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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (18.6%)

Memory

29.9MiB live, 1 496.1MiB allocated; 434ms collecting garbage

Samples

721.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 494.0ms

ival-mult: 122.0ms (24.7% of total)

ival-log: 104.0ms (21% of total)

ival-sub: 100.0ms (20.2% of total)

ival-add: 86.0ms (17.4% of total)

ival-exp: 71.0ms (14.4% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain105.0ms (1.6%)

Memory

28.7MiB live, 173.4MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
-	-	`(*.f64 y (log.f64 y))`
-	-	`(log.f64 y)`
-	-	`y`
-	-	`(+.f64 x (*.f64 y (log.f64 y)))`
-	-	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

38.0ms

512×

valid

Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 9.0ms (40.3% of total)

ival-exp: 4.0ms (17.9% of total)

ival-mult: 4.0ms (17.9% of total)

ival-add: 3.0ms (13.4% of total)

ival-sub: 2.0ms (9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess208.0ms (3.3%)

Memory

-18.6MiB live, 251.6MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	105	90
2	311	83
3	948	83
4	3643	81
0	8	9
0	13	9
1	26	9
2	61	8
3	162	8
4	493	8
5	3565	8
0	8160	8

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify181.0ms (2.8%)

Memory

43.8MiB live, 227.8MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (log.f64 y))
cost-diff	0	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
cost-diff	0	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
cost-diff	1	(+.f64 x (*.f64 y (log.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	13	32
1	26	32
2	61	31
3	162	31
4	493	31
5	3565	31
0	8160	29

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(+.f64 x (*.f64 y (log.f64 y)))
x
(*.f64 y (log.f64 y))
y
(log.f64 y)
z

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y x)
x
(*.f64 y (log.f64 y))
(*.f64 (log.f64 y) y)
y
(log.f64 y)
z

localize81.0ms (1.3%)

Memory

-26.6MiB live, 88.0MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy	0.00390625	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy	0.01171875	(+.f64 x (*.f64 y (log.f64 y)))
accuracy	0.2421875	(*.f64 y (log.f64 y))

Samples

75.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 36.0ms (53.6% of total)

ival-add: 23.0ms (34.2% of total)

ival-log: 5.0ms (7.4% of total)

ival-mult: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series111.0ms (1.7%)

Memory

19.8MiB live, 200.8MiB allocated; 26ms 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:

Time	Variable		Point	Expression
69.0ms	y	@	0	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
15.0ms	y	@	-inf	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
12.0ms	x	@	0	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
7.0ms	y	@	inf	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
2.0ms	z	@	0	((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))

simplify133.0ms (2.1%)

Memory

-27.9MiB live, 245.0MiB allocated; 69ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	484
1	470	416
2	1981	388
0	8253	369

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

Inputs
(* y (log y))
(+ x (* y (log y)))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (+ x (* y (log y))) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))

Outputs
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 (/.f64 (log.f64 y) x) x) y x)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (log.f64 y) x) (neg.f64 y)) #s(literal 1 binary64)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 (exp.f64 (-.f64 x z)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 y y) (.f64 (exp.f64 (-.f64 x z)) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) y) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- x z)
(-.f64 x z)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 x y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 z x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) z) z)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (.f64 z z) (.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (.f64 (pow.f64 y y) (exp.f64 x))) (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal -1 binary64)) z)

rewrite401.0ms (6.3%)

Memory

-5.7MiB live, 298.3MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	53	27
2	423	26
3	6041	26
0	8101	24

Stop Event

1×	iter limit
1×	node limit
1×	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 (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 (0.4%)

Memory: 24.8MiB live, 69.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 400 to 839 computations (86.9% saved)

prune24.0ms (0.4%)

Memory

-28.8MiB live, 17.0MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	4	195

Accuracy

100.0%

Counts

195 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.2%	(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
▶	81.5%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
▶	54.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
▶	69.7%	#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify160.0ms (2.5%)

Memory

-6.4MiB live, 285.6MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (log.f64 y) y)
cost-diff	0	#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
cost-diff	0	(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
cost-diff	0	(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
cost-diff	0	(-.f64 x z)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
cost-diff	0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 y y)
cost-diff	0	(*.f64 (pow.f64 y y) (exp.f64 x))
cost-diff	0	#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	131
0	34	131
1	62	131
2	132	130
3	348	130
4	1354	130
0	8846	123

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
y
(exp.f64 x)
x
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z

Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
y
(exp.f64 x)
x
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z

localize67.0ms (1%)

Memory

17.0MiB live, 107.7MiB allocated; 9ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 y)
accuracy	0.0	(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
accuracy	0.21484375	(*.f64 (log.f64 y) y)
accuracy	28.12913052673969	#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
accuracy	0.0	(-.f64 x z)
accuracy	0.0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy	17.794405730555063	#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy	34.547661952340434	#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
accuracy	0.0	(pow.f64 y y)
accuracy	0.0	(exp.f64 x)
accuracy	0.19921875000000003	(*.f64 (pow.f64 y y) (exp.f64 x))
accuracy	12.90550841887623	#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))

Samples

52.0ms	231×	0	valid
3.0ms	25×	0	exit

Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 23.0ms (54.6% of total)

ival-mult: 5.0ms (11.9% of total)

ival-exp: 4.0ms (9.5% of total)

ival-pow: 4.0ms (9.5% of total)

ival-log: 3.0ms (7.1% of total)

ival-add: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series197.0ms (3.1%)

Memory

-18.5MiB live, 155.1MiB allocated; 131ms collecting garbage

Counts

15 → 59

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
(exp.f64 x)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)

Outputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))

Calls

9 calls:

Time	Variable		Point	Expression
128.0ms	x	@	-inf	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
31.0ms	y	@	-inf	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
12.0ms	x	@	inf	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
10.0ms	y	@	0	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))
8.0ms	y	@	inf	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp x) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ x (* y (log y))) (* (log y) y) (log y))

simplify178.0ms (2.8%)

Memory

9.5MiB live, 232.3MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	727
1	739	651
2	3002	606
0	8457	565

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(* y (log y))
(+ x (* y (log y)))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (* -1 z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))

Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(.f64 (pow.f64 y y) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (.f64 (pow.f64 y y) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(* y (log y))
(*.f64 (log.f64 y) y)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp x)
(exp.f64 x)
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (+ 1 (* -1 (/ z x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (*.f64 x y) (/.f64 (log.f64 y) x) x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (neg.f64 y) (log.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* x (- (/ z x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (log.f64 y) x) (neg.f64 y)) #s(literal 1 binary64)))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 (exp.f64 (-.f64 x z)) (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 y y) (.f64 (exp.f64 (-.f64 x z)) (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(+ (exp x) (* y (* (exp x) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (.f64 (exp.f64 x) (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(log y)
(log.f64 y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(*.f64 (+.f64 (/.f64 (-.f64 x z) y) (log.f64 y)) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (log.f64 y)) y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 x z) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x y))) y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 z (.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 (exp.f64 x) (pow.f64 y y)) (.f64 (.f64 z z) (.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)))))
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+ x (* -1 z))
(-.f64 x z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) #s(literal 1 binary64)) z)
(* z (- (/ x z) 1))
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (/.f64 (fma.f64 (log.f64 y) y x) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) z (neg.f64 z))

rewrite227.0ms (3.6%)

Memory

13.3MiB live, 265.4MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	34	124
1	112	124
2	741	123
0	8339	116

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 201

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(pow.f64 y y)
(exp.f64 x)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
(exp.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)

Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) (*.f64 (exp.f64 x) (pow.f64 y y)))
(.f64 (.f64 (*.f64 (exp.f64 x) (sqrt.f64 (pow.f64 y y))) (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (exp.f64 x) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (log.f64 y) y) (fma.f64 (log.f64 y) y (neg.f64 x)) (.f64 x x)))) (exp.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) y) #s(literal 3 binary64)) (fma.f64 (.f64 (log.f64 y) y) (fma.f64 (log.f64 y) y (neg.f64 x)) (.f64 x x)))))
(.f64 (.f64 (exp.f64 x) (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y)))
(.f64 (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 y (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 x))))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (exp.f64 x)))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 y y) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (pow.f64 y y) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 y y)) (.f64 (cosh.f64 x) (pow.f64 y y))) (.f64 (.f64 (sinh.f64 x) (pow.f64 y y)) (.f64 (sinh.f64 x) (pow.f64 y y)))) (-.f64 (.f64 (cosh.f64 x) (pow.f64 y y)) (.f64 (sinh.f64 x) (pow.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y y) (cosh.f64 x)) (.f64 (pow.f64 y y) (cosh.f64 x))) (.f64 (.f64 (pow.f64 y y) (sinh.f64 x)) (.f64 (pow.f64 y y) (sinh.f64 x)))) (-.f64 (.f64 (pow.f64 y y) (cosh.f64 x)) (.f64 (pow.f64 y y) (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (cosh.f64 (fma.f64 (log.f64 y) y x))) (.f64 (sinh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (pow.f64 y y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (pow.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 x) (pow.f64 y y)) (.f64 (cosh.f64 x) (pow.f64 y y)) (-.f64 (.f64 (.f64 (sinh.f64 x) (pow.f64 y y)) (.f64 (sinh.f64 x) (pow.f64 y y))) (.f64 (.f64 (cosh.f64 x) (pow.f64 y y)) (.f64 (sinh.f64 x) (pow.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 y y) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 y y) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 y y) (cosh.f64 x)) (.f64 (pow.f64 y y) (cosh.f64 x)) (-.f64 (.f64 (.f64 (pow.f64 y y) (sinh.f64 x)) (.f64 (pow.f64 y y) (sinh.f64 x))) (.f64 (.f64 (pow.f64 y y) (cosh.f64 x)) (.f64 (pow.f64 y y) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 (log.f64 y) y x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (cosh.f64 (fma.f64 (log.f64 y) y x)) (-.f64 (.f64 (sinh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x))) (.f64 (cosh.f64 (fma.f64 (log.f64 y) y x)) (sinh.f64 (fma.f64 (log.f64 y) y x))))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (pow.f64 y (neg.f64 y))))
(/.f64 (exp.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (log.f64 y) y)))) (exp.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) y) #s(literal 2 binary64)) (-.f64 x (.f64 (log.f64 y) y)))))
(/.f64 (exp.f64 x) (pow.f64 y (neg.f64 y)))
(fma.f64 (.f64 (cosh.f64 x) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))) (.f64 (sinh.f64 x) (pow.f64 y y)))
(fma.f64 (.f64 (sinh.f64 x) (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (sqrt.f64 (pow.f64 y y))) (.f64 (cosh.f64 x) (pow.f64 y y)))
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(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z)) (.f64 (+.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) z) (.f64 z z))) (.f64 (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (+.f64 #s(approx (+ x ( y (log y))) (*.f64 (log.f64 y) y)) z)))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (.f64 (fma.f64 z (+.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64))) (fma.f64 z (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)) (.f64 z z))) (neg.f64 (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)) (.f64 z z)) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z))
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z)) (/.f64 (.f64 z z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z) (pow.f64 #s(approx (+ x ( y (log y))) (*.f64 (log.f64 y) y)) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)
(+.f64 (/.f64 (pow.f64 #s(approx (+ x (* y (log y))) (.f64 (log.f64 y) y)) #s(literal 2 binary64)) (+.f64 #s(approx (+ x ( y (log y))) (.f64 (log.f64 y) y)) z)) (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y)) z)))
#s(approx (+ x (* y (log y))) (*.f64 (log.f64 y) y))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 y #s(literal 2 binary64))) (log.f64 y))
(.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 (.f64 y y)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (log.f64 y) (log.f64 (exp.f64 y)))
(*.f64 (log.f64 y) y)
(*.f64 y (log.f64 y))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))) (.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))) (-.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 3 binary64))) (fma.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))) (-.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))) (.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y)))))))
(neg.f64 (*.f64 (neg.f64 y) (log.f64 y)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) (log.f64 y) (log.f64 (sqrt.f64 (pow.f64 y y))))
(fma.f64 (log.f64 y) (/.f64 y #s(literal 2 binary64)) (log.f64 (sqrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(log.f64 (pow.f64 y y))
(log.f64 y)

eval38.0ms (0.6%)

Memory: -2.8MiB live, 85.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 9 073 to 1 027 computations (88.7% saved)

prune7.0ms (0.1%)

Memory

-22.9MiB live, 22.4MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	253	3	256

Accuracy

100.0%

Counts

256 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

81.5%

(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))

✓

54.8%

(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

▶

55.1%

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

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify257.0ms (4%)

Memory

36.1MiB live, 322.4MiB allocated; 53ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 y y)
cost-diff	0	#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
cost-diff	0	#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)

Iter	Nodes	Cost
0	14	34
0	15	34
1	32	34
2	79	33
3	222	33
4	829	33
5	7741	33
0	8268	33

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
y

Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)
y

localize59.0ms (0.9%)

