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

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (16.7%)

Memory
4.4MiB live, 1 464.4MiB allocated
Samples
867.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 538.0ms
ival-log: 221.0ms (41.1% of total)
ival-sub: 95.0ms (17.6% of total)
ival-add: 78.0ms (14.5% of total)
ival-mult: 76.0ms (14.1% of total)
ival-exp: 58.0ms (10.8% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain136.0ms (1.9%)

Memory
49.1MiB live, 282.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
00-0-(log.f64 y)
00-0-y
00-0-(+.f64 x (*.f64 y (log.f64 y)))
00-0-(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))sensitivity10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log: 8.0ms (32.1% of total)
ival-add: 6.0ms (24% of total)
ival-exp: 4.0ms (16% of total)
ival-mult: 4.0ms (16% of total)
ival-sub: 2.0ms (8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess278.0ms (4%)

Memory
-10.7MiB live, 325.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify178.0ms (2.5%)

Memory
1.7MiB live, 232.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize26.0ms (0.4%)

Memory
1.7MiB live, 47.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 y)
accuracy0.01171875
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.02808525218312507
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.25390625
(*.f64 y (log.f64 y))
Samples
20.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 3.0ms (24.8% of total)
ival-add: 3.0ms (24.8% of total)
ival-exp: 2.0ms (16.6% of total)
ival-mult: 2.0ms (16.6% of total)
ival-sub: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series206.0ms (3%)

Memory
-14.8MiB live, 127.7MiB allocated
Counts
5 → 38
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))
(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)
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -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
144.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
39.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
7.0ms
y
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
6.0ms
x
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
5.0ms
x
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))

simplify133.0ms (1.9%)

Memory
47.2MiB live, 130.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128496
1470427
21981399
08253380
Stop Event
iter limit
node limit
Counts
38 → 37
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)
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
Outputs
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) x) y x)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (log.f64 y) x) (neg.f64 y)) #s(literal 1 binary64)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- x z)
(-.f64 x z)
(log y)
(log.f64 y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 z x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal -1 binary64)) z)

rewrite623.0ms (8.9%)

Memory
-117.7MiB live, 312.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
15329
242328
3604128
0810126
Stop Event
iter limit
node limit
iter limit
Counts
5 → 165
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))
(log.f64 y)
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) y x) y) (log.f64 y) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) y x))
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(*.f64 (fma.f64 (log.f64 y) y x) (/.f64 (-.f64 x (*.f64 (log.f64 y) y)) (-.f64 x (*.f64 (log.f64 y) y))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (fma.f64 (log.f64 y) y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (+.f64 z (fma.f64 (log.f64 y) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (fma.f64 (log.f64 y) y x)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (log.f64 y) y x) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (neg.f64 (fma.f64 (log.f64 y) y x)) (/.f64 (neg.f64 (fma.f64 (log.f64 y) y x)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (fabs.f64 (fma.f64 (log.f64 y) y x)) (/.f64 (fabs.f64 (fma.f64 (log.f64 y) y x)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (fma.f64 (log.f64 y) y x) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(fma.f64 y (log.f64 y) (-.f64 x z))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 (*.f64 (log.f64 y) y) z))) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 2 binary64)) (-.f64 x (-.f64 (*.f64 (log.f64 y) y) z))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))) z))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(-.f64 (*.f64 (log.f64 y) y) (-.f64 z x))
(-.f64 x (fma.f64 (neg.f64 y) (log.f64 y) z))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x))))
(+.f64 (-.f64 x z) (*.f64 (log.f64 y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(+.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(+.f64 (-.f64 (*.f64 (log.f64 y) y) z) x)
(+.f64 (*.f64 (log.f64 y) y) (-.f64 x z))
(+.f64 x (-.f64 (*.f64 (log.f64 y) y) z))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(+.f64 (log.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64)))) (log.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y))))
(log.f64 (pow.f64 y y))
(log.f64 y)

eval33.0ms (0.5%)

Memory
12.8MiB live, 55.7MiB allocated
Compiler

Compiled 6 438 to 849 computations (86.8% saved)

prune4.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1934197
Fresh000
Picked101
Done000
Total1944198
Accuracy
100.0%
Counts
198 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
79.8%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.2%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
62.7%
#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)

simplify163.0ms (2.3%)

