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

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze343.0ms (3.8%)

Memory
-3.3MiB live, 243.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.7%6.2%87.4%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
20.7%18.7%71.8%0.1%0%9.4%0%9
34.5%29.6%56.2%0.1%0%14%0%10
34.5%29.6%56.2%0.1%0%14%0%11
50.5%42.1%41.3%0.1%0%16.4%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.3s (25.4%)

Memory
-15.5MiB live, 2 693.0MiB allocated
Samples
1.1s2 226×1valid
733.0ms6 030×0valid
111.0ms875×0invalid
4.0ms32×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-log: 680.0ms (43.1% of total)
ival-add: 290.0ms (18.4% of total)
ival-div: 210.0ms (13.3% of total)
ival-mult: 188.0ms (11.9% of total)
ival-exp: 131.0ms (8.3% of total)
adjust: 69.0ms (4.4% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain236.0ms (2.6%)

Memory
27.8MiB live, 315.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15143(-1.3450322328788566e-157 -1.3238618887386711e+284 -5.032298210490223e-220)2(-1.8312369334850632e-112 5.508659324531568e-184 1.3451597022570949e+131)(log.f64 (/.f64 y (+.f64 z y)))
460-3(2.572734411310057e-5 -2.247255550763707e+88 2.244062021637729e-224)(*.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)))sensitivity1751
log.f64(log.f64 (/.f64 y (+.f64 z y)))uflow-rescue170
↳(log.f64 (/.f64 y (+.f64 z y)))underflow43
↳(/.f64 y (+.f64 z y))underflow17
*.f64(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))n*u100
Confusion
Predicted +Predicted -
+450
-14764
Precision
0.234375
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4500
-147163
Precision?
0.23316062176165803
Recall?
1.0
Freqs
test
numberfreq
064
1182
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
84.0ms278×1valid
45.0ms60×2valid
19.0ms174×0valid
Compiler

Compiled 191 to 44 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-log: 54.0ms (46.2% of total)
ival-add: 23.0ms (19.7% of total)
ival-div: 13.0ms (11.1% of total)
ival-mult: 9.0ms (7.7% of total)
ival-exp: 9.0ms (7.7% of total)
adjust: 8.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess211.0ms (2.3%)

Memory
-7.1MiB live, 185.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051130
1124104
2327102
31104102
44310102
01013
01713
12511
24211
39511
431411
5261611
6678311
0818611
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.8%
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify171.0ms (1.9%)

Memory
19.4MiB live, 93.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
cost-diff0
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
cost-diff0
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
cost-diff6656
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01058
01758
12552
24252
39552
431452
5261652
6678352
0818652
Stop Event
1×iter limit
1×node limit
1×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

localize142.0ms (1.6%)

Memory
-20.5MiB live, 99.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy0.015625
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy10.436747979049636
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy34.276738903016046
(log.f64 (/.f64 y (+.f64 z y)))
Samples
73.0ms139×1valid
44.0ms87×0valid
14.0ms30×2valid
Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-log: 28.0ms (50.5% of total)
ival-div: 7.0ms (12.6% of total)
ival-mult: 7.0ms (12.6% of total)
ival-add: 5.0ms (9% of total)
adjust: 4.0ms (7.2% of total)
ival-exp: 4.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
2.5MiB live, 38.9MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(+ (log y) (log (/ 1 z)))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(* z (- (* 1/2 (/ z y)) 1))
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ (* -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))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
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))))
6.0ms
x
@0
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
5.0ms
y
@inf
((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
4.0ms
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))))
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))))

simplify311.0ms (3.4%)

Memory
10.2MiB live, 214.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05203630
118323014
084562869
Stop Event
1×iter limit
1×node limit
Counts
108 → 107
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(+ (log y) (log (/ 1 z)))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
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(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
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(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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 (* -1/2 (/ (+ (* -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))
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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))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
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(+ 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)))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
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Outputs
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
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1
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(+ x (/ (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) x)
(+ x (+ (* -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 (/.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) z) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) y))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) z)) 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 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) 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) z) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) y))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) y)) z))
(+ (* -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 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y))) z)) z))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y)
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (*.f64 (neg.f64 y) y) z))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
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(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) y (/.f64 (fma.f64 y y (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) z) #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 z))) (neg.f64 z)))
(+ (log (* -1 y)) (log (/ -1 z)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 y z) (log.f64 (neg.f64 y))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) y) z) (log.f64 (neg.f64 y))))
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(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))) (/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) z) #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z)) z))

rewrite192.0ms (2.1%)

Memory
10.8MiB live, 241.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
01747
16941
252541
3796141
0807239
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 296
Calls
Call 1
Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64)))) (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y y)) (pow.f64 (+.f64 z y) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64)))) (neg.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))) (fabs.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 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 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log1p.f64 (/.f64 z y)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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(log.f64 (/.f64 y (+.f64 z y)))

eval56.0ms (0.6%)

Memory
-7.8MiB live, 114.4MiB allocated
Compiler

Compiled 14 132 to 1 723 computations (87.8% saved)

prune18.0ms (0.2%)

Memory
9.7MiB live, 49.0MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New38914403
Fresh000
Picked101
Done000
Total39014404
Accuracy
100.0%
Counts
404 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) x)
83.8%
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
83.8%
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x)
▶85.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
57.4%
(+.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 -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶64.3%
(+.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))
66.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
83.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
▶83.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
44.5%
(+.f64 x (*.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64))))
▶55.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
55.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
38.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
▶39.8%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Compiler