Memory

-18.1MiB live, 69.6MiB allocated; 15ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y y)
accuracy	12.90550841887623	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
accuracy	15.951605045521644	#s(approx (* (pow y y) (exp x)) (pow.f64 y y))

Samples

26.0ms	231×	0	valid
3.0ms	25×	0	exit

Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow: 8.0ms (38.3% of total)

ival-exp: 4.0ms (19.2% of total)

ival-mult: 3.0ms (14.4% of total)

ival-log: 3.0ms (14.4% of total)

ival-add: 1.0ms (4.8% of total)

ival-sub: 1.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory

-5.3MiB live, 49.8MiB allocated; 20ms 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:

Time	Variable		Point	Expression
28.0ms	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))
0.0ms	y	@	0	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y))

simplify233.0ms (3.6%)

Memory

20.7MiB live, 299.2MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	471
1	473	408
2	2037	370
0	8241	343

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(exp x)
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
1
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))

Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 x (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(.f64 (pow.f64 y y) (fma.f64 x (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (.f64 (pow.f64 y y) (fma.f64 x (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (pow.f64 y y))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 (exp.f64 (-.f64 x z)) (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 y y) (.f64 (exp.f64 (-.f64 x z)) (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(exp x)
(exp.f64 x)
(+ (exp x) (* y (* (exp x) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (.f64 (exp.f64 x) (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 z (.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (.f64 z z) (.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

rewrite220.0ms (3.4%)

Memory

1.8MiB live, 302.4MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	33
0	15	33
1	64	33
2	483	32
3	6667	32
0	8286	32

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 34

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(pow.f64 y y)

Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
#s(approx (* (pow y y) (exp x)) (pow.f64 y y))
(.f64 (.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 y (/.f64 y #s(literal 4 binary64)))) (pow.f64 y (/.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 1 binary64)))
(.f64 (pow.f64 y (/.f64 (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 y (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(.f64 (pow.f64 y (/.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y (/.f64 y #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y y))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (neg.f64 (sqrt.f64 (pow.f64 y y))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (sqrt.f64 (pow.f64 y y)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 y) (log.f64 y))
(pow.f64 (*.f64 y y) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 y y)) #s(literal 2 binary64))
(pow.f64 y (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 y y)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 y) y)) (cosh.f64 (.f64 (log.f64 y) y)) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 y) y)) (sinh.f64 (.f64 (log.f64 y) y))) (.f64 (cosh.f64 (.f64 (log.f64 y) y)) (sinh.f64 (.f64 (log.f64 y) y))))))
(/.f64 #s(literal 1 binary64) (pow.f64 y (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 y y))) (sqrt.f64 (pow.f64 y y))))
(neg.f64 (*.f64 (sqrt.f64 (pow.f64 y y)) (neg.f64 (sqrt.f64 (pow.f64 y y)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 (sqrt.f64 (pow.f64 y y)))) (cosh.f64 (log.f64 (sqrt.f64 (pow.f64 y y))))) (cosh.f64 (.f64 (log.f64 y) y)))
(-.f64 (cosh.f64 (.f64 (log.f64 y) y)) (sinh.f64 (.f64 (neg.f64 y) (log.f64 y))))
(fabs.f64 (pow.f64 y y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) (log.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) (/.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 y) (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) y))
(+.f64 (cosh.f64 (.f64 (log.f64 (exp.f64 y)) (log.f64 y))) (sinh.f64 (.f64 (log.f64 (exp.f64 y)) (log.f64 y))))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 y y)) (/.f64 y #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 (.f64 y y)) (/.f64 y #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (.f64 (log.f64 y) (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 y) y)) (cosh.f64 (.f64 (log.f64 y) y)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) y)) (sinh.f64 (.f64 (log.f64 y) y)))

eval25.0ms (0.4%)

Memory: -11.0MiB live, 33.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 649 to 264 computations (84% saved)

prune2.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	58	4	62

Accuracy

100.0%

Counts

62 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
✓	55.1%	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
▶	52.3%	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
▶	14.9%	#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)

simplify169.0ms (2.6%)

Memory

0.6MiB live, 228.1MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 x)
cost-diff	0	#s(approx (* (pow y y) (exp x)) (exp.f64 x))
cost-diff	0	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
cost-diff	0	#s(approx (pow y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
cost-diff	0	#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)

Iter	Nodes	Cost
0	18	71
0	19	71
1	38	71
2	85	69
3	226	69
4	831	69
5	7752	69
0	8279	69