Memory
-11.7MiB live, 332.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
034131
162131
2132130
3348130
41354130
08846123
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
y
(exp.f64 x)
x
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
y
(exp.f64 x)
x
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z

localize85.0ms (1.2%)

Memory
-19.3MiB live, 127.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 y)
accuracy0.02808525218312507
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
accuracy0.21875
(*.f64 (log.f64 y) y)
accuracy26.088297110768554
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
accuracy0.0
(-.f64 x z)
accuracy0.02808525218312507
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy16.532609141379247
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy0.0
(neg.f64 z)
accuracy0.02808525218312507
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy33.078687613455386
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
accuracy0.0
(pow.f64 y y)
accuracy0.0
(exp.f64 x)
accuracy0.8437486239708141
(*.f64 (pow.f64 y y) (exp.f64 x))
accuracy13.876152556753892
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Samples
67.0ms219×0valid
8.0ms37×0exit
Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-sub: 40.0ms (66.9% of total)
ival-mult: 6.0ms (10% of total)
ival-exp: 4.0ms (6.7% of total)
ival-log: 4.0ms (6.7% of total)
ival-pow: 4.0ms (6.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory
-5.7MiB live, 139.6MiB allocated
Counts
15 → 59
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
(exp.f64 x)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
Outputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
13.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
11.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
9.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
7.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))

simplify234.0ms (3.3%)

Memory
9.9MiB live, 239.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200727
1739651
23002606
08457565
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(*.f64 (pow.f64 y y) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (pow.f64 y y) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp x)
(exp.f64 x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (+ 1 (* -1 (/ z x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 x y) (/.f64 (log.f64 y) x) x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ z x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (log.f64 y) x) (neg.f64 y)) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(+ (exp x) (* y (* (exp x) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (*.f64 (exp.f64 x) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(log y)
(log.f64 y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 x z) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x y))) y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+ x (* -1 z))
(-.f64 x z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(* z (- (/ x z) 1))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) z (neg.f64 z))

rewrite184.0ms (2.6%)

Memory
38.0MiB live, 268.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval34.0ms (0.5%)

Memory
-7.5MiB live, 96.4MiB allocated
Compiler

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

prune7.0ms (0.1%)

Memory
-19.7MiB live, 24.6MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2511252
Fresh000
Picked224
Done000
Total2533256
Accuracy
100.0%
Counts
256 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.2%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
51.0%
#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)

simplify316.0ms (4.5%)

Memory
8.2MiB live, 403.2MiB allocated
Algorithm
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
13234
27933
322233
482933
5774133
0826833
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
y
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

localize34.0ms (0.5%)

Memory
-2.9MiB live, 43.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y y)
accuracy13.876152556753892
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
accuracy15.502018009163896
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
Samples
24.0ms219×0valid
4.0ms37×0exit
Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 4.0ms (22.8% of total)
ival-pow: 4.0ms (22.8% of total)
ival-log: 3.0ms (17.1% of total)
ival-mult: 3.0ms (17.1% of total)
ival-sub: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
-13.9MiB live, 29.9MiB 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
25.0ms
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))
0.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
0.0ms
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))

simplify180.0ms (2.6%)

Memory
30.3MiB live, 209.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124471
1473408
22037370
08241343
Stop Event
iter limit
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))

rewrite275.0ms (3.9%)

Memory
-5.4MiB live, 242.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01433
01533
16433
248332
3666732
0828632
Stop Event
iter limit
node limit
iter limit
Counts
3 → 34
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 4 binary64)))) (pow.f64 y (/.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(*.f64 (pow.f64 y (/.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y (/.f64 y #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y y))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 (pow.f64 y y)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) (log.f64 y))
(pow.f64 (*.f64 y y) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 2 binary64))
(pow.f64 y (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 y y)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y))))))
(/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y))))
(neg.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (pow.f64 y y)))) (cosh.f64 (log.f64 (sqrt.f64 (pow.f64 y y))))) (cosh.f64 (*.f64 (log.f64 y) y)))
(-.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (neg.f64 y) (log.f64 y))))
(fabs.f64 (pow.f64 y y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) y))
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 (*.f64 y y)) (/.f64 y #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) y)) (cosh.f64 (*.f64 (log.f64 y) y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) y)) (sinh.f64 (*.f64 (log.f64 y) y)))

eval16.0ms (0.2%)

