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

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
2.9MiB live, 2.9MiB 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)

sample1.3s (19%)

Memory
21.9MiB live, 1 507.5MiB allocated
Samples
735.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 433.0ms
ival-log: 172.0ms (39.8% of total)
ival-mult: 81.0ms (18.7% of total)
ival-exp: 68.0ms (15.7% of total)
ival-add: 64.0ms (14.8% of total)
ival-sub: 38.0ms (8.8% of total)
ival-true: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain158.0ms (2.4%)

Memory
24.3MiB live, 258.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
01(-209.41055275914235 1.4745775688654768e-171 -5.297712860975459e-113)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 -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
73.0ms512×0valid
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 (34.3% of total)
ival-exp: 4.0ms (19.6% of total)
ival-mult: 4.0ms (19.6% of total)
ival-add: 3.0ms (14.7% of total)
ival-sub: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess221.0ms (3.4%)

Memory
-6.9MiB live, 325.9MiB 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
1.2MiB live, 1.2MiB 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)

simplify193.0ms (2.9%)

Memory
-8.3MiB live, 230.7MiB 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

localize74.0ms (1.1%)

Memory
-5.3MiB live, 50.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.00390625
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy0.00390625
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.21875
(*.f64 y (log.f64 y))
Samples
18.0ms256×0valid
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 (30.7% of total)
ival-exp: 2.0ms (20.5% of total)
ival-mult: 2.0ms (20.5% of total)
ival-sub: 1.0ms (10.2% of total)
ival-add: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series104.0ms (1.6%)

Memory
4.2MiB live, 131.9MiB 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)))
41.0ms
y
@-inf
((+ 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)))
6.0ms
x
@0
((+ 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)))

simplify120.0ms (1.8%)

Memory
-10.6MiB live, 134.1MiB 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)

rewrite218.0ms (3.3%)

Memory
38.2MiB live, 330.7MiB 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))))
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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))

eval45.0ms (0.7%)

Memory
-26.6MiB live, 61.4MiB allocated
Compiler

Compiled 6 400 to 839 computations (86.9% saved)

prune3.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1904194
Fresh000
Picked101
Done000
Total1914195
Accuracy
100.0%
Counts
195 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
79.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
54.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
71.8%
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify175.0ms (2.7%)

Memory
11.6MiB live, 245.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
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))
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
(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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
034131
162131
2132130
3348130
41354130
08846123
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) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
y
(exp.f64 x)
x
(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
(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
Outputs
#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
(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
(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

localize67.0ms (1%)

Memory
-2.9MiB live, 186.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 y)
accuracy0.0
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
accuracy0.19140625
(*.f64 (log.f64 y) y)
accuracy25.76996529225164
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
accuracy0.0
(-.f64 x z)
accuracy0.0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy20.648682716265906
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy0.0
(neg.f64 z)
accuracy0.0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy37.00453038824617
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
accuracy0.0
(pow.f64 y y)
accuracy0.0
(exp.f64 x)
accuracy0.843748623970814
(*.f64 (pow.f64 y y) (exp.f64 x))
accuracy10.520128814443684
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Samples
50.0ms228×0valid
7.0ms28×0exit
Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-neg: 13.0ms (33.2% of total)
ival-exp: 9.0ms (23% of total)
ival-mult: 5.0ms (12.8% of total)
ival-pow: 5.0ms (12.8% of total)
ival-log: 4.0ms (10.2% of total)
ival-sub: 2.0ms (5.1% of total)
ival-add: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (1%)

Memory
8.2MiB live, 154.8MiB allocated
Counts
15 → 59
Calls
Call 1
Inputs
#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)
(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)
(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)
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))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) 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)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x 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))
(* 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
17.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (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)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
14.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (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)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
11.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (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)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
8.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (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)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
7.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (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)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))

simplify323.0ms (4.9%)