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
x

Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)
x

localize59.0ms (0.9%)

Memory

-27.1MiB live, 81.6MiB allocated; 18ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	12.90550841887623	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
accuracy	14.447000405223589	#s(approx (* (pow y y) (exp x)) (exp.f64 x))
accuracy	12.90550841887623	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
accuracy	15.951605045521644	#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
accuracy	24.62545976898866	#s(approx (pow y y) #s(literal 1 binary64))

Samples

26.0ms	25×	0	exit
26.0ms	231×	0	valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-exp: 7.0ms (34.7% of total)

ival-pow: 4.0ms (19.8% of total)

ival-mult: 3.0ms (14.9% of total)

ival-log: 3.0ms (14.9% of total)

ival-add: 1.0ms (5% of total)

ival-sub: 1.0ms (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)

series15.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms 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:

Time	Variable		Point	Expression
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))
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	x	@	0	((exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (pow y y) (exp (- (+ x (* y (log y))) z)) (* (pow y y) (exp x)) (exp x))

simplify239.0ms (3.7%)

Memory

-29.1MiB live, 258.9MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	496
1	517	433
2	2186	391
0	8228	356

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

Inputs
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(pow y y)
(+ (* x (pow y y)) (pow y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp (- (+ x (* y (log y))) z))
(* (exp x) (pow y y))
(exp x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(+ (exp x) (* y (* (exp x) (log y))))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(+ 1 (* y (log y)))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(exp (+ x (+ (* -1 z) (* y (log y)))))

Outputs
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(pow y y)
(pow.f64 y y)
(+ (* x (pow y y)) (pow y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y y))
(+ (* x (+ (* 1/2 (* x (pow y y))) (pow y y))) (pow y y))
(*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* x (+ (* 1/6 (* x (pow y y))) (* 1/2 (pow y y)))) (pow y y))) (pow y y))
(fma.f64 (*.f64 (pow.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x (pow.f64 y y))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* (exp x) (pow y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp x)
(exp.f64 x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 (exp.f64 (-.f64 x z)) (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(fma.f64 (.f64 y y) (.f64 (exp.f64 (-.f64 x z)) (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(+ (exp x) (* y (* (exp x) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* y (+ (* 1/2 (* y (* (exp x) (pow (log y) 2)))) (* (exp x) (log y)))))
(fma.f64 (.f64 (exp.f64 x) (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y))) y (exp.f64 x))
(+ (exp x) (* y (+ (* y (+ (* 1/6 (* y (* (exp x) (pow (log y) 3)))) (* 1/2 (* (exp x) (pow (log y) 2))))) (* (exp x) (log y)))))
(fma.f64 (fma.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64)))) y (.f64 (exp.f64 x) (log.f64 y))) y (exp.f64 x))
(+ 1 (* y (log y)))
(fma.f64 (log.f64 y) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* 1/2 (* y (pow (log y) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64) (log.f64 y)) y #s(literal 1 binary64))
(+ 1 (* y (+ (log y) (* y (+ (* 1/6 (* y (pow (log y) 3))) (* 1/2 (pow (log y) 2)))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) y (log.f64 y)) y #s(literal 1 binary64))
(exp (+ x (* y (log y))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 (exp.f64 x) (pow.f64 y y)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (+.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (.f64 z (.f64 #s(literal 1/2 binary64) z))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(fma.f64 (.f64 z z) (.f64 (.f64 (exp.f64 x) (pow.f64 y y)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (*.f64 (exp.f64 x) (pow.f64 y y))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))

rewrite307.0ms (4.8%)

Memory

32.1MiB live, 403.2MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	19	69
1	71	69
2	490	67
3	6674	67
0	8292	67

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 20

Calls

Call 1

Inputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(exp.f64 x)

Outputs
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
#s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64)))
#s(approx (pow y y) #s(literal 1 binary64))
#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
#s(approx (* (pow y y) (exp x)) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval15.0ms (0.2%)

Memory: -15.5MiB live, 28.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 329 to 209 computations (84.3% saved)

prune21.0ms (0.3%)

Memory

-17.5MiB live, 41.7MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	46	7	53

Accuracy

100.0%

Counts

53 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
✓	55.1%	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (pow.f64 y y)))
✓	52.3%	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) (exp.f64 x)))
✓	14.9%	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (pow y y) #s(literal 1 binary64))))
	33.0%	#s(approx (exp (- (+ x (* y (log y))) z)) #s(approx (* (pow y y) (exp x)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
	29.0%	#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)))))
	15.3%	#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)

regimes85.0ms (1.3%)

