Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample808.0ms (11.5%)

Memory

16.5MiB live, 858.2MiB allocated

Samples

507.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 142.0ms (63.7% of total)

ival-exp: 73.0ms (32.7% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain56.0ms (0.8%)

Memory

18.0MiB live, 112.9MiB allocated

FPErrors

Click to see full error table

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

24.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.7% of total)

ival-exp: 4.0ms (31.9% of total)

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

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

preprocess131.0ms (1.9%)

Memory

2.3MiB live, 148.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	48	34
2	145	34
3	405	34
4	1375	34
0	5	6
0	8	6
1	17	6
2	39	6
3	109	6
4	393	6
5	1869	6
6	5811	6
0	8404	6

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)

Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify149.0ms (2.1%)

Memory

-25.2MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	17	16
2	39	16
3	109	16
4	393	16
5	1869	16
6	5811	16
0	8404	16

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(.f64 (.f64 x y) y)
(.f64 (.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y

localize18.0ms (0.3%)

Memory

-10.3MiB live, 34.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.11328125	(.f64 (.f64 x y) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (55.8% of total)

ival-exp: 2.0ms (37.2% of total)

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

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

series6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

3 → 9

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	x	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	y	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))

simplify175.0ms (2.5%)

Memory

-10.9MiB live, 226.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	98
1	146	98
2	540	98
3	2319	98
4	6123	98
0	8176	87

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))

rewrite216.0ms (3.1%)

Memory

2.7MiB live, 335.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	60	14
3	382	14
4	5003	14
0	8650	14

Stop Event

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

Counts

3 → 276

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) y)
(*.f64 x y)

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (/.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (neg.f64 y)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (neg.f64 y) #s(literal 2 binary64))) (neg.f64 y)))
(.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 (.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))
(.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (*.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (*.f64 y x) y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y x) y))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sinh.f64 (.f64 (.f64 y x) y)) (.f64 #s(literal 4 binary64) (cosh.f64 (.f64 (.f64 y x) y)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y x) y))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) y))
(.f64 (pow.f64 (exp.f64 x) (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64)))) (pow.f64 (exp.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y x) y))) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 4 binary64) (cosh.f64 (.f64 (.f64 y x) y))) (.f64 #s(literal 4 binary64) (sinh.f64 (.f64 (*.f64 y x) y)))) #s(literal -1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))) #s(literal -1 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y x) y))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (.f64 (.f64 y x) y)) #s(literal 4 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64))))) (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 y) (.f64 x (/.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 (pow.f64 (exp.f64 y) y) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) x)) (/.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))) (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))
(.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y x) y))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y x) y))) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) y) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (neg.f64 y)) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) (neg.f64 x)) y)
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) y) (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 y)) x) (neg.f64 y))
(pow.f64 (pow.f64 (exp.f64 x) (exp.f64 (log.f64 y))) (exp.f64 (log.f64 y)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) x))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (.f64 (neg.f64 y) y)) (.f64 x #s(literal -1 binary64)))
(pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (/.f64 y #s(literal 2 binary64)) x))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (/.f64 y #s(literal 2 binary64)) y))
(pow.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 y y) #s(literal -1 binary64)))
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(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 y x)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 (+.f64 x x) y)) (.f64 (sinh.f64 (.f64 y x)) (cosh.f64 (.f64 y x)))))))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 y x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y x)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y x)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 y)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 y x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 y x)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 y x)) (cosh.f64 (*.f64 y x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 y x)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (.f64 (+.f64 x x) y)) (.f64 (sinh.f64 (.f64 y x)) (cosh.f64 (.f64 y x))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 y #s(literal 2 binary64)) x) (.f64 (/.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) x))

eval33.0ms (0.5%)

Memory: 36.3MiB live, 81.6MiB allocated
Compiler: Compiled 7 330 to 845 computations (88.5% saved)

prune13.0ms (0.2%)

Memory

-33.3MiB live, 18.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	281	2	283
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	281	3	284

Accuracy

100.0%

Counts

284 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	62.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	48.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify170.0ms (2.4%)

