/2 (pow z 2)))) y)
(/ (- 1 (+ z (* -1/2 (pow z 2)))) y)
(* -1 (/ (+ (* -1 (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (/ (pow z 2) y))) y))
(* -1 (/ (+ (* -1 (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (/ (pow z 2) y))) y))
(* -1 (/ (+ (* -1 (- 1 (+ z (* -1/2 (pow z 2))))) (* -1/2 (/ (pow z 2) y))) y))
z
(* z (+ 1 (* -1/2 (* z (+ 1 (/ 1 y))))))
(* z (+ 1 (* -1/2 (* z (+ 1 (/ 1 y))))))
(* z (+ 1 (* -1/2 (* z (+ 1 (/ 1 y))))))
(* -1/2 (* (pow z 2) (+ 1 (/ 1 y))))
(* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))
(* -1/2 (* (pow z 2) (+ 1 (/ 1 y))))
(* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (+ (* -1/2 (+ 1 (/ 1 y))) (/ 1 z)))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (* y (+ z (* -1/2 (pow z 2))))) y)
(/ (+ (* -1/2 (pow z 2)) (* y (+ z (* -1/2 (pow z 2))))) y)
(/ (+ (* -1/2 (pow z 2)) (* y (+ z (* -1/2 (pow z 2))))) y)
(+ z (* -1/2 (pow z 2)))
(+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))
(+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))
(+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))
(+ z (* -1/2 (pow z 2)))
(+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))
(+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))
(+ z (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
1
(+ 1 (* -1 (/ z y)))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
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)))))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
Outputs
(/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z))))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y)))))
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(+ x (/ 1 (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
x
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
x
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(* x (+ 1 (/ 1 (* x (* y (exp (* -1 (* y (log (/ y (+ y z)))))))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 y z))) (neg.f64 y))))) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (- x (* -1 (+ (log y) (log (/ 1 z))))))) y)
(/.f64 (fma.f64 y (+.f64 x (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64)) y)
(/ (+ 1 (* y (- (+ x (* -1 (* y (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)
(/.f64 (fma.f64 y (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (+.f64 x (-.f64 (log.f64 y) (log.f64 z)))) #s(literal 1 binary64)) y)
(/ (+ 1 (* y (- (+ x (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* -1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* (+ (log y) (log (/ 1 z))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (* (+ (log y) (log (/ 1 z))) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))) (* -1 (+ (log y) (log (/ 1 z))))))) y)
(/.f64 (fma.f64 y (+.f64 (fma.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (-.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)))) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z))) x) (-.f64 (log.f64 y) (log.f64 z))) #s(literal 1 binary64)) y)
x
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))))
(+ x (+ (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))) (/ 1 (* y (exp z)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (*.f64 (*.f64 y (exp.f64 z)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))))
(- (+ x (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp z))) (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))))) (pow y 3))) (/ 1 (* y (exp z))))) (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* (pow y 2) (exp z)))))
(+.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (exp.f64 z)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -2 binary64))) (exp.f64 z))) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (*.f64 (*.f64 y (exp.f64 z)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))))
x
(+ x (/ 1 (* y (exp z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z))))
(+ x (* -1 (/ (- (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp z)))) (/ 1 (exp z))) y)))
(-.f64 x (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (*.f64 y (exp.f64 z))) (exp.f64 (neg.f64 z))) y))
(+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp z))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (exp z))))) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (exp z)))) y)) (/ 1 (exp z))) y)))
(-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z z)) (exp.f64 z)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (exp.f64 z)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z)))) (exp.f64 z))) y)) (neg.f64 y)) (exp.f64 (neg.f64 z))) y))
(+ 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 (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 (/.f64 #s(literal 1 binary64) 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)) x))
(+ x (+ (* z (- (* z (+ (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 y))) y)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 y))))))) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(fma.f64 z (fma.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)))) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))))
(+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))
(+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (/.f64 y (*.f64 z (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))))))
(- (+ x (+ (* -1 (/ (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (pow z 2))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (*.f64 z z))) (-.f64 x (/.f64 y (*.f64 z (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))))))
(- (+ x (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ (* -1 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/2 (/ (pow y 3) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (+ (* -1 (/ (* y (+ (* -1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))) (* 1/6 (/ (pow y 5) (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))))) (pow z 3))) (/ 1 (* y (exp (* -1 (* y (+ (log y) (log (/ 1 z)))))))))) (+ (* -1 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (+ (* 1/2 (/ (pow y 3) (* (pow z 2) (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))) (/ y (* z (exp (* -1 (* y (+ (log y) (log (/ 1 z))))))))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y #s(literal 5 binary64)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))))) (/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (*.f64 (*.f64 y y) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))))) (*.f64 z (*.f64 z z)))) (-.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 z z) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z z) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))) (/.f64 y (*.f64 z (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z z) (exp.f64 (*.f64 (-.f64 (log.f64 y) (log.f64 z)) (neg.f64 y))))))))
(+ x (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z)))))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (neg.f64 (*.f64 y (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))))
(+ x (+ (* -1 (/ y (* z (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) (/ 1 (* y (exp (* -1 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))))
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(* z (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)))
(* z (- (* 1/2 (/ 1 z)) 1/6))
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/6 binary64)))
(* -1/6 z)
(*.f64 z #s(literal -1/6 binary64))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(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)

