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

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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)

sample1.0s (17.4%)

Memory
46.3MiB live, 1 026.1MiB allocated; 216ms collecting garbage
Samples
647.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-log: 122.0ms (31.6% of total)
ival-mult: 96.0ms (24.8% of total)
ival-exp: 68.0ms (17.6% of total)
ival-add: 54.0ms (14% of total)
ival-sub: 37.0ms (9.6% of total)
ival-true: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain190.0ms (3.3%)

Memory
-51.4MiB live, 172.4MiB allocated; 110ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
00-0-(log.f64 y)
00-0-y
00-0-(+.f64 x (*.f64 y (log.f64 y)))
00-0-(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
77.0ms512×0valid
Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 44.0ms (75% of total)
ival-log: 6.0ms (10.2% of total)
ival-exp: 4.0ms (6.8% of total)
ival-sub: 2.0ms (3.4% of total)
ival-add: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess188.0ms (3.3%)

Memory
20.4MiB live, 204.7MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03590
110590
231183
394883
4367881
089
0139
1269
2618
31628
44948
537118
083378
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
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)

simplify275.0ms (4.8%)

Memory
22.2MiB live, 339.8MiB allocated; 111ms collecting garbage
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
449431
5371131
0833729
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

localize82.0ms (1.4%)

Memory
-21.2MiB live, 86.4MiB allocated; 59ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.00390625
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.0078125
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy0.27734375
(*.f64 y (log.f64 y))
Samples
76.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 4.0ms (37.4% of total)
ival-exp: 2.0ms (18.7% of total)
ival-mult: 2.0ms (18.7% of total)
ival-sub: 1.0ms (9.4% of total)
ival-add: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series117.0ms (2%)

Memory
-9.9MiB live, 130.3MiB allocated; 15ms collecting garbage
Counts
4 → 35
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 y (log.f64 y))
Outputs
(* y (log y))
(+ x (* y (log y)))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (+ x (* y (log y))) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
Calls

9 calls:

TimeVariablePointExpression
59.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
34.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
7.0ms
y
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
6.0ms
x
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
5.0ms
x
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))

simplify146.0ms (2.5%)

Memory
17.7MiB live, 192.8MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128482
1470415
22006388
08470368
Stop Event
iter limit
node limit
Counts
35 → 34
Calls
Call 1
Inputs
(* y (log y))
(+ x (* y (log y)))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (+ x (* y (log y))) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
Outputs
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.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) (fma.f64 (/.f64 (log.f64 y) x) (neg.f64 y) #s(literal -1 binary64)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (*.f64 y y) (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- x z)
(-.f64 x z)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 z x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (+.f64 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)

rewrite215.0ms (3.7%)

Memory
14.0MiB live, 258.5MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
15327
242326
3604426
0811824
Stop Event
iter limit
node limit
iter limit
Counts
4 → 164
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 y (log.f64 y))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) y x) y) (log.f64 y) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) y x))
(*.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x)) (/.f64 (fma.f64 (log.f64 y) y x) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))))
(*.f64 (fma.f64 (log.f64 y) y x) (/.f64 (-.f64 x (*.f64 (log.f64 y) y)) (-.f64 x (*.f64 (log.f64 y) y))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (fma.f64 (log.f64 y) y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (+.f64 z (fma.f64 (log.f64 y) y x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (fma.f64 (log.f64 y) y x)) (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (-.f64 (fma.f64 (log.f64 y) y x) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (-.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (neg.f64 (fma.f64 (log.f64 y) y x)) (/.f64 (neg.f64 (fma.f64 (log.f64 y) y x)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (fabs.f64 (fma.f64 (log.f64 y) y x)) (/.f64 (fabs.f64 (fma.f64 (log.f64 y) y x)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(fma.f64 (fma.f64 (log.f64 y) y x) (/.f64 (fma.f64 (log.f64 y) y x) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(fma.f64 y (log.f64 y) (-.f64 x z))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 (*.f64 (log.f64 y) y) z))) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 2 binary64)) (-.f64 x (-.f64 (*.f64 (log.f64 y) y) z))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (*.f64 z (/.f64 z (+.f64 z (fma.f64 (log.f64 y) y x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z (fma.f64 (log.f64 y) y x)) z (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (log.f64 y) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (log.f64 y) y))) z))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(-.f64 (*.f64 (log.f64 y) y) (-.f64 z x))
(-.f64 x (fma.f64 (neg.f64 y) (log.f64 y) z))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) y) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) z) (-.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) (*.f64 x x))))
(+.f64 (-.f64 x z) (*.f64 (log.f64 y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) y) x) (*.f64 (log.f64 y) y) (*.f64 x x))) z))
(+.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) y x) #s(literal 2 binary64)) (+.f64 z (fma.f64 (log.f64 y) y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (fma.f64 (log.f64 y) y x))))
(+.f64 (-.f64 (*.f64 (log.f64 y) y) z) x)
(+.f64 (*.f64 (log.f64 y) y) (-.f64 x z))
(+.f64 x (-.f64 (*.f64 (log.f64 y) y) z))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(+.f64 (log.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64)))) (log.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y))))
(log.f64 (pow.f64 y y))

