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

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze370.0ms (4.1%)

Memory
16.5MiB live, 355.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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)

sample2.7s (29.9%)

Memory
5.8MiB live, 3 768.5MiB allocated
Samples
1.3s2 250×1valid
802.0ms6 006×0valid
143.0ms934×0invalid
3.0ms25×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-log: 924.0ms (51.1% of total)
ival-div: 259.0ms (14.3% of total)
ival-exp: 209.0ms (11.6% of total)
ival-mult: 167.0ms (9.2% of total)
ival-add: 159.0ms (8.8% of total)
adjust: 77.0ms (4.3% of total)
ival-true: 8.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain267.0ms (2.9%)

Memory
28.6MiB live, 348.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13737(1.4150443935564468e-103 -5.491150789788134e+177 2.45298918752357e-190)2(2.8815042294031535e+29 9.724698178006354e-299 5.223675588998716e+24)(log.f64 (/.f64 y (+.f64 z y)))
400-4(-6.623247564941864e+299 4.241785991443806e+77 -1.190150092024816e-240)(*.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)))sensitivity1570
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue120
(log.f64 (/.f64 y (+.f64 z y)))underflow36
(/.f64 y (+.f64 z y))underflow15
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u80
Confusion
Predicted +Predicted -
+353
-13484
Precision
0.20710059171597633
Recall
0.9210526315789473
Confusion?
Predicted +Predicted MaybePredicted -
+3503
-134084
Precision?
0.20710059171597633
Recall?
0.9210526315789473
Freqs
test
numberfreq
087
1161
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms240×1valid
61.0ms58×2valid
21.0ms214×0valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-log: 45.0ms (45.8% of total)
ival-add: 19.0ms (19.4% of total)
ival-div: 13.0ms (13.2% of total)
ival-exp: 8.0ms (8.1% of total)
adjust: 7.0ms (7.1% of total)
ival-mult: 6.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess151.0ms (1.7%)

Memory
-24.1MiB live, 122.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051132
1109112
2234110
3642110
42078110
01013
01713
12511
24211
38911
427511
5210611
6544411
0928311
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.4%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify123.0ms (1.4%)

Memory
9.6MiB live, 156.2MiB allocated
Algorithm
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-diff2
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12552
24252
38952
427552
5210652
6544452
0928352
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z
Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z

localize71.0ms (0.8%)

Memory
0.5MiB live, 90.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy0.0078125
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy9.054031995098294
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy30.765688242963034
(log.f64 (/.f64 y (+.f64 z y)))
Samples
36.0ms120×1valid
17.0ms29×2valid
9.0ms107×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 22.0ms (44.6% of total)
ival-add: 10.0ms (20.3% of total)
ival-div: 6.0ms (12.2% of total)
adjust: 4.0ms (8.1% of total)
ival-exp: 4.0ms (8.1% of total)
ival-mult: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-5.2MiB live, 47.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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)))))))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(+ (log y) (log (/ 1 z)))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow 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)))))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ 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)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 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))))
(+ (* -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)))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) 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)
(/ (+ (* -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)
(+ (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)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ 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)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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))
(* -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))
(+ (* -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)))
(+ (* -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)))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) 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))
(* -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))
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ 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)))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(* z (- (* 1/2 (/ z y)) 1))
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (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 (/ (* (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))))
(+ (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)))))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ 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))))))
(+ 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)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -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)))))
(+ (* -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))))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 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))))))
(+ (* -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)))))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+ (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)))))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (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)))
(+ (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)))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ 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)))
(+ 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)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
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(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 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)))))
(+ (* -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)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) 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))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
z
@inf
((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))))
6.0ms
x
@0
((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))))
5.0ms
y
@inf
((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))))
4.0ms
y
@-inf
((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))))
3.0ms
z
@-inf
((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))))

simplify191.0ms (2.1%)

Memory
7.7MiB live, 198.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05203630
118153110
086242958
Stop Event
iter limit
node limit
Counts
108 → 107
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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)))))))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(+ (log y) (log (/ 1 z)))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow 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))))
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(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ 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)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 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))))
(+ (* -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)))))
(* -1 (/ z y))
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(/ (+ (* -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)
(/ (+ (* -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)
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(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
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Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
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(/ (exp (* -1 z)) y)
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(* -1 z)
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64))) z)) z) (log.f64 (neg.f64 y))))

rewrite266.0ms (2.9%)

