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

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (20.9%)

Memory
-4.6MiB live, 1 201.5MiB allocated
Samples
885.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 573.0ms
ival-log: 269.0ms (46.9% of total)
ival-mult: 140.0ms (24.4% of total)
ival-exp: 72.0ms (12.6% of total)
ival-add: 43.0ms (7.5% of total)
ival-sub: 39.0ms (6.8% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain193.0ms (3.3%)

Memory
11.5MiB live, 87.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(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
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
90.0ms512×0valid
Compiler

Compiled 109 to 36 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 7.0ms (35.1% of total)
ival-exp: 4.0ms (20.1% of total)
ival-mult: 4.0ms (20.1% of total)
ival-sub: 2.0ms (10% of total)
ival-add: 2.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess298.0ms (5.2%)

Memory
0.5MiB live, 191.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03590
112686
247581
3190977
089
0139
1289
2798
32448
48988
557748
097338
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

simplify245.0ms (4.2%)

Memory
14.3MiB live, 262.3MiB allocated
Algorithm
1×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-diff128
(+.f64 x (*.f64 y (log.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01332
12832
27931
324431
489831
5577431
0973329
Stop Event
1×iter limit
1×node limit
1×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

localize26.0ms (0.5%)

Memory
-21.2MiB live, 55.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.0078125
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy0.01171875
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.28125
(*.f64 y (log.f64 y))
Samples
19.0ms256×0valid
Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 3.0ms (26.8% of total)
ival-mult: 3.0ms (26.8% of total)
ival-exp: 2.0ms (17.8% of total)
ival-sub: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series73.0ms (1.3%)

Memory
-1.7MiB live, 120.1MiB 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
36.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
14.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
9.0ms
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)))
3.0ms
z
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))

simplify143.0ms (2.5%)

Memory
26.7MiB live, 136.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128480
1481413
22097385
08204365
Stop Event
1×iter limit
1×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 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)))
(- (* 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) y) x) x 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)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) 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)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) (neg.f64 x) x)
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- 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 (log.f64 y) (/.f64 (-.f64 z x) 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 (/.f64 x y) (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)
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))
(+ 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)

rewrite246.0ms (4.2%)

Memory
6.1MiB live, 243.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
15527
248926
3750726
0813124
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 319
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 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (log.f64 y) y (neg.f64 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 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (fma.f64 (log.f64 y) y (neg.f64 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 (-.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) y (neg.f64 x))))
(*.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) y x))
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(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64)) (neg.f64 z))
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 y) y x) (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 (/.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))))))
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 y) y x) (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 (neg.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)))))
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x))))))
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.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))) #s(literal -1 binary64)) (neg.f64 (/.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))))))
(fma.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.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))) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.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)))))
(fma.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) (/.f64 (fma.f64 (log.f64 y) y x) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (neg.f64 z))
(fma.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) (*.f64 (fma.f64 (log.f64 y) y x) (pow.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 z))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (neg.f64 z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 z))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (neg.f64 z)))
(fma.f64 z #s(literal -1 binary64) (fma.f64 (log.f64 y) y x))
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (-.f64 x (*.f64 (log.f64 y) y)) (-.f64 x (*.f64 (log.f64 y) y))) (neg.f64 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))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x))))))
(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 (fma.f64 (log.f64 y) y x) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 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 (/.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))))))
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 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 (neg.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)))))
(fma.f64 (fma.f64 (log.f64 y) y x) (*.f64 (-.f64 x (*.f64 (log.f64 y) y)) (pow.f64 (-.f64 x (*.f64 (log.f64 y) y)) #s(literal -1 binary64))) (neg.f64 z))
(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 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (neg.f64 z)))
(-.f64 (+.f64 (neg.f64 z) (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y))))) (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))))
(-.f64 (+.f64 (fma.f64 (log.f64 y) y x) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (log.f64 y) y (neg.f64 z)))) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (log.f64 y) y (neg.f64 z)))))
(-.f64 (-.f64 x z) (*.f64 (neg.f64 y) (log.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 z (fma.f64 (log.f64 y) y x)))
(-.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 (*.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))) (neg.f64 z)))
(-.f64 (neg.f64 z) (neg.f64 (fma.f64 (log.f64 y) y x)))
(-.f64 (fma.f64 (log.f64 y) y x) (*.f64 #s(literal 1 binary64) 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 (neg.f64 z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) (-.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) x) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 z)) (-.f64 (fma.f64 (log.f64 y) y (neg.f64 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 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) y (neg.f64 x)) (*.f64 (log.f64 y) y) (*.f64 x x))) (neg.f64 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))) (neg.f64 (*.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 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 (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)))) (neg.f64 (/.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 (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 (neg.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 (fma.f64 (log.f64 y) y (neg.f64 z)) x)
(+.f64 (neg.f64 z) (fma.f64 (log.f64 y) y x))
(+.f64 (fma.f64 (log.f64 y) y x) (neg.f64 z))
(+.f64 (*.f64 (log.f64 y) y) (-.f64 x z))
(+.f64 x (neg.f64 (fma.f64 (neg.f64 y) (log.f64 y) z)))
(+.f64 x (fma.f64 (log.f64 y) y (neg.f64 z)))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (log.f64 y)))
(+.f64 (log.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64)))) (log.f64 (pow.f64 y (*.f64 y #s(literal 1/2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y))))
(log.f64 (pow.f64 y y))

eval65.0ms (1.1%)

