Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (18.5%)

Memory
46.1MiB live, 1 634.0MiB allocated
Samples
806.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-log: 168.0ms (32% of total)
ival-exp: 134.0ms (25.6% of total)
ival-sub: 90.0ms (17.2% of total)
ival-add: 61.0ms (11.6% of total)
ival-mult: 61.0ms (11.6% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain124.0ms (2%)

Memory
-17.6MiB live, 275.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
00-0-(log.f64 y)
00-0-y
00-0-(+.f64 x (*.f64 y (log.f64 y)))
00-0-(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))sensitivity10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 7.0ms (34.8% of total)
ival-exp: 4.0ms (19.9% of total)
ival-mult: 4.0ms (19.9% of total)
ival-sub: 2.0ms (9.9% of total)
ival-add: 2.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess409.0ms (6.5%)

Memory
10.2MiB live, 303.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03590
110590
231183
394883
4364381
089
0139
1269
2618
31628
44938
535658
081608
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify165.0ms (2.6%)

Memory
-7.8MiB live, 177.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
cost-diff0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
cost-diff1
(+.f64 x (*.f64 y (log.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01332
12632
26131
316231
449331
5356531
0816029
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(+.f64 x (*.f64 y (log.f64 y)))
x
(*.f64 y (log.f64 y))
y
(log.f64 y)
z
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y x)
x
(*.f64 y (log.f64 y))
(*.f64 (log.f64 y) y)
y
(log.f64 y)
z

localize24.0ms (0.4%)

Memory
39.6MiB live, 39.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy0.015625
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.025838710328575036
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.2578125
(*.f64 y (log.f64 y))
Samples
17.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (31% of total)
ival-exp: 2.0ms (20.7% of total)
ival-mult: 2.0ms (20.7% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series118.0ms (1.9%)

Memory
-28.9MiB live, 113.9MiB allocated
Counts
4 → 35
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 y (log.f64 y))
Outputs
(* y (log y))
(+ x (* y (log y)))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (+ x (* y (log y))) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
37.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
23.0ms
x
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
7.0ms
y
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
2.0ms
z
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))

simplify133.0ms (2.1%)

Memory
6.8MiB live, 147.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128484
1470416
21981388
08253369
Stop Event
iter limit
node limit
Counts
35 → 34
Calls
Call 1
Inputs
(* y (log y))
(+ x (* y (log y)))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (+ x (* y (log y))) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
Outputs
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) x) y x)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (log.f64 y) x) (neg.f64 y)) #s(literal 1 binary64)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- x z)
(-.f64 x z)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 z x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal -1 binary64)) z)

rewrite405.0ms (6.5%)

Memory
-17.3MiB live, 383.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
15327
242326
3604126
0810124
Stop Event
iter limit
node limit
iter limit
Counts
4 → 164
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 y (log.f64 y))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) y x) y) (log.f64 y) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) y x))
(*.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) (/.f64 (fma.f64 (log.f64 y) y x) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))))
(*.f64 (fma.f64 (log.f64 y) y x) (/.f64 (-.f64 x (*.f64 (log.f64 y) y)) (-.f64 x (*.f64 (log.f64 y) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y)))) (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y))))) (*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))) (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))))) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y))) (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y)))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (fma.f64 (log.f64 y) y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (+.f64 z (fma.f64 (log.f64 y) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (fma.f64 (log.f64 y) y x)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (log.f64 y) y x) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (neg.f64 (fma.f64 (log.f64 y) y x)) (/.f64 (neg.f64 (fma.f64 (log.f64 y) y x)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (fabs.f64 (fma.f64 (log.f64 y) y x)) (/.f64 (fabs.f64 (fma.f64 (log.f64 y) y x)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (fma.f64 (log.f64 y) y x) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(fma.f64 y (log.f64 y) (-.f64 x z))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 (*.f64 (log.f64 y) y) z))) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 2 binary64)) (-.f64 x (-.f64 (*.f64 (log.f64 y) y) z))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))) z))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(-.f64 (*.f64 (log.f64 y) y) (-.f64 z x))
(-.f64 x (fma.f64 (neg.f64 y) (log.f64 y) z))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x))))
(+.f64 (-.f64 x z) (*.f64 (log.f64 y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(+.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(+.f64 (-.f64 (*.f64 (log.f64 y) y) z) x)
(+.f64 (*.f64 (log.f64 y) y) (-.f64 x z))
(+.f64 x (-.f64 (*.f64 (log.f64 y) y) z))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(+.f64 (log.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64)))) (log.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y))))
(log.f64 (pow.f64 y y))

eval37.0ms (0.6%)

Memory
32.1MiB live, 75.0MiB allocated
Compiler

Compiled 6 400 to 839 computations (86.9% saved)

prune7.0ms (0.1%)

Memory
-22.6MiB live, 21.4MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1895194
Fresh000
Picked101
Done000
Total1905195
Accuracy
100.0%
Counts
195 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
78.9%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
78.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
53.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
66.5%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Compiler

Compiled 130 to 104 computations (20% saved)

simplify134.0ms (2.1%)