Memory
-8.8MiB live, 240.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
01747
16041
238041
3442541
0823041
Stop Event
iter limit
node limit
iter limit
Counts
5 → 228
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
Outputs
(*.f64 (pow.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 z y) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
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(-.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (log.f64 (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (log.f64 (*.f64 y (fma.f64 (-.f64 y z) y (*.f64 z z)))) (log.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y))))))
(-.f64 (log.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64))))) (log.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))))
(-.f64 (log.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(-.f64 (log.f64 (exp.f64 (log.f64 (neg.f64 y)))) (log.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 z y))))))
(-.f64 (log.f64 (exp.f64 (log.f64 y))) (log.f64 (exp.f64 (log.f64 (+.f64 z y)))))
(-.f64 (log.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y))) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 (+.f64 z y))))
(-.f64 (log.f64 y) (log.f64 (+.f64 z y)))
(+.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z)))) (log.f64 (-.f64 y z)))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (neg.f64 (-.f64 z y))))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(+.f64 (log.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)))) (log.f64 (neg.f64 (-.f64 z y))))
(+.f64 (log.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(+.f64 (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (-.f64 z y)))
(+.f64 (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(+.f64 (log.f64 (-.f64 z y)) (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))))
(+.f64 (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(log.f64 (/.f64 y (+.f64 z y)))

eval46.0ms (0.5%)

Memory
6.2MiB live, 97.2MiB allocated
Compiler

Compiled 12 420 to 1 764 computations (85.8% saved)

prune12.0ms (0.1%)

Memory
-30.2MiB live, 30.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32510335
Fresh000
Picked101
Done000
Total32610336
Accuracy
100.0%
Counts
336 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.4%
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
57.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
65.6%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
65.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
84.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
55.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
77.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
42.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
39.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 454 to 316 computations (30.4% saved)

simplify119.0ms (1.3%)

Memory
43.9MiB live, 134.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
cost-diff0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
cost-diff0
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
cost-diff0
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 y (+.f64 z y))
cost-diff0
(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff0
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038311
060311
182299
2119299
3219299
4589299
54184299
66628299
09061299
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z)
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
x
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(neg.f64 z)
z
y
Outputs
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z)
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)
x
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(neg.f64 z)
z
y

localize331.0ms (3.6%)

Memory
-33.1MiB live, 251.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy0.00390625
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy0.0078125
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy24.16672266408657
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
accuracy0.14453125
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
accuracy1.4665377958362331
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
accuracy3.9463090698455545
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z)
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.00390625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
accuracy0.0078125
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
accuracy26.6124600486989
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy38.625112600921476
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy0.0
(+.f64 z y)
accuracy0.00390625
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy0.0078125
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
accuracy12.577596356419349
(pow.f64 (/.f64 y (+.f64 z y)) y)
Samples
155.0ms120×1valid
94.0ms29×2valid
22.0ms107×0valid
Compiler

Compiled 244 to 29 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-pow: 67.0ms (35.1% of total)
ival-log: 66.0ms (34.5% of total)
ival-div: 18.0ms (9.4% of total)
adjust: 10.0ms (5.2% of total)
ival-mult: 8.0ms (4.2% of total)
ival-exp: 8.0ms (4.2% of total)
ival-add: 8.0ms (4.2% of total)
ival-sub: 4.0ms (2.1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
21 → 140
Calls
Call 1
Inputs
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
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Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ z y) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ (/ 1/2 y) y))
3.0ms
z
@-inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ z y) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ (/ 1/2 y) y))
3.0ms
y
@-inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ z y) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ (/ 1/2 y) y))
3.0ms
y
@inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ z y) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ (/ 1/2 y) y))
3.0ms
z
@0
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ z y) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ (/ 1/2 y) y))

simplify200.0ms (2.2%)