Memory
-21.9MiB live, 218.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200727
1739651
23002606
08457565
Stop Event
iter limit
node limit
Counts
59 → 58
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))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) 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)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x 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))
(* 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 (/.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 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #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 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(*.f64 (pow.f64 y y) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(+ (* 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 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) 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))
(- (* 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)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(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)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (+ 1 (* -1 (/ z x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 x y) (/.f64 (log.f64 y) x) x)
(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)))
(* -1 (* x (- (/ z x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(* -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 (- 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 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 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)) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 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 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 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) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (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)
(* -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 (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 x z) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x y))) 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)))))))))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (+.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 (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)))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+ x (* -1 z))
(-.f64 x 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)
(* z (- (/ x z) 1))
(*.f64 (-.f64 (/.f64 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)))))
(fma.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) z (neg.f64 z))

rewrite287.0ms (4.4%)

Memory
26.1MiB live, 313.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023124
034124
1112124
2741123
08339116
Stop Event
iter limit
node limit
iter limit
Counts
15 → 201
Calls
Call 1
Inputs
#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)
(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)
(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)
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (*.f64 (*.f64 (exp.f64 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 (exp.f64 x) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) y) (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 x x)))) (exp.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) y) (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 x x)))))
(*.f64 (*.f64 (exp.f64 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)) (exp.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 y y) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 y y) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) (pow.f64 y y)) (*.f64 (cosh.f64 x) (pow.f64 y y))) (*.f64 (*.f64 (sinh.f64 x) (pow.f64 y y)) (*.f64 (sinh.f64 x) (pow.f64 y y)))) (-.f64 (*.f64 (cosh.f64 x) (pow.f64 y y)) (*.f64 (sinh.f64 x) (pow.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y y) (cosh.f64 x)) (*.f64 (pow.f64 y y) (cosh.f64 x))) (*.f64 (*.f64 (pow.f64 y y) (sinh.f64 x)) (*.f64 (pow.f64 y y) (sinh.f64 x)))) (-.f64 (*.f64 (pow.f64 y y) (cosh.f64 x)) (*.f64 (pow.f64 y y) (sinh.f64 x))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (cosh.f64 (fma.f64 (log.f64 y) y x))) (*.f64 (sinh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (pow.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (pow.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 x) (pow.f64 y y)) (*.f64 (cosh.f64 x) (pow.f64 y y)) (-.f64 (*.f64 (*.f64 (sinh.f64 x) (pow.f64 y y)) (*.f64 (sinh.f64 x) (pow.f64 y y))) (*.f64 (*.f64 (cosh.f64 x) (pow.f64 y y)) (*.f64 (sinh.f64 x) (pow.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y y) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 y y) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y y) (cosh.f64 x)) (*.f64 (pow.f64 y y) (cosh.f64 x)) (-.f64 (*.f64 (*.f64 (pow.f64 y y) (sinh.f64 x)) (*.f64 (pow.f64 y y) (sinh.f64 x))) (*.f64 (*.f64 (pow.f64 y y) (cosh.f64 x)) (*.f64 (pow.f64 y y) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 (log.f64 y) y x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (cosh.f64 (fma.f64 (log.f64 y) y x)) (-.f64 (*.f64 (sinh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x))) (*.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x))))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (pow.f64 y (neg.f64 y))))
(/.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (log.f64 y) y)))) (exp.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y)))))
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))) (*.f64 (sinh.f64 x) (pow.f64 y y)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (*.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (*.f64 z z))) (*.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)))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (/.f64 (*.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (/.f64 (*.f64 (neg.f64 z) 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 (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))) (log.f64 y))
(*.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (*.f64 y y)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (log.f64 y) (log.f64 (exp.f64 y)))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))) (-.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 y) (log.f64 (sqrt.f64 (pow.f64 y y))))
(fma.f64 (log.f64 y) (/.f64 y #s(literal 2 binary64)) (log.f64 (sqrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(log.f64 (pow.f64 y y))
(log.f64 y)

eval60.0ms (0.9%)

Memory
18.6MiB live, 105.9MiB allocated
Compiler

Compiled 9 073 to 1 027 computations (88.7% saved)

prune10.0ms (0.2%)