Memory
2.4MiB live, 235.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y (neg.f64 y))
cost-diff0
(exp.f64 x)
cost-diff1
(*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z))
cost-diff1
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
cost-diff0
(exp.f64 x)
cost-diff0
(pow.f64 y y)
cost-diff0
(*.f64 (pow.f64 y y) (exp.f64 x))
cost-diff0
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
cost-diff0
(-.f64 x z)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
cost-diff0
(*.f64 (log.f64 y) y)
cost-diff0
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
cost-diff0
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
cost-diff0
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028161
044161
176161
2163158
3420158
41785157
09214150
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
y
(exp.f64 x)
x
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
(exp.f64 x)
x
(*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z))
(pow.f64 y (neg.f64 y))
y
(neg.f64 y)
(exp.f64 z)
z
Outputs
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
y
(exp.f64 x)
x
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 x)
x
(*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z))
(/.f64 (exp.f64 z) (pow.f64 y y))
(pow.f64 y (neg.f64 y))
y
(neg.f64 y)
(exp.f64 z)
z

localize119.0ms (1.9%)

Memory
10.8MiB live, 205.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 z)
accuracy0.0
(exp.f64 x)
accuracy0.19921875000000003
(*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z))
accuracy0.24999862397081396
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
accuracy0.0
(pow.f64 y y)
accuracy0.0
(exp.f64 x)
accuracy0.00390625
(*.f64 (pow.f64 y y) (exp.f64 x))
accuracy5.355807752618016
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
accuracy0.0
(-.f64 x z)
accuracy0.025838710328575036
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy3.6242331659927753
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy0.0
(neg.f64 z)
accuracy0.025838710328575036
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy16.004954413056968
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
accuracy0.0
(log.f64 y)
accuracy0.025838710328575036
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
accuracy0.09375
(*.f64 (log.f64 y) y)
accuracy17.260984756633743
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
Samples
84.0ms151×0exit
22.0ms105×0valid
Compiler

Compiled 127 to 21 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-pow: 35.0ms (38.7% of total)
ival-log: 20.0ms (22.1% of total)
ival-mult: 19.0ms (21% of total)
ival-exp: 9.0ms (9.9% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
ival-div: 1.0ms (1.1% of total)
ival-add: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series130.0ms (2.1%)

Memory
-34.5MiB live, 221.0MiB allocated
Counts
19 → 87
Calls
Call 1
Inputs
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
(exp.f64 x)
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
(*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z))
(pow.f64 y (neg.f64 y))
(log.f64 y)
(exp.f64 z)
Outputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* y (log y))
(+ x (* y (log y)))
(* -1 z)
(- x z)
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ 1 (* (exp z) (exp (* -1 (* y (log y))))))
(+ (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))) (/ x (* (exp z) (exp (* -1 (* y (log y)))))))
(+ (* x (+ (* 1/2 (/ x (* (exp z) (exp (* -1 (* y (log y))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (* (exp z) (exp (* -1 (* y (log y))))))) (* 1/2 (/ 1 (* (exp z) (exp (* -1 (* y (log y))))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))
(exp (- (+ x (* y (log y))) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (/ (* y (log y)) x)))
(* x (+ 1 (* -1 (/ z x))))
(* (exp x) (pow y y))
(exp x)
(/ (exp x) (* (exp z) (exp (* -1 (* y (log y))))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(/ (exp x) (exp z))
(+ (/ (exp x) (exp z)) (/ (* y (* (exp x) (log y))) (exp z)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z)))))) (* -1 (/ (* (exp x) (log y)) (exp z))))) (/ (exp x) (exp z)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (* (exp x) (pow (log y) 3)) (exp z))) (+ (* 1/2 (/ (* (exp x) (pow (log y) 3)) (exp z))) (* (log y) (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z))))))))) (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z)))))) (* -1 (/ (* (exp x) (log y)) (exp z))))) (/ (exp x) (exp z)))
(exp z)
(+ (exp z) (* -1 (* y (* (exp z) (log y)))))
(+ (exp z) (* y (+ (* -1 (* (exp z) (log y))) (* 1/2 (* y (* (exp z) (pow (log y) 2)))))))
(+ (exp z) (* y (+ (* -1 (* (exp z) (log y))) (* y (+ (* -1/6 (* y (* (exp z) (pow (log y) 3)))) (* 1/2 (* (exp z) (pow (log y) 2))))))))
(+ 1 (* -1 (* y (log y))))
(+ 1 (* y (+ (* -1 (log y)) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (* -1 (log y)) (* y (+ (* -1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* (exp z) (exp (* -1 (* y (log y)))))
(exp (* -1 (* y (log y))))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(/ (exp x) (exp (* -1 (* y (log y)))))
(+ (* -1 (/ (* z (exp x)) (exp (* -1 (* y (log y)))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y))))))))) (/ (exp x) (exp (* -1 (* y (log y))))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y)))))))) (+ (* -1/2 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/6 (/ (exp x) (exp (* -1 (* y (log y)))))))))) (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y))))))))) (/ (exp x) (exp (* -1 (* y (log y))))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(+ (exp (* -1 (* y (log y)))) (* z (exp (* -1 (* y (log y))))))
(+ (exp (* -1 (* y (log y)))) (* z (+ (exp (* -1 (* y (log y)))) (* 1/2 (* z (exp (* -1 (* y (log y)))))))))
(+ (exp (* -1 (* y (log y)))) (* z (+ (exp (* -1 (* y (log y)))) (* z (+ (* 1/6 (* z (exp (* -1 (* y (log y)))))) (* 1/2 (exp (* -1 (* y (log y))))))))))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
40.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (/ (exp x) (* (pow y (neg y)) (exp z))) (* (pow y (neg y)) (exp z)) (pow y (neg y)) (log y) (exp z))
23.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (/ (exp x) (* (pow y (neg y)) (exp z))) (* (pow y (neg y)) (exp z)) (pow y (neg y)) (log y) (exp z))
21.0ms
z
@-inf
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (/ (exp x) (* (pow y (neg y)) (exp z))) (* (pow y (neg y)) (exp z)) (pow y (neg y)) (log y) (exp z))
13.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (/ (exp x) (* (pow y (neg y)) (exp z))) (* (pow y (neg y)) (exp z)) (pow y (neg y)) (log y) (exp z))
9.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (/ (exp x) (* (pow y (neg y)) (exp z))) (* (pow y (neg y)) (exp z)) (pow y (neg y)) (log y) (exp z))

