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

Time bar (total: 9.5s)

start0.0ms (0%)

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

analyze271.0ms (2.9%)

Memory
44.2MiB live, 463.7MiB allocated; 60ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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)

sample2.5s (26.7%)

Memory
46.2MiB live, 3 569.7MiB allocated; 667ms collecting garbage
Samples
1.2s2 358×1valid
642.0ms5 898×0valid
121.0ms915×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-log: 608.0ms (38.9% of total)
ival-div: 302.0ms (19.3% of total)
ival-add: 194.0ms (12.4% of total)
ival-exp: 182.0ms (11.7% of total)
adjust: 137.0ms (8.8% of total)
ival-mult: 126.0ms (8.1% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain285.0ms (3%)

Memory
-45.9MiB live, 388.1MiB allocated; 90ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14637(6.1183226030075336e-114 4.686877185354603e+205 -2.273435743540933e-280)4(-8.585294992817255e+206 -3.710390964307824e-72 -3.249398739130629e+246)(log.f64 (/.f64 y (+.f64 z y)))
440-7(4.5267900361214636e+108 5.601646642292227e+32 -1.0417469967929247e-278)(*.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)))sensitivity1611
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue180
(log.f64 (/.f64 y (+.f64 z y)))underflow37
(/.f64 y (+.f64 z y))underflow18
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u90
Confusion
Predicted +Predicted -
+380
-14177
Precision
0.2122905027932961
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3800
-141176
Precision?
0.2111111111111111
Recall?
1.0
Freqs
test
numberfreq
077
1170
29
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
99.0ms274×1valid
24.0ms48×2valid
19.0ms190×0valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-log: 49.0ms (43.5% of total)
adjust: 26.0ms (23.1% of total)
ival-div: 13.0ms (11.5% of total)
ival-exp: 10.0ms (8.9% of total)
ival-add: 9.0ms (8% of total)
ival-mult: 6.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess148.0ms (1.6%)

Memory
26.6MiB live, 167.0MiB allocated; 8ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify119.0ms (1.3%)

Memory
13.9MiB live, 153.9MiB allocated; 12ms collecting garbage
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

localize84.0ms (0.9%)

Memory
-30.9MiB live, 115.7MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 y (+.f64 z y))
accuracy0.015625
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy9.40400166995976
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy32.70228169986056
(log.f64 (/.f64 y (+.f64 z y)))
Samples
54.0ms137×1valid
11.0ms24×2valid
8.0ms95×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-log: 23.0ms (45.3% of total)
ival-exp: 8.0ms (15.8% of total)
ival-div: 6.0ms (11.8% of total)
adjust: 6.0ms (11.8% of total)
ival-add: 5.0ms (9.9% of total)
ival-mult: 3.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
1.5MiB live, 47.2MiB allocated; 5ms collecting garbage
Counts
6 → 125
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)))
(/.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)))))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(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)
(+ 1 (* -1 (/ z y)))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(+ (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 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
(+ 1 (* -1 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)))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 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)))))))
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(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)))
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(+ (* -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))))
(* -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))
Calls

9 calls:

TimeVariablePointExpression
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))) (/ y (+ z y)))
5.0ms
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))) (/ 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))) (/ 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))) (/ 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))) (/ y (+ z y)))

simplify191.0ms (2%)

Memory
1.8MiB live, 140.4MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06033911
121043386
084903231
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
(+ 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)))))
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(* 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)))
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(+ (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)))))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(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)))
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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)
(/ (+ (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))))
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(* -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)
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(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
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Outputs
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(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)))
(+ (log (* -1 y)) (log (/ -1 z)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y z) (log.f64 (neg.f64 y))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) y) z) (log.f64 (neg.f64 y))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) (/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z)) z))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 y y) z)) (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 (neg.f64 y) (/.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)) z)) (neg.f64 z))

rewrite257.0ms (2.7%)