Compiled 658 to 432 computations (34.3% saved)

simplify141.0ms (1.5%)

Memory
-11.7MiB live, 144.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff0
(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
cost-diff320
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
cost-diff576
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
cost-diff704
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
cost-diff704
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y))
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 (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)))
cost-diff0
(/.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)
cost-diff0
(+.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))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (* 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
050493
085493
1136465
2318451
31164451
45529444
08066433
Stop Event
1×iter limit
1×node limit
1×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)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (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 (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 (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 (+.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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 z)
z
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
#s(literal 1 binary64)
(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
y
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(+.f64 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)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (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 (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 #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 (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)))
#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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) y)) x)
x
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) y))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) y)
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) z #s(literal -1 binary64)) y)
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y)
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(neg.f64 z)
z
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
#s(literal 1 binary64)
(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
y
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 y (+.f64 z y))
(+.f64 z y)
z

localize296.0ms (3.2%)

Memory
2.6MiB live, 321.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
accuracy0.01171875
(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
accuracy5.082873026430763
(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy3.399070727385897
(fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y))
accuracy4.274322020544846
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64))
accuracy10.460861125717622
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
accuracy13.587557921908044
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
accuracy0.015625
(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))
accuracy0.015625
(/.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)
accuracy0.0390625
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy12.919265327438325
#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)))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy23.273839626144596
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy0
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy0.0078125
(+.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)
accuracy15.034921303140507
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
Samples
147.0ms118×1valid
42.0ms65×0valid
33.0ms37×1exit
15.0ms10×2valid
11.0ms26×0exit
Compiler

Compiled 879 to 95 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-pow: 58.0ms (27.1% of total)
ival-mult: 37.0ms (17.3% of total)
ival-add: 34.0ms (15.9% of total)
ival-div: 26.0ms (12.2% of total)
ival-log: 23.0ms (10.7% of total)
adjust: 15.0ms (7% of total)
const: 9.0ms (4.2% of total)
ival-exp: 5.0ms (2.3% of total)
ival-sub: 5.0ms (2.3% 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)

series49.0ms (0.5%)

Memory
12.6MiB live, 50.0MiB allocated
Counts
21 → 194
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)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (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 (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 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* -1/3 (/ (pow z 2) (pow y 3)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 3))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 3))
(* -1/3 (/ z (pow y 3)))
(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 3))
(/ (+ (* -1/3 z) (* y (+ 1/2 (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z))))))) (pow y 3))
(* -1/3 (/ (pow z 3) (pow y 3)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 3))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 3))
(/ 1/3 (pow y 2))
(/ (+ 1/3 (* 1/2 y)) (pow y 2))
(/ (+ 1/3 (* y (+ 1/2 (* 1/6 y)))) (pow y 2))
y
(* y (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z)))))))
(* y (+ 1 (* y (- (* y (- (/ 1 z) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2))))) (+ (log y) (log (/ 1 z)))))))
(* y (+ 1 (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (* (+ (log y) (log (/ 1 z))) (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (/ 1 z) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2))))))))))) (/ 1 z)) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2))))) (+ (log y) (log (/ 1 z)))))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
(* -1/3 (/ z (pow y 2)))
(/ (+ (* -1/2 (* y z)) (* -1/3 z)) (pow y 2))
(/ (+ (* -1/3 z) (* y (+ (* -1/2 z) (* y (+ 1/2 (* -1/6 z)))))) (pow y 2))
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(* -1 z)
(+ (* -1 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 (- (* 1/2 z) 1)))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
(/ (- (* z (+ 1/2 (* -1/6 z))) 1) y)
(/ (- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1) y)
(/ (- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1) y)
(/ (+ 1/2 (* -1/6 z)) y)
(/ (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) y)
(/ (+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))) y)
(/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)
(/ (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) y)
(/ (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) y)
1/6
(+ 1/6 (* 1/2 (/ 1 y)))
(+ 1/6 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y))))
(/ y (exp (* -1 z)))
(* y (+ (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp (* -1 z))))) (/ 1 (exp (* -1 z)))))
(* y (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp (* -1 z)))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp (* -1 z)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp (* -1 z)))))) (pow y 2))) (/ 1 (exp (* -1 z)))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp (* -1 z)))))))
(* y (- (+ (* -1 (/ (+ (* -1/2 (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp (* -1 z)))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (exp (* -1 z)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (exp (* -1 z)))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (exp (* -1 z)))) (+ (* 1/48 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3) (exp (* -1 z)))) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (exp (* -1 z)))) (* 1/12 (/ (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (exp (* -1 z)))))))) (pow y 3))) (/ 1 (exp (* -1 z)))) (+ (* -1/4 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp (* -1 z))))) (+ (* 1/8 (/ (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2) (* (pow y 2) (exp (* -1 z))))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (* (pow y 2) (exp (* -1 z))))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) (* y (exp (* -1 z))))))))))
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(+ 1/2 (* -1/6 z))
(+ 1/2 (+ (* -1/2 (/ z y)) (* -1/6 z)))
(+ 1/2 (+ (* -1/2 (/ z y)) (+ (* -1/3 (/ z (pow y 2))) (* -1/6 z))))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
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Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2))
8.0ms
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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2))
7.0ms
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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2))
7.0ms
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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2))
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)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2))

simplify197.0ms (2.2%)