Memory
-29.3MiB live, 28.3MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2502252
Fresh000
Picked134
Done000
Total2515256
Accuracy
100.0%
Counts
256 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
79.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
56.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
54.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
56.6%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify205.0ms (3.1%)

Memory
-33.7MiB live, 218.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) y)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
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: 0 (0.0ms)

IterNodesCost
01868
02268
14268
29667
326167
498967
0879665
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
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
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
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y

localize40.0ms (0.6%)

Memory
31.5MiB live, 119.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 y)
accuracy0.0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
accuracy0.19140625
(*.f64 (log.f64 y) y)
accuracy35.63019819988221
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
accuracy0.0
(pow.f64 y y)
accuracy10.520128814443684
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
accuracy15.754574967688212
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
Samples
28.0ms228×0valid
3.0ms28×0exit
Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub: 4.0ms (18.2% of total)
ival-exp: 4.0ms (18.2% of total)
ival-mult: 4.0ms (18.2% of total)
ival-pow: 4.0ms (18.2% of total)
ival-log: 3.0ms (13.6% of total)
ival-add: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series92.0ms (1.4%)

Memory
-10.4MiB live, 137.3MiB allocated
Counts
7 → 47
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)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.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))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(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)))))
(exp x)
(+ (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
(+ 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)))))))
(- x z)
(* y (log y))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z 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)))))
(+ (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 (* 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
40.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y))
19.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y))
10.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y))
9.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y))
7.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y))

simplify146.0ms (2.2%)

Memory
-5.0MiB live, 223.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166618
1605548
22523507
08190473
Stop Event
iter limit
node limit
Counts
47 → 46
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))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(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)))))
(exp x)
(+ (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
(+ 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)))))))
(- x z)
(* y (log y))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z 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)))))
(+ (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 (* 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
(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 x (*.f64 #s(literal 1/2 binary64) 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 x (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #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 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(*.f64 (pow.f64 y y) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+ (* 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 x (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (pow.f64 y y))
(- (* 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)
(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))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(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 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 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)) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(exp x)
(exp.f64 x)
(+ (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 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 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) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
1
#s(literal 1 binary64)
(+ 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(- x z)
(-.f64 x z)
(* y (log y))
(*.f64 (log.f64 y) y)
(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)
(* -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 (-.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) 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)))))))))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (+.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 (exp.f64 x) (pow.f64 y y)) (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 (exp.f64 x) (pow.f64 y y))))
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y 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)

rewrite275.0ms (4.2%)

Memory
-10.9MiB live, 286.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01866
02266
17466
251365
3688965
0818863
Stop Event
iter limit
node limit
iter limit
Counts
7 → 65
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)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.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 (+.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))))))
(/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y))))
(neg.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (pow.f64 y y)))) (cosh.f64 (log.f64 (sqrt.f64 (pow.f64 y 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))))
(fabs.f64 (pow.f64 y y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) y))
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y)))
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) (*.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 2 binary64)) (*.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) (*.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) (*.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) (*.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))))))
(+.f64 (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(+.f64 (cosh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (sinh.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 y))
(*.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (*.f64 y y)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (log.f64 y) (log.f64 (exp.f64 y)))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))) (log.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 (pow.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 y) (log.f64 (sqrt.f64 (pow.f64 y y))))
(fma.f64 (log.f64 y) (/.f64 y #s(literal 2 binary64)) (log.f64 (sqrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(log.f64 (pow.f64 y y))
(log.f64 y)

eval12.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB allocated
Compiler

Compiled 3 088 to 420 computations (86.4% saved)

prune4.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1032105
Fresh000
Picked022
Done123
Total1046110
Accuracy
100.0%
Counts
110 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
56.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
54.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
56.6%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
55.2%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
16.8%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
Compiler

Compiled 101 to 75 computations (25.7% saved)

simplify170.0ms (2.6%)

Memory
-6.8MiB live, 222.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01871
01971
13871
28569
322669
483169
5775269
0827969
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)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
x
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
x

localize79.0ms (1.2%)