simplify193.0ms (3.1%)

Memory
27.2MiB live, 254.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03271293
112461113
254721089
081191015
Stop Event
iter limit
node limit
Counts
87 → 86
Calls
Call 1
Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* y (log y))
(+ x (* y (log y)))
(* -1 z)
(- x z)
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ 1 (* (exp z) (exp (* -1 (* y (log y))))))
(+ (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))) (/ x (* (exp z) (exp (* -1 (* y (log y)))))))
(+ (* x (+ (* 1/2 (/ x (* (exp z) (exp (* -1 (* y (log y))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (* (exp z) (exp (* -1 (* y (log y))))))) (* 1/2 (/ 1 (* (exp z) (exp (* -1 (* y (log y))))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))
(exp (- (+ x (* y (log y))) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (/ (* y (log y)) x)))
(* x (+ 1 (* -1 (/ z x))))
(* (exp x) (pow y y))
(exp x)
(/ (exp x) (* (exp z) (exp (* -1 (* y (log y))))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(/ (exp x) (exp z))
(+ (/ (exp x) (exp z)) (/ (* y (* (exp x) (log y))) (exp z)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z)))))) (* -1 (/ (* (exp x) (log y)) (exp z))))) (/ (exp x) (exp z)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (* (exp x) (pow (log y) 3)) (exp z))) (+ (* 1/2 (/ (* (exp x) (pow (log y) 3)) (exp z))) (* (log y) (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z))))))))) (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z)))))) (* -1 (/ (* (exp x) (log y)) (exp z))))) (/ (exp x) (exp z)))
(exp z)
(+ (exp z) (* -1 (* y (* (exp z) (log y)))))
(+ (exp z) (* y (+ (* -1 (* (exp z) (log y))) (* 1/2 (* y (* (exp z) (pow (log y) 2)))))))
(+ (exp z) (* y (+ (* -1 (* (exp z) (log y))) (* y (+ (* -1/6 (* y (* (exp z) (pow (log y) 3)))) (* 1/2 (* (exp z) (pow (log y) 2))))))))
(+ 1 (* -1 (* y (log y))))
(+ 1 (* y (+ (* -1 (log y)) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (* -1 (log y)) (* y (+ (* -1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* (exp z) (exp (* -1 (* y (log y)))))
(exp (* -1 (* y (log y))))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(/ (exp x) (exp (* -1 (* y (log y)))))
(+ (* -1 (/ (* z (exp x)) (exp (* -1 (* y (log y)))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y))))))))) (/ (exp x) (exp (* -1 (* y (log y))))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y)))))))) (+ (* -1/2 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/6 (/ (exp x) (exp (* -1 (* y (log y)))))))))) (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y))))))))) (/ (exp x) (exp (* -1 (* y (log y))))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(+ (exp (* -1 (* y (log y)))) (* z (exp (* -1 (* y (log y))))))
(+ (exp (* -1 (* y (log y)))) (* z (+ (exp (* -1 (* y (log y)))) (* 1/2 (* z (exp (* -1 (* y (log y)))))))))
(+ (exp (* -1 (* y (log y)))) (* z (+ (exp (* -1 (* y (log y)))) (* z (+ (* 1/6 (* z (exp (* -1 (* y (log y)))))) (* 1/2 (exp (* -1 (* y (log y))))))))))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (exp.f64 z) (pow.f64 y y)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 (exp.f64 z) (pow.f64 y y))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 y y)) x (pow.f64 y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (pow.f64 y y)) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 1 (* (exp z) (exp (* -1 (* y (log y))))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))) (/ x (* (exp z) (exp (* -1 (* y (log y)))))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (* x (+ (* 1/2 (/ x (* (exp z) (exp (* -1 (* y (log y))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (exp.f64 z) (pow.f64 y y)))
(+ (* x (+ (* x (+ (* 1/6 (/ x (* (exp z) (exp (* -1 (* y (log y))))))) (* 1/2 (/ 1 (* (exp z) (exp (* -1 (* y (log y))))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))) (/ 1 (* (exp z) (exp (* -1 (* y (log y)))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (/.f64 (exp.f64 z) (pow.f64 y y))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(+.f64 x (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x))