eval26.0ms (0.5%)

Memory
7.1MiB live, 51.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 6 378 to 835 computations (86.9% saved)

prune7.0ms (0.1%)

Memory
-32.1MiB live, 13.0MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1894193
Fresh000
Picked101
Done000
Total1904194
Accuracy
100.0%
Counts
194 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
79.2%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
67.5%
#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)

simplify151.0ms (2.6%)

Memory
-1.4MiB live, 143.7MiB allocated; 64ms collecting garbage
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
41355130
08685123
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

localize61.0ms (1.1%)

Memory
32.1MiB live, 74.9MiB allocated; 8ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
accuracy0.0078125
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
accuracy0.25
(*.f64 (log.f64 y) y)
accuracy28.7962664464649
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
accuracy0.0
(-.f64 x z)
accuracy0.0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy17.44394283397633
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy0.0
(neg.f64 z)
accuracy0.0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy35.27135185326876
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
accuracy0.0
(pow.f64 y y)
accuracy0.0
(exp.f64 x)
accuracy0.24609237397081396
(*.f64 (pow.f64 y y) (exp.f64 x))
accuracy14.033571246213684
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Samples
47.0ms230×0valid
4.0ms26×0exit
Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-add: 19.0ms (49.9% of total)
ival-mult: 5.0ms (13.1% of total)
ival-pow: 4.0ms (10.5% of total)
ival-exp: 3.0ms (7.9% of total)
ival-sub: 3.0ms (7.9% of total)
ival-log: 3.0ms (7.9% of total)
ival-neg: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (1.3%)

Memory
-8.1MiB live, 95.5MiB allocated; 24ms collecting garbage
Counts
14 → 56
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
(exp.f64 x)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
Outputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
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))
14.0ms
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))
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))
8.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y))
7.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y))

simplify160.0ms (2.8%)

Memory
3.7MiB live, 283.2MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200711
1739637
23054636
08766590
Stop Event
iter limit
node limit
Counts
56 → 55
Calls
Call 1
Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 y y)) x (pow.f64 y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (fma.f64 (*.f64 (pow.f64 y y) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (pow.f64 y y)) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (* 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 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(*.f64 (neg.f64 x) (fma.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))))
(fma.f64 (exp.f64 (-.f64 x z)) (*.f64 (log.f64 y) y) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (exp.f64 (-.f64 x z)))) y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp x) (* y (* (exp x) (log y))))
(fma.f64 (*.f64 (exp.f64 x) y) (log.f64 y) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 x) y)) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) y (*.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (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 (fma.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)) y)
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(fma.f64 (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z (*.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+ x (* -1 z))
(-.f64 x z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(* z (- (/ x z) 1))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)

rewrite236.0ms (4.1%)

Memory
-33.5MiB live, 260.7MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023122
034122
1112122
2741121
08357114
Stop Event
iter limit
node limit
iter limit
Counts
14 → 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)
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))

eval90.0ms (1.6%)

Memory
40.1MiB live, 128.5MiB allocated; 22ms collecting garbage
Compiler

Compiled 9 017 to 1 019 computations (88.7% saved)

prune6.0ms (0.1%)