Memory
4.8MiB live, 201.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09156222
134035594
083755300
Stop Event
1×iter limit
1×node limit
Counts
194 → 192
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
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(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
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1
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(/ 1/3 (pow y 2))
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y
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1/6
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(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 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)) (*.f64 z z))
(* -1 (* (pow z 2) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))
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(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (+ (/ 1/2 (* y z)) (/ 1/2 (* (pow y 2) z)))))
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(* (pow z 2) (+ (* -1 (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z))) z))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 z)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) (*.f64 z z))
(* -1 (* z (+ (* 1/3 (/ 1 (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/6 (/ 1 y))))))
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) z)
(* -1 (* z (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z)) (neg.f64 z))
(* -1 (* (pow z 3) (+ (* 1/6 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* 1/3 (/ 1 (pow y 3)))))))
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(*.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) z)) (+ (* 1/6 (/ 1 y)) (+ (* 1/3 (/ 1 (pow y 3))) (* 1/2 (/ 1 (pow y 2))))))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) z)))
(/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))
(/.f64 y (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))
(+ (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (/ (pow y 3) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) y) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow y 5) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (pow y 3) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ (* -1 (/ (pow y 5) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) z)) (+ (* -1 (/ (* (pow y 3) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* y (+ (* 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 (/ (pow y 5) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) z)) (/ (pow y 3) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))
(-.f64 (/.f64 y (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) y (neg.f64 (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) z)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) y) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 y y)))) y (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) y (neg.f64 (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))) (neg.f64 z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))) z))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal 1 binary64)))
(* -1 (* z (- (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))) (* 1/2 (/ 1 z)))))
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))

rewrite203.0ms (2.2%)

Memory
-28.7MiB live, 186.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049356
083342
1391322
23556322
08413322
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 554
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)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (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 (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 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
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(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64))
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 (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z #s(literal -1 binary64))
(fma.f64 z (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))) z))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) z))
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y) z (pow.f64 y #s(literal -1 binary64))) z (pow.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)) z #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y))) z #s(literal 1/2 binary64))
(fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y))) (neg.f64 z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z)))

eval161.0ms (1.8%)

Memory
14.1MiB live, 192.7MiB allocated
Compiler

Compiled 33 540 to 4 027 computations (88% saved)

prune64.0ms (0.7%)

Memory
-21.8MiB live, 73.1MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New75511766
Fresh459
Picked235
Done000
Total76119780
Accuracy
100.0%
Counts
780 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.8%
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
83.8%
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x)
✓85.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶67.3%
(+.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))
65.7%
(+.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))
66.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
64.4%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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))
39.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
83.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
✓83.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
▶70.1%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
72.2%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
53.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y (*.f64 y (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
66.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
68.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
77.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 x (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x))
▶38.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
✓39.8%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
▶2.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 1 046 to 713 computations (31.8% saved)

simplify209.0ms (2.3%)

Memory
37.2MiB live, 189.4MiB allocated
Algorithm
1×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 (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)))
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
cost-diff1024
(fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(/.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)
cost-diff0
(+.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))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(+.f64 z y)
cost-diff0
(/.f64 y (+.f64 z y))
cost-diff0
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
cost-diff8192
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045388
073388
1113371
2238367
3739343
43687343
08543332
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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))
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)
#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)))
(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))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)))
#s(literal 1 binary64)
#s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)
(fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y)
(fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
(neg.f64 y)
y
(+.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)
z
#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
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 1/2 binary64) y))
(/.f64 y (+.f64 z y))
y
(+.f64 z y)
z
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 #s(literal 1/2 binary64) y)) y)
x
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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 (/.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) x)
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)
#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)))
(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))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
y
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z y) z y))) x)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z y) z y)))
#s(literal 1 binary64)
#s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))
#s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z y) z y))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z y) z y)
(fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z y)
(fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))
(neg.f64 y)
y
(+.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)
z
#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

localize438.0ms (4.8%)

Memory
-3.0MiB live, 356.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z y)
accuracy0.015625
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy5.082873026430763
(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy22.66027549397556
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
accuracy0.01171875
(fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)))
accuracy0.08203125
(fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
accuracy12.905983403620386
#s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))
accuracy0.015625
(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))
accuracy0.015625
(/.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)
accuracy12.919265327438325
#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)))
accuracy15.271224223332672
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy47.12431317620172
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy0.01171875
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
accuracy0.01171875
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)
accuracy5.067321696172463
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
Samples
220.0ms87×1valid
69.0ms37×1exit
50.0ms26×0exit
31.0ms106×0valid
Compiler

Compiled 661 to 88 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 342.0ms
ival-pow: 173.0ms (50.6% of total)
ival-add: 63.0ms (18.4% of total)
ival-exp: 38.0ms (11.1% of total)
ival-log: 19.0ms (5.6% of total)
ival-div: 18.0ms (5.3% of total)
ival-mult: 18.0ms (5.3% of total)
adjust: 10.0ms (2.9% 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)

series50.0ms (0.5%)