Memory
7.3MiB live, 169.6MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
01752
16046
238046
3442546
0823046
Stop Event
iter limit
node limit
iter limit
Counts
6 → 262
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)))
(/.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)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 y z) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 z y) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 z y) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 y z) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 z y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 z y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 z y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) y) (pow.f64 (-.f64 y z) y))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (neg.f64 (-.f64 z y)) y))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) y) (pow.f64 (neg.f64 (-.f64 z y)) y))
(*.f64 (pow.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))) y))
(*.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 z y))))
(*.f64 (pow.f64 (exp.f64 y) (log.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (exp.f64 y) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 z y) y) (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y) (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 y) (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y))))
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 y (+.f64 z y)) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y)))) (pow.f64 (exp.f64 y) (/.f64 (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 z y) y)))))
(/.f64 (pow.f64 (exp.f64 y) (/.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))))) (pow.f64 (exp.f64 y) (/.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 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y))) (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))) #s(literal 4 binary64))
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (neg.f64 (+.f64 z y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))))))
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(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (log.f64 (/.f64 y (+.f64 z y)))))
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(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))))))
(-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 (+.f64 z y)) y))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y)) (log.f64 (pow.f64 (-.f64 z y) y)))
(+.f64 (log.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y)) (log.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)))
(+.f64 (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) y) (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) y))
(+.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (/.f64 y (+.f64 z y)))) (*.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (/.f64 y (+.f64 z y)))))
(log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 2 binary64))) (log.f64 (*.f64 (neg.f64 y) (neg.f64 (+.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (+.f64 z y))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 (+.f64 z y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 z y) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (+.f64 z y)) (log.f64 (*.f64 (+.f64 z y) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (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)) (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 (*.f64 y (-.f64 z y))) (log.f64 (fma.f64 (neg.f64 y) y (*.f64 z z))))
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 z z (*.f64 y (+.f64 z y)))))
(-.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (+.f64 z y)))
(-.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y))))
(-.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)))
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z))
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 (-.f64 z y)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(*.f64 (/.f64 y (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (neg.f64 (-.f64 z y)))
(*.f64 (/.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 z y))
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y z) y (*.f64 z z)))
(*.f64 (-.f64 z y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))
(*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 y (-.f64 z y)) (fma.f64 (neg.f64 y) y (*.f64 z z)))
(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 z y))
(/.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))
(/.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)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 y (fma.f64 (-.f64 y z) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y)))))
(/.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y)))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (*.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 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.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 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 (+.f64 z y)))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 z y))))
(/.f64 (neg.f64 y) (neg.f64 (+.f64 z y)))
(/.f64 y (+.f64 z y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 z y)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)))
(fma.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(exp.f64 (log.f64 (/.f64 y (+.f64 z y))))
(+.f64 (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)))
(+.f64 (cosh.f64 (log.f64 (/.f64 y (+.f64 z y)))) (sinh.f64 (log.f64 (/.f64 y (+.f64 z y)))))

eval72.0ms (0.8%)

Memory
5.5MiB live, 51.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 13 904 to 2 137 computations (84.6% saved)

prune18.0ms (0.2%)

Memory
-20.9MiB live, 25.0MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3788386
Fresh000
Picked101
Done000
Total3798387
Accuracy
100.0%
Counts
387 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
61.6%
(+.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))
64.6%
(+.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))
66.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
86.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
58.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.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) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
54.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
37.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 426 to 296 computations (30.5% saved)

simplify130.0ms (1.4%)

Memory
11.5MiB live, 107.6MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 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 #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)
cost-diff0
(+.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))
cost-diff1
(*.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)
cost-diff2
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.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)
cost-diff0
(+.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))
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
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045485
073485
1111449
2203449
3456449
41138449
55334449
08153443
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#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))))) (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))
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)
#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)))
(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))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
#s(literal 1 binary64)
(+.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))
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)
#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)))
(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))
(-.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))
(*.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)
(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)))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 z)
z
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#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 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#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))))) (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 (/.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) x)
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)
#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)))
(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))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
z
#s(literal 1 binary64)
(+.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 (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
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 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#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)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(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))
(fma.f64 (-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.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))
(-.f64 (*.f64 z (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))
(*.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)
(*.f64 z (-.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z (/.f64 #s(literal -1/2 binary64) y))))
(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)))
(fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 z)
z
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#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

localize231.0ms (2.4%)