Memory

11.7MiB live, 103.4MiB allocated; 6ms 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:

33.0ms	(*.f64 y (log.f64 y))
17.0ms	x
7.0ms	(+.f64 x (*.f64 y (log.f64 y)))
7.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms	z

Results

Accuracy	Segments	Branch
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%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes119.0ms (1.9%)

Memory

14.5MiB live, 126.8MiB allocated; 36ms 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:

73.0ms	(*.f64 y (log.f64 y))
14.0ms	x
7.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
7.0ms	(+.f64 x (*.f64 y (log.f64 y)))
7.0ms	z

Results

Accuracy	Segments	Branch
97.5%	2	`(*.f64 y (log.f64 y))`
92.2%	2	`(+.f64 x (*.f64 y (log.f64 y)))`
92.2%	2	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
90.3%	2	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
95.8%	3	`x`
97.5%	2	`y`
94.0%	3	`z`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes19.0ms (0.3%)

Memory

-21.8MiB live, 23.1MiB allocated; 4ms 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

2 calls:

15.0ms	y
3.0ms	(*.f64 y (log.f64 y))

Results

Accuracy	Segments	Branch
95.6%	2	`(*.f64 y (log.f64 y))`
95.6%	2	`y`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes29.0ms (0.5%)

Memory

6.5MiB live, 49.6MiB allocated; 6ms 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

7 calls:

13.0ms	(+.f64 x (*.f64 y (log.f64 y)))
3.0ms	y
3.0ms	(*.f64 y (log.f64 y))
3.0ms	x
3.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

Results

Accuracy	Segments	Branch
70.1%	2	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
81.8%	3	`(+.f64 x (*.f64 y (log.f64 y)))`
70.9%	2	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
80.6%	4	`z`
80.2%	4	`x`
80.8%	3	`(*.f64 y (log.f64 y))`
81.2%	3	`y`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes37.0ms (0.6%)

Memory

-5.4MiB live, 41.5MiB allocated; 3ms 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:

26.0ms	z
3.0ms	(*.f64 y (log.f64 y))
3.0ms	(+.f64 x (*.f64 y (log.f64 y)))
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.4%	3	`x`
59.2%	2	`z`
76.6%	2	`(*.f64 y (log.f64 y))`
76.6%	2	`y`
66.4%	2	`(+.f64 x (*.f64 y (log.f64 y)))`

Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes16.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms 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:

2.0ms	x
2.0ms	(*.f64 y (log.f64 y))
2.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms	y
2.0ms	(+.f64 x (*.f64 y (log.f64 y)))

Results

Accuracy	Segments	Branch
52.3%	1	`z`
52.3%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
52.3%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
52.3%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
52.3%	1	`x`
52.3%	1	`(*.f64 y (log.f64 y))`
52.3%	1	`y`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes69.0ms (1.1%)

Memory

-39.5MiB live, 16.3MiB allocated; 7ms collecting garbage

Counts

4 → 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)))))

Outputs

#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:

57.0ms	x
2.0ms	(*.f64 y (log.f64 y))
2.0ms	z
2.0ms	y
2.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

Results

Accuracy	Segments	Branch
33.0%	1	`x`
33.0%	1	`z`
33.0%	1	`(*.f64 y (log.f64 y))`
33.0%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
33.0%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
33.0%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
33.0%	1	`y`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes12.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB 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	z
2.0ms	y
2.0ms	(*.f64 y (log.f64 y))
2.0ms	(+.f64 x (*.f64 y (log.f64 y)))
2.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

Results

Accuracy	Segments	Branch
29.0%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
29.0%	1	`x`
29.0%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
29.0%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
29.0%	1	`y`
29.0%	1	`(*.f64 y (log.f64 y))`
29.0%	1	`z`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes10.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms 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:

1.0ms	(*.f64 y (log.f64 y))
1.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms	z
1.0ms	(+.f64 x (*.f64 y (log.f64 y)))
1.0ms	y

Results

Accuracy	Segments	Branch
15.3%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
15.3%	1	`(*.f64 y (log.f64 y))`
15.3%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
15.3%	1	`y`
15.3%	1	`x`
15.3%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
15.3%	1	`z`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms	(+.f64 x (*.f64 y (log.f64 y)))
1.0ms	(*.f64 y (log.f64 y))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
14.9%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
14.9%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
14.9%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
14.9%	1	`x`
14.9%	1	`y`
14.9%	1	`(*.f64 y (log.f64 y))`
14.9%	1	`z`

Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch23.0ms (0.4%)

Memory

-29.6MiB live, 15.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.132502241120988e+86	2.8280096507984207e+86

Samples

19.0ms

80×

valid

Compiler

Compiled 147 to 129 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 14.0ms (84.4% of total)

ival-exp: 1.0ms (6% of total)

ival-mult: 1.0ms (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)

bsearch16.0ms (0.3%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.131795359119588e+97	1.1298256692256952e+103

Samples

9.0ms

144×

valid

Compiler

Compiled 309 to 248 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 2.0ms (38.3% of total)

ival-sub: 1.0ms (19.1% of total)

ival-add: 1.0ms (19.1% of total)

ival-exp: 1.0ms (19.1% of total)

ival-mult: 1.0ms (19.1% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.649824065162951e+116	4.678052024047618e+116
0.0ms	-3.761993596318896e+67	-3.353676858494587e+45

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch24.0ms (0.4%)

Memory

-11.4MiB live, 32.2MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.13023475710494029	12679267.701988839

Samples

16.0ms

144×

valid

Compiler

Compiled 363 to 284 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 8.0ms (64% of total)

ival-log: 2.0ms (16% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

ival-mult: 1.0ms (8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify58.0ms (0.9%)

Memory

7.1MiB live, 52.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	310
1	94	310
2	142	300
3	282	300
4	886	300
5	7950	300

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 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 900000000000000043452635382169862305944401373107858924716422065979398308272520441556776576805240832 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 -19999999999999999654735515678371196634479565751161864557154294300672 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 400000000000000006223766451786737209707280558768424573347908232172333512465902281305994155966018979070482512347136000 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 40 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)))
#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 114999999999999994780783604737046611126799081327409879365931268354140026726357821030400 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 900000000000000043452635382169862305944401373107858924716422065979398308272520441556776576805240832 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 -19999999999999999654735515678371196634479565751161864557154294300672 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 400000000000000006223766451786737209707280558768424573347908232172333512465902281305994155966018979070482512347136000 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 40 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)))
#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))))

derivations809.0ms (12.7%)

Memory

9.6MiB live, 702.3MiB allocated; 201ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	471
1	473	408
2	2037	370
0	8241	343
0	135	496
1	517	433
2	2186	391
0	8228	356
0	200	727
1	739	651
2	3002	606
0	8457	565
0	128	484
1	470	416
2	1981	388
0	8253	369

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 310 to 68 computations (78.1% saved)

preprocess65.0ms (1%)

Memory: 2.2MiB live, 146.4MiB allocated; 28ms collecting garbage
Compiler: Compiled 656 to 168 computations (74.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (18.6%)

explain105.0ms (1.6%)

preprocess208.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify181.0ms (2.8%)

localize81.0ms (1.3%)

series111.0ms (1.7%)

simplify133.0ms (2.1%)

rewrite401.0ms (6.3%)

eval26.0ms (0.4%)

prune24.0ms (0.4%)

simplify160.0ms (2.5%)

localize67.0ms (1%)

series197.0ms (3.1%)

simplify178.0ms (2.8%)

rewrite227.0ms (3.6%)

eval38.0ms (0.6%)

prune7.0ms (0.1%)

simplify257.0ms (4%)

localize59.0ms (0.9%)

series36.0ms (0.6%)

simplify233.0ms (3.6%)

rewrite220.0ms (3.4%)

eval25.0ms (0.4%)

prune2.0ms (0%)

simplify169.0ms (2.6%)

localize59.0ms (0.9%)

series15.0ms (0.2%)

simplify239.0ms (3.7%)

rewrite307.0ms (4.8%)

eval15.0ms (0.2%)

prune21.0ms (0.3%)

regimes85.0ms (1.3%)

regimes119.0ms (1.9%)

regimes19.0ms (0.3%)

regimes29.0ms (0.5%)

regimes37.0ms (0.6%)

regimes16.0ms (0.2%)

regimes69.0ms (1.1%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch24.0ms (0.4%)

simplify58.0ms (0.9%)

derivations809.0ms (12.7%)

preprocess65.0ms (1%)

end0.0ms (0%)

Profiling