Memory
-4.9MiB live, 187.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06103823
121183375
085323221
Stop Event
iter limit
node limit
Counts
140 → 137
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
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1
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z
(+ y z)
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y
(* y (+ 1 (/ z y)))
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(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (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)))
(+ (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)))
(* -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 (* z (- 1 (/ 1 z))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 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)))))
(+ (* -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)))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 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)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) y)
(/ (+ 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)
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (neg.f64 z)))) y (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) (/.f64 y z))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.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 (neg.f64 y) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 y z))
(* 1/2 (/ (pow z 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
(* 1/2 (/ z (pow y 2)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y y))
(* y (+ (log y) (log (/ 1 z))))
(*.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y)
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(*.f64 (-.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) (/.f64 y z)) y)
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y)
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) y) (/.f64 #s(literal 1 binary64) z)) y (+.f64 (neg.f64 (log.f64 z)) (log.f64 y))) y)
z
(+ y z)
(+.f64 z y)
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(+ x (/ (exp (* -1 z)) y))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) x)
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) x))
(+ 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)))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (exp.f64 (neg.f64 z)) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) x))
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 z))) 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)))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) y) (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 z)))) y)
(/ (+ (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)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 z))) (/.f64 (*.f64 z z) y) (fma.f64 (exp.f64 (neg.f64 z)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 z z)) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 y y))) (exp.f64 (neg.f64 z)))) y)
(exp (* -1 z))
(exp.f64 (neg.f64 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 z)))
(+ (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))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) y) (/.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 z))))
(+ (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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 z))) (/.f64 (*.f64 z z) y) (fma.f64 (exp.f64 (neg.f64 z)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 z z)) (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 y y))) (exp.f64 (neg.f64 z))))
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(fma.f64 (/.f64 z y) (/.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z z) y) (/.f64 z y)))
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/ (- (* 1/2 z) 1) y)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (neg.f64 z))
(+ (* -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))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 #s(literal 1/6 binary64) y) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (neg.f64 z)))
(+ (* -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)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 #s(literal 1/6 binary64) y) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64) (neg.f64 z))))
y
(* y (+ 1 (/ z y)))
(fma.f64 (/.f64 z y) y y)
(* 1/2 (/ z y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) y)
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(-.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 z z) y)) (neg.f64 (exp.f64 (neg.f64 z)))) y))
(+ 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)))
(-.f64 x (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) y) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) y) (exp.f64 (neg.f64 z)))) y))
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(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
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(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
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(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
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(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z))))
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(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
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(+ (* -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 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y (/.f64 (*.f64 (neg.f64 y) y) 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 (*.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y (/.f64 (*.f64 (neg.f64 y) y) z))))
(* z (+ 1 (/ y z)))
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(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
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(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) (neg.f64 z))) z) #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) x))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y))
(+ (* -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))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) y))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) z) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y))
(+ (* -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))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) (neg.f64 z))) z) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 y y) (/.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 z))) z))
(+ (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)))
(-.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) y (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 z))) 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 (neg.f64 y) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 y y)) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 z)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 z z))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z (/.f64 z (*.f64 z y))))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (*.f64 (neg.f64 y) y) 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 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/2 binary64) (*.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)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (fma.f64 y y (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) z) #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 z))) (neg.f64 z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 z))

rewrite236.0ms (2.6%)

Memory
34.2MiB live, 344.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038273
060251
1234251
21605243
09213243
Stop Event
iter limit
node limit
iter limit
Counts
21 → 387
Calls
Call 1
Inputs
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
(+.f64 z y)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z)
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)))))))
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(*.f64 z (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y y)) z)) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) z)) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y y)))) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)))
(/.f64 (neg.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 (neg.f64 y) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y y)) z) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) z) (*.f64 y y))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z) y)
(/.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y))
(/.f64 (*.f64 z (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 z (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))) (*.f64 y y))
(/.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) y)
(/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (fabs.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (fabs.f64 y))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 y y)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))
(fabs.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(fabs.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))

eval175.0ms (1.9%)

Memory
0.3MiB live, 187.8MiB allocated
Compiler

Compiled 27 318 to 2 822 computations (89.7% saved)

prune22.0ms (0.2%)

Memory
-9.4MiB live, 52.6MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New55014564
Fresh505
Picked235
Done000
Total55717574
Accuracy
100.0%
Counts
574 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.9%
(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
40.6%
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))
57.9%
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
84.3%
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
64.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) y))
65.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
68.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
68.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
47.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
71.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
39.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
41.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
42.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) z))))
77.8%
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
25.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
39.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 1 164 to 702 computations (39.7% saved)

simplify156.0ms (1.7%)

Memory
27.5MiB live, 161.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
cost-diff2
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
cost-diff2
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
cost-diff0
(-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
cost-diff0
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
cost-diff1
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))
cost-diff0
(fabs.f64 y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
cost-diff0
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059669
091669
1145643
2254633
3473633
4961633
52859633
65243633
09977625
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
#s(literal 1 binary64)
(fabs.f64 y)
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))
#s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64))
#s(literal -1/2 binary64)
z
#s(literal 1 binary64)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z))
#s(literal 1 binary64)
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
(*.f64 z z)
Outputs
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y))
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
#s(literal 1 binary64)
(fabs.f64 y)
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))
#s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64))
#s(literal -1/2 binary64)
z
#s(literal 1 binary64)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y))))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y)))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y))))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y)))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z))
#s(literal 1 binary64)
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
(*.f64 z z)

localize297.0ms (3.3%)

Memory
-40.0MiB live, 259.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.107741374749677
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
accuracy4.203116743320824
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy23.673076179457563
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))
accuracy0.203125
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
accuracy1.4665377958362331
(fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
accuracy26.00446864502218
#s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z))
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
accuracy0.01171875
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))
accuracy1.4665377958362331
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))
accuracy16.983917843669033
#s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y)))
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y)))
accuracy0.0
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
accuracy0.0
(fabs.f64 y)
accuracy47.99643741503896
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
accuracy0.00390625
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
accuracy0.0078125
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
accuracy15.498637949644579
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
Samples
136.0ms106×1valid
52.0ms150×0valid
Compiler