Memory
7.8MiB live, 244.6MiB allocated; 22ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 z)
accuracy0.0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy0.015625
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy22.691449348999527
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
accuracy0.6795526601375956
(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))
accuracy0.7924484366139807
(*.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)
accuracy3.4361095864863427
(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)))
accuracy23.37983962582871
#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)))
accuracy0.015625
(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))
accuracy0.015625
(/.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)
accuracy0.078125
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
accuracy24.976028257411492
#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)))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy39.95334473132682
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy0.0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy15.646129306342072
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
Samples
113.0ms137×1valid
29.0ms24×2valid
25.0ms95×0valid
Compiler

Compiled 351 to 36 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-log: 30.0ms (22.3% of total)
adjust: 29.0ms (21.6% of total)
ival-mult: 28.0ms (20.8% of total)
ival-div: 13.0ms (9.7% of total)
ival-add: 12.0ms (8.9% of total)
const: 9.0ms (6.7% of total)
ival-sub: 7.0ms (5.2% of total)
ival-exp: 5.0ms (3.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
17.2MiB live, 60.1MiB allocated; 7ms collecting garbage
Counts
22 → 146
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#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))))) (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 #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)
#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)))
(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))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(*.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)
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(+ (* -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)))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(* 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 (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) 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)))) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (neg z))
6.0ms
z
@0
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) 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)))) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (neg z))
4.0ms
z
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) 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)))) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (neg z))
4.0ms
z
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) 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)))) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (neg z))
3.0ms
y
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) 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)))) (* (+ (/ 1/2 y) 1/2) z) (exp (* y (log (/ y (+ z y))))) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (neg z))

simplify159.0ms (1.7%)

Memory
4.7MiB live, 191.4MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06164149
122083709
087303510
Stop Event
iter limit
node limit
Counts
146 → 145
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)))))
(+ 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 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(/ 1/3 (pow y 2))
(/ (+ 1/3 (* 1/2 y)) (pow y 2))
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* 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))))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(* -1/3 (/ (pow z 3) (pow y 2)))
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(+ x (/ (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)
(/ (+ (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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(exp (* -1 z))
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1/6
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(* -1 z)
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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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1
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(+ (* -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))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) z)
(* 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 (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (+.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))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))) (pow.f64 z #s(literal 3 binary64)))

rewrite258.0ms (2.7%)

Memory
-8.9MiB live, 326.4MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045396
073396
1301362
22357362
09192362
Stop Event
iter limit
node limit
iter limit
Counts
22 → 295
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#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))))) (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 #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)
#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)))
(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))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(*.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)
(+.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 #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 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 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)
#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)))
(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)))
(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))
(neg.f64 z)
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) (*.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (*.f64 (-.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))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
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#s(approx (exp (* y (log (/ y (+ z 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 y #s(literal -1/2 binary64)) (pow.f64 y #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 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
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(/.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 (/.f64 #s(literal -1 binary64) y))
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(+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(fma.f64 z (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64))) z))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z))
(neg.f64 z)

eval114.0ms (1.2%)

Memory
20.8MiB live, 181.4MiB allocated; 29ms collecting garbage
Compiler

Compiled 25 665 to 2 893 computations (88.7% saved)

prune996.0ms (10.5%)

Memory
-196.8MiB live, 81.6MiB allocated; 1.6s collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4308438
Fresh213
Picked235
Done000
Total43412446
Accuracy
100.0%
Counts
446 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.7%
(/.f64 (-.f64 (pow.f64 (/.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) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.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) x))
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
70.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
37.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
65.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
68.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
61.4%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
66.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
39.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
86.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
13.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
37.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 764 to 503 computations (34.2% saved)

simplify250.0ms (2.6%)

Memory
50.4MiB live, 282.8MiB allocated; 61ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff1
(neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
cost-diff2
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 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
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066834
095834
1157751
2330743
3843743
42434743
56196743
08165726
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
#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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal 1/2 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
(neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 z z)
z
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
z
#s(literal 1/2 binary64)
#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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal 1/2 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z)))
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) (*.f64 z z))
(neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 z z)
z
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)

localize391.0ms (4.1%)