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 x y) (/.f64 (log.f64 y) x) x)
(* x (+ 1 (* -1 (/ z x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp x)
(exp.f64 x)
(/ (exp x) (* (exp z) (exp (* -1 (* y (log y))))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ z x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) y) (log.f64 y) (exp.f64 x)) (exp.f64 z))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 z)) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 x z)) (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) #s(literal 1/6 binary64)) (exp.f64 (-.f64 x z)))) y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp x) (* y (* (exp x) (log y))))
(fma.f64 (*.f64 (exp.f64 x) y) (log.f64 y) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 y (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 x) y)) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
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(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
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(/ (exp x) (exp z))
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(/.f64 (fma.f64 (*.f64 (exp.f64 x) y) (log.f64 y) (exp.f64 x)) (exp.f64 z))
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(+ (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (* (exp x) (pow (log y) 3)) (exp z))) (+ (* 1/2 (/ (* (exp x) (pow (log y) 3)) (exp z))) (* (log y) (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z))))))))) (+ (* -1 (/ (* (exp x) (pow (log y) 2)) (exp z))) (* 1/2 (/ (* (exp x) (pow (log y) 2)) (exp z)))))) (* -1 (/ (* (exp x) (log y)) (exp z))))) (/ (exp x) (exp z)))
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(exp z)
(exp.f64 z)
(+ (exp z) (* -1 (* y (* (exp z) (log y)))))
(fma.f64 (neg.f64 y) (*.f64 (exp.f64 z) (log.f64 y)) (exp.f64 z))
(+ (exp z) (* y (+ (* -1 (* (exp z) (log y))) (* 1/2 (* y (* (exp z) (pow (log y) 2)))))))
(fma.f64 (fma.f64 (*.f64 y (*.f64 (exp.f64 z) #s(literal 1/2 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 z)) (log.f64 y))) y (exp.f64 z))
(+ (exp z) (* y (+ (* -1 (* (exp z) (log y))) (* y (+ (* -1/6 (* y (* (exp z) (pow (log y) 3)))) (* 1/2 (* (exp z) (pow (log y) 2))))))))
(fma.f64 (fma.f64 (neg.f64 (exp.f64 z)) (log.f64 y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (exp.f64 z) y)) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (exp.f64 z) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) y)) y (exp.f64 z))
(+ 1 (* -1 (* y (log y))))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) y))
(+ 1 (* y (+ (* -1 (log y)) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (neg.f64 (log.f64 y))) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (log y)) (* y (+ (* -1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) y (neg.f64 (log.f64 y))) y #s(literal 1 binary64))
(log y)
(log.f64 y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* (exp z) (exp (* -1 (* y (log y)))))
(/.f64 (exp.f64 z) (pow.f64 y y))
(exp (* -1 (* y (log y))))
(pow.f64 y (neg.f64 y))
(* -1 (log (/ 1 y)))
(log.f64 y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (neg.f64 y) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 x z) y))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(fma.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z (*.f64 (exp.f64 x) (pow.f64 y y)))
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(-.f64 (fma.f64 (log.f64 y) y x) z)
(+ x (* -1 z))
(-.f64 x z)
(/ (exp x) (exp (* -1 (* y (log y)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (* -1 (/ (* z (exp x)) (exp (* -1 (* y (log y)))))) (/ (exp x) (exp (* -1 (* y (log y))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (exp x) (exp (* -1 (* y (log y)))))) (* 1/2 (/ (exp x) (exp (* -1 (* y (log y))))))))) (/ (exp x) (exp (* -1 (* y (log y))))))) (/ (exp x) (exp (* -1 (* y (log y))))))
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(* z (- (/ x z) 1))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
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(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z)))

