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

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze341.0ms (3.7%)

Memory
10.1MiB live, 216.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.7%6.2%87.4%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
20.7%18.7%71.8%0.1%0%9.4%0%9
34.5%29.6%56.2%0.1%0%14%0%10
34.5%29.6%56.2%0.1%0%14%0%11
50.5%42.1%41.3%0.1%0%16.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.1s (22.5%)

Memory
54.9MiB live, 2 357.4MiB allocated
Samples
995.0ms2 308×1valid
610.0ms5 948×0valid
70.0ms980×0invalid
7.0ms38×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 639.0ms (47.1% of total)
ival-div: 258.0ms (19% of total)
ival-exp: 191.0ms (14.1% of total)
ival-add: 135.0ms (9.9% of total)
ival-mult: 72.0ms (5.3% of total)
adjust: 52.0ms (3.8% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain228.0ms (2.5%)

Memory
-59.2MiB live, 262.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14330(9.153904686090162e-82 -4.034740001707513e+250 7.420435103908786e-98)5(1.7424243104523987e+67 -2.0077749637502657e-284 -4.39194016932691e+39)(log.f64 (/.f64 y (+.f64 z y)))
300-1(-4.806211451399072e+88 -34191712888296020.0 -1.0489740812133328e-306)(*.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)))sensitivity1530
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue140
(log.f64 (/.f64 y (+.f64 z y)))underflow29
(/.f64 y (+.f64 z y))underflow15
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u50
Confusion
Predicted +Predicted -
+320
-13589
Precision
0.19161676646706588
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3200
-135089
Precision?
0.19161676646706588
Recall?
1.0
Freqs
test
numberfreq
089
1162
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms238×1valid
26.0ms54×2valid
19.0ms220×0valid
Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-log: 42.0ms (44.3% of total)
ival-add: 20.0ms (21.1% of total)
ival-div: 12.0ms (12.7% of total)
ival-exp: 8.0ms (8.4% of total)
adjust: 6.0ms (6.3% of total)
ival-mult: 6.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess151.0ms (1.6%)

Memory
7.4MiB live, 44.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051130
1106104
2224102
3484102
41103102
52317100
63307100
74465100
85408100
96091100
106493100
116717100
127002100
137297100
147550100
157967100
01013
01713
12211
22511
32511
02511
Stop Event
iter limit
saturated
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
cost-diff0
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
cost-diff2
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12252
22552
32552
02552
Stop Event
iter limit
saturated
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

localize82.0ms (0.9%)

Memory
-8.2MiB live, 77.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy0.015625
(/.f64 y (+.f64 z y))
accuracy7.07174518246156
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy32.381666835966406
(log.f64 (/.f64 y (+.f64 z y)))
Samples
35.0ms119×1valid
13.0ms27×2valid
10.0ms110×0valid
Compiler

Compiled 60 to 12 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 24.0ms (53.2% of total)
ival-div: 6.0ms (13.3% of total)
ival-exp: 4.0ms (8.9% of total)
ival-add: 4.0ms (8.9% of total)
adjust: 3.0ms (6.7% of total)
ival-mult: 3.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
7.1MiB live, 44.4MiB allocated
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)))
(+ 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))
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(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
(* -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
7.0ms
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)))
7.0ms
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)))
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)))
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)))

simplify162.0ms (1.7%)

Memory
8.2MiB live, 159.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06033912
118143296
260422954
082382801
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)))))
(* 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)))
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(* -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))
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(* -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))
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(+ 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)))
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(* 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))
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Outputs
(/ (pow (/ y (+ y z)) y) y)
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(+ x (/ (pow (/ y (+ y z)) y) y))
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(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x)
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) 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)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) z))
(+ 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)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) x) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 z))) z))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (/.f64 (neg.f64 y) z) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z y)) y)) 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)))))))) (* 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))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) y) (pow.f64 (neg.f64 y) y)) y) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.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 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 1/2 binary64))) z))) (neg.f64 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)))))
(*.f64 y (+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)) (log.f64 (/.f64 #s(literal -1 binary64) 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)))))
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(+ (* -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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) z) #s(literal -1/6 binary64))) (neg.f64 z))) (neg.f64 z)))
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(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/2 binary64) y) z)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64))) z)) z)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) (neg.f64 y)) y) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z))) z) y) z)

rewrite177.0ms (1.9%)