Compiled 390 to 45 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-div: 49.0ms (30.8% of total)
ival-pow: 41.0ms (25.8% of total)
ival-mult: 20.0ms (12.6% of total)
ival-log: 18.0ms (11.3% of total)
adjust: 8.0ms (5% of total)
ival-add: 8.0ms (5% of total)
ival-sub: 7.0ms (4.4% of total)
ival-exp: 3.0ms (1.9% of total)
ival-fabs: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory
8.3MiB live, 51.6MiB allocated
Counts
23 → 125
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs.f64 y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))
#s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
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)))))))
(/ 1 (fabs y))
(fabs y)
(* -1 (/ (+ 1 (* -1/2 z)) y))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2))
(/ (+ 1/2 (* y (+ 1/2 (/ 1 (pow z 2))))) (pow y 2))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))
(* 1/2 (/ z y))
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2))
(/ (+ 1/2 (/ y (pow z 2))) (pow y 2))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ 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)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(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)))))
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/ (- (* 1/2 z) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)) y)
(/ (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)) y)
(/ (+ 1/2 (/ 1 (pow z 2))) y)
(/ (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) y)
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)
(/ (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) y)
(/ 1 (* y (pow z 2)))
(/ (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))) y)
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ 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)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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))
(* -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))
(+ (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 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))) y))
(* -1 (/ (- (/ 1 z) (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))))) y))
(* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))
(* -1 (/ (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2))))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))))) y))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ 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)))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(/ -1 y)
(- (* 1/2 (/ z y)) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/ (+ (* -1 (/ z y)) (/ 1 y)) (pow z 2))
(/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (pow z 2))
(/ (+ (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) (pow z 2))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(/ (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y)) (pow z 2))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ 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))))))
(+ 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)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -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)))))
(+ (* -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))))))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (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 (/ (* (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))))
(+ (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)))))
(* z (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))
(- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))
(- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))
(+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2)))))
(+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ 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)))
(+ 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)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -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))
(+ (* -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))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (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)))
(+ (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)))
(* -1 (* z (- (/ 1 (* y z)) (* 1/2 (/ 1 y)))))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
y
@-inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (fabs y)) (fabs y) (/ (+ (* -1/2 z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (* (/ 1/2 y) z) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))))
4.0ms
y
@inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (fabs y)) (fabs y) (/ (+ (* -1/2 z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (* (/ 1/2 y) z) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))))
4.0ms
y
@0
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (fabs y)) (fabs y) (/ (+ (* -1/2 z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (* (/ 1/2 y) z) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))))
4.0ms
z
@inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (fabs y)) (fabs y) (/ (+ (* -1/2 z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (* (/ 1/2 y) z) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))))
4.0ms
z
@-inf
((+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (fabs y)) (fabs y) (/ (+ (* -1/2 z) 1) (neg y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (* (/ 1/2 y) z) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))))

simplify188.0ms (2.1%)

Memory
2.6MiB live, 227.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04753442
116333058
273702970
088912845
Stop Event
iter limit
node limit
Counts
125 → 124
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
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(/ 1 (fabs y))
(fabs y)
(* -1 (/ (+ 1 (* -1/2 z)) y))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2))
(/ (+ 1/2 (* y (+ 1/2 (/ 1 (pow z 2))))) (pow y 2))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))
(* 1/2 (/ z y))
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2))
(/ (+ 1/2 (/ y (pow z 2))) (pow y 2))
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(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
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(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
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(exp (* -1 z))
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(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/ (- (* 1/2 z) 1) y)
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(/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (pow z 2))
(/ (+ (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) (pow z 2))
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(/ (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y)) (pow z 2))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
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(exp (* y (+ (log y) (log (/ 1 z)))))
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(* z (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
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(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) (neg.f64 y)) #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (neg.f64 (log.f64 z))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 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)
(/.f64 (fma.f64 (+.f64 (+.f64 (log.f64 y) x) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (neg.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)))) z)) y (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z))) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 z)) (log.f64 y)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
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(fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z))) y) (neg.f64 z))) z) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 y y)) (neg.f64 z)))
(+ (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)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) y (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 z))) (neg.f64 z)))
(+ (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)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) y (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) z))) (neg.f64 z))) (neg.f64 z)))
(* -1 (* z (- (/ 1 (* y z)) (* 1/2 (/ 1 y)))))
(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) y) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)) (*.f64 z z))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (neg.f64 z))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y))

rewrite224.0ms (2.5%)