Memory
1.7MiB live, 905.1MiB allocated; 87ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy28.495328142543165
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy48.79431004838214
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy0.6795526601375956
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
accuracy6.052933896232182
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
accuracy23.37983962582871
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy31.173585433898214
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y)
accuracy7.265827878445966
(/.f64 (*.f64 z z) y)
accuracy24.976028257411492
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))
accuracy46.52856117600848
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
accuracy26.32164996862828
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy0.6795526601375956
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
accuracy0.7924484366139807
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
accuracy23.37983962582871
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy24.899608960426534
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
Samples
242.0ms120×1valid
68.0ms136×0valid
Compiler

Compiled 442 to 49 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 274.0ms
adjust: 71.0ms (25.9% of total)
ival-mult: 68.0ms (24.8% of total)
ival-log: 48.0ms (17.5% of total)
ival-sub: 19.0ms (6.9% of total)
ival-div: 17.0ms (6.2% of total)
ival-add: 16.0ms (5.8% of total)
const: 15.0ms (5.5% of total)
ival-pow: 9.0ms (3.3% of total)
ival-exp: 6.0ms (2.2% of total)
ival-neg: 3.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
13.5MiB live, 204.8MiB allocated; 9ms collecting garbage
Counts
26 → 140
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))
(+.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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))
(+.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 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(*.f64 y y)
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z)
(/.f64 (*.f64 z z) y)
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
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)))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(/ 1/3 (pow y 2))
(/ (+ 1/3 (* 1/2 y)) (pow y 2))
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2))
(/ -1/3 (pow y 2))
(/ (- (* -1/2 y) 1/3) (pow y 2))
(/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))
(pow y 2)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 2))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (pow z 2) y)
(/ (+ (* -1/2 (* y (pow z 2))) (* -1/3 (pow z 2))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* -1/2 (pow z 2)) (* -1/6 (* 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 (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
1/6
(+ 1/6 (* 1/2 (/ 1 y)))
(+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y))))
-1/6
(* -1 (+ 1/6 (* 1/2 (/ 1 y))))
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)
(+ 1/2 (* -1/6 z))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y))))))
(* z (+ 1/2 (* -1/6 z)))
(+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)))
(* -1/6 (pow z 2))
(+ (* -1/2 (/ (pow z 2) y)) (* -1/6 (pow z 2)))
(+ (* -1/2 (/ (pow z 2) y)) (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* -1/6 (pow z 2))))
(+ 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 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(/ -1 y)
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z)))
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z)))
(+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z))))
(+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z))))
(+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)) (* -1/6 (pow z 2)))
(+ 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))
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(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(+ 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))))))
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(+ (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)))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)))
(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* z (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(+ 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 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* z (- 1 (/ 1 z))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ 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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y)) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (* z z) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (exp (* y (log (/ y (+ z y))))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1))
5.0ms
y
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ 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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y)) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (* z z) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (exp (* y (log (/ y (+ z y))))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1))
4.0ms
z
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ 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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y)) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (* z z) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (exp (* y (log (/ y (+ z y))))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1))
4.0ms
z
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ 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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y)) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (* z z) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (exp (* y (log (/ y (+ z y))))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1))
3.0ms
y
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ 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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y)) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (/ (* z z) y) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (exp (* y (log (/ y (+ z y))))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1))

simplify250.0ms (2.6%)

Memory
-22.5MiB live, 459.9MiB allocated; 71ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05593802
119873431
084223250
Stop Event
iter limit
node limit
Counts
140 → 139
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)))))
(+ 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)))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
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(* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 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
(* 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)
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(* -1 (* z (- 1 (/ 1 z))))
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rewrite236.0ms (2.5%)

Memory
13.4MiB live, 585.0MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066706
095706
1413627
23345627
08962623
Stop Event
iter limit
node limit
iter limit
Counts
26 → 263
Calls
Call 1
Inputs
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(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
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Outputs
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(fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y)) (*.f64 z z) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z)))
(fma.f64 (*.f64 z z) (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y)) (*.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y)) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z)))
(+.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y))) (*.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(fma.f64 z (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64))) z))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) z))

eval95.0ms (1%)