Memory
6.7MiB live, 124.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
01752
16446
245846
3647646
0804746
Stop Event
iter limit
node limit
iter limit
Counts
6 → 332
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 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 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))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y))
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(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 y) z) y))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 z y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) y))
(/.f64 (neg.f64 y) (-.f64 (neg.f64 y) z))
(/.f64 y (+.f64 z y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) z))))
(neg.f64 (/.f64 y (-.f64 (neg.f64 y) z)))
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y)))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)))
(fma.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) (/.f64 y (-.f64 (neg.f64 y) z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (neg.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 y (+.f64 z y))))
(+.f64 (*.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))))
(+.f64 (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z) (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)))

eval78.0ms (0.8%)

Memory
-13.6MiB live, 106.1MiB allocated
Compiler

Compiled 13 008 to 2 363 computations (81.8% saved)

prune19.0ms (0.2%)

Memory
-10.7MiB live, 28.5MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4419450
Fresh000
Picked101
Done000
Total4429451
Accuracy
100.0%
Counts
451 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(+.f64 x (/.f64 (*.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)))) y))
59.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y))
85.4%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
55.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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))
64.0%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.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))
67.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
86.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
42.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
41.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 422 to 290 computations (31.3% saved)

simplify205.0ms (2.2%)

Memory
26.3MiB live, 244.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (+.f64 z y))
cost-diff0
(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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-diff2
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.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)))) y)
cost-diff0
(+.f64 x (/.f64 (*.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)))) y))
cost-diff12
(*.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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045429
073413
1107397
2179397
3592387
42262377
55806377
08557365
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.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)))) y))
x
(/.f64 (*.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)))) y)
(*.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 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
(/.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
(neg.f64 z)
z
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
Outputs
(+.f64 x (/.f64 (*.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)))) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(/.f64 (*.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)))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(*.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 (/.f64 y (+.f64 z y)) y)
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
(/.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) 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)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) 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 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) z #s(literal -1 binary64))
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 z y) (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
#s(literal 1/3 binary64)
(*.f64 y y)
(neg.f64 z)
z
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z

localize374.0ms (4%)

Memory
6.2MiB live, 329.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy0.015625
(/.f64 y (+.f64 z y))
accuracy11.739697584648047
(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy29.50201787820547
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
accuracy1.2062883914104834
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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))
accuracy1.9536013365802107
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
accuracy4.9973717452565625
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
accuracy26.19812295914719
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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)))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.00390625
(+.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)
accuracy25.624891035042403
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy37.52436348463506
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy0.015625
(/.f64 (*.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)))) y)
accuracy0.015625
(/.f64 y (+.f64 z y))
accuracy0.0234375
(*.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))))
accuracy11.716545152688088
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))
Samples
170.0ms99×1valid
63.0ms157×0valid
Compiler

Compiled 333 to 40 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-pow: 95.0ms (49.5% of total)
ival-mult: 28.0ms (14.6% of total)
ival-div: 16.0ms (8.3% of total)
ival-log: 15.0ms (7.8% of total)
ival-add: 14.0ms (7.3% of total)
const: 8.0ms (4.2% of total)
adjust: 7.0ms (3.6% of total)
ival-exp: 3.0ms (1.6% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series126.0ms (1.4%)