Memory
-10.4MiB live, 246.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059548
091512
1372502
23085482
09398480
Stop Event
iter limit
node limit
iter limit
Counts
23 → 318
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(fabs.f64 y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))))
#s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)) (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)) (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x))
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(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)))
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(+.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y))
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(/.f64 (neg.f64 (neg.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)))) y)
(/.f64 (neg.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))) y)
(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
(neg.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y))
#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(fabs.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 y)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(log.f64 (exp.f64 y))
y
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) (pow.f64 y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64))))) y)
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)))) y)
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) y)))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal -3 binary64))) (*.f64 z z))) (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)) (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal -2 binary64))))) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)) (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal -2 binary64))) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal -3 binary64))) (*.f64 z z)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)) (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal -2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)))
(/.f64 (*.f64 (*.f64 z z) (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) y)) (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -1/2 binary64))) (*.f64 (*.f64 z y) z))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z))) (neg.f64 (*.f64 z y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) z))) (neg.f64 (*.f64 z (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) z))) (neg.f64 (*.f64 z (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 y (*.f64 (*.f64 (*.f64 z y) z) (/.f64 #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 (*.f64 (*.f64 z y) z) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)))
(/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -1/2 binary64))) (*.f64 (*.f64 z y) z)) (*.f64 y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) y))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 z) (*.f64 z y)) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (*.f64 z y))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 z (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 z (*.f64 y y)))
(/.f64 (-.f64 y (*.f64 (*.f64 (*.f64 z y) z) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (*.f64 z y) z) y))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -3 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)) (/.f64 (*.f64 (*.f64 (*.f64 z y) z) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z y) z) y) y)))
(-.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))

eval60.0ms (0.7%)

Memory
20.3MiB live, 151.1MiB allocated
Compiler

Compiled 29 302 to 2 438 computations (91.7% saved)

prune22.0ms (0.2%)

Memory
-2.4MiB live, 54.4MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New4287435
Fresh459
Picked325
Done033
Total43517452
Accuracy
100.0%
Counts
452 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.9%
(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
40.6%
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))
57.9%
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
84.3%
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
65.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
68.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
47.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
71.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
61.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))
42.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z) z))))
41.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
35.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
77.9%
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
23.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
39.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
2.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 1 119 to 662 computations (40.8% saved)

simplify169.0ms (1.9%)

Memory
5.9MiB live, 190.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
cost-diff2
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))
cost-diff0
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
cost-diff0
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))
cost-diff0
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))
cost-diff0
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff0
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
cost-diff0
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
cost-diff3
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070762
0100762
1173738
2408726
31406708
45704708
08012693
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 y y)
y
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))
(*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))
#s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (*.f64 z y) z)
(*.f64 z y)
y
(*.f64 z z)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
(*.f64 z z)
(*.f64 y y)
Outputs
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z)
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
#s(literal 1/2 binary64)
(*.f64 y y)
y
z
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 z z) #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) z) y))))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 z z) #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) z) y)))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 z z) #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) z) y))))
(*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))
(*.f64 (*.f64 z z) #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) z) y)))
#s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))
#s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) z) y))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (*.f64 z y) z)
(*.f64 z y)
y
(*.f64 z z)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y)) y) (*.f64 y y)))) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y)) y) (*.f64 y y))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y)) y) (*.f64 y y)))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
(/.f64 (fma.f64 z (fma.f64 #s(literal 1/2 binary64) z (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y)) y) (*.f64 y y))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) z (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) y)) y)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) z)
(*.f64 z z)
(*.f64 y y)

localize266.0ms (2.9%)

Memory
-23.7MiB live, 368.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
accuracy6.761679530773911
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
accuracy24.37675477464369
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))
accuracy7.238579353015246
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))
accuracy23.673076179457563
(*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))))
accuracy29.584180495369278
#s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))
accuracy4.220923634244697
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
accuracy7.855080048524969
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)
accuracy27.7050487024619
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))
accuracy45.875652897671415
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy62.71249553686394
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
accuracy0.00390625
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy0.14453125
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
accuracy6.199712574849017
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
accuracy12.577596356419349
(pow.f64 (/.f64 y (+.f64 z y)) y)
Samples
140.0ms106×1valid
65.0ms150×0valid
Compiler

Compiled 395 to 56 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-div: 46.0ms (26.2% of total)
ival-pow: 45.0ms (25.6% of total)
ival-mult: 33.0ms (18.8% of total)
ival-log: 16.0ms (9.1% of total)
ival-add: 12.0ms (6.8% of total)
ival-sub: 11.0ms (6.3% of total)
adjust: 10.0ms (5.7% of total)
ival-exp: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series95.0ms (1%)