Memory
-27.7MiB live, 498.7MiB allocated; 30ms collecting garbage
Compiler

Compiled 26 098 to 2 587 computations (90.1% saved)

prune15.0ms (0.2%)

Memory
29.7MiB live, 76.7MiB allocated; 1ms collecting garbage
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New4145419
Fresh224
Picked145
Done033
Total41714431
Accuracy
100.0%
Counts
431 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x))
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
70.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
65.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
68.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
70.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
51.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) #s(approx (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (*.f64 y y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
66.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
42.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
39.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
86.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
13.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
37.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
2.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Compiler

Compiled 735 to 485 computations (34% saved)

simplify164.0ms (1.7%)

Memory
12.4MiB live, 246.7MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff1
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)
cost-diff0
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
cost-diff0
#s(approx (- 1 z) (neg.f64 z))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069755
095755
1158695
2322687
3673680
41360680
53914680
08152674
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z)))
(*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))
#s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 z z)
z
#s(literal 1 binary64)
y
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.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))))) #s(approx (- 1 z) (neg.f64 z))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64))
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64))
#s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)
(*.f64 #s(literal 1/2 binary64) (fma.f64 z y z))
#s(literal 1/2 binary64)
(fma.f64 z y z)
z
y
#s(literal 1 binary64)
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z)))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z))
(*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))
(*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)
#s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 z z)
z
#s(literal 1 binary64)
y
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.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))))) #s(approx (- 1 z) (neg.f64 z))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64))
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64))
(-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z)) #s(literal 1 binary64))
#s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y))
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (fma.f64 z y z))
(*.f64 (fma.f64 z y z) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 z y z)
z
y
#s(literal 1 binary64)

localize358.0ms (3.8%)

Memory
-0.8MiB live, 385.2MiB allocated; 72ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
accuracy8.245886621509237
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)
accuracy24.976028257411492
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy0.015625
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
accuracy24.976028257411492
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy25.089208686988652
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z))
accuracy0.0
(neg.f64 z)
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy26.32164996862828
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
accuracy36.289145825221006
#s(approx (- 1 z) (neg.f64 z))
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy32.42106657291429
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
accuracy48.79431004838214
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
accuracy6.052933896232182
(*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))
accuracy23.37983962582871
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy24.98190257608125
#s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64))
accuracy31.173585433898214
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z)))
Samples
226.0ms120×1valid
62.0ms136×0valid
Compiler

Compiled 367 to 52 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-div: 56.0ms (24.1% of total)
ival-add: 43.0ms (18.5% of total)
ival-log: 41.0ms (17.7% of total)
ival-mult: 29.0ms (12.5% of total)
adjust: 21.0ms (9.1% of total)
const: 15.0ms (6.5% of total)
ival-pow: 9.0ms (3.9% of total)
ival-sub: 8.0ms (3.4% of total)
ival-exp: 5.0ms (2.2% of total)
ival-neg: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
-20.2MiB live, 119.2MiB allocated; 28ms collecting garbage
Counts
25 → 125
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z)))
#s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64))
(*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))
(neg.f64 z)
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))
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)))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ -1 y)
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ -1/3 (pow y 2))
(/ (- (* -1/2 y) 1/3) (pow y 2))
(/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))
(/ (+ (* -1/2 (* y (pow z 2))) (* -1/3 (pow z 2))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* -1/2 (pow z 2)) (* -1/6 (* 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 (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
(* 1/2 z)
(+ (* 1/2 z) (* 1/2 (/ z y)))
(* z (+ 1/2 (* -1/6 z)))
(+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))
(+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)))
-1/6
(* -1 (+ 1/6 (* 1/2 (/ 1 y))))
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1/6)
(* -1/6 (pow z 2))
(+ (* -1/2 (/ (pow z 2) y)) (* -1/6 (pow z 2)))
(+ (* -1/2 (/ (pow z 2) y)) (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* -1/6 (pow z 2))))
(+ 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 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z))))
(+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z))))
(+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)) (* -1/6 (pow z 2)))
(+ 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)))
(* 1/2 (/ (* z (+ 1 y)) y))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* -1 z)
(+ 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)))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2))))
(* z (- (/ 1 z) 1))
(* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* (pow z 2) (- (+ 1/2 (+ (* 1/2 (/ 1 y)) (/ 1 (pow z 2)))) (/ 1 z)))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(+ 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 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* z (- 1 (/ 1 z))))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(* -1/2 (/ (* z (- (* -1 y) 1)) y))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/ (* 1/2 (+ (* z y) z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (neg z) (* (+ (/ 1/2 y) 1/2) z) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1))
10.0ms
z
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/ (* 1/2 (+ (* z y) z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (neg z) (* (+ (/ 1/2 y) 1/2) z) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1))
7.0ms
x
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/ (* 1/2 (+ (* z y) z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (neg z) (* (+ (/ 1/2 y) 1/2) z) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1))
5.0ms
z
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/ (* 1/2 (+ (* z y) z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (neg z) (* (+ (/ 1/2 y) 1/2) z) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1))
4.0ms
y
@0
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) 1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -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) (exp (* y (log (/ y (+ z y))))) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (/ (* 1/2 (+ (* z y) z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (neg z) (* (+ (/ 1/2 y) 1/2) z) (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1))