Memory

29.6MiB live, 219.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	13	34
1	31	34
2	82	34
3	238	34
4	533	34
5	2022	34
6	5003	34
7	7567	34
0	8049	34

Stop Event

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

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
y
x
#s(literal 1 binary64)

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
y
x
#s(literal 1 binary64)

localize32.0ms (0.5%)

Memory

-9.1MiB live, 37.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	2.1122293829877234	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	25.229337918491574	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	33.2519698389103	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 16.0ms (82.8% of total)

ival-exp: 2.0ms (10.3% of total)

ival-add: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 12

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 1 x) (pow y 2)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(* (pow y 2) (+ x (/ 1 (pow y 2))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms	y	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms	x	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms	y	@	0	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))
0.0ms	x	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y))

simplify264.0ms (3.7%)

Memory

-26.2MiB live, 224.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	127
1	176	127
2	627	127
3	2781	125
4	6828	125
0	8074	112

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(exp (* x (pow y 2)))
(* x (pow y 2))
(* x (+ (/ 1 x) (pow y 2)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(* (pow y 2) (+ x (/ 1 (pow y 2))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))

rewrite144.0ms (2%)

Memory

36.0MiB live, 180.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	13	30
1	48	30
2	257	30
3	2467	30
0	8770	30

Stop Event

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

Counts

4 → 144

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)))) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (fma.f64 (.f64 y y) x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))) (fma.f64 (.f64 y y) x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64)) (.f64 (*.f64 y y) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 x (fma.f64 (.f64 y y) x #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))))
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(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(fma.f64 y (fabs.f64 (*.f64 (fabs.f64 x) y)) #s(literal 1 binary64))
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) #s(literal 1 binary64))
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (fabs.f64 x) y) #s(literal 1 binary64))
(fma.f64 y (*.f64 y x) #s(literal 1 binary64))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (.f64 y y) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3/2 binary64))) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3/2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(+.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) (.f64 y y)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(fabs.f64 (*.f64 y y))
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) y))

eval128.0ms (1.8%)

Memory: -13.5MiB live, 33.6MiB allocated
Compiler: Compiled 5 083 to 587 computations (88.5% saved)

prune4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	149	6	155

Accuracy

100.0%

Counts

155 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
▶	60.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	47.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
▶	16.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	48.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 97 to 62 computations (36.1% saved)

simplify222.0ms (3.2%)

Memory

-16.9MiB live, 129.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 y y) x))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
cost-diff	8	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	243
0	45	225
1	97	225
2	362	225
3	2128	225
4	6481	225
0	8502	225

Stop Event

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

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y)
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x) (.f64 y y) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y)
(.f64 x (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) y) y) y y))
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x) y) y #s(literal 1 binary64)) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize98.0ms (1.4%)

Memory

7.3MiB live, 99.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	1.4395473272056942	(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	1.8492354391960277	(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy	2.319287713759412	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
accuracy	2.865974919488364	(.f64 (.f64 y y) x)
accuracy	0.0	(*.f64 y x)
accuracy	0.05078125	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	9.195382509364418	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	0.0625	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
accuracy	2.865974919488364	(.f64 (.f64 y y) x)
accuracy	9.195382509364418	#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
accuracy	9.839033993769155	(sqrt.f64 (.f64 (.f64 y y) x))
accuracy	0.0	(*.f64 y y)
accuracy	2.865974919488364	(.f64 (.f64 y y) x)
accuracy	9.195382509364418	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
accuracy	11.537279115993686	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))

Samples

47.0ms	119×	0	valid
35.0ms	137×	0	invalid

Compiler

Compiled 191 to 28 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 18.0ms (55.8% of total)

ival-add: 6.0ms (18.6% of total)

const: 4.0ms (12.4% of total)

ival-exp: 2.0ms (6.2% of total)

ival-sqrt: 2.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series151.0ms (2.1%)

Memory

-17.5MiB live, 36.7MiB allocated

Counts

15 → 60

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (.f64 y y) x))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y)
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* (sqrt x) y)
(* x y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* -1 (* (sqrt x) y))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))