Memory
41.8MiB live, 178.9MiB allocated
Counts
24 → 142
Calls
Call 1
Inputs
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))
(*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)
#s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(/ (pow (/ y (+ y z)) y) (* x y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ 1 (* x y))
(/ (+ (* y (+ (/ (log y) x) (/ (log (/ 1 z)) x))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (+ (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) (* x z))) (+ (* 1/6 (/ (pow (+ (log y) (log (/ 1 z))) 3) x)) (* 1/2 (/ 1 (* x (pow z 2)))))))) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(/ -1 y)
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2))
(* 1/2 (pow z 2))
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1)))))
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)))))))
(* 1/2 (/ z (pow y 2)))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2))
(/ (- 1 z) (* y (pow z 2)))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ 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)))))
(/ (exp (* -1 z)) (* x y))
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (/ (exp (* -1 z)) x)) y)
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (/ (* (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))))))) (* x (pow y 2))))) y)
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (+ (/ (* (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)))))))) (* x (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))))))) (* x (pow y 2)))))) y)
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/ (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) y)
(* y (+ 1 (* z (- (* 1/2 z) 1))))
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))))
(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)))))
(/ (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)) y)
(/ (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)) y)
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ 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)))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y)))) y))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1 (/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) x)) (/ (* (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)))) (* x y))) y))) y))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -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)))) x)) (/ (* (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)))))))) (* x y))) y)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) x))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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))
(* -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))
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y))
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y))
(* -1 (/ (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2))))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* (pow z 2) (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))))) y))
(* -1 (* y (+ (* -1 (+ 1 (* z (- (* 1/2 z) 1)))) (* -1/2 (/ (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 (/ (- (/ 1 z) (+ 1/2 (/ 1 (pow z 2)))) y))
(* -1 (/ (- (/ 1 z) (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2))))) y))
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* 1/2 z) 1)))) (* -1/2 (/ (pow z 2) y))) y))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ 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)))
(+ (* -1 (/ z (* x y))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* 1/2 (/ 1 (* x y))) (* 1/2 (/ 1 (* x (pow y 2)))))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* x y))) (+ (* 1/2 (/ 1 (* x y))) (* 1/2 (/ 1 (* x (pow y 2))))))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
y
(+ y (* -1 (* y z)))
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y))))))
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(/ 1 (* y (pow z 2)))
(/ (+ (* -1 (/ z y)) (/ 1 y)) (pow z 2))
(/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (pow z 2))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ 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))))))
(+ 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)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) (* x z))) (/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y)))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) (* x z))) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* x (* y (pow z 2))))))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) (* x z))) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x 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))))))))) (* x (* 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)))) (* x (* y (pow z 2)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -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)))))
(+ (* -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))))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (+ 1/2 (* 1/2 y)))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (* 1/2 y))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ y z)) (+ (* 1/2 y) (/ y (pow z 2))))))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (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 (/ (* (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))))
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(+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))
(- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z)))
(- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (* y (pow z 2))))) (/ 1 (* y z)))
(/ -1 (* y z))
(/ (- (/ 1 (* y z)) (/ 1 y)) z)
(/ (* (pow z 2) (+ 1/2 (* 1/2 y))) (pow y 2))
(* (pow z 2) (- (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (/ 1/2 y) (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ 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)))
(+ 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)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* x y))
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* x z))) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* x y)))
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(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -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))
(+ (* -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))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (+ y (* -1 (/ y z))) z)) (* 1/2 y))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (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)))
(+ (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)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z))
(* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (/ 1/2 y) (* 1/2 (/ 1 (pow y 2))))))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
x
@0
((+ (* (/ (/ (pow (/ y (+ z y)) y) y) x) x) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (* (/ 1/2 (* y y)) z) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (pow (/ y (+ z y)) y) (* (/ 1/2 (* y y)) z) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/ (- 1 z) (* (* z y) z)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2))
15.0ms
x
@inf
((+ (* (/ (/ (pow (/ y (+ z y)) y) y) x) x) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (* (/ 1/2 (* y y)) z) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (pow (/ y (+ z y)) y) (* (/ 1/2 (* y y)) z) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/ (- 1 z) (* (* z y) z)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2))
12.0ms
x
@-inf
((+ (* (/ (/ (pow (/ y (+ z y)) y) y) x) x) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (* (/ 1/2 (* y y)) z) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (pow (/ y (+ z y)) y) (* (/ 1/2 (* y y)) z) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/ (- 1 z) (* (* z y) z)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2))
7.0ms
y
@-inf
((+ (* (/ (/ (pow (/ y (+ z y)) y) y) x) x) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (* (/ 1/2 (* y y)) z) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (pow (/ y (+ z y)) y) (* (/ 1/2 (* y y)) z) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/ (- 1 z) (* (* z y) z)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2))
6.0ms
y
@inf
((+ (* (/ (/ (pow (/ y (+ z y)) y) y) x) x) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (* (/ 1/2 (* y y)) z) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (* (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (* z z)) (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (pow (/ y (+ z y)) y) (* (/ 1/2 (* y y)) z) (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/ (- 1 z) (* (* z y) z)) (/ (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2))

simplify235.0ms (2.6%)