eval176.0ms (1.6%)

Memory
17.0MiB live, 353.6MiB allocated
Compiler

Compiled 28 861 to 3 431 computations (88.1% saved)

prune202.0ms (1.9%)

Memory
-16.5MiB live, 349.5MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 08281 090
Fresh4610
Picked415
Done022
Total1 090171 107
Accuracy
100.0%
Counts
1 107 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.6%
(/.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)
▶30.1%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
▶35.9%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
36.8%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
54.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
31.3%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z z)) y) z)) y)
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
42.3%
(/.f64 (*.f64 y x) y)
9.5%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
▶3.4%
(/.f64 (neg.f64 z) y)
34.4%
(/.f64 (exp.f64 (neg.f64 z)) y)
✓39.6%
(/.f64 #s(literal 1 binary64) y)
✓89.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
46.5%
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
51.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y)))))
▶78.5%
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓52.9%
x
Compiler

Compiled 392 to 256 computations (34.7% saved)

simplify304.0ms (2.8%)

Memory
-9.3MiB live, 430.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
✓cost-diff64
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)
✓cost-diff320
(*.f64 #s(literal 1 binary64) x)
✓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
(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))
✓cost-diff0
(/.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)
✓cost-diff0
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓cost-diff0
(neg.f64 z)
✓cost-diff0
(/.f64 (neg.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
7 422×accelerator-lowering-fma.f32
7 422×accelerator-lowering-fma.f64
3 006×*-lowering-*.f32
3 006×*-lowering-*.f64
2 026×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036180
191178
2198178
3326176
4606176
51365176
63718176
76242176
08120159
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)
(neg z)
z
y
(/ (+ (* z (+ (* z 1/2) -1)) 1) y)
(+ (* z (+ (* z 1/2) -1)) 1)
z
(+ (* z 1/2) -1)
1/2
-1
1
y
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
z
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
-1/6
1/2
-1
1
y
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x x) (/ (- (/ 1 y) (* 1 x)) 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 x)) y))
(/ (- (/ 1 y) (* 1 x)) y)
(- (/ 1 y) (* 1 x))
(/ 1 y)
(* 1 x)
Outputs
(* (+ (* x y) 1) (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+ (* x y) 1)
(fma.f64 x y #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))
(neg z)
(neg.f64 z)
z
y
(/ (+ (* z (+ (* z 1/2) -1)) 1) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* z (+ (* z 1/2) -1)) 1)
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
z
(+ (* z 1/2) -1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
y
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(/.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)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 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))
z
(+ (* 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)
1
#s(literal 1 binary64)
y
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x x) (/ (- (/ 1 y) (* 1 x)) y)))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x x) (/.f64 (fma.f64 x y #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 x)) y))
(-.f64 (*.f64 x x) (/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 y y)))
(/ (- (/ 1 y) (* 1 x)) y)
(/.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 y (neg.f64 y)))
(- (/ 1 y) (* 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1 x)
x

localize117.0ms (1.1%)

Memory
7.8MiB live, 283.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
✓accuracy98.0%
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y))
✓accuracy97.1%
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
✓accuracy41.7%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) y)))
✓accuracy100.0%
(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))
✓accuracy99.9%
(fma.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))
✓accuracy94.0%
(/.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)
✓accuracy100.0%
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓accuracy94.0%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓accuracy100.0%
(/.f64 (neg.f64 z) y)
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(fma.f64 x y #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy84.1%
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
Samples
68.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 184 to 38 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 18.0ms (39.7% of total)
ival-div: 11.0ms (24.2% of total)
ival-add: 9.0ms (19.8% of total)
const: 5.0ms (11% of total)
ival-sub: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% 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)

series27.0ms (0.2%)