Memory
-31.4MiB live, 12.8MiB allocated
Compiler

Compiled 1 649 to 264 computations (84% saved)

prune2.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New57259
Fresh000
Picked011
Done112
Total58462
Accuracy
100.0%
Counts
62 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
51.0%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
50.2%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
11.8%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
Compiler

Compiled 73 to 53 computations (27.4% saved)

simplify175.0ms (2.5%)

Memory
-3.7MiB live, 283.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01871
01971
13871
28569
322669
483169
5775269
0827969
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
x
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
x

localize76.0ms (1.1%)

Memory
5.7MiB live, 107.1MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy13.876152556753892
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
accuracy16.281124079482858
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
accuracy13.876152556753892
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
accuracy15.502018009163896
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
accuracy24.981508186212945
#s(approx (pow y y) #s(literal 1 binary64))
Samples
63.0ms219×0valid
4.0ms37×0exit
Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-sub: 42.0ms (71.8% of total)
ival-exp: 4.0ms (6.8% of total)
ival-pow: 4.0ms (6.8% of total)
ival-mult: 3.0ms (5.1% of total)
ival-log: 3.0ms (5.1% of total)
ival-add: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
23.7MiB live, 67.8MiB 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
9.0ms
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
x
@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))

simplify160.0ms (2.3%)

Memory
-25.6MiB live, 211.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1517433
22186391
08228356
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp x)
(exp.f64 x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(+ (exp x) (* y (* (exp x) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (*.f64 (exp.f64 x) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

rewrite271.0ms (3.9%)

Memory
-3.8MiB live, 292.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

eval5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Compiler

Compiled 1 329 to 209 computations (84.3% saved)

prune6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New46349
Fresh000
Picked022
Done022
Total46753
Accuracy
100.0%
Counts
53 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
51.0%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
50.2%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
11.8%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
25.4%
#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)))))
24.9%
#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)))))
11.9%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 358 to 162 computations (54.7% saved)

regimes34.0ms (0.5%)

Memory
-13.0MiB live, 76.1MiB 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:

8.0ms
(+.f64 x (*.f64 y (log.f64 y)))
7.0ms
z
4.0ms
y
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
100.0%1(*.f64 y (log.f64 y))
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes31.0ms (0.4%)

Memory
-1.5MiB live, 54.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(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))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
Calls

7 calls:

10.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
(*.f64 y (log.f64 y))
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
92.8%2(*.f64 y (log.f64 y))
92.0%2(+.f64 x (*.f64 y (log.f64 y)))
92.0%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
92.0%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
95.0%3x
92.8%2y
87.6%3z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes22.0ms (0.3%)

Memory
9.5MiB live, 55.3MiB 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

6 calls:

6.0ms
(*.f64 y (log.f64 y))
3.0ms
y
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
x
Results
AccuracySegmentsBranch
89.2%3(+.f64 x (*.f64 y (log.f64 y)))
84.7%3(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
81.5%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
88.5%2(*.f64 y (log.f64 y))
88.5%2y
83.2%3x
Compiler

Compiled 29 to 32 computations (-10.3% saved)

regimes22.0ms (0.3%)

Memory
12.4MiB live, 58.5MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

7 calls:

5.0ms
(*.f64 y (log.f64 y))
3.0ms
y
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
69.3%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
77.1%5x
69.3%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
79.7%5z
81.7%3(+.f64 x (*.f64 y (log.f64 y)))
77.5%4(*.f64 y (log.f64 y))
75.9%3y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes15.0ms (0.2%)

Memory
-17.3MiB live, 28.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

5 calls:

5.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
(*.f64 y (log.f64 y))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
71.0%3x
71.4%2(*.f64 y (log.f64 y))
71.4%2y
57.1%2z
67.7%2(+.f64 x (*.f64 y (log.f64 y)))
Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes24.0ms (0.3%)

Memory
-18.9MiB live, 32.8MiB 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:

11.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
y
2.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
50.2%1z
50.2%1(+.f64 x (*.f64 y (log.f64 y)))
50.2%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
50.2%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
50.2%1x
50.2%1(*.f64 y (log.f64 y))
50.2%1y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes49.0ms (0.7%)

Memory
-0.8MiB live, 44.3MiB 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:

37.0ms
x
2.0ms
y
2.0ms
(*.f64 y (log.f64 y))
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
28.9%2x
25.4%1z
27.2%2(*.f64 y (log.f64 y))
27.2%2(+.f64 x (*.f64 y (log.f64 y)))
27.2%2y
27.3%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
25.4%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes25.0ms (0.4%)

Memory
4.8MiB live, 52.2MiB 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:

15.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
x
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
y
Results
AccuracySegmentsBranch
24.9%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
24.9%1z
24.9%1(+.f64 x (*.f64 y (log.f64 y)))
24.9%1(*.f64 y (log.f64 y))
24.9%1y
24.9%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
24.9%1x
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes10.0ms (0.1%)

Memory
30.9MiB live, 30.9MiB 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:

1.0ms
(*.f64 y (log.f64 y))
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
y
1.0ms
z
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
11.9%1(+.f64 x (*.f64 y (log.f64 y)))
11.9%1y
11.9%1(*.f64 y (log.f64 y))
11.9%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
11.9%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
11.9%1x
11.9%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes28.0ms (0.4%)

Memory
-25.6MiB live, 21.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

21.0ms
y
1.0ms
(*.f64 y (log.f64 y))
1.0ms
x
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
11.8%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
11.8%1(+.f64 x (*.f64 y (log.f64 y)))
11.8%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
11.8%1x
11.8%1y
11.8%1(*.f64 y (log.f64 y))
11.8%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch163.0ms (2.3%)

Memory
22.0MiB live, 73.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
144.0ms
2.08460936682765e-62
2.476423126175569e-49
16.0ms
-1.2207735572641652e+27
-2838114484899615.0
Samples
20.0ms320×0valid
Compiler

Compiled 552 to 474 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 4.0ms (33% of total)
ival-exp: 2.0ms (16.5% of total)
ival-mult: 2.0ms (16.5% of total)
ival-sub: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch115.0ms (1.6%)

Memory
-22.4MiB live, 24.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
114.0ms
4.1610556671705465e+21
2.9565109160578097e+22
Samples
110.0ms96×0valid
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% of total)
ival-exp: 1.0ms (28% of total)
ival-mult: 1.0ms (28% 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
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.082246737227195e-21
3.877290637786539e-17
0.0ms
-3.6028253690730363e+50
-2.6659602381102102e+50
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch11.0ms (0.2%)

Memory
19.8MiB live, 19.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
14.014507226739868
62.68142242328419
Samples
6.0ms96×0valid
Compiler

Compiled 246 to 194 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-log: 1.0ms (27.6% of total)
ival-exp: 1.0ms (27.6% of total)
ival-mult: 1.0ms (27.6% 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)

bsearch2.0ms (0%)

Memory
7.8MiB live, 7.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
-8.562488009219514e-5
-7.569739386192463e-13
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)

simplify256.0ms (3.7%)

Memory
-16.7MiB live, 77.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074346
1103346
2151335
3293335
4897335
57947335
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 x #s(literal -110000000000000003523215360 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (if (<=.f64 x #s(literal 806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))))
(if (<=.f64 y #s(literal 10000000000000000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
(if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -299999999999999981350934654997039981640924279078912 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))))
(if (<=.f64 y #s(literal 62 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 -7378697629483821/147573952589676412928 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 x #s(literal -110000000000000003523215360 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (if (<=.f64 x #s(literal 806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))))
(if (or (<=.f64 x #s(literal -110000000000000003523215360 binary64)) (not (<=.f64 x #s(literal 806297233087391/3291009114642412084309938365114701009965471731267159726697218048 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 10000000000000000000000 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y))))
(if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal -299999999999999981350934654997039981640924279078912 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x))) (if (<=.f64 (+.f64 x (*.f64 y (log.f64 y))) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))))
(if (<=.f64 y #s(literal 62 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 -7378697629483821/147573952589676412928 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))))

soundness981.0ms (14%)

Memory
11.6MiB live, 664.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1517433
22186391
08228356
0124471
1473408
22037370
08241343
0200727
1739651
23002606
08457565
0128496
1470427
21981399
08253380
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 448 to 243 computations (45.8% saved)

preprocess83.0ms (1.2%)

Memory
-4.2MiB live, 84.4MiB allocated
Compiler

Compiled 728 to 182 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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