simplify209.0ms (2.2%)

Memory
27.7MiB live, 298.6MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05283587
118703188
086283025
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)))))
(+ 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)))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ -1 y)
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ -1/3 (pow y 2))
(/ (- (* -1/2 y) 1/3) (pow y 2))
(/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))
(/ (+ (* -1/2 (* y (pow z 2))) (* -1/3 (pow z 2))) (pow y 2))
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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)
(/ (+ (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))
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(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
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(* 1/2 z)
(+ (* 1/2 z) (* 1/2 (/ z y)))
(* z (+ 1/2 (* -1/6 z)))
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-1/6
(* -1 (+ 1/6 (* 1/2 (/ 1 y))))
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(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -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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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))))
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(/ 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)
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1
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(* -1/3 (/ (pow z 3) (pow y 2)))
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(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (* z (+ 1/2 (* -1/6 z)))) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
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(/ -1/3 (pow y 2))
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(/ (- (* -1/2 y) 1/3) (pow y 2))
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(/ (- (* y (- (* -1/6 y) 1/2)) 1/3) (pow y 2))
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(/ (exp (* -1 z)) y)
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(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) z) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y)) #s(literal 1/6 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) z)
(* -1/2 (/ (* z (- (* -1 y) 1)) y))
(*.f64 (*.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z y)) #s(literal -1/2 binary64))

rewrite274.0ms (2.9%)

Memory
6.5MiB live, 310.6MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069629
095629
1415570
23344570
08903570
Stop Event
iter limit
node limit
iter limit
Counts
25 → 205
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64)))
#s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z)))
#s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64))
(*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))
(neg.f64 z)
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) z) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y) x))))
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(neg.f64 z)
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(*.f64 #s(literal 1 binary64) #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)))
#s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z))
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(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z)) (pow.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 (fma.f64 z y z) #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) z))

eval48.0ms (0.5%)

Memory
-38.6MiB live, 110.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 19 472 to 1 699 computations (91.3% saved)

prune18.0ms (0.2%)

Memory
1.2MiB live, 47.7MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New3261327
Fresh022
Picked055
Done077
Total32615341
Accuracy
100.0%
Counts
341 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x))
83.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
70.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
65.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
68.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
44.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/3 binary64)) y) y)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
70.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
51.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) #s(approx (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (*.f64 y y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
66.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
42.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
39.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
86.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
13.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
37.6%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
2.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Compiler

Compiled 1 381 to 561 computations (59.4% saved)

regimes33.0ms (0.4%)

Memory
27.9MiB live, 73.8MiB allocated; 2ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #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(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.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))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #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(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) #s(approx (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (*.f64 y y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/3 binary64)) y) y)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.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))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.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) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 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 (-.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x))
(/.f64 (-.f64 (pow.f64 (/.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) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.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) 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:

8.0ms
x
6.0ms
z
6.0ms
y
6.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
6.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
93.3%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
92.1%3(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
86.1%1x
100.0%3y
88.4%2z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes13.0ms (0.1%)