Memory
10.4MiB live, 48.2MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#<alt (* (+ (* x y) 1) (/ 1 y))>
#<alt (+ (* x y) 1)>
#<alt (/ 1 y)>
#<alt (/ (neg z) y)>
#<alt (neg z)>
#<alt (/ (+ (* z (+ (* z 1/2) -1)) 1) y)>
#<alt (+ (* z (+ (* z 1/2) -1)) 1)>
#<alt (+ (* z 1/2) -1)>
#<alt (/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)>
#<alt (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)>
#<alt (+ (* z (+ (* z -1/6) 1/2)) -1)>
#<alt (+ (* z -1/6) 1/2)>
#<alt (* 1 x)>
#<alt (/ (- (/ 1 y) (* 1 x)) y)>
#<alt (/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x x) (/ (- (/ 1 y) (* 1 x)) y)))>
#<alt (+ (* x (* x x)) (/ 1 (* y (* y y))))>
#<alt (+ (* x x) (/ (- (/ 1 y) (* 1 x)) y))>
#<alt (/ 1 (* y (* y y)))>
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 (* -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 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<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 (* -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)))) (+ (* 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 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) 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 (* -1/6 (pow z 3))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))>
#<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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* x y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* x y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* x y))) (pow y 2))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (/ 1 y)) y)>
#<alt (/ (+ (* -1 x) (/ 1 y)) y)>
#<alt (/ (+ (* -1 x) (/ 1 y)) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (- x (/ 1 y)) y))>
#<alt (* -1 (/ (- x (/ 1 y)) y))>
#<alt (* -1 (/ (- x (/ 1 y)) y))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (/ x y)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (/ x y)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (/ x y)) (/ 1 (pow y 2)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))>
#<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 (/ 1 (pow y 2))>
#<alt (+ (* -1 (/ x y)) (/ 1 (pow y 2)))>
#<alt (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* x y))) (pow y 2))>
#<alt (/ (+ 1 (* y (- (* (pow x 2) y) x))) (pow y 2))>
#<alt (/ (+ 1 (* y (- (* (pow x 2) y) x))) (pow y 2))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ x y)) (pow x 2))>
#<alt (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))>
#<alt (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ x y)) (pow x 2))>
#<alt (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))>
#<alt (+ (* -1 (/ (- x (/ 1 y)) y)) (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))>
Calls

81 calls:

TimeVariablePointExpression
12.0ms
x
@inf
(/ (- (/ 1 y) (* 1 x)) y)
1.0ms
x
@inf
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x x) (/ (- (/ 1 y) (* 1 x)) y)))
1.0ms
y
@0
(/ (+ (* z (+ (* z 1/2) -1)) 1) y)
1.0ms
y
@inf
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x x) (/ (- (/ 1 y) (* 1 x)) y)))
0.0ms
y
@inf
(/ (neg z) y)

rewrite441.0ms (4.1%)

Memory
6.0MiB live, 707.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 620×accelerator-lowering-fma.f32
5 620×accelerator-lowering-fma.f64
4 106×/-lowering-/.f32
4 106×/-lowering-/.f64
3 906×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036142
1245136
22119122
08177105
Stop Event
1×iter limit
1×node limit
Counts
18 → 715
Calls
Call 1
Inputs
(* (+ (* x y) 1) (/ 1 y))
(+ (* x y) 1)
(/ 1 y)
(/ (neg z) y)
(neg z)
(/ (+ (* z (+ (* z 1/2) -1)) 1) y)
(+ (* z (+ (* z 1/2) -1)) 1)
(+ (* z 1/2) -1)
(/ (+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1) y)
(+ (* z (+ (* z (+ (* z -1/6) 1/2)) -1)) 1)
(+ (* z (+ (* z -1/6) 1/2)) -1)
(+ (* z -1/6) 1/2)
(* 1 x)
(/ (- (/ 1 y) (* 1 x)) y)
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (* x x) (/ (- (/ 1 y) (* 1 x)) y)))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
(+ (* x x) (/ (- (/ 1 y) (* 1 x)) y))
(/ 1 (* y (* y y)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y x #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) y))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (fma.f64 y x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) (/.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 y x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x) (/.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 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 y x) (/.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 y x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 y x) (/.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 y x)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (*.f64 y (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) y))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (*.f64 y (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (*.f64 y (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (neg.f64 (*.f64 y (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)))) (neg.f64 (*.f64 y (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x #s(literal 1 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y x #s(literal -1 binary64))))
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(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (fma.f64 x x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y))) (-.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y)))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -3 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(/.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 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 (*.f64 y y))))
(pow.f64 y #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 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 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 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)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y))

simplify364.0ms (3.4%)