Memory
-22.3MiB live, 76.3MiB allocated
Counts
20 → 203
Calls
Call 1
Inputs
(*.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))))
(+.f64 x (/.f64 (*.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)))) y))
(/.f64 (*.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)))) y)
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 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))))) (-.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)
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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))
Outputs
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(* -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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y)
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z))))))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z)))))))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (+ (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/4 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/48 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/4 (/ 1 (pow z 2))))))) (* 1/2 (/ 1 z)))))))
(/ (+ 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 (- (+ (* 1/2 (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 (- (+ (* 1/2 (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 (/ 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))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* -1/3 (/ (pow z 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))
(pow (exp (* -1/2 z)) 2)
(+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2))
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2))))
(+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2))))))
(+ x (/ (pow (exp (* -1/2 z)) 2) y))
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y)))
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y)))))
(/ (pow (exp (* -1/2 z)) 2) y)
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y)
(exp (* -1/2 z))
(+ (exp (* -1/2 z)) (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1/2 z)) (+ (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1/2 z)) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1/2 z)) (+ (* 1/4 (/ (* (exp (* -1/2 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1/2 z)) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3)) (/ (* (exp (* -1/2 z)) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -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)
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(+ 1/2 (* -1/6 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))))))
(+ 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)))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(+ 1 (* 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)))
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(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))
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(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
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(+ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* -1/2 (/ (* (pow y 2) (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
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(+ 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)))
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(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
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(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(* -1 (* z (- 1 (/ 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 (/ (+ (* -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))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* -1 (* (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
47.0ms
y
@inf
((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1))
36.0ms
z
@0
((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1))
13.0ms
y
@-inf
((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1))
7.0ms
z
@-inf
((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1))
7.0ms
z
@inf
((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (pow (/ y (+ z y)) (/ y 2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1))

simplify233.0ms (2.5%)

Memory
40.4MiB live, 263.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010088682
132407602
088527236
Stop Event
iter limit
node limit
Counts
203 → 202
Calls
Call 1
Inputs
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(* -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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y)
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z))))))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z)))))))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (+ (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/4 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/48 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/4 (/ 1 (pow z 2))))))) (* 1/2 (/ 1 z)))))))
(/ (+ 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 (- (+ (* 1/2 (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 (- (+ (* 1/2 (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 (/ 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))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* -1/3 (/ (pow z 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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(fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (+.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) x))
(+ 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)))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) z)) x)
(+ 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)))
(+.f64 (-.f64 x (/.f64 (-.f64 (*.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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) 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))) z)) z)) (/.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))))) y)
(/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z) (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) 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)))))))) (* 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))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y) (/.f64 (-.f64 (*.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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) 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))) z)) z))
(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 (-.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (*.f64 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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))) 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)))))) z)) z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) (neg.f64 z)) (*.f64 y y)) (neg.f64 z)) y) (neg.f64 z))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 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)))))))
(*.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (+.f64 (/.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 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) z)) #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 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)) (/.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1/6 binary64))) (pow.f64 z #s(literal 3 binary64)))

rewrite271.0ms (2.9%)

Memory
-2.2MiB live, 276.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045361
073309
1324309
22621308
08607302
Stop Event
iter limit
node limit
iter limit
Counts
20 → 682
Calls
Call 1
Inputs
(*.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))))
(+.f64 x (/.f64 (*.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)))) y))
(/.f64 (*.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)))) y)
(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 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))))) (-.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)
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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))
Outputs
(*.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 z y)) y) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (pow.f64 (+.f64 z y) (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 z z (*.f64 (neg.f64 y) y))) y) (pow.f64 (-.f64 z y) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)) y))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 y (+.f64 z y))) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 (+.f64 z y) (neg.f64 y)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (pow.f64 (+.f64 z y) (neg.f64 y)))
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(pow.f64 (exp.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64)))
(pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64))) (*.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 1/2 binary64)) (+.f64 y y))
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -2 binary64))))
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y))))
(pow.f64 (pow.f64 (/.f64 y (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
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(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.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 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.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 (*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.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 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z))

eval271.0ms (2.9%)

Memory
-29.5MiB live, 250.1MiB allocated
Compiler

Compiled 39 171 to 4 103 computations (89.5% saved)

prune30.0ms (0.3%)