Memory
-30.5MiB live, 16.1MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2461247
Fresh000
Picked224
Done000
Total2483251
Accuracy
100.0%
Counts
251 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
48.9%
#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)

simplify258.0ms (4.5%)

Memory
0.2MiB live, 289.2MiB allocated; 42ms collecting garbage
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
483033
5790433
0818833
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

localize72.0ms (1.2%)

Memory
9.1MiB live, 95.4MiB allocated; 13ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y y)
accuracy14.033571246213684
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
accuracy17.304520431241315
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
Samples
23.0ms230×0valid
3.0ms26×0exit
Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow: 6.0ms (32.5% of total)
ival-exp: 4.0ms (21.7% of total)
ival-mult: 3.0ms (16.2% of total)
ival-log: 3.0ms (16.2% of total)
ival-add: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory
-7.5MiB live, 53.2MiB allocated; 5ms collecting garbage
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
14.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
7.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))
7.0ms
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
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))

simplify216.0ms (3.7%)

Memory
7.2MiB live, 214.6MiB allocated; 96ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124471
1473408
22058370
08250343
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))

rewrite185.0ms (3.2%)

Memory
24.2MiB live, 251.6MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01433
01533
16433
248332
3668432
0808432
Stop Event
iter limit
node limit
iter limit
Counts
3 → 35
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 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 (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 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (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)))

eval24.0ms (0.4%)

Memory
-25.2MiB live, 20.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 677 to 267 computations (84.1% saved)

prune2.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58260
Fresh000
Picked011
Done112
Total59463
Accuracy
100.0%
Counts
63 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
48.9%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
54.7%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
14.4%
#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)

simplify177.0ms (3.1%)

Memory
8.0MiB live, 197.6MiB allocated; 31ms collecting garbage
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
28869
323769
488569
0891369
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

localize62.0ms (1.1%)

Memory
-14.7MiB live, 132.7MiB allocated; 18ms collecting garbage
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy13.657512365460475
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
accuracy14.033571246213684
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
accuracy14.033571246213684
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
accuracy17.304520431241315
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
accuracy22.172854315550705
#s(approx (pow y y) #s(literal 1 binary64))
Samples
49.0ms230×0valid
3.0ms26×0exit
Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 22.0ms (56% of total)
ival-pow: 9.0ms (22.9% of total)
ival-mult: 3.0ms (7.6% of total)
ival-log: 3.0ms (7.6% of total)
ival-add: 1.0ms (2.5% of total)
ival-sub: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
12.8MiB live, 59.9MiB allocated; 2ms collecting garbage
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
8.0ms
x
@-inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
7.0ms
x
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
0.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))
0.0ms
y
@-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))

simplify153.0ms (2.6%)

Memory
4.3MiB live, 207.4MiB allocated; 26ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1517433
22227391
08524356
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))

rewrite312.0ms (5.4%)

Memory
-37.4MiB live, 297.5MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01869
01969
17169
249367
0670267
Stop Event
iter limit
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 (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (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))) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (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)) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval5.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 337 to 207 computations (84.5% saved)

prune6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
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
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
48.9%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
54.7%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
14.4%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
28.8%
#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)))))
25.8%
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
14.5%
#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)

regimes39.0ms (0.7%)

Memory
12.0MiB live, 59.1MiB allocated; 2ms collecting garbage
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:

16.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
y
4.0ms
z
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
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)

regimes36.0ms (0.6%)

Memory
16.8MiB live, 61.3MiB allocated; 5ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
Calls

7 calls:

15.0ms
y
4.0ms
z
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(*.f64 y (log.f64 y))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
94.8%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))
96.2%3x
94.8%2y
90.7%3z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes32.0ms (0.5%)

Memory
-21.3MiB live, 32.2MiB allocated; 7ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
Calls

3 calls:

24.0ms
y
3.0ms
x
3.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
83.2%3x
92.9%2(*.f64 y (log.f64 y))
92.9%2y
Compiler

Compiled 6 to 11 computations (-83.3% saved)

regimes21.0ms (0.4%)

Memory
-1.6MiB live, 43.4MiB allocated; 5ms collecting garbage
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