Memory
6.0MiB live, 190.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06064534
121234038
083473859
Stop Event
iter limit
node limit
Counts
142 → 140
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(/ (pow (/ y (+ y z)) y) (* x y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 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)
(/ 1 (* x y))
(/ (+ (* y (+ (/ (log y) x) (/ (log (/ 1 z)) x))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (+ (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) (* x z))) (+ (* 1/6 (/ (pow (+ (log y) (log (/ 1 z))) 3) x)) (* 1/2 (/ 1 (* x (pow z 2)))))))) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(/ -1 y)
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))))) (pow y 2))
(* 1/2 (pow z 2))
(+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1)))))
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)))))))
(* 1/2 (/ z (pow y 2)))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* y (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))) (pow y 2))
(/ (- 1 z) (* y (pow z 2)))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ 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)))))
(/ (exp (* -1 z)) (* x y))
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (/ (exp (* -1 z)) x)) y)
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (/ (* (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))))))) (* x (pow y 2))))) y)
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (+ (/ (* (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)))))))) (* x (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))))))) (* x (pow y 2)))))) y)
(/ (exp (* -1 z)) y)
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(/ (+ (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)
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(/ (+ 1 (* z (- (* 1/2 z) 1))) y)
(/ (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))) y)
(/ (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) y)
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(* y (+ 1 (* z (- (* 1/2 z) 1))))
(* y (+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1)))))
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rewrite222.0ms (2.4%)

Memory
-8.4MiB live, 96.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070692
0100660
1420650
23420632
09539623
Stop Event
iter limit
node limit
iter limit
Counts
24 → 311
Calls
Call 1
Inputs
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))
(*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))
#s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z)
#s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))
(/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)
(fma.f64 x (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (/.f64 x x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x)))
(-.f64 x (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x)) (pow.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x) x)
(+.f64 x (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) y) (/.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (neg.f64 (*.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (neg.f64 (neg.f64 (*.f64 x y))))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (*.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (neg.f64 (*.f64 x y)))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (*.f64 x y))
(neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (neg.f64 x)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (*.f64 x y)) (/.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (*.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (fabs.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) y)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))) y)
(/.f64 (fabs.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) y)
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (neg.f64 y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(neg.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) (neg.f64 y)))
(fabs.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) y) (/.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) (-.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) (-.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))) x) (*.f64 x x))))
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(fma.f64 (/.f64 y y) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (/.f64 y (*.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))
(fma.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (neg.f64 z) z) y) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 z z) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 z (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(fma.f64 y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))
(-.f64 (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)))
(+.f64 (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y) (/.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z))) z)
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (neg.f64 z))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) z)
(*.f64 (*.f64 z z) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 z z))
(*.f64 z (fabs.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))

eval94.0ms (1%)

Memory
2.5MiB live, 90.1MiB allocated
Compiler

Compiled 29 936 to 2 578 computations (91.4% saved)

prune66.0ms (0.7%)

Memory
-4.7MiB live, 50.4MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New4438451
Fresh257
Picked325
Done145
Total44919468
Accuracy
100.0%
Counts
468 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.9%
(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
40.6%
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))
57.9%
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
84.3%
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
61.8%
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y))) x)
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
65.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
51.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)))))
71.7%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
51.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) y) z y)) (*.f64 y y)))))
51.8%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) (*.f64 y y)))))
39.5%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y)))))
42.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z) z))))
41.2%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
36.4%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))) (*.f64 z z)))))
59.6%
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) x x))
74.6%
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x x))
39.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
2.0%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 2 327 to 739 computations (68.2% saved)

regimes86.0ms (0.9%)

Memory
-23.7MiB live, 69.2MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) x x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y)))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) y) z y)) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y))) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
Calls

5 calls:

31.0ms
x
23.0ms
z
10.0ms
y
10.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
9.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
94.3%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
92.4%4(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
86.4%1x
99.8%3y
95.2%2z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes26.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) x x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y)))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) y) z y)) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y))) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 z z)))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))
Outputs
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))
Calls

3 calls:

8.0ms
y
8.0ms
z
8.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
92.0%4(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
90.1%2z
92.6%3y
Compiler