Memory
6.4MiB live, 81.5MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New93613949
Fresh224
Picked235
Done000
Total94018958
Accuracy
100.0%
Counts
958 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
59.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y))
85.4%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
64.0%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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))
86.3%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
70.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
34.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
64.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
31.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
47.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
67.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
39.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
67.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
78.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
12.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
42.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
31.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
41.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 1 121 to 741 computations (33.9% saved)

simplify219.0ms (2.4%)

Memory
5.5MiB live, 247.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 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
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
cost-diff2
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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
#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
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063706
090682
1141651
2227644
3662638
42120632
53826621
66806621
08211598
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
x
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))
#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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
z
#s(literal 1/2 binary64)
y
(*.f64 #s(literal -1/3 binary64) (*.f64 z z))
#s(literal -1/3 binary64)
(*.f64 z z)
(*.f64 y y)
#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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y))))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)) z)
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
z
#s(literal 1/2 binary64)
y
(*.f64 #s(literal -1/3 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 z z)
(*.f64 y y)
#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)

localize354.0ms (3.8%)

Memory
10.2MiB live, 416.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy30.74148912130418
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy50.090463185163415
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy5.8007564799624705
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
accuracy23.86896829677724
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
accuracy26.19812295914719
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64)))
accuracy41.539526598103656
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)))
accuracy1.2062883914104834
(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
accuracy1.9536013365802107
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
accuracy26.19812295914719
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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)))
accuracy30.62898222473997
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
accuracy0.00390625
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy25.624891035042403
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
accuracy37.63060299620123
#s(approx (- 1 z) (neg.f64 z))
accuracy0.00390625
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
accuracy0.015625
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)
accuracy14.403632857794737
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))
Samples
234.0ms99×1valid
84.0ms157×0valid
Compiler

Compiled 398 to 51 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-pow: 75.0ms (29.8% of total)
ival-mult: 59.0ms (23.5% of total)
ival-div: 37.0ms (14.7% of total)
ival-add: 34.0ms (13.5% of total)
const: 15.0ms (6% of total)
ival-log: 15.0ms (6% of total)
adjust: 9.0ms (3.6% of total)
ival-exp: 4.0ms (1.6% of total)
ival-sub: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
-21.9MiB live, 103.4MiB allocated
Counts
22 → 184
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))
(+.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) 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)
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
Outputs
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(* -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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 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 (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))
(/ (+ 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 (- (+ (* 1/2 (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 (- (+ (* 1/2 (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))
(* -1/3 (pow z 2))
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z)))))
(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))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(+ x (/ (pow (exp (* -1/2 z)) 2) y))
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y)))
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y)))))
(/ (pow (exp (* -1/2 z)) 2) y)
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y)
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(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
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(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
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(* -1 z)
(* z (- (/ 1 z) 1))
(* -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))))
(* (pow z 2) (- (* -1/2 y) 1/3))
(* (pow z 2) (- (+ (* -1/2 y) (* 1/2 (/ y z))) 1/3))
(* -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)))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(/ (* (pow z 2) (- (* -1/2 y) 1/3)) (pow y 2))
(* (pow z 2) (- (+ (/ -1/2 y) (* 1/2 (/ 1 (* y z)))) (* 1/3 (/ 1 (pow y 2)))))
(+ x (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)))
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(/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)
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(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(* -1 (* z (- 1 (/ 1 z))))
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(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
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Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ 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)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y)))
5.0ms
z
@-inf
((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ 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)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y)))
4.0ms
y
@inf
((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ 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)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y)))
4.0ms
z
@inf
((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ 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)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y)))
3.0ms
y
@-inf
((+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (+ 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)) (pow (* y y) -1/2) (* y y) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (* y y)))

simplify331.0ms (3.6%)