Memory
15.3MiB live, 85.6MiB allocated
Counts
21 → 206
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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 #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)
#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)))
(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))
(fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)))
#s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))
#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 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z 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
(+ 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)))))))
(/ 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)))
z
(+ y 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)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
(+ 1 (* y (+ (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)))))))
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Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@inf
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6.0ms
z
@-inf
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6.0ms
y
@-inf
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6.0ms
y
@inf
((+ (* (pow (/ y (+ z y)) (* y 1/2)) (/ (pow (/ y (+ z y)) (* y 1/2)) y)) x) (pow (/ y (+ z y)) (* y 1/2)) (/ y (+ z y)) (+ z y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ 1 (/ y (pow (/ y (+ z y)) y))) (/ y (pow (/ y (+ z y)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ (pow (/ y (+ z y)) (* y 1/2)) y) (* y 1/2) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y))
5.0ms
x
@-inf
((+ (* (pow (/ y (+ z y)) (* y 1/2)) (/ (pow (/ y (+ z y)) (* y 1/2)) y)) x) (pow (/ y (+ z y)) (* y 1/2)) (/ y (+ z y)) (+ z y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ 1 (/ y (pow (/ y (+ z y)) y))) (/ y (pow (/ y (+ z y)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ (pow (/ y (+ z y)) (* y 1/2)) y) (* y 1/2) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y))

simplify235.0ms (2.6%)

Memory
11.2MiB live, 247.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010937914
140236622
085246339
Stop Event
1×iter limit
1×node limit
Counts
206 → 203
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)
(/ (+ 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
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z))))))
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(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
z
(+ y z)
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-1/2
(- (* 1/2 y) 1/2)
y
(* y (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z)))))))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ (* -1 (/ (pow y 5) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) z)) (+ (* -1 (/ (* (pow y 3) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* y (+ (* 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 (/ (pow y 5) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) z)) (/ (pow y 3) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))
(/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y)
(+ (* -1/2 (/ (* y (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (* y z))) (* 1/2 (* y (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 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)))))))) (* y z))) (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)) z)) (* 1/2 (* y (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ y (* -1 (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 (/ y z)))))
Outputs
(/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y)
(/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y)
(+ x (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) y))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) y) x)
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(* x (+ 1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))))
(*.f64 (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)) x)
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (pow (exp (* 1/2 (* y (log (/ y (+ y z)))))) 2) (* x y))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) y)) (log.f64 (/.f64 y (+.f64 z y)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x y))) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 (-.f64 (+.f64 x (log.f64 y)) (log.f64 z)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1/2 (/ (+ (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)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))))) y (/.f64 #s(literal -1 binary64) z))) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64))
(+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) y (*.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1/2 binary64))) y #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 z z)))) y (/.f64 #s(literal -1/2 binary64) z))) y (*.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1/2 binary64))) y #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z))) y)
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(*.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y)
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal 1 binary64) z)) y)
z
(+ y z)
(+.f64 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)
(/.f64 (fma.f64 (+.f64 (+.f64 x (log.f64 y)) (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) y (/.f64 #s(literal -1 binary64) z))) y (neg.f64 (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 (log.f64 z))) (log.f64 y)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) y (/.f64 #s(literal -1 binary64) z))) y (neg.f64 (log.f64 z))) (log.f64 y)) y #s(literal 1 binary64)) y)
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(fma.f64 (-.f64 (log.f64 y) (log.f64 z)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 (log.f64 z))) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)) y (/.f64 #s(literal -1 binary64) z))) y (neg.f64 (log.f64 z))) (log.f64 y)) y #s(literal 1 binary64))
(* 1/2 (/ (pow z 2) y))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(/.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)
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 y) 1/2)
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))
y
(* y (+ 1 (* -1 (* y (+ (log y) (log (/ 1 z)))))))
(*.f64 (fma.f64 (neg.f64 y) (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (/ 1 z) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2))))) (+ (log y) (log (/ 1 z)))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (neg.f64 (-.f64 (log.f64 y) (log.f64 z)))) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (* (+ (log y) (log (/ 1 z))) (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))) (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (+ (* 1/2 (/ 1 (pow z 2))) (* (+ (log y) (log (/ 1 z))) (- (/ 1 z) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2))))))))))) (/ 1 z)) (+ (* -1 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2))))) (+ (log y) (log (/ 1 z)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 y) (log.f64 z)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (log.f64 y) (log.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) y (neg.f64 (-.f64 (log.f64 y) (log.f64 z)))) y #s(literal 1 binary64)) y)
(/ (+ 1 (* 1/2 (* y (+ (log y) (log (/ 1 z)))))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ (* 1/2 (+ (log y) (log (/ 1 z)))) (* y (- (* 1/8 (pow (+ (log y) (log (/ 1 z))) 2)) (* 1/2 (/ 1 z))))))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) z)) y (*.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y)
(/ (+ 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))))))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 z z)))) y (/.f64 #s(literal -1/2 binary64) z))) y (*.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1/2 binary64))) y #s(literal 1 binary64)) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 (/ z y))
(*.f64 (/.f64 z y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* y (+ 1 (* 1/2 z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y (*.f64 #s(literal -1/2 binary64) z))
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(/.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))
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(-.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))))
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(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)))))
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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)))
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(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 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)) (*.f64 z z))
(/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))
(/.f64 y (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))
(+ (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (/ (pow y 3) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) y) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow y 5) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (pow y 3) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))
(-.f64 (/.f64 y (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y (neg.f64 (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))) z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 y) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (neg.f64 y)))))) z))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ (* -1 (/ (pow y 5) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) z)) (+ (* -1 (/ (* (pow y 3) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* z (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) (/ (* y (+ (* 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 (/ (pow y 5) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))) z)) (/ (pow y 3) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))))
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(/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y)
(/.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)))) y)
(+ (* -1/2 (/ (* y (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y))
(fma.f64 (*.f64 y (/.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)))) z)) #s(literal -1/2 binary64) (/.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)))) y))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) (* y z))) (* 1/2 (* y (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y))
(-.f64 (/.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)))) y) (/.f64 (fma.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)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64))) (*.f64 z y))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (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)))))) z))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 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)))))))) (* y z))) (/ (* (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))))) y)) z)) (* 1/2 (* y (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z))))))))) z)) (/ (exp (* 1/2 (* y (+ (log (* -1 y)) (log (/ -1 z)))))) y))
(-.f64 (/.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)))) y) (/.f64 (fma.f64 (*.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)))) y) #s(literal 1/2 binary64) (/.f64 (fma.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)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)))) (*.f64 z y))) (*.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)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64))) y))) (neg.f64 z))) z))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ y (* -1 (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 (/ y z)))))
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) (neg.f64 z))