Memory
-3.2MiB live, 103.3MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy10.520128814443684
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
accuracy16.886418301446813
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
accuracy10.520128814443684
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
accuracy15.754574967688212
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
accuracy25.88932168303714
#s(approx (pow y y) #s(literal 1 binary64))
Samples
35.0ms228×0valid
3.0ms28×0exit
Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sub: 13.0ms (44.1% of total)
ival-exp: 4.0ms (13.6% of total)
ival-pow: 4.0ms (13.6% of total)
ival-mult: 3.0ms (10.2% of total)
ival-log: 3.0ms (10.2% of total)
ival-add: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
8.1MiB live, 52.4MiB allocated
Counts
6 → 31
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
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))))))
(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)))))
(+ 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 (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
10.0ms
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))
7.0ms
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))
0.0ms
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))
0.0ms
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))
0.0ms
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))

simplify133.0ms (2%)

Memory
32.6MiB live, 303.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1517433
22186391
08228356
Stop Event
iter limit
node limit
Counts
31 → 31
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))))))
(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)))))
(+ 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 (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 #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)) (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 #s(literal 1 binary64) x) (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
#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))
(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 (- (* 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 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 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)) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 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 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 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) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(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)))))))))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (+.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 (exp.f64 x) (pow.f64 y y)) (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 (exp.f64 x) (pow.f64 y y))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

rewrite321.0ms (4.9%)

Memory
-43.6MiB live, 296.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01869
01969
17169
249067
3667467
0829267
Stop Event
iter limit
node limit
iter limit
Counts
6 → 20
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Compiler

Compiled 1 329 to 209 computations (84.3% saved)

prune7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New46349
Fresh000
Picked022
Done044
Total46955
Accuracy
100.0%
Counts
55 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
56.6%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
54.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
56.6%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
55.2%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
16.8%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
32.1%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
29.2%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
16.9%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 400 to 186 computations (53.5% saved)

regimes40.0ms (0.6%)

Memory
17.5MiB live, 63.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#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)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#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))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

16.0ms
x
4.0ms
z
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1(*.f64 y (log.f64 y))
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes35.0ms (0.5%)

Memory
-38.3MiB live, 65.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#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)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#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:

9.0ms
z
7.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
96.2%2(*.f64 y (log.f64 y))
93.2%3(+.f64 x (*.f64 y (log.f64 y)))
91.0%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
90.6%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
96.2%3x
96.2%2y
91.9%3z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes18.0ms (0.3%)

Memory
-0.7MiB live, 43.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#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)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#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)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
Calls

4 calls:

7.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
x
3.0ms
(*.f64 y (log.f64 y))
3.0ms
y
Results
AccuracySegmentsBranch
89.6%2(+.f64 x (*.f64 y (log.f64 y)))
84.3%2x
91.2%2(*.f64 y (log.f64 y))
91.2%2y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#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)))
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

2 calls:

3.0ms
(*.f64 y (log.f64 y))
3.0ms
y
Results
AccuracySegmentsBranch
91.2%2(*.f64 y (log.f64 y))
91.2%2y
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes47.0ms (0.7%)

Memory
-2.1MiB live, 43.6MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#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
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
(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:

3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
z
3.0ms
y
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
x
Results
AccuracySegmentsBranch
81.7%4x
81.4%3(+.f64 x (*.f64 y (log.f64 y)))
79.5%4z
72.4%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
72.8%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
81.6%4(*.f64 y (log.f64 y))
81.6%4y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes23.0ms (0.4%)

Memory
-34.1MiB live, 21.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#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)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

4 calls:

3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(*.f64 y (log.f64 y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
78.3%2(*.f64 y (log.f64 y))
78.3%2y
78.2%3x
71.2%2(+.f64 x (*.f64 y (log.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes16.0ms (0.2%)

Memory
47.1MiB live, 47.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
Calls

7 calls:

2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
2.0ms
z
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
55.2%1(+.f64 x (*.f64 y (log.f64 y)))
55.2%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
55.2%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
55.2%1z
55.2%1x
55.2%1y
55.2%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes18.0ms (0.3%)