Memory
-2.3MiB live, 276.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08617665
127306749
085026416
Stop Event
iter limit
node limit
Counts
184 → 183
Calls
Call 1
Inputs
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
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(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
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1
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(* -1 (* z (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(*.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 z))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (*.f64 z z))

rewrite213.0ms (2.3%)

Memory
-5.7MiB live, 279.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063612
090588
1418548
23695548
09603534
Stop Event
iter limit
node limit
iter limit
Counts
22 → 351
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))
(+.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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) 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)
#s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(fma.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x)
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(+.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y) x)
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)))
(*.f64 (neg.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 y))))
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(/.f64 (*.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64))))
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(neg.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
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eval114.0ms (1.2%)

Memory
27.1MiB live, 138.1MiB allocated
Compiler

Compiled 34 916 to 2 674 computations (92.3% saved)

prune28.0ms (0.3%)

Memory
-10.2MiB live, 69.2MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New5374541
Fresh1910
Picked145
Done033
Total53920559
Accuracy
100.0%
Counts
559 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
59.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y))
85.4%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
64.0%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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))
86.3%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
70.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
34.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
64.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
31.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
57.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
47.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y))
67.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
39.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
39.2%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))))))
78.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
12.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
42.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
31.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
41.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
2.2%
#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 1 204 to 800 computations (33.6% saved)

simplify237.0ms (2.6%)

Memory
11.8MiB live, 173.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
065620
095596
1141581
2229573
3717567
42177561
53998556
67228556
08197538
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.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
#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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (fma.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 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(+.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)
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y))
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
z
#s(literal 1/2 binary64)
y
(*.f64 (*.f64 z z) #s(literal -1/3 binary64))
(*.f64 z z)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
#s(approx (/ y (+ z y)) (/.f64 y z))
(/.f64 y z)
y
z
Outputs
(+.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
#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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.f64 (+.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 (fma.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 (fma.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 (fma.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 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(-.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)
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))) z #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y))))
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)
(*.f64 (/.f64 (/.f64 z y) y) (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)) y) z)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) z (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y)) z)
(*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
z
#s(literal 1/2 binary64)
y
(*.f64 (*.f64 z z) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 z z))
(*.f64 z z)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
#s(approx (/ y (+ z y)) (/.f64 y z))
(/.f64 y z)
y
z

localize435.0ms (4.7%)

Memory
-16.1MiB live, 586.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)
accuracy11.739697584648047
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
accuracy29.50201787820547
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
accuracy38.02220576497563
#s(approx (/ y (+ z y)) (/.f64 y z))
accuracy5.8007564799624705
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))
accuracy11.415832331030582
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)
accuracy26.19812295914719
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)))
accuracy41.539526598103656
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y))
accuracy0.015625
(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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)
accuracy0.03515625
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
accuracy0.0546875
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy25.926205756381687
#s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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)
accuracy30.519459974224176
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
accuracy50.090463185163415
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
accuracy0.0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy0.00390625
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy0.015625
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy24.87996100755517
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
Samples
209.0ms119×1valid
118.0ms27×2valid
51.0ms110×0valid
Compiler