rewrite230.0ms (2.5%)

Memory
-29.6MiB live, 209.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045332
073322
1313309
22553309
08636304
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 517
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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 #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)
#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)))
(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))
(fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y)))
#s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))
#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 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal -1 binary64)))
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#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z)))
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(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z)) (pow.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z)) (pow.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (neg.f64 y) y) z) y)
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eval214.0ms (2.3%)

Memory
36.3MiB live, 303.4MiB allocated
Compiler

Compiled 38 461 to 3 760 computations (90.2% saved)

prune37.0ms (0.4%)

Memory
-15.3MiB live, 107.5MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New9496955
Fresh11011
Picked325
Done123
Total95420974
Accuracy
100.0%
Counts
974 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) y) x)
▶67.3%
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
✓85.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓67.3%
(+.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))
▶65.7%
(+.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))
▶66.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
64.4%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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))
39.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
▶83.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
70.0%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
72.4%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
72.2%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
53.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y (*.f64 y (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
66.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
68.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
77.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 x (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x))
27.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
▶37.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
✓39.8%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
✓2.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 1 173 to 793 computations (32.4% saved)

simplify161.0ms (1.8%)

Memory
-16.9MiB live, 152.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (/.f64 (+.f64 z y) y) y)
cost-diff0
(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
cost-diff0
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
cost-diff0
(/.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)
cost-diff0
(+.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))
cost-diff192
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
cost-diff320
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(neg.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))))
cost-diff320
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
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
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045475
070475
1117448
2217435
3553435
41472435
56645435
08265418
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(+.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
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
(neg.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))))
#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)))
(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))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) y)
y
x
(+.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))
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)
#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)))
(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))
#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))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
y
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
(pow.f64 (/.f64 (+.f64 z y) y) y)
(/.f64 (+.f64 z y) y)
(+.f64 z y)
z
y
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
x
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(+.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
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 (/.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) x)
(neg.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))))
#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)))
(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))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) y)
y
x
(+.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 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 (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 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 (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)))
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 #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))
(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (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 (+ (* (+ (/ 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))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 (fma.f64 z y z) #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
#s(literal 1/2 binary64)
z
#s(literal -1 binary64)
y
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1 binary64)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
(pow.f64 (/.f64 (+.f64 z y) y) y)
(/.f64 (+.f64 z y) y)
(+.f64 z y)
z
y

localize234.0ms (2.6%)

Memory
10.2MiB live, 278.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
accuracy0.01171875
(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
accuracy11.387866796537145
(pow.f64 (/.f64 (+.f64 z y) y) y)
accuracy30.55183125094639
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
accuracy0.015625
(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))
accuracy0.015625
(/.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)
accuracy5.243604466098715
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
accuracy21.004132928650037
#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)))
accuracy0.015625
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
accuracy0.015625
(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))
accuracy15.271224223332672
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
accuracy21.004132928650037
#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)))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0078125
(+.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)
accuracy19.32057370412253
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy0.0078125
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy0.015625
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy9.584987672708177
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
Samples
121.0ms108×1valid
31.0ms118×0valid
30.0ms17×1exit
3.0ms13×0exit
Compiler

Compiled 768 to 82 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
adjust: 61.0ms (38.7% of total)
ival-div: 23.0ms (14.6% of total)
ival-log: 22.0ms (14% of total)
ival-pow: 15.0ms (9.5% of total)
ival-add: 15.0ms (9.5% of total)
ival-mult: 14.0ms (8.9% of total)
ival-exp: 4.0ms (2.5% of total)
ival-neg: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.7%)