rewrite238.0ms (3.8%)

Memory
-3.2MiB live, 228.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028147
044147
1136146
2864143
08247136
Stop Event
iter limit
node limit
iter limit
Counts
19 → 357
Calls
Call 1
Inputs
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
(exp.f64 x)
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
(*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z))
(pow.f64 y (neg.f64 y))
(log.f64 y)
(exp.f64 z)
Outputs
(/.f64 (-.f64 (pow.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (*.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (*.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))) #s(literal 2 binary64))
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(/.f64 (exp.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 z #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (-.f64 (sinh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (cosh.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))))))
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))))
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(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64)))) (*.f64 (neg.f64 (pow.f64 y y)) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64)))) (*.f64 (pow.f64 y y) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))))
(/.f64 (neg.f64 (exp.f64 z)) (neg.f64 (pow.f64 y y)))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 z)) (neg.f64 (pow.f64 y y))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z))))
(/.f64 (exp.f64 z) (pow.f64 y y))
(neg.f64 (/.f64 (neg.f64 (exp.f64 z)) (pow.f64 y y)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (exp.f64 z) (*.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) (exp.f64 z)))
(fma.f64 (sinh.f64 z) (pow.f64 y (neg.f64 y)) (*.f64 (cosh.f64 z) (pow.f64 y (neg.f64 y))))
(fma.f64 (cosh.f64 z) (pow.f64 y (neg.f64 y)) (*.f64 (sinh.f64 z) (pow.f64 y (neg.f64 y))))
(fma.f64 (exp.f64 z) (cosh.f64 (*.f64 (log.f64 y) y)) (*.f64 (exp.f64 z) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))))
(fma.f64 (pow.f64 y (neg.f64 y)) (sinh.f64 z) (*.f64 (pow.f64 y (neg.f64 y)) (cosh.f64 z)))
(fma.f64 (pow.f64 y (neg.f64 y)) (cosh.f64 z) (*.f64 (pow.f64 y (neg.f64 y)) (sinh.f64 z)))
(-.f64 (*.f64 (cosh.f64 z) (pow.f64 y (neg.f64 y))) (*.f64 (neg.f64 (sinh.f64 z)) (pow.f64 y (neg.f64 y))))
(-.f64 (*.f64 (pow.f64 y (neg.f64 y)) (cosh.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y y)) (sinh.f64 z)))
(exp.f64 (fma.f64 (neg.f64 y) (log.f64 y) z))
(exp.f64 (-.f64 z (*.f64 (log.f64 y) y)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (exp.f64 z)) (*.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) (exp.f64 z)))
(+.f64 (*.f64 (exp.f64 z) (cosh.f64 (*.f64 (log.f64 y) y))) (*.f64 (exp.f64 z) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))))
(+.f64 (cosh.f64 (-.f64 z (*.f64 (log.f64 y) y))) (sinh.f64 (-.f64 z (*.f64 (log.f64 y) y))))
(+.f64 (cosh.f64 (fma.f64 (neg.f64 y) (log.f64 y) z)) (sinh.f64 (fma.f64 (neg.f64 y) (log.f64 y) z)))
(+.f64 (*.f64 (sinh.f64 z) (pow.f64 y (neg.f64 y))) (*.f64 (cosh.f64 z) (pow.f64 y (neg.f64 y))))
(+.f64 (*.f64 (cosh.f64 z) (pow.f64 y (neg.f64 y))) (*.f64 (sinh.f64 z) (pow.f64 y (neg.f64 y))))
(+.f64 (*.f64 (pow.f64 y (neg.f64 y)) (sinh.f64 z)) (*.f64 (pow.f64 y (neg.f64 y)) (cosh.f64 z)))
(+.f64 (*.f64 (pow.f64 y (neg.f64 y)) (cosh.f64 z)) (*.f64 (pow.f64 y (neg.f64 y)) (sinh.f64 z)))
(*.f64 (pow.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y y) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))))) (neg.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) (pow.f64 y (/.f64 y #s(literal -2 binary64))))
(pow.f64 (exp.f64 (neg.f64 y)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) (*.f64 (log.f64 y) #s(literal -1 binary64)))
(pow.f64 (exp.f64 y) (neg.f64 (log.f64 y)))
(pow.f64 (*.f64 y y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 y y) (/.f64 y #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal -2 binary64))
(pow.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y y) #s(literal -1 binary64))
(pow.f64 y (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 y (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 y (*.f64 y #s(literal -1 binary64)))
(pow.f64 y (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal -2 binary64))))
(pow.f64 y (neg.f64 y))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y))) (*.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y y)))
(/.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) (sqrt.f64 (pow.f64 y y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y y))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y y)))
(-.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y)))
(fabs.f64 (pow.f64 y (neg.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) (/.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))))
(log.f64 y)
(*.f64 #s(literal 1 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (pow.f64 (cosh.f64 z) #s(literal 2 binary64))) (-.f64 (sinh.f64 z) (cosh.f64 z)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) (fma.f64 (sinh.f64 z) (sinh.f64 z) (-.f64 (pow.f64 (cosh.f64 z) #s(literal 2 binary64)) (*.f64 (sinh.f64 z) (cosh.f64 z)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 z) (*.f64 #s(literal 2 binary64) (cosh.f64 z))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 z) (*.f64 #s(literal 2 binary64) (sinh.f64 z))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 z)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 z)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64))) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 z) (*.f64 #s(literal 1 binary64) (cosh.f64 z)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 z) (*.f64 #s(literal 1 binary64) (sinh.f64 z)))
(fma.f64 (sinh.f64 z) #s(literal 1 binary64) (*.f64 (cosh.f64 z) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 z) #s(literal 1 binary64) (*.f64 (sinh.f64 z) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 z) #s(literal 2 binary64)) (exp.f64 (neg.f64 z))) (/.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (exp.f64 (neg.f64 z))))
(exp.f64 z)
(+.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) (*.f64 (cosh.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) (*.f64 (sinh.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 z)) (*.f64 #s(literal 1 binary64) (cosh.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 #s(literal 1 binary64) (sinh.f64 z)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))) (/.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (fma.f64 (cosh.f64 z) (cosh.f64 z) (*.f64 (sinh.f64 z) (-.f64 (sinh.f64 z) (cosh.f64 z))))))
(+.f64 (sinh.f64 z) (cosh.f64 z))
(+.f64 (cosh.f64 z) (sinh.f64 z))

eval131.0ms (2.1%)

Memory
-1.3MiB live, 202.4MiB allocated
Compiler

Compiled 13 659 to 1 714 computations (87.5% saved)

prune26.0ms (0.4%)