Calls

6 calls:

Time	Variable		Point	Expression
138.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
4.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
2.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
2.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
2.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))

simplify349.0ms (5%)

Memory

22.2MiB live, 378.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	910
1	769	892
2	3250	870
0	8457	805

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* (sqrt x) y)
(* x y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(pow y 2)
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* -1 (* (sqrt x) y))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* x y)
(*.f64 y x)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x)
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) x)
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x #s(literal 1 binary64)) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(exp (* x (pow y 2)))
(pow.f64 (exp.f64 y) (*.f64 y x))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* 1/6 (* (pow x 3) (pow y 6)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 5)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 4)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 2)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) y) y)
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(.f64 (.f64 y y) x)
(* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y (/.f64 #s(literal -1/2 binary64) x)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/2 binary64) (*.f64 y y))) x #s(literal 1 binary64)) x) y)
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x #s(literal 1 binary64)) x)
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (*.f64 y y))
(* -1 (* (sqrt x) y))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))

rewrite217.0ms (3.1%)

Memory

12.8MiB live, 329.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	203
0	45	185
1	168	184
2	1131	179
0	8601	175

Stop Event

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

Counts

15 → 575

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (.f64 y y) x))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(*.f64 y x)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y)
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 y y) x)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))

Outputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
(.f64 (neg.f64 (.f64 (*.f64 (sqrt.f64 x) y) y)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))) y)
(.f64 (fabs.f64 (.f64 y x)) (fabs.f64 (*.f64 y #s(literal 1 binary64))))
(.f64 (fabs.f64 (.f64 y x)) y)
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) (*.f64 y x))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) y)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) y)))
(.f64 (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) y)
(.f64 (.f64 (*.f64 (sqrt.f64 x) y) y) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) y) y) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) y) y) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 y y) x) (*.f64 y x)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 (.f64 (.f64 y y) x) y) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)) y)
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) y)))
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)) y)
(.f64 (pow.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal 1 binary64)) y)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) y)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) y)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y (.f64 (*.f64 y y) x))))
(.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (.f64 y (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (.f64 y x) (.f64 (*.f64 y y) x))))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 (.f64 y x) (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 x) (.f64 (*.f64 y y) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (.f64 y y))
(.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (.f64 y (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (.f64 y (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 y x) (neg.f64 (*.f64 y #s(literal 1 binary64))))
(.f64 (.f64 y x) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y x) y)
(.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))
(.f64 (.f64 y y) (neg.f64 (*.f64 x #s(literal 1 binary64))))
(.f64 (.f64 y y) (fabs.f64 (*.f64 x #s(literal 1 binary64))))
(.f64 (.f64 y y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 y y) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y y) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (.f64 y y) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))
(.f64 y (neg.f64 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))))
(.f64 y (neg.f64 (.f64 (*.f64 y x) #s(literal 1 binary64))))
(.f64 y (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))))
(.f64 y (fabs.f64 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))))
(.f64 y (fabs.f64 (.f64 (*.f64 y x) #s(literal 1 binary64))))
(.f64 y (fabs.f64 (.f64 y x)))
(.f64 y (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 y (pow.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 y (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(.f64 y (pow.f64 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(.f64 y (pow.f64 (.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 y (pow.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 y (.f64 (*.f64 y x) #s(literal 1 binary64)))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)))
(.f64 y (.f64 y x))
(.f64 x (neg.f64 (.f64 (*.f64 y y) #s(literal 1 binary64))))
(.f64 x (fabs.f64 (.f64 (*.f64 y y) #s(literal 1 binary64))))
(.f64 x (pow.f64 (.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 (*.f64 y y) #s(literal 1 binary64)))
(.f64 x (.f64 y y))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 y y) x))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(fabs.f64 (.f64 (.f64 y y) x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 y y) x)))
(+.f64 (cosh.f64 (log.f64 (.f64 (.f64 y y) x))) (sinh.f64 (log.f64 (.f64 (.f64 y y) x))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 y y))) x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 y y) x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (pow.f64 (.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x)) x) x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 y y) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) (neg.f64 x))) (neg.f64 x)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) x))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (*.f64 y y) x)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 (pow.f64 (.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x)) x))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 (neg.f64 x)) (.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (neg.f64 x) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (*.f64 (neg.f64 x) #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) (neg.f64 x)))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))

eval277.0ms (3.9%)