Memory
-5.7MiB live, 607.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 956×accelerator-lowering-fma.f32
7 956×accelerator-lowering-fma.f64
3 360×*-lowering-*.f32
3 360×*-lowering-*.f64
2 494×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02382292
16912245
221592187
365142187
082852045
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 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 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(* 1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))
(* 1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* 1/2 z) 1)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))
(* 1/2 (pow z 2))
(* (pow z 2) (- 1/2 (/ 1 z)))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
-1
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(- (* 1/2 z) 1)
(* 1/2 z)
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* z (- 1/2 (/ 1 z)))
(* 1/2 z)
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(* -1 (* z (- (/ 1 z) 1/2)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(* -1/6 (/ (pow z 3) y))
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(* (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)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
(* -1/6 (/ (pow z 3) y))
(* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(* -1/6 (pow z 3))
(* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))
(* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))
(* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))
(* -1/6 (pow z 3))
(* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))
(* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))
-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)
(* 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)))))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(* -1 (/ x y))
(/ (+ (* -1 x) (/ 1 y)) y)
(/ (+ (* -1 x) (/ 1 y)) y)
(/ (+ (* -1 x) (/ 1 y)) y)
(* -1 (/ x y))
(* -1 (/ (- x (/ 1 y)) y))
(* -1 (/ (- x (/ 1 y)) y))
(* -1 (/ (- x (/ 1 y)) y))
(/ 1 (pow y 2))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(* -1 (/ x y))
(* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))
(* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))
(* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))
(/ 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))
(/ 1 (pow y 2))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))
(+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/ (+ 1 (* y (- (* (pow x 2) y) x))) (pow y 2))
(/ (+ 1 (* y (- (* (pow x 2) y) x))) (pow y 2))
(pow x 2)
(+ (* -1 (/ x y)) (pow x 2))
(+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))
(+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))
(pow x 2)
(+ (* -1 (/ x y)) (pow x 2))
(+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))
(+ (* -1 (/ (- x (/ 1 y)) y)) (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))
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 (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
#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))))
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(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))))
(* -1 (* z (- 1/6 (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ (* -1 x) (/ 1 y)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/ (+ (* -1 x) (/ 1 y)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/ (+ (* -1 x) (/ 1 y)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ (- x (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ (- x (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ (- x (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* x (- (/ 1 (* x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x (pow y 2))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* x (+ 1 (* -1 (* x (+ y (* -1 y)))))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* x (+ 1 (* x (- (* -1 (* x (* y (+ y (* -1 y))))) (+ y (* -1 y)))))) (/ 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 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(/ (+ 1 (* y (- (* y (- (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) 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 (pow y 3))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(fma.f64 x (*.f64 x x) (/.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 x 3) (pow y 3))) (pow y 3))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(+ (/ 1 (pow y 3)) (pow x 3))
(fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(fma.f64 x x (/.f64 x (neg.f64 y)))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(fma.f64 x x (/.f64 x (neg.f64 y)))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y y))
(/ (+ 1 (* y (- (* (pow x 2) y) x))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y y))
(/ (+ 1 (* y (- (* (pow x 2) y) x))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(+ (* -1 (/ x y)) (pow x 2))
(fma.f64 x x (/.f64 x (neg.f64 y)))
(+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(pow x 2)
(*.f64 x x)
(+ (* -1 (/ x y)) (pow x 2))
(fma.f64 x x (/.f64 x (neg.f64 y)))
(+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))
(fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) 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 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)))

eval137.0ms (1.3%)

Memory
0.1MiB live, 315.3MiB allocated
Compiler

Compiled 26 449 to 2 460 computations (90.7% saved)

prune233.0ms (2.1%)