Memory
-1.3MiB live, 45.1MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4593462
Fresh000
Picked325
Done000
Total4625467
Accuracy
100.0%
Counts
467 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
53.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
66.5%
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
45.6%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
53.6%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Compiler

Compiled 82 to 62 computations (24.4% saved)

simplify116.0ms (1.9%)

Memory
19.0MiB live, 165.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
024113
031113
151113
2101108
3244108
4877108
08033108
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
y
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 y y)
y
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
(exp.f64 x)
x
(pow.f64 y (neg.f64 y))
y
(neg.f64 y)
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
y
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 y y)))
(*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 y y))
(pow.f64 y y)
y
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 x)
x
(pow.f64 y (neg.f64 y))
y
(neg.f64 y)

localize85.0ms (1.4%)

Memory
-12.8MiB live, 88.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 y)
accuracy0.0
(exp.f64 x)
accuracy0.01171875
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
accuracy11.195632872001736
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
accuracy11.195632872001736
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
accuracy16.03242528581129
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy0.0
(pow.f64 y y)
accuracy11.195632872001736
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
accuracy16.099964914760502
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
Samples
28.0ms111×0exit
19.0ms145×0valid
Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 7.0ms (29% of total)
ival-exp: 4.0ms (16.6% of total)
ival-log: 4.0ms (16.6% of total)
ival-mult: 3.0ms (12.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-div: 1.0ms (4.1% of total)
ival-sub: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory
-5.5MiB live, 38.8MiB allocated
Counts
12 → 45
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
(exp.f64 x)
(pow.f64 y (neg.f64 y))
(+.f64 #s(literal 1 binary64) x)
(neg.f64 y)
Outputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ 1 (exp (* -1 (* y (log y)))))
(+ (/ 1 (exp (* -1 (* y (log y))))) (/ x (exp (* -1 (* y (log y))))))
(+ (* x (+ (* 1/2 (/ x (exp (* -1 (* y (log y)))))) (/ 1 (exp (* -1 (* y (log y))))))) (/ 1 (exp (* -1 (* y (log y))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (exp (* -1 (* y (log y)))))) (* 1/2 (/ 1 (exp (* -1 (* y (log y)))))))) (/ 1 (exp (* -1 (* y (log y))))))) (/ 1 (exp (* -1 (* y (log y))))))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
(/ (exp x) (exp (* -1 (* y (log y)))))
x
(* x (+ 1 (/ 1 x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(+ (exp x) (* y (- (* -1 (* y (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2)))))) (* -1 (* (exp x) (log y))))))
(+ (exp x) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (* (exp x) (pow (log y) 3))) (+ (* 1/2 (* (exp x) (pow (log y) 3))) (* (log y) (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2))))))))) (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2)))))) (* -1 (* (exp x) (log y))))))
(+ 1 (* -1 (* y (log y))))
(+ 1 (* y (+ (* -1 (log y)) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (* -1 (log y)) (* y (+ (* -1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(* -1 y)
(exp (* -1 (* y (log y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
Calls

9 calls:

TimeVariablePointExpression
38.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x) (/ (exp x) (pow y (neg y))) (exp (- (+ x (* y (log y))) z)) (exp x) (pow y (neg y)) (+ 1 x) (neg y))
8.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x) (/ (exp x) (pow y (neg y))) (exp (- (+ x (* y (log y))) z)) (exp x) (pow y (neg y)) (+ 1 x) (neg y))
1.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x) (/ (exp x) (pow y (neg y))) (exp (- (+ x (* y (log y))) z)) (exp x) (pow y (neg y)) (+ 1 x) (neg y))
1.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x) (/ (exp x) (pow y (neg y))) (exp (- (+ x (* y (log y))) z)) (exp x) (pow y (neg y)) (+ 1 x) (neg y))
1.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x) (/ (exp x) (pow y (neg y))) (exp (- (+ x (* y (log y))) z)) (exp x) (pow y (neg y)) (+ 1 x) (neg y))

simplify187.0ms (3%)