Memory
-17.0MiB live, 64.7MiB allocated
Compiler

Compiled 11 077 to 1 237 computations (88.8% saved)

prune6.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3434347
Fresh000
Picked101
Done000
Total3444348
Accuracy
100.0%
Counts
348 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.3%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
▶79.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
▶49.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
▶71.7%
#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)

simplify150.0ms (2.6%)

Memory
5.0MiB live, 157.8MiB allocated
Algorithm
1×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
169131
2166130
3489130
42012130
08575123
Stop Event
1×iter limit
1×node limit
1×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

localize60.0ms (1%)

Memory
9.4MiB live, 81.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
accuracy0.0078125
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
accuracy0.23828125
(*.f64 (log.f64 y) y)
accuracy29.895368643367366
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
accuracy0
(-.f64 x z)
accuracy0.00390625
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy17.009473918608144
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy0
(neg.f64 z)
accuracy0.00390625
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy39.01602116239427
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
accuracy0
(pow.f64 y y)
accuracy0
(exp.f64 x)
accuracy0.24609237397081396
(*.f64 (pow.f64 y y) (exp.f64 x))
accuracy10.85296216875648
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Samples
33.0ms228×0valid
17.0ms28×0exit
Compiler

Compiled 228 to 39 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 15.0ms (43.6% of total)
ival-mult: 5.0ms (14.5% of total)
ival-exp: 4.0ms (11.6% of total)
ival-log: 4.0ms (11.6% of total)
ival-pow: 4.0ms (11.6% of total)
ival-add: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series108.0ms (1.9%)

Memory
8.9MiB live, 123.1MiB allocated
Counts
14 → 56
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)
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)))))))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x 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)))))
(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
38.0ms
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))
29.0ms
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))
19.0ms
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))
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))
6.0ms
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))

simplify187.0ms (3.2%)

Memory
-1.3MiB live, 205.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200709
1753635
23154630
08420585
Stop Event
1×iter limit
1×node limit
Counts
56 → 55
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)))))))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x 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)))))
(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)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 y y)) x (pow.f64 y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (pow.f64 y y)) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (* 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))))
(fma.f64 (neg.f64 x) (/.f64 z x) x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) 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)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) (neg.f64 x) x)
(* -1 (* x (- (/ z x) 1)))
(fma.f64 (neg.f64 x) (/.f64 z x) x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x x)
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(fma.f64 (exp.f64 (-.f64 x z)) (*.f64 (log.f64 y) y) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 x z)))) y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp x) (* y (* (exp x) (log y))))
(fma.f64 (*.f64 (exp.f64 x) y) (log.f64 y) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 x) y)) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(* -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)
(* 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)
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(fma.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))))
(+ 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)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)

rewrite171.0ms (3%)

Memory
-1.5MiB live, 234.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023122
034122
1119122
2883121
08360114
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 291
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)
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (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)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) 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 (-.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (neg.f64 z)))) (-.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 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 (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (neg.f64 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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (neg.f64 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))))
(fma.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z) #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)))
(fma.f64 #s(literal -1 binary64) z #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)))
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))))
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.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))) #s(literal -1 binary64)) (neg.f64 (/.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))))))
(fma.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.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))) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.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)))))
(fma.f64 z #s(literal -1 binary64) #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)))
(-.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 3 binary64)) (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (neg.f64 z))))) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) (neg.f64 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)) (neg.f64 (/.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 2 binary64)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (/.f64 (neg.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 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)))
(+.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)))) (neg.f64 (/.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 (/.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 (neg.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)) (neg.f64 z))
(+.f64 (neg.f64 z) #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)))
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 0 binary64)))))
(+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))) (log.f64 y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (log.f64 (*.f64 y y)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (log.f64 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 1/2 binary64)) (log.f64 y) (log.f64 (sqrt.f64 (pow.f64 y y))))
(fma.f64 (log.f64 y) (*.f64 y #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (log.f64 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 (/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y))))
(log.f64 (pow.f64 y y))

eval42.0ms (0.7%)

Memory
17.6MiB live, 91.3MiB allocated
Compiler

Compiled 12 166 to 1 349 computations (88.9% saved)

prune13.0ms (0.2%)