Memory: 0.3MiB live, 301.2MiB allocated
Compiler: Compiled 29 159 to 3 365 computations (88.5% saved)

prune21.0ms (0.3%)

Memory

22.0MiB live, 69.1MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	864	7	871
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	866	11	877

Accuracy

100.0%

Counts

877 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
	63.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y) (.f64 (neg.f64 x) x) x) y) y #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) y) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
▶	65.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
▶	62.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
▶	69.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
✓	60.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	16.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	15.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
▶	22.2%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
✓	48.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 497 to 314 computations (36.8% saved)

simplify147.0ms (2.1%)

Memory

-14.5MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
cost-diff	0	(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y)
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x)
cost-diff	0	(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)
cost-diff	0	#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
cost-diff	4	(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
cost-diff	0	#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y)
cost-diff	0	(fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	637
0	79	637
1	154	637
2	522	621
3	2548	621
4	6652	621
0	8472	613

Stop Event

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

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y)
#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
y
x
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)
(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
(.f64 (.f64 (*.f64 y y) x) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x)
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y)
(.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) y)
#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(*.f64 y x)
y
x
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (fabs.f64 (.f64 y x)) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
#s(approx (+ (* (* y y) x) 1) (.f64 (fabs.f64 (.f64 y x)) y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)
(.f64 (fabs.f64 (.f64 y x)) y)
(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
(fabs.f64 (*.f64 y x))
(.f64 (.f64 (*.f64 y y) x) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y x))
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x)
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) (*.f64 y x)) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) (*.f64 y x)) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) (*.f64 y x))
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x))
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize110.0ms (1.6%)

Memory

2.7MiB live, 193.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6490836238727467	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)
accuracy	6.361697219409188	(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
accuracy	6.614127497323389	(.f64 (.f64 y y) x)
accuracy	18.298160887991	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
accuracy	0.7200687506871939	(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
accuracy	6.361697219409188	(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x)
accuracy	18.298160887991	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
accuracy	26.171053678545043	#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	6.614127497323389	(.f64 (.f64 y y) x)
accuracy	20.916486443758437	(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
accuracy	25.229337918491574	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
accuracy	44.90100096012031	#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.11328125	(.f64 (.f64 y x) y)
accuracy	25.229337918491574	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
accuracy	29.28760272893208	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
accuracy	1.6221981939231631	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
accuracy	6.614127497323389	(.f64 (.f64 y y) x)
accuracy	18.298160887991	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
accuracy	22.56016104824854	#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))

Samples

82.0ms

256×

valid

Compiler

Compiled 405 to 33 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 33.0ms (71.1% of total)

ival-add: 6.0ms (12.9% of total)

const: 4.0ms (8.6% of total)

ival-exp: 2.0ms (4.3% of total)

ival-sqrt: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-8.8MiB live, 36.8MiB allocated

Counts

24 → 65

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y)
#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* x (pow y 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/2 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* 1/6 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (pow y 2)))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* y y) x) (* (+ (* 1/2 (* (* y y) x)) 1) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* y y) x) (* (+ (* 1/2 (* (* y y) x)) 1) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* y y) x) (* (+ (* 1/2 (* (* y y) x)) 1) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* y y) x) (* (+ (* 1/2 (* (* y y) x)) 1) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))
2.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) (sqrt (* (* (* y y) x) x)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (sqrt (* (* (* y y) x) x)) y) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (* (* y y) x) (* (+ (* 1/2 (* (* y y) x)) 1) x) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* (+ (* 1/6 (* (* y y) x)) 1/2) x))

simplify305.0ms (4.3%)

Memory

0.4MiB live, 286.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	985
1	799	967
2	3271	943
0	8303	872