6 calls:

6.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
3.0ms
y
3.0ms
(*.f64 y (log.f64 y))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
78.0%4z
84.6%3(+.f64 x (*.f64 y (log.f64 y)))
70.5%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
70.5%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
77.7%3(*.f64 y (log.f64 y))
77.7%3y
Compiler

Compiled 29 to 32 computations (-10.3% saved)

regimes13.0ms (0.2%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
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:

3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
58.7%3z
72.9%2(*.f64 y (log.f64 y))
72.9%2y
74.2%3x
67.3%2(+.f64 x (*.f64 y (log.f64 y)))
Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes50.0ms (0.9%)

Memory
-28.5MiB live, 17.0MiB allocated; 5ms collecting garbage
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:

36.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
54.7%1z
54.7%1(+.f64 x (*.f64 y (log.f64 y)))
54.7%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
54.7%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
54.7%1x
54.7%1(*.f64 y (log.f64 y))
54.7%1y
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes14.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
Calls

7 calls:

2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
y
2.0ms
(*.f64 y (log.f64 y))
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
28.8%1z
30.9%2x
30.4%2(*.f64 y (log.f64 y))
30.4%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
30.4%2y
30.4%2(+.f64 x (*.f64 y (log.f64 y)))
28.8%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes12.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
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:

2.0ms
(*.f64 y (log.f64 y))
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
z
2.0ms
y
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
25.8%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
25.8%1z
25.8%1(+.f64 x (*.f64 y (log.f64 y)))
25.8%1y
25.8%1(*.f64 y (log.f64 y))
25.8%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
25.8%1x
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes26.0ms (0.4%)

Memory
-18.7MiB live, 26.3MiB allocated; 5ms collecting garbage
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:

17.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
1.0ms
x
1.0ms
z
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
14.5%1(+.f64 x (*.f64 y (log.f64 y)))
14.5%1(*.f64 y (log.f64 y))
14.5%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
14.5%1y
14.5%1x
14.5%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
14.5%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes8.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
(*.f64 y (log.f64 y))
1.0ms
z
1.0ms
y
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
14.4%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
14.4%1(*.f64 y (log.f64 y))
14.4%1(+.f64 x (*.f64 y (log.f64 y)))
14.4%1y
14.4%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
14.4%1x
14.4%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch21.0ms (0.4%)

Memory
-47.4MiB live, 9.8MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
96815237227.85321
132130098161.65228
Samples
15.0ms64×0valid
Compiler

Compiled 120 to 106 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (45.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
2.193024915248339e+64
4.992417530616216e+64
Samples
5.0ms80×0valid
Compiler

Compiled 177 to 144 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 1.0ms (37.6% of total)
ival-exp: 1.0ms (37.6% of total)
ival-mult: 1.0ms (37.6% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2588085765035386e+22
1.9323592157951093e+24
0.0ms
-49489715.22138891
-167.81047555155814
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch12.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
132130098161.65228
16174841124637.342
Samples
6.0ms112×0valid
Compiler

Compiled 285 to 224 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-log: 1.0ms (26.7% of total)
ival-exp: 1.0ms (26.7% of total)
ival-mult: 1.0ms (26.7% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
4488171447336691700.0
4527119490176094000.0
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify48.0ms (0.8%)

Memory
18.2MiB live, 61.0MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071341
197341
2148330
3295330
4947330
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 112000000000 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 28999999999999999302940677676364882913420128822116265766116392960 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 -40000000 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 40000000000000000000000 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 600000000000 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 4500000000000000000 binary64)) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 112000000000 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 28999999999999999302940677676364882913420128822116265766116392960 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 -40000000 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 40000000000000000000000 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 600000000000 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 4500000000000000000 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))))

derivations817.0ms (14.1%)

Memory
-32.4MiB live, 734.2MiB allocated; 110ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135496
1517433
22227391
08524356
0128482
1470415
22006388
08470368
0124471
1473408
22058370
08250343
0200711
1739637
23054636
08766590
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 341 to 71 computations (79.2% saved)

preprocess75.0ms (1.3%)

Memory
29.5MiB live, 118.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 718 to 174 computations (75.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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