Memory
5.1MiB live, 164.7MiB allocated
Counts
22 → 183
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
(+.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 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
(neg.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))))
#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)))
(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))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(+.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 #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)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
(pow.f64 (/.f64 (+.f64 z y) y) y)
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
#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)))
(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))
Outputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
-1
(- (* -1 (* y (+ (log y) (log (/ 1 z))))) 1)
(- (* y (- (* y (- (/ 1 z) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1)
(- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)) (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)))) (+ (log y) (log (/ 1 z))))) 1)
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) y)
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
(* 1/2 z)
(+ (* 1/2 z) (* y (- (* 1/2 z) 1)))
(/ (+ 1 (* -1 (* y (+ (log z) (* -1 (log y)))))) y)
(/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow (+ (log z) (* -1 (log y))) 2)) (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (/ 1 z))))) (+ (log z) (* -1 (log y)))))) y)
(/ (+ 1 (* y (- (* y (- (* y (- (* 1/2 (/ 1 (pow z 2))) (+ (* -1 (* (+ (log z) (* -1 (log y))) (+ (* -1 (pow (+ (log z) (* -1 (log y))) 2)) (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (/ 1 z))))) (+ (* -1 (* (+ (log z) (* -1 (log y))) (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (/ 1 z)))) (+ (* -1 (/ (log y) z)) (+ (* 1/6 (pow (+ (log z) (* -1 (log y))) 3)) (/ (log z) z))))))) (+ (* -1 (pow (+ (log z) (* -1 (log y))) 2)) (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (/ 1 z))))) (+ (log z) (* -1 (log y)))))) y)
y
(* y (+ 1 (* y (+ (log z) (* -1 (log y))))))
(* y (+ 1 (* y (+ (log z) (+ (* -1 (log y)) (* y (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (/ 1 z))))))))
(* y (+ 1 (* y (+ (log z) (+ (* -1 (log y)) (* y (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (+ (* y (- (+ (* -1 (/ (log y) z)) (+ (* 1/6 (pow (+ (log z) (* -1 (log y))) 3)) (/ (log z) z))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))))))
(+ 1 (* y (+ (log z) (* -1 (log y)))))
(+ 1 (* y (+ (log z) (+ (* -1 (log y)) (* y (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log z) (+ (* -1 (log y)) (* y (+ (* 1/2 (pow (+ (log z) (* -1 (log y))) 2)) (+ (* y (- (+ (* -1 (/ (log y) z)) (+ (* 1/6 (pow (+ (log z) (* -1 (log y))) 3)) (/ (log z) z))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))))
(+ 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 (exp (* -1 z)))
(- (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (exp (* -1 z)))
(- (* -1 (/ (* (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))))
(- (* -1 (/ (* (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)) (+ (* 1/2 (/ (* (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)))))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(* y (- (* 1/2 z) 1))
(* y (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1))
(/ 1 (* y (exp z)))
(/ (+ (* 1/2 (/ (pow z 2) (* y (exp z)))) (/ 1 (exp z))) y)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* 1/8 (/ (pow z 4) (exp z))) (* 1/3 (/ (pow z 3) (exp z))))) (pow y 2))) (/ 1 (exp z))) (* -1/2 (/ (pow z 2) (* y (exp z))))) y)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* -1/6 (/ (pow z 5) (exp z))) (+ (* -1/48 (/ (pow z 6) (exp z))) (+ (* 1/2 (* (pow z 2) (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* 1/8 (/ (pow z 4) (exp z))) (* 1/3 (/ (pow z 3) (exp z))))))) (* 1/2 (/ (* (pow z 2) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) (exp z))))))) (pow y 3))) (/ 1 (exp z))) (+ (* -1/2 (/ (pow z 2) (* y (exp z)))) (+ (* -1/4 (/ (pow z 4) (* (pow y 2) (exp z)))) (+ (* 1/8 (/ (pow z 4) (* (pow y 2) (exp z)))) (* 1/3 (/ (pow z 3) (* (pow y 2) (exp z)))))))) y)
(* y (exp z))
(* y (+ (exp z) (* -1/2 (/ (* (pow z 2) (exp z)) y))))
(* y (+ (exp z) (+ (* -1/2 (/ (* (pow z 2) (exp z)) y)) (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) (pow y 2)))))
(* y (+ (exp z) (+ (* -1/2 (/ (* (pow z 2) (exp z)) y)) (+ (/ (* (exp z) (+ (* -1/4 (pow z 4)) (+ (* -1/6 (pow z 5)) (* -1/48 (pow z 6))))) (pow y 3)) (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) (pow y 2))))))
(exp z)
(+ (exp z) (* -1/2 (/ (* (pow z 2) (exp z)) y)))
(+ (exp z) (+ (* -1/2 (/ (* (pow z 2) (exp z)) y)) (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) (pow y 2))))
(+ (exp z) (+ (* -1/2 (/ (* (pow z 2) (exp z)) y)) (+ (/ (* (exp z) (+ (* -1/4 (pow z 4)) (+ (* -1/6 (pow z 5)) (* -1/48 (pow z 6))))) (pow y 3)) (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) (pow y 2)))))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(- (* -1 (/ (- (/ (* (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 (/ (- (/ (* (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)) (exp (* -1 z)))
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y)))))
(* -1 (/ (- (* -1/2 (/ (pow z 2) (* y (exp z)))) (/ 1 (exp z))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* 1/8 (/ (pow z 4) (exp z))) (* 1/3 (/ (pow z 3) (exp z))))) y)) (* 1/2 (/ (pow z 2) (exp z)))) y)) (/ 1 (exp z))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow z 2) (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* 1/8 (/ (pow z 4) (exp z))) (* 1/3 (/ (pow z 3) (exp z))))))) (+ (* -1/2 (/ (* (pow z 2) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) (exp z))) (+ (* 1/48 (/ (pow z 6) (exp z))) (+ (* 1/6 (/ (pow z 5) (exp z))) (* 1/4 (/ (pow z 4) (exp z))))))) y)) (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* 1/8 (/ (pow z 4) (exp z))) (* 1/3 (/ (pow z 3) (exp z)))))) y)) (* 1/2 (/ (pow z 2) (exp z)))) y)) (/ 1 (exp z))) y))
(* -1 (* y (+ (* -1 (exp z)) (* 1/2 (/ (* (pow z 2) (exp z)) y)))))
(* -1 (* y (+ (* -1 (exp z)) (* -1 (/ (+ (* -1/2 (* (pow z 2) (exp z))) (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) y)) y)))))
(* -1 (* y (+ (* -1 (exp z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3))))) (/ (* (exp z) (+ (* 1/48 (pow z 6)) (+ (* 1/6 (pow z 5)) (* 1/4 (pow z 4))))) y)) y)) (* -1/2 (* (pow z 2) (exp z)))) y)))))
(+ (exp z) (* -1 (/ (+ (* -1 (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) y)) (* 1/2 (* (pow z 2) (exp z)))) y)))
(+ (exp z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp z) (+ (* 1/48 (pow z 6)) (+ (* 1/6 (pow z 5)) (* 1/4 (pow z 4))))) y)) (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3))))) y)) (* 1/2 (* (pow z 2) (exp z)))) y)))
(+ x (/ 1 y))
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Calls