Memory
14.7MiB live, 154.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187696
1724611
23172608
08774558
Stop Event
iter limit
node limit
Counts
45 → 44
Calls
Call 1
Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ 1 (exp (* -1 (* y (log y)))))
(+ (/ 1 (exp (* -1 (* y (log y))))) (/ x (exp (* -1 (* y (log y))))))
(+ (* x (+ (* 1/2 (/ x (exp (* -1 (* y (log y)))))) (/ 1 (exp (* -1 (* y (log y))))))) (/ 1 (exp (* -1 (* y (log y))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (exp (* -1 (* y (log y)))))) (* 1/2 (/ 1 (exp (* -1 (* y (log y)))))))) (/ 1 (exp (* -1 (* y (log y))))))) (/ 1 (exp (* -1 (* y (log y))))))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
(/ (exp x) (exp (* -1 (* y (log y)))))
x
(* x (+ 1 (/ 1 x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(+ (exp x) (* y (- (* -1 (* y (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2)))))) (* -1 (* (exp x) (log y))))))
(+ (exp x) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (* (exp x) (pow (log y) 3))) (+ (* 1/2 (* (exp x) (pow (log y) 3))) (* (log y) (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2))))))))) (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2)))))) (* -1 (* (exp x) (log y))))))
(+ 1 (* -1 (* y (log y))))
(+ 1 (* y (+ (* -1 (log y)) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (* -1 (log y)) (* y (+ (* -1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(* -1 y)
(exp (* -1 (* y (log y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 y y)) x (pow.f64 y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (pow.f64 y y)) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 1 (exp (* -1 (* y (log y)))))
(pow.f64 y y)
(+ (/ 1 (exp (* -1 (* y (log y))))) (/ x (exp (* -1 (* y (log y))))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y y))
(+ (* x (+ (* 1/2 (/ x (exp (* -1 (* y (log y)))))) (/ 1 (exp (* -1 (* y (log y))))))) (/ 1 (exp (* -1 (* y (log y))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 y y)) x (pow.f64 y y))
(+ (* x (+ (* x (+ (* 1/6 (/ x (exp (* -1 (* y (log y)))))) (* 1/2 (/ 1 (exp (* -1 (* y (log y)))))))) (/ 1 (exp (* -1 (* y (log y))))))) (/ 1 (exp (* -1 (* y (log y))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (pow.f64 y y)) x (pow.f64 y y))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp x)
(exp.f64 x)
(/ (exp x) (exp (* -1 (* y (log y)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(fma.f64 (exp.f64 (-.f64 x z)) (*.f64 (log.f64 y) y) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 x z)))) y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp x) (* y (* (exp x) (log y))))
(fma.f64 (*.f64 (exp.f64 x) y) (log.f64 y) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 x) y)) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(+ (exp x) (* y (- (* -1 (* y (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2)))))) (* -1 (* (exp x) (log y))))))
(fma.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (* (exp x) (pow (log y) 3))) (+ (* 1/2 (* (exp x) (pow (log y) 3))) (* (log y) (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2))))))))) (+ (* -1 (* (exp x) (pow (log y) 2))) (* 1/2 (* (exp x) (pow (log y) 2)))))) (* -1 (* (exp x) (log y))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (exp.f64 x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 x)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* -1 (* y (log y))))
(-.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) y))
(+ 1 (* y (+ (* -1 (log y)) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (neg.f64 (log.f64 y))) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (log y)) (* y (+ (* -1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) y (neg.f64 (log.f64 y))) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(exp (* -1 (* y (log y))))
(pow.f64 y (neg.f64 y))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(fma.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 (log.f64 y) y x)))

rewrite314.0ms (5%)

Memory
-0.6MiB live, 237.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024104
031104
1103102
265499
3785199
0804699
Stop Event
iter limit
node limit
iter limit
Counts
12 → 223
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
(exp.f64 x)
(pow.f64 y (neg.f64 y))
(+.f64 #s(literal 1 binary64) x)
(neg.f64 y)
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 y (/.f64 y #s(literal 4 binary64)))) (pow.f64 y (/.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(*.f64 (pow.f64 y (/.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y (/.f64 y #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y y))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 (pow.f64 y y)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) (log.f64 y))
(pow.f64 (*.f64 y y) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 2 binary64))
(pow.f64 y (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 y y)
(/.f64 (cosh.f64 (-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y))) (pow.f64 y (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y))))))
(neg.f64 (neg.f64 (pow.f64 y y)))
(fabs.f64 (pow.f64 y y))
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(pow.f64 (pow.f64 y y) #s(literal -1 binary64))
(pow.f64 y (*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 y (*.f64 y #s(literal -1 binary64)))
(pow.f64 y (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 y (neg.f64 y))
(/.f64 (/.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) (pow.f64 y (/.f64 y #s(literal 4 binary64)))) (pow.f64 y (/.f64 y #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(/.f64 (cosh.f64 (-.f64 (*.f64 (neg.f64 y) (log.f64 y)) (*.f64 (neg.f64 y) (log.f64 y)))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y)))))))
(/.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y y)))
(/.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64))) (sqrt.f64 (pow.f64 y y)))
(/.f64 #s(literal 1 binary64) (pow.f64 y y))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y y)))
(-.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y)))
(fabs.f64 (pow.f64 y (neg.f64 y)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 y) y) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y (/.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(+.f64 (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))) (cosh.f64 (*.f64 (log.f64 y) y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(neg.f64 y)

eval38.0ms (0.6%)

Memory
-3.0MiB live, 84.2MiB allocated
Compiler

Compiled 8 436 to 1 185 computations (86% saved)

prune6.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2911292
Fresh000
Picked123
Done022
Total2925297
Accuracy
100.0%
Counts
297 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
53.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
50.2%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
45.6%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
53.6%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Compiler

Compiled 91 to 67 computations (26.4% saved)

simplify235.0ms (3.8%)

Memory
-20.3MiB live, 271.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
cost-diff0
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff5
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
02480
15280
212463
331555
497155
5739455
0834154
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(pow.f64 y y)
y
#s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (pow.f64 y y)))
(*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (pow.f64 y y))
(pow.f64 y y)
y
#s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))

localize60.0ms (1%)

Memory
-17.0MiB live, 129.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.20312500000000003
(*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
accuracy11.612698818549386
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy12.672178857635098
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
accuracy21.467638333273335
#s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
39.0ms222×0valid
7.0ms34×0exit
Compiler