Memory
-41.9MiB live, 48.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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)))))
Calls

7 calls:

2.0ms
y
2.0ms
x
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
z
Results
AccuracySegmentsBranch
34.8%2x
32.1%1z
32.1%1(+.f64 x (*.f64 y (log.f64 y)))
32.1%1y
32.1%1(*.f64 y (log.f64 y))
32.1%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
32.1%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes15.0ms (0.2%)

Memory
20.8MiB live, 65.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
Calls

7 calls:

4.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
29.2%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
29.2%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
29.2%1(+.f64 x (*.f64 y (log.f64 y)))
29.2%1(*.f64 y (log.f64 y))
29.2%1y
29.2%1z
29.2%1x
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes32.0ms (0.5%)

Memory
-8.4MiB live, 60.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
Calls

7 calls:

23.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
(*.f64 y (log.f64 y))
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
16.9%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
16.9%1(+.f64 x (*.f64 y (log.f64 y)))
16.9%1(*.f64 y (log.f64 y))
16.9%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
16.9%1y
16.9%1z
16.9%1x
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes25.0ms (0.4%)

Memory
-14.2MiB live, 30.5MiB 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)) #s(approx (pow y y) #s(literal 1 binary64))))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
Calls

7 calls:

1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
y
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(*.f64 y (log.f64 y))
1.0ms
z
Results
AccuracySegmentsBranch
16.8%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
16.8%1(*.f64 y (log.f64 y))
16.8%1y
16.8%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
16.8%1(+.f64 x (*.f64 y (log.f64 y)))
16.8%1x
16.8%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch25.0ms (0.4%)

Memory
6.6MiB live, 50.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
9308679545221440.0
8.216239666222453e+26
Samples
10.0ms160×0valid
Compiler

Compiled 282 to 244 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 2.0ms (34% of total)
ival-sub: 1.0ms (17% of total)
ival-add: 1.0ms (17% of total)
ival-exp: 1.0ms (17% of total)
ival-mult: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.4%)

Memory
-4.5MiB live, 41.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
31.15421396697258
720432.1122032192
Samples
18.0ms128×0valid
Compiler

Compiled 228 to 198 computations (13.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 10.0ms (66.8% of total)
ival-log: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
ival-exp: 1.0ms (6.7% of total)
ival-mult: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
31.15421396697258
720432.1122032192
Compiler

Compiled 276 to 222 computations (19.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1907162049.5599935
65259442320.60334
0.0ms
-3.10638384645252e+103
-4.1932223478192654e+92
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
107.13776904066872
9716904.815448685
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch15.0ms (0.2%)

Memory
34.8MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-209.41055275914235
-0.28382959626021853
Samples
8.0ms128×0valid
Compiler

Compiled 468 to 334 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (40.4% of total)
ival-sub: 1.0ms (20.2% of total)
ival-add: 1.0ms (20.2% of total)
ival-exp: 1.0ms (20.2% of total)
ival-mult: 1.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify101.0ms (1.5%)

Memory
-13.5MiB live, 89.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074375
1100375
2148364
3288364
4892364
57948364
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 5200000000000000000 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 y #s(literal 26000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(if (<=.f64 y #s(literal 26000 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 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 2000000000 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)))))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 200 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) #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)) (exp.f64 x)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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))))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 5200000000000000000 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 y #s(literal 26000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(if (<=.f64 y #s(literal 26000 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 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 2000000000 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)))))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 200 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) #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)) (exp.f64 x)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp 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))))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))

soundness1.1s (17.4%)

Memory
-28.6MiB live, 543.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1517433
22186391
08228356
0200727
1739651
23002606
08457565
0128484
1470416
21981388
08253369
0166618
1605548
22523507
08190473
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 489 to 258 computations (47.2% saved)

preprocess109.0ms (1.7%)

Memory
11.5MiB live, 101.4MiB allocated
Compiler

Compiled 786 to 180 computations (77.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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