Compiled 372 to 56 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 339.0ms
ival-pow: 167.0ms (49.3% of total)
ival-mult: 51.0ms (15.1% of total)
ival-add: 36.0ms (10.6% of total)
ival-div: 28.0ms (8.3% of total)
ival-log: 22.0ms (6.5% of total)
adjust: 17.0ms (5% of total)
const: 12.0ms (3.5% of total)
ival-exp: 4.0ms (1.2% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
18.2MiB live, 54.5MiB allocated
Counts
22 → 205
Calls
Call 1
Inputs
(+.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))
#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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (fma.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 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
#s(approx (/ y (+ z y)) (/.f64 y z))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* 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)))))))
(* 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 y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y)
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* -1/3 (pow z 2))
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 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)))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) 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))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* -1/3 (/ (pow z 2) y))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) y)
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(* -1 z)
(+ (* -1 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)))))
(+ x (/ (pow (exp (* -1/2 z)) 2) y))
(+ x (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (pow (exp (* -1/2 z)) 2) y)))
(+ x (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))) (/ (pow (exp (* -1/2 z)) 2) y)))))
(/ (pow (exp (* -1/2 z)) 2) y)
(/ (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2)) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))) y)
(/ (+ (* 1/16 (/ (* (pow (exp (* -1/2 z)) 2) (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (pow y 2))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))))))) (pow y 3))) (+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/384 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/48 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (* 1/48 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))))))) (pow y 3))) (+ (* 2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* 1/32 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/12 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))) (pow (exp (* -1/2 z)) 2)))))) y)
(pow (exp (* -1/2 z)) 2)
(+ (* 1/2 (/ (* (pow (exp (* -1/2 z)) 2) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (pow (exp (* -1/2 z)) 2))
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(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(/ (* (pow z 2) (- (* -1/2 y) 1/3)) y)
(* (pow z 2) (- (+ -1/2 (* 1/2 (/ 1 z))) (* 1/3 (/ 1 y))))
(+ 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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(/ (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)))
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(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ x (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
(+ x (+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y)))
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(+ (* -1 (/ (* y (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (/ (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) y))
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(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/48 (pow y 6)) (+ (* 1/12 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (* 1/8 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) (* (pow y 2) (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))))) z)) (+ (* 1/4 (* (pow y 4) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) (* 2 (* (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))))) z)) (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
y
@-inf
((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y))
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))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y))
3.0ms
z
@-inf
((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y))
3.0ms
z
@inf
((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y))
3.0ms
y
@0
((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) (+ 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)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* (* z z) -1/3)) y))

simplify240.0ms (2.6%)

Memory
14.7MiB live, 170.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09587979
130146963
089966631
Stop Event
iter limit
node limit
Counts
205 → 204
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* 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)))))))
(* 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 y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/24 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))))) (/ 1 z))))))) y)
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(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* -1/3 (pow z 2))
(+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 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)))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) 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))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(* -1/3 (/ (pow z 2) y))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) y)
(+ 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)
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(pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) #s(literal 2 binary64))
(+ (* -1 (/ (* (pow y 2) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2)) z)) (pow (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) 2))
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rewrite402.0ms (4.3%)

Memory
-20.1MiB live, 172.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065507
095483
1410459
23455459
09044451
Stop Event
iter limit
node limit
iter limit
Counts
22 → 334
Calls
Call 1
Inputs
(+.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))
#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)
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(/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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)
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(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y)
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64)))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)
(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
#s(approx (/ y (+ z y)) (/.f64 y z))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y)
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.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) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.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) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.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) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.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) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.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) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.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) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.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) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) x)
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)
(fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) (/.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 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)
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))
(*.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.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))) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) y))
(neg.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))
(exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal -1 binary64)))
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
#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 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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))) (pow.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 x x) (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 x)) (+.f64 (pow.f64 (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 y (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z))) y))
(/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64))) y))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/9 binary64))) (*.f64 y (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) z (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 3 binary64))) (*.f64 y (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))) (neg.f64 y))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))))) #s(literal -1 binary64)))

eval217.0ms (2.3%)

Memory
15.7MiB live, 166.4MiB allocated
Compiler

Compiled 30 513 to 2 819 computations (90.8% saved)

prune47.0ms (0.5%)

Memory
20.3MiB live, 59.8MiB allocated
Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New5324536
Fresh178
Picked235
Done077
Total53521556
Accuracy
100.0%
Counts
556 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
67.7%
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
59.8%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) y))
85.4%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
71.0%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
65.4%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
61.7%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
86.3%
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
70.3%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
34.1%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))
64.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
31.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
47.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y))
67.7%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
39.2%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
78.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
12.1%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
42.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
31.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
41.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
2.2%
#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 1 769 to 709 computations (59.9% saved)

regimes126.0ms (1.4%)