Compiled 13 to 15 computations (-15.4% saved)

regimes9.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) x x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y)))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) y) z y)) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y))) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (fma.f64 y (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
Outputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
91.9%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) x x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y)))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) y) z y)) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) (neg.f64 y))) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) z))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (*.f64 #s(approx (- (- (- (/ 1 (* (* z y) z)) (/ -1/2 (* y y))) (/ -1/2 y)) (/ (/ 1 y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) z)))) (*.f64 z z)))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 #s(approx (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
Outputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

2 calls:

6.0ms
y
6.0ms
z
Results
AccuracySegmentsBranch
89.3%2z
88.9%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes74.0ms (0.8%)

Memory
-20.6MiB live, 26.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x x))
#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 #s(approx (/ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x y))) x x))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 z) 1) z) 1) y) (* (* z z) 1/2)) (-.f64 y (*.f64 z y))) (*.f64 y y)))))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

5 calls:

62.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
3.0ms
y
3.0ms
z
3.0ms
x
3.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
84.3%1x
84.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
84.3%1y
84.3%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
84.3%1z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes8.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Calls

5 calls:

2.0ms
y
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
39.6%1x
39.6%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
39.6%1y
39.6%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
39.6%1z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes79.0ms (0.9%)

Memory
-41.4MiB live, 12.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Calls

5 calls:

74.0ms
y
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
x
1.0ms
z
Results
AccuracySegmentsBranch
2.0%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0%1y
2.0%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0%1x
2.0%1z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch28.0ms (0.3%)

Memory
26.4MiB live, 26.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
5.0ms
8.776873414413732e-17
1.8035728820128987e-10
21.0ms
-62221098455023420.0
-32760590359.278713
Samples
14.0ms176×0valid
3.0ms44×0invalid
Compiler

Compiled 357 to 302 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (26.3% of total)
ival-log: 3.0ms (26.3% of total)
ival-exp: 2.0ms (17.5% of total)
ival-add: 2.0ms (17.5% of total)
ival-mult: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch88.0ms (1%)

Memory
5.5MiB live, 51.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
83.0ms
3.7856804605083587e+164
2.1712652443239887e+173
2.0ms
-62221098455023420.0
-32760590359.278713
Samples
20.0ms72×1valid
6.0ms72×0valid
1.0ms17×0invalid
Compiler

Compiled 1 105 to 790 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 11.0ms (49.3% of total)
ival-div: 3.0ms (13.5% of total)
ival-add: 2.0ms (9% of total)
adjust: 2.0ms (9% of total)
ival-exp: 2.0ms (9% of total)
ival-mult: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7856804605083587e+164
2.1712652443239887e+173
1.0ms
-62221098455023420.0
-32760590359.278713
Compiler

Compiled 1 195 to 844 computations (29.4% saved)

bsearch43.0ms (0.5%)

Memory
-18.4MiB live, 72.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-3.2995172254191327e+195
-2.7036369391991616e+189
Samples
13.0ms50×1valid
10.0ms94×0valid
7.0ms95×0invalid
Compiler

Compiled 565 to 412 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 8.0ms (39.6% of total)
ival-div: 4.0ms (19.8% of total)
ival-add: 3.0ms (14.8% of total)
ival-exp: 2.0ms (9.9% of total)
ival-mult: 2.0ms (9.9% of total)
adjust: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify54.0ms (0.6%)

Memory
9.3MiB live, 59.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080392
1105370
2135370
3210370
4432370
52358370
65189370
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (if (<=.f64 y #s(literal 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))))
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))))
(if (<=.f64 z #s(literal -2750000000000000001673400714143013244431424863430375498651215314622856043102744621156538664753897800475551294644449831641229916307088817306067823144109845518821547661004956054935465304784896 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Outputs
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (or (<=.f64 y #s(literal -33000000000 binary64)) (not (<=.f64 y #s(literal 3961408125713217/19807040628566084398385987584 binary64)))) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (if (<=.f64 y #s(literal 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))))
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (if (<=.f64 y #s(literal 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768 binary64)) (+.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))))
(if (<=.f64 y #s(literal -33000000000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (- (* (- (/ (/ 1/2 y) y) (/ -1/2 y)) z) (/ 1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y))))))
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(+.f64 x (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))

soundness963.0ms (10.6%)

Memory
19.5MiB live, 963.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04753442
116333058
273702970
088912845
06103823
121183375
085323221
059548
091512
1372502
23085482
09398480
01047
01747
16041
238041
3442541
0823041
05203630
118153110
086242958
038273
060251
1234251
21605243
09213243
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 497 to 210 computations (57.7% saved)

preprocess97.0ms (1.1%)

Memory
26.9MiB live, 141.0MiB allocated
Compiler

Compiled 848 to 226 computations (73.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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