9 calls:

TimeVariablePointExpression
14.0ms
z
@0
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11.0ms
z
@inf
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10.0ms
y
@0
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1))
9.0ms
z
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1))
5.0ms
y
@-inf
((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1))

simplify369.0ms (4%)

Memory
-0.3MiB live, 246.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09126797
132956106
094055798
Stop Event
1×iter limit
1×node limit
Counts
183 → 181
Calls
Call 1
Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
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(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
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1
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-1
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(* 1/2 z)
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y
(* y (+ 1 (* y (+ (log z) (* -1 (log y))))))
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(* (pow z 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 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)) (*.f64 z z))
(* -1 (/ (* z (- (* -1/2 y) 1/2)) y))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) y))
(* -1 (* z (- (+ -1/2 (/ 1 z)) (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 z))
(* -1 (* z (- (* -1/2 y) 1/2)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1/2 binary64)) (neg.f64 z))
(* -1 (* z (- (+ (* -1/2 y) (/ y z)) 1/2)))
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 y z)) #s(literal 1/2 binary64)) (neg.f64 z))
(/ 1 (* y (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(+ (* -1 (/ y (* z (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))))) (/ 1 (* y (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))))))
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(* y (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))))
(*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y)
(+ (* y (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))) (/ (* (pow y 3) (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))) z))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) z) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y))
(+ (* -1 (/ (+ (* -1 (* (pow y 3) (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))))) (* -1 (/ (* y (* (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (+ (* -1/2 (pow y 3)) (* 1/2 (pow y 4))))) z))) z)) (* y (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))))
(fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y (/.f64 (neg.f64 (fma.f64 y (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (* (pow y 3) (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))))) (* -1 (/ (+ (* -1 (/ (* y (* (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (+ (* -1/3 (pow y 4)) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 5)))))) z)) (* y (* (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (+ (* -1/2 (pow y 3)) (* 1/2 (pow y 4)))))) z))) z)) (* y (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))))
(fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) y (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64))))) y (*.f64 (neg.f64 y) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/6 binary64)))) z)))) z))) (neg.f64 z)))
(exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z))))
(+ (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (/ (* (pow y 2) (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z))))))) z))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) z) (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(+ (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))))) (* -1 (/ (* (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (+ (* -1/2 (pow y 3)) (* 1/2 (pow y 4)))) z))) z)))
(-.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)))) z) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (*.f64 y y)))) z))
(+ (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (+ (* -1/3 (pow y 4)) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 5))))) z)) (* (exp (* y (+ (log (/ -1 y)) (* -1 (log (/ -1 z)))))) (+ (* -1/2 (pow y 3)) (* 1/2 (pow y 4))))) z))) z)))
(-.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (*.f64 y y) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/6 binary64)))) z)) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)))))) z))) z))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal 1 binary64)))

rewrite267.0ms (2.9%)

Memory
10.9MiB live, 251.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045410
070410
1322381
22624378
08418369
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 430
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
(+.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 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
(neg.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))))
#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)))
(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))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
(+.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 #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)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
(pow.f64 (/.f64 (+.f64 z y) y) y)
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
#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)))
(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))
Outputs
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eval95.0ms (1%)

Memory
9.6MiB live, 241.1MiB allocated
Compiler

Compiled 30 041 to 3 084 computations (89.7% saved)

prune68.0ms (0.8%)

Memory
-4.3MiB live, 123.5MiB allocated
Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New5999608
Fresh11011
Picked145
Done044
Total60127628
Accuracy
100.0%
Counts
628 → 27
Alt Table
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StatusAccuracyProgram
50.7%
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) y) x)
✓67.3%
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
66.9%
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x)
✓85.3%
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓67.3%
(+.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))
34.7%
(+.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y) (/.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (*.f64 #s(literal 1/2 binary64) z))))) z #s(literal 1 binary64))) y))
68.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y))
✓66.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
66.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) y))
41.5%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
64.4%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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))
39.9%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
✓83.8%
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
70.0%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
72.4%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
72.2%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
53.6%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y (*.f64 y (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
66.9%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
68.0%
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
77.4%
#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))
27.2%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
✓37.9%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
24.5%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
18.8%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
26.7%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
✓39.8%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
✓2.4%
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 2 108 to 866 computations (58.9% saved)

regimes90.0ms (1%)