Compiled 45 to 18 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 12.0ms (33% of total)
ival-log: 6.0ms (16.5% of total)
ival-mult: 5.0ms (13.8% of total)
ival-exp: 4.0ms (11% of total)
ival-sub: 4.0ms (11% of total)
ival-pow: 4.0ms (11% of total)
ival-add: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
30.6MiB live, 74.8MiB allocated
Counts
5 → 34
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
1
(+ 1 x)
-1
(- (pow x 2) 1)
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
Calls

9 calls:

TimeVariablePointExpression
26.0ms
x
@inf
((/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
7.0ms
x
@-inf
((/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
1.0ms
x
@0
((/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
0.0ms
y
@-inf
((/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
0.0ms
y
@inf
((/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))

simplify190.0ms (3%)

Memory
5.6MiB live, 248.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129475
1476412
21997376
08270346
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
1
(+ 1 x)
-1
(- (pow x 2) 1)
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (pow.f64 y y))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (pow.f64 y y) (exp.f64 x))
(exp x)
(exp.f64 x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(+ (exp x) (* y (* (exp x) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (*.f64 (exp.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

rewrite170.0ms (2.7%)

Memory
-13.0MiB live, 224.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
02468
110644
279943
0873242
Stop Event
iter limit
node limit
iter limit
Counts
5 → 231
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
#s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
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#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 y y)))
(*.f64 (*.f64 (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (pow.f64 y y))) (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)))
(*.f64 (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (pow.f64 y y)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) y)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (cosh.f64 (*.f64 (log.f64 y) y)) (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sinh.f64 (*.f64 (log.f64 y) y))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) y)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (cosh.f64 (*.f64 (log.f64 y) y))) (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sinh.f64 (*.f64 (log.f64 y) y))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

eval67.0ms (1.1%)

Memory
-6.6MiB live, 96.7MiB allocated
Compiler

Compiled 9 576 to 1 394 computations (85.4% saved)

prune7.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2601261
Fresh000
Picked101
Done044
Total2615266
Accuracy
100.0%
Counts
266 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
53.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
44.8%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
45.6%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
53.6%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Compiler

Compiled 278 to 130 computations (53.2% saved)

regimes67.0ms (1.1%)

Memory
-8.6MiB live, 84.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
#s(approx (exp (- (+ x (* y (log y))) z)) (/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y))))
(/.f64 (exp.f64 x) (*.f64 (pow.f64 y (neg.f64 y)) (exp.f64 z)))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

32.0ms
(*.f64 y (log.f64 y))
15.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
z
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes237.0ms (3.8%)

Memory
-26.3MiB live, 68.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
Calls

7 calls:

115.0ms
x
106.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
(*.f64 y (log.f64 y))
3.0ms
y
Results
AccuracySegmentsBranch
95.2%3x
95.0%2y
90.2%3z
92.8%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
92.8%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
92.8%2(+.f64 x (*.f64 y (log.f64 y)))
95.0%2(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes125.0ms (2%)

Memory
26.0MiB live, 73.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

6 calls:

110.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
y
3.0ms
(*.f64 y (log.f64 y))
3.0ms
x
Results
AccuracySegmentsBranch
83.5%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
85.6%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
87.7%2(+.f64 x (*.f64 y (log.f64 y)))
78.7%1x
91.7%2y
91.7%2(*.f64 y (log.f64 y))
Compiler

Compiled 29 to 32 computations (-10.3% saved)

regimes45.0ms (0.7%)

Memory
-0.8MiB live, 46.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

7 calls:

35.0ms
z
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
x
1.0ms
(*.f64 y (log.f64 y))
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
56.3%2x
68.0%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
68.0%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
72.2%2(+.f64 x (*.f64 y (log.f64 y)))
74.5%3z
75.2%2y
75.2%2(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes59.0ms (0.9%)

Memory
-3.5MiB live, 58.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

52.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
y
1.0ms
(*.f64 y (log.f64 y))
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
z
Results
AccuracySegmentsBranch
53.6%1x
53.6%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
53.6%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
53.6%1(+.f64 x (*.f64 y (log.f64 y)))
53.6%1z
53.6%1(*.f64 y (log.f64 y))
53.6%1y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.888471090129121e-297
-3.7637151702515006e-299
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.0400054241154915e+58
5.739368533690894e+58
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch28.0ms (0.4%)

Memory
-15.8MiB live, 30.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
566875718243949.1
125642088053684480.0
Samples
22.0ms112×0valid
Compiler

Compiled 236 to 196 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 16.0ms (81.3% of total)
ival-sub: 1.0ms (5.1% of total)
ival-log: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
ival-exp: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify79.0ms (1.3%)

Memory
17.8MiB live, 111.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038139
163139
2111136
3251136
4856136
57959136
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999998584394024780232100424968164183088578953216 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
(if (<=.f64 y #s(literal 850000000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal -3681675540198023/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999998584394024780232100424968164183088578953216 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
(if (<=.f64 y #s(literal 850000000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))

soundness463.0ms (7.4%)

Memory
28.3MiB live, 283.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03271293
112461113
254721089
081191015
0128484
1470416
21981388
08253369
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 175 to 87 computations (50.3% saved)

preprocess41.0ms (0.7%)

Memory
-1.3MiB live, 89.3MiB allocated
Compiler

Compiled 314 to 108 computations (65.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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