Memory
-18.7MiB live, 26.9MiB allocated; 4ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #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(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.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))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #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(approx (+ (* (- (* (+ (/ 1/2 y) 1/2) z) 1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z y z)) y)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) y)) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) #s(approx (* (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y (*.f64 (*.f64 #s(literal -1/3 binary64) z) z)) (*.f64 y y)))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/3 binary64)) y) y)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
(+.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))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (-.f64 (*.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) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z) (/.f64 #s(literal 1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #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:

7.0ms
y
5.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
86.1%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
90.7%2y
Compiler

Compiled 12 to 12 computations (0% saved)

regimes3.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #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(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.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))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z z))) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z 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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
90.7%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #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(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.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))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)) z #s(literal 1 binary64))) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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:

2.0ms
y
2.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
86.1%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
88.8%2y
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes12.0ms (0.1%)

Memory
-16.8MiB live, 34.6MiB allocated; 5ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #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(approx (- 1 z) (neg.f64 z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

4 calls:

6.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
86.1%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
86.1%1x
86.1%1z
86.1%1y
Compiler

Compiled 14 to 18 computations (-28.6% saved)

regimes7.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
#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:

1.0ms
x
1.0ms
z
1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
y
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
37.6%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
37.6%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
37.6%1x
37.6%1y
37.6%1z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes27.0ms (0.3%)

Memory
-33.9MiB live, 13.7MiB allocated; 1ms collecting garbage
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)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Calls

5 calls:

23.0ms
y
1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
x
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
Results
AccuracySegmentsBranch
2.4%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.4%1x
2.4%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.4%1y
2.4%1z
Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch97.0ms (1%)

Memory
22.3MiB live, 69.4MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
66.0ms
4.122964328451879e-60
3.8544217905501817e-54
26.0ms
-9.440215888847593e+25
-236493761442982430.0
Samples
50.0ms80×0invalid
19.0ms249×0valid
9.0ms39×1valid
Compiler

Compiled 574 to 484 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-exp: 47.0ms (69.5% of total)
ival-log: 7.0ms (10.3% of total)
ival-div: 6.0ms (8.9% of total)
ival-add: 4.0ms (5.9% of total)
ival-mult: 2.0ms (3% of total)
adjust: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-9.440215888847593e+25
-236493761442982430.0
Compiler

Compiled 565 to 439 computations (22.3% saved)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-9.440215888847593e+25
-236493761442982430.0
Compiler

Compiled 691 to 493 computations (28.7% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-9.440215888847593e+25
-236493761442982430.0
Compiler

Compiled 421 to 331 computations (21.4% saved)

simplify105.0ms (1.1%)

Memory
-22.8MiB live, 83.0MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081288
1128260
2227260
3455260
4872260
52864260
65922260
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 1639164757362759/431359146674410236714672241392314090778194310760649159697657763987456 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 -240000000000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #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)))
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z 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)))
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
Outputs
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 1639164757362759/431359146674410236714672241392314090778194310760649159697657763987456 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 -240000000000000000 binary64)) (not (<=.f64 y #s(literal 1639164757362759/431359146674410236714672241392314090778194310760649159697657763987456 binary64)))) (+.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)))
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #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)))
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) (+ (/ 1/2 y) 1/2)) z) (*.f64 #s(approx (neg (+ (+ 1/6 (/ 1/3 (* y y))) (/ 1/2 y))) #s(literal -1/6 binary64)) (*.f64 z 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)))
(if (<=.f64 y #s(literal -240000000000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (-.f64 #s(approx (* (+ (/ 1/2 y) 1/2) z) (*.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)) (pow.f64 y #s(literal -1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

derivations775.0ms (8.2%)

Memory
-17.9MiB live, 551.1MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06164149
122083709
087303510
045396
073396
1301362
22357362
09192362
05593802
119873431
084223250
06033911
121043386
084903231
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 288 to 83 computations (71.2% saved)

preprocess59.0ms (0.6%)

Memory
27.4MiB live, 115.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 660 to 226 computations (65.8% saved)

end0.0ms (0%)

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

Profiling

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