Memory
-21.2MiB live, 20.6MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3351336
Fresh000
Picked224
Done000
Total3373340
Accuracy
100.0%
Counts
340 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓79.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
✓49.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
▶51.1%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify151.0ms (2.6%)

Memory
4.1MiB live, 178.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01434
01534
13434
29733
330733
4130233
0859233
Stop Event
1×iter limit
1×node limit
1×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
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

localize54.0ms (0.9%)

Memory
-18.0MiB live, 20.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 y y)
accuracy10.85296216875648
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
accuracy18.513959198441515
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
Samples
45.0ms228×0valid
3.0ms28×0exit
Compiler

Compiled 55 to 27 computations (50.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-pow: 27.0ms (67.2% of total)
ival-exp: 4.0ms (10% of total)
ival-log: 3.0ms (7.5% of total)
ival-mult: 3.0ms (7.5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-add: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-15.1MiB live, 23.0MiB allocated
Counts
3 → 28
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)
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))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(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)
(+ (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)))))))
(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
6.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
6.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
3.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
0.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
0.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))

simplify173.0ms (3%)

Memory
48.0MiB live, 197.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124471
1476408
22126370
08199343
Stop Event
1×iter limit
1×node limit
Counts
28 → 28
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))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(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)
(+ (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)))))))
(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)) (+.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))
(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 (- (* 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)
(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))
(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))

rewrite238.0ms (4.1%)

Memory
-29.2MiB live, 167.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01433
01533
16633
255432
0821932
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 31
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)
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 1/4 binary64)))) (pow.f64 y (*.f64 y #s(literal 1/4 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 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 y #s(literal 1 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 1/4 binary64))) (*.f64 (pow.f64 y (*.f64 y #s(literal 1/4 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 (pow.f64 (*.f64 y y) y) #s(literal 1/2 binary64))
(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 #s(literal 1/2 binary64) y))
(pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 2 binary64))
(pow.f64 y (*.f64 y #s(literal 1 binary64)))
(pow.f64 y y)
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y)))) (pow.f64 y (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y))))))
(neg.f64 (*.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)))))
(sqrt.f64 (*.f64 (pow.f64 y y) (pow.f64 y y)))
(fabs.f64 (neg.f64 (pow.f64 y 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 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) (*.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 y) y))
(+.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)))

eval7.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Compiler

Compiled 1 530 to 247 computations (83.9% saved)

prune3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done112
Total55459
Accuracy
100.0%
Counts
59 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
✓51.1%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
▶58.3%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
▶13.7%
#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 73 to 53 computations (27.4% saved)

simplify253.0ms (4.4%)

Memory
-26.4MiB live, 222.7MiB allocated
Algorithm
1×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
14071
210269
331069
4129469
0856969
Stop Event
1×iter limit
1×node limit
1×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

localize33.0ms (0.6%)

Memory
31.2MiB live, 31.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 x)
accuracy10.85296216875648
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
accuracy14.01145898157532
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
accuracy10.85296216875648
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
accuracy18.513959198441515
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
accuracy23.497094600706923
#s(approx (pow y y) #s(literal 1 binary64))
Samples
23.0ms228×0valid
3.0ms28×0exit
Compiler

Compiled 110 to 32 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 4.0ms (23.1% of total)
ival-log: 4.0ms (23.1% of total)
ival-pow: 4.0ms (23.1% of total)
ival-mult: 3.0ms (17.3% of total)
ival-add: 1.0ms (5.8% of total)
ival-sub: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
-13.7MiB live, 23.6MiB 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
16.0ms
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
@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))
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))

simplify177.0ms (3.1%)

Memory
1.8MiB live, 193.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1520433
22275391
08173356
Stop Event
1×iter limit
1×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))

rewrite194.0ms (3.4%)

Memory
11.8MiB live, 171.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01869
01969
17369
256067
0820967
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 26
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 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (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 (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.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 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.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))) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.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)) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval13.0ms (0.2%)

Memory
-30.7MiB live, 15.5MiB allocated
Compiler

Compiled 1 514 to 228 computations (84.9% saved)

prune27.0ms (0.5%)

Memory
9.3MiB live, 45.7MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New52355
Fresh000
Picked022
Done022
Total52759
Accuracy
100.0%
Counts
59 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
✓51.1%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
✓58.3%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
✓13.7%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
31.6%
#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)))))
29.3%
#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)))))
14.2%
#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 358 to 162 computations (54.7% saved)

regimes78.0ms (1.3%)

Memory
-2.1MiB live, 74.8MiB allocated
Counts
11 → 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)))
#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:

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

Compiled 30 to 35 computations (-16.7% saved)

regimes106.0ms (1.8%)

Memory
-4.8MiB live, 49.2MiB 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)))
#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:

82.0ms
x
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
(*.f64 y (log.f64 y))
4.0ms
y
Results
AccuracySegmentsBranch
94.1%3x
95.5%2y
92.0%3z
88.1%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
91.4%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
88.7%2(+.f64 x (*.f64 y (log.f64 y)))
95.3%2(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes12.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
9 → 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)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

3 calls:

4.0ms
(*.f64 y (log.f64 y))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
82.9%2x
91.5%2(*.f64 y (log.f64 y))
91.5%2y
Compiler

Compiled 6 to 11 computations (-83.3% saved)

regimes28.0ms (0.5%)

Memory
1.3MiB live, 37.6MiB allocated
Counts
7 → 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)))
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

7 calls:

9.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(*.f64 y (log.f64 y))
3.0ms
z
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
y
Results
AccuracySegmentsBranch
80.9%4x
67.1%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
77.0%3(+.f64 x (*.f64 y (log.f64 y)))
70.6%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
78.8%3z
77.6%2(*.f64 y (log.f64 y))
77.8%2y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes41.0ms (0.7%)

Memory
8.0MiB live, 45.8MiB 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:

25.0ms
(*.f64 y (log.f64 y))
3.0ms
z
3.0ms
y
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
58.3%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
58.3%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
58.3%1(+.f64 x (*.f64 y (log.f64 y)))
58.3%1z
58.3%1(*.f64 y (log.f64 y))
58.3%1x
58.3%1y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes19.0ms (0.3%)

Memory
5.6MiB live, 42.2MiB 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:

5.0ms
y
2.0ms
(*.f64 y (log.f64 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
33.9%2x
31.6%1z
31.6%1(+.f64 x (*.f64 y (log.f64 y)))
31.6%1(*.f64 y (log.f64 y))
31.6%1y
31.6%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
33.3%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes17.0ms (0.3%)

Memory
-18.1MiB live, 29.7MiB 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:

5.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
29.3%1(+.f64 x (*.f64 y (log.f64 y)))
29.3%1(*.f64 y (log.f64 y))
29.3%1y
29.3%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
29.3%1z
29.3%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
29.3%1x
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes14.0ms (0.2%)

Memory
-4.7MiB live, 33.0MiB 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:

4.0ms
(*.f64 y (log.f64 y))
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
z
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
y
Results
AccuracySegmentsBranch
14.2%1x
14.2%1(+.f64 x (*.f64 y (log.f64 y)))
14.2%1(*.f64 y (log.f64 y))
14.2%1y
14.2%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
14.2%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
14.2%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes10.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB 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 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(*.f64 y (log.f64 y))
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
13.7%1(+.f64 x (*.f64 y (log.f64 y)))
13.7%1x
13.7%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
13.7%1y
13.7%1(*.f64 y (log.f64 y))
13.7%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
13.7%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch12.0ms (0.2%)

Memory
-19.4MiB live, 18.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.5831363305317418e-8
3.5003549960935323e-7
Samples
8.0ms96×0valid
Compiler

Compiled 174 to 152 computations (12.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (37.8% of total)
ival-log: 1.0ms (18.9% of total)
ival-exp: 1.0ms (18.9% of total)
ival-mult: 1.0ms (18.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.7713676971721189e+62
1.7958034429341503e+63
Samples
6.0ms96×0valid
Compiler

Compiled 210 to 170 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-log: 1.0ms (28.2% of total)
ival-exp: 1.0ms (28.2% of total)
ival-mult: 1.0ms (28.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.5831363305317418e-8
3.5003549960935323e-7
Compiler

Compiled 246 to 194 computations (21.1% saved)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
3.7552206888417017e-125
1.0089498047032937e-115
Samples
1.0ms16×0valid
Compiler

Compiled 69 to 54 computations (21.7% saved)

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

simplify65.0ms (1.1%)

Memory
0.8MiB live, 79.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060272
173272
291272
3118272
4166272
5215272
6242272
7251272
8252272
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 6611313076017503/18889465931478580854784 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 749999999999999997721543790454511176679882994497435964381593600 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
(if (<=.f64 y #s(literal 6611313076017503/18889465931478580854784 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 4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 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))
(exp.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) y) x) z))
(if (<=.f64 y #s(literal 6611313076017503/18889465931478580854784 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 749999999999999997721543790454511176679882994497435964381593600 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
(if (<=.f64 y #s(literal 6611313076017503/18889465931478580854784 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 4763410263543689/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 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))))

soundness667.0ms (11.5%)

Memory
2.5MiB live, 591.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1520433
22275391
08173356
0124471
1476408
22126370
08199343
0128480
1481413
22097385
08204365
0200709
1753635
23154630
08420585
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 359 to 201 computations (44% saved)

preprocess103.0ms (1.8%)

Memory
3.4MiB live, 204.2MiB allocated
Compiler

Compiled 580 to 150 computations (74.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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