Memory
-31.0MiB live, 142.8MiB allocated
Counts
31 → 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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #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))
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (*.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)))) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z))) 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))
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
Calls

5 calls:

84.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
11.0ms
z
11.0ms
x
9.0ms
y
9.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
88.2%1x
99.5%3y
92.0%3z
88.2%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
95.5%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes12.0ms (0.1%)

Memory
-21.0MiB live, 23.9MiB allocated
Counts
24 → 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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #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))
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) 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

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
99.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
23 → 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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #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))
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 #s(approx (+ (* (* (+ (* -1/2 z) 1/2) z) y) (* -1/3 (* z z))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y)) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (fma.f64 z (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (*.f64 (*.f64 z z) #s(literal -1/3 binary64))) y) y)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (*.f64 #s(literal -1/3 binary64) (*.f64 z z))) (*.f64 y y))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y 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)))
Outputs
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) 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
7.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
88.0%2(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
90.5%2y
Compiler

Compiled 12 to 12 computations (0% saved)

regimes19.0ms (0.2%)

Memory
6.7MiB live, 45.9MiB allocated
Counts
13 → 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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #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))
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y 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))))) (fma.f64 (fma.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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 (fma.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))
Outputs
(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.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

4 calls:

5.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Results
AccuracySegmentsBranch
86.3%1x
88.0%2(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
87.9%2z
89.7%2y
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes13.0ms (0.1%)

Memory
-7.6MiB live, 31.1MiB allocated
Counts
7 → 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 (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #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))
(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

4 calls:

4.0ms
y
3.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
3.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
3.0ms
z
Results
AccuracySegmentsBranch
86.3%1z
86.3%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
86.3%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
86.3%1y
Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes9.0ms (0.1%)

Memory
-15.7MiB live, 23.3MiB allocated
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:

3.0ms
y
1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
41.4%1z
41.4%1x
41.4%1y
41.4%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
41.4%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes6.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #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:

1.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.2%1z
2.2%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.2%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.2%1y
2.2%1x
Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch48.0ms (0.5%)

Memory
-8.8MiB live, 110.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
22.0ms
6.486795766469453e-43
1.2863492244899138e-31
21.0ms
-27734634.61165961
-1529.9297739539802
Samples
20.0ms256×0valid
5.0ms72×0invalid
Compiler

Compiled 528 to 448 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 4.0ms (23.6% of total)
ival-log: 4.0ms (23.6% of total)
ival-exp: 3.0ms (17.7% of total)
ival-add: 3.0ms (17.7% of total)
ival-mult: 2.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
6.486795766469453e-43
1.2863492244899138e-31
1.0ms
-27734634.61165961
-1529.9297739539802
Compiler

Compiled 512 to 432 computations (15.6% saved)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-27734634.61165961
-1529.9297739539802
Compiler

Compiled 520 to 344 computations (33.8% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-27734634.61165961
-1529.9297739539802
Compiler

Compiled 464 to 320 computations (31% saved)

simplify68.0ms (0.7%)

Memory
-12.5MiB live, 70.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
063263
185249
2105249
3131249
4144245
5156241
6178241
7450241
84207241
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 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 -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) 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 -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.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 -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 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 -1550 binary64)) (not (<=.f64 y #s(literal 35681192317649/356811923176489970264571492362373784095686656 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 -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) 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 -1550 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) 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 -1550 binary64)) (+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.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)))
(if (<=.f64 y #s(literal -1550 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.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)))

soundness1.1s (11.6%)

Memory
-14.2MiB live, 537.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09587979
130146963
089966631
010088682
132407602
088527236
01052
01752
16446
245846
3647646
0804746
065507
095483
1410459
23455459
09044451
08617665
127306749
085026416
045361
073309
1324309
22621308
08607302
06033912
118143296
260422954
082382801
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 464 to 217 computations (53.2% saved)

preprocess71.0ms (0.8%)

Memory
34.6MiB live, 114.5MiB allocated
Compiler

Compiled 602 to 184 computations (69.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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