Memory
21.1MiB live, 263.9MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New1 05871 065
Fresh099
Picked235
Done033
Total1 060221 082
Accuracy
100.0%
Counts
1 082 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓31.6%
(/.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)
31.6%
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓30.1%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
15.9%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
36.8%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
54.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
31.3%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z z)) y) z)) y)
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
8.2%
(/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
9.5%
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
8.2%
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) y)
42.3%
(/.f64 (*.f64 y x) y)
9.5%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
✓3.4%
(/.f64 (neg.f64 z) y)
34.4%
(/.f64 (exp.f64 (neg.f64 z)) y)
✓39.6%
(/.f64 #s(literal 1 binary64) y)
✓89.3%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
46.5%
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
51.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y)))))
42.1%
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y))
3.4%
(*.f64 z (/.f64 #s(literal -1 binary64) y))
✓52.9%
x
Compiler

Compiled 663 to 301 computations (54.6% saved)

regimes68.0ms (0.6%)

Memory
12.2MiB live, 87.1MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.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 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(+.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 -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
(/.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 (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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 z z))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(+.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))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z z)) y) z)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(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 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) 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))
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y z) (neg.f64 y)))))
(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
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:

19.0ms
z
14.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
11.0ms
y
11.0ms
x
11.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
89.3%1x
99.9%3y
93.2%3z
91.1%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)

regimes46.0ms (0.4%)

Memory
-26.3MiB live, 51.2MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.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 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(+.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 -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
(/.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 (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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 z z))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(+.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))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z z)) y) z)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(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 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) 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))
(/.f64 (exp.f64 (neg.f64 z)) y)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (exp.f64 (neg.f64 z)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

3 calls:

19.0ms
y
16.0ms
z
9.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
93.2%3z
89.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
91.2%2y
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.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 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(+.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 -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(/.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -1/6 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z (*.f64 z #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y))
(/.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 (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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (*.f64 z z))
(*.f64 z (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y))
(+.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))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z z (/.f64 (*.f64 z z) y)) z)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z z)) y) z)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(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 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) 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))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

1 calls:

9.0ms
z
Results
AccuracySegmentsBranch
93.1%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.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 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) y)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y x)) x)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
Outputs
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
91.5%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.3%)

Memory
2.9MiB live, 40.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.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))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

5 calls:

17.0ms
z
3.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
3.0ms
x
3.0ms
y
3.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
89.3%1x
89.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
89.3%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
89.3%1y
89.3%1z
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes49.0ms (0.4%)

Memory
-16.0MiB live, 18.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 z) y)
Outputs
x
(/.f64 #s(literal 1 binary64) y)
x
Calls

5 calls:

41.0ms
(/.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
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
63.6%4z
68.5%3x
76.1%3y
56.4%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
73.4%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
18.5MiB live, 18.5MiB 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 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
52.9%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
52.9%1z
52.9%1x
52.9%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
52.9%1y
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch52.0ms (0.5%)

Memory
-55.7MiB live, 45.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
16.0ms
7.247454160629902e-28
8.032254982767965e-26
33.0ms
-1.6359562454978164e+26
-266100504472298500.0
Samples
28.0ms18×1valid
11.0ms142×0valid
3.0ms41×0invalid
Compiler

Compiled 219 to 166 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 25.0ms (68.8% of total)
ival-log: 4.0ms (11% of total)
ival-div: 3.0ms (8.3% of total)
ival-add: 2.0ms (5.5% of total)
ival-mult: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch81.0ms (0.8%)

Memory
13.5MiB live, 92.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-3.591437794052378e+56
-1.3213948881535027e+56
44.0ms
-1.7373574116234561e+208
-6.397418009213499e+205
Samples
51.0ms91×1valid
9.0ms117×0valid
7.0ms103×0invalid
Compiler

Compiled 253 to 198 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-log: 29.0ms (63.7% of total)
ival-div: 6.0ms (13.2% of total)
ival-add: 4.0ms (8.8% of total)
ival-exp: 3.0ms (6.6% of total)
ival-mult: 3.0ms (6.6% of total)
adjust: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch166.0ms (1.5%)

Memory
-5.8MiB live, 75.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
116.0ms
-3.0105617551092886e+109
-1.3419228713637217e+101
45.0ms
-1.7373574116234561e+208
-6.397418009213499e+205
Samples
45.0ms112×1valid
13.0ms160×0valid
9.0ms121×0invalid
Compiler

Compiled 393 to 288 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 22.0ms (40.5% of total)
ival-log: 16.0ms (29.4% of total)
ival-div: 7.0ms (12.9% of total)
ival-exp: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
adjust: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
24.8MiB live, 24.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-2.1091418297222235e+154
-4.617069930739484e+146
Samples
17.0ms68×1valid
6.0ms76×0valid
3.0ms44×0invalid
Compiler