Memory
-7.1MiB live, 116.3MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
(+.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(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) 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))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
(+.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(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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1/2 binary64) 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 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y) (/.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (*.f64 #s(literal 1/2 binary64) z))))) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y (*.f64 y (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
#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)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 x (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x))
#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))
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) (*.f64 y #s(literal 1/2 binary64))) y) x)
(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64))))
Outputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
Calls

5 calls:

40.0ms
z
13.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
11.0ms
y
11.0ms
x
11.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
87.4%2x
99.3%3y
89.4%2z
90.3%3(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
93.7%3(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes41.0ms (0.4%)

Memory
-23.6MiB live, 52.3MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
(+.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(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)))) 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))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z y) z y))))
(+.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(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 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1/2 binary64) 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 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y) (/.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (*.f64 #s(literal 1/2 binary64) z))))) z #s(literal 1 binary64))) y))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1/2 binary64)) y)) (neg.f64 z) #s(literal 1/2 binary64)) y (*.f64 y (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
Outputs
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
Calls

4 calls:

12.0ms
y
11.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
8.0ms
z
8.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
83.8%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
86.5%2z
83.8%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
89.4%3y
Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes13.0ms (0.1%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
(+.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(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
Outputs
(+.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(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))
Calls

3 calls:

4.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
85.7%2z
83.8%1x
87.9%3y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
-27.7MiB live, 9.4MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
(+.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))
Outputs
(+.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(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
87.9%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
(fma.f64 #s(approx (neg (exp (* y (log (/ y (+ z y)))))) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) #s(literal -1/2 binary64)) z y) z y))))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
Calls

2 calls:

3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
83.8%1z
85.3%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (+ z y) y) y) y) (fma.f64 z y y))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
Outputs
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
Calls

2 calls:

3.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
3.0ms
y
Results
AccuracySegmentsBranch
83.8%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
83.8%1y
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes11.0ms (0.1%)

Memory
-31.3MiB live, 14.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
Calls

5 calls:

3.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
39.8%1x
39.8%1z
39.8%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
39.8%1y
39.8%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

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
2.4%1x
2.4%1z
2.4%1(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.4%1y
2.4%1(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch46.0ms (0.5%)

Memory
-5.5MiB live, 72.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.8995327701916027e-32
4.784037230079493e-30
26.0ms
-237043565092570.75
-46506.69224539821
Samples
22.0ms272×0valid
6.0ms77×0invalid
Compiler

Compiled 543 to 458 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 5.0ms (26.6% of total)
ival-log: 5.0ms (26.6% of total)
ival-add: 4.0ms (21.3% of total)
ival-exp: 3.0ms (16% of total)
ival-mult: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8995327701916027e-32
4.784037230079493e-30
2.0ms
-237043565092570.75
-46506.69224539821
Compiler

Compiled 1 167 to 852 computations (27% saved)

bsearch3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8995327701916027e-32
4.784037230079493e-30
2.0ms
-237043565092570.75
-46506.69224539821
Compiler

Compiled 847 to 652 computations (23% saved)

bsearch4.0ms (0%)

Memory
-30.5MiB live, 8.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
2.8995327701916027e-32
4.784037230079493e-30
1.0ms
-237043565092570.75
-46506.69224539821
Compiler

Compiled 707 to 568 computations (19.7% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.8995327701916027e-32
4.784037230079493e-30
Compiler

Compiled 247 to 198 computations (19.8% saved)

simplify35.0ms (0.4%)

Memory
29.9MiB live, 71.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092429
1104429
2106429
3112429
4127429
5140429
6149429
7161429
8167429
9172429
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -47000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 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 -47000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))))
(if (<=.f64 y #s(literal -47000 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)) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))))
(if (<=.f64 y #s(literal -47000 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)) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))))
(if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y)))))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))
Outputs
(if (<=.f64 y #s(literal -47000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 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 -47000 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))
(if (<=.f64 y #s(literal -47000 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))))
(if (<=.f64 y #s(literal -47000 binary64)) (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (- (/ (+ (* (- (- 1/6 (/ -1/3 (* y y))) (/ -1/2 y)) (neg z)) 1/2) y) (/ -1/2 (* y y))) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (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) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))) x)))
(if (<=.f64 y #s(literal -47000 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)) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))))))
(if (<=.f64 y #s(literal -47000 binary64)) (+.f64 (/.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) x) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 #s(approx (+ (* (+ (* (neg y) (+ (/ 1/2 y) 1/2)) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) z y))) x)))
(if (<=.f64 y #s(literal -47000 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)) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))))
(if (<=.f64 y #s(literal -47000 binary64)) (+.f64 (/.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) x) (if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))) x)))
(if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y)))))
(if (<=.f64 y #s(literal 6708064155718011/1427247692705959881058285969449495136382746624 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))) x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal -1 binary64) y))

soundness851.0ms (9.3%)

Memory
12.3MiB live, 760.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010937914
140236622
085246339
05203630
118323014
084562869
09156222
134035594
083755300
01047
01747
16941
252541
3796141
0807239
049356
083342
1391322
23556322
08413322
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 699 to 292 computations (58.2% saved)

preprocess171.0ms (1.9%)

Memory
-16.7MiB live, 192.3MiB allocated
Compiler

Compiled 942 to 250 computations (73.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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