Compiled 190 to 142 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 9.0ms (45% of total)
ival-div: 4.0ms (20% of total)
ival-exp: 2.0ms (10% of total)
ival-mult: 2.0ms (10% of total)
ival-add: 2.0ms (10% of total)
adjust: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch175.0ms (1.6%)

Memory
-29.6MiB live, 47.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
7.247454160629902e-28
8.032254982767965e-26
75.0ms
-7.856948244013677e+43
-1.0773456444748023e+43
Samples
15.0ms60×1valid
12.0ms148×0valid
3.0ms46×0invalid
Compiler

Compiled 175 to 146 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 8.0ms (35.6% of total)
ival-div: 5.0ms (22.2% of total)
ival-add: 3.0ms (13.3% of total)
ival-exp: 3.0ms (13.3% of total)
ival-mult: 2.0ms (8.9% of total)
adjust: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
1×egg-herbie
Rules
8×if-if-or-not_binary32
6×*-commutative_binary64
6×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04497
16697
26897
36997
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -40000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1742245718635205/21778071482940061661655974875633165533184 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 z #s(literal -4149999999999999947543942885976411116120676828549727699003462576042941967109823939139295109820172115109385072443775986967298319111253816120108728425209004856615535967919813082787257555380302232967145225977856 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 z #s(literal -135000000000000004784557716964539039833855314144566181888 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 z #s(literal -17199999999999998958054302270397074028047454741165499458539319487112928650577008031021566381300944698902846929639613769121879255064520519096226888646269008396214753941339793695167427513817466468645603301654528 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 z #s(literal -5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 z #s(literal -2500000000000000122441816437876301448930567508826859721862605936475420658983461890403078823118191159482782661703775691905133582296656463042755690496 binary64)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 y #s(literal -13500000000000000992813383430706212510892032 binary64)) x (if (<=.f64 y #s(literal 5923635443359697/348449143727040986586495598010130648530944 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x
Outputs
(if (<=.f64 y #s(literal -40000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1742245718635205/21778071482940061661655974875633165533184 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -40000000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1742245718635205/21778071482940061661655974875633165533184 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 z #s(literal -4149999999999999947543942885976411116120676828549727699003462576042941967109823939139295109820172115109385072443775986967298319111253816120108728425209004856615535967919813082787257555380302232967145225977856 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 z #s(literal -135000000000000004784557716964539039833855314144566181888 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 z #s(literal -4149999999999999947543942885976411116120676828549727699003462576042941967109823939139295109820172115109385072443775986967298319111253816120108728425209004856615535967919813082787257555380302232967145225977856 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 z #s(literal -135000000000000004784557716964539039833855314144566181888 binary64)) (/.f64 (exp.f64 (neg.f64 z)) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 z #s(literal -17199999999999998958054302270397074028047454741165499458539319487112928650577008031021566381300944698902846929639613769121879255064520519096226888646269008396214753941339793695167427513817466468645603301654528 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 z #s(literal -5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 z #s(literal -17199999999999998958054302270397074028047454741165499458539319487112928650577008031021566381300944698902846929639613769121879255064520519096226888646269008396214753941339793695167427513817466468645603301654528 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 z #s(literal -5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 z z))) y) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 z #s(literal -2500000000000000122441816437876301448930567508826859721862605936475420658983461890403078823118191159482782661703775691905133582296656463042755690496 binary64)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 z #s(literal -2500000000000000122441816437876301448930567508826859721862605936475420658983461890403078823118191159482782661703775691905133582296656463042755690496 binary64)) (/.f64 (fma.f64 y x #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 y #s(literal -13500000000000000992813383430706212510892032 binary64)) x (if (<=.f64 y #s(literal 5923635443359697/348449143727040986586495598010130648530944 binary64)) (/.f64 #s(literal 1 binary64) y) x))
x

soundness958.0ms (8.8%)

Memory
-6.4MiB live, 518.5MiB allocated
Rules
16 194×accelerator-lowering-fma.f32
16 194×accelerator-lowering-fma.f64
9 370×accelerator-lowering-fma.f32
9 370×accelerator-lowering-fma.f64
8 950×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912248
15342224
214792074
345802010
477702010
083231904
06034108
118143482
260863379
082183225
08918335
128507408
084696979
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 252 to 144 computations (42.9% saved)

preprocess79.0ms (0.7%)

Memory
21.0MiB live, 137.2MiB allocated
Compiler

Compiled 324 to 148 computations (54.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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