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(* x (pow y 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* x (pow y 2)))))
(exp (* x (pow y 2)))
(* 1/6 (* (pow x 3) (pow y 6)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(* 1/6 (* (pow x 3) (pow y 5)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(* x (+ (/ 1 x) (pow y 2)))
(* 1/2 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(* 1/6 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* 1/6 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (pow y 2)))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (* 1/2 (* x (pow y 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x)
(* x (+ y (* x (+ (* 1/6 (* x (pow y 5))) (* 1/2 (pow y 3))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) x)
x
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/6 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 (* x (pow y 2)))))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(exp (* x (pow y 2)))
(pow.f64 (exp.f64 y) (*.f64 y x))
(* 1/6 (* (pow x 3) (pow y 6)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 5)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 5 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (* 1/2 (/ (pow y 3) x))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 5)) (+ (* 1/2 (/ (pow y 3) x)) (/ y (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow x 3) (pow y 4)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* 1/2 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* 1/6 (* (pow x 3) (pow y 2)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) y) y)
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(* 1/6 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 y y) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (neg.f64 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 5)))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 3)) (/ y x)) x)) (* -1/6 (pow y 5)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 y x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 4)))))
(.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ 1 x)) x)) (* -1/6 (pow y 4)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 y) (.f64 y x))
(* -1 (* (pow x 3) (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64) (.f64 y y)) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(* y (+ x (* 1/2 (* (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) y)
(+ x (* 1/2 (* (pow x 2) (pow y 2))))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)
(+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)
(+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x (.f64 y y))) y) y)
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (*.f64 y y))
(* (pow y 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (.f64 y y))
(* -1 (* (pow y 5) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3)))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/6 (pow x 3))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))

rewrite270.0ms (3.8%)

Memory

6.1MiB live, 276.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	530
0	79	510
1	260	502
2	1846	502
0	8764	494

Stop Event

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

Counts

24 → 540

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))
(.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y)
#s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x)
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y)
(fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) x)

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) y)) y) (.f64 (neg.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) y)) y) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) y)) y)))))
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(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64))))
(fma.f64 x (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64)) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 (*.f64 y y) x) #s(literal 1/6 binary64))))

eval141.0ms (2%)

Memory: 5.7MiB live, 114.1MiB allocated
Compiler: Compiled 37 789 to 2 368 computations (93.7% saved)

prune31.0ms (0.4%)

Memory

-13.0MiB live, 33.0MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	495	4	499
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	496	14	510

Accuracy

100.0%

Counts

510 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
	62.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
	63.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y) (.f64 (neg.f64 x) x) x) y) y #s(literal 1 binary64)))
	63.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) y) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
✓	65.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
✓	62.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
	71.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 #s(approx ( (+ (* 1/6 (* (* y y) x)) 1/2) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64))) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
	69.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
✓	60.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	23.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y)))
✓	16.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	15.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	22.2%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
✓	48.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 903 to 358 computations (60.4% saved)

regimes20.0ms (0.3%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 #s(approx ( (+ (* 1/6 (* (* y y) x)) 1/2) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64))) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) y) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y) (.f64 (neg.f64 x) x) x) y) y #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Calls

4 calls:

5.0ms	y
5.0ms	x
4.0ms	(.f64 (.f64 x y) y)
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
100.0%	1	`(.f64 (.f64 x y) y)`
100.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes65.0ms (0.9%)

Memory

-8.4MiB live, 34.6MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 #s(approx ( (+ (* 1/6 (* (* y y) x)) 1/2) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64))) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) y) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y) (.f64 (neg.f64 x) x) x) y) y #s(literal 1 binary64)))

Outputs

#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (*.f64 #s(approx (* (+ (* 1/6 (* (* y y) x)) 1/2) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/6 binary64))) x)) (*.f64 y y) x) y) y #s(literal 1 binary64)))

Calls

4 calls:

51.0ms	x
5.0ms	y
4.0ms	(.f64 (.f64 x y) y)
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
73.9%	2	`(.f64 (.f64 x y) y)`
73.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
71.6%	1	`x`
71.6%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes50.0ms (0.7%)

Memory

-24.8MiB live, 32.5MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64)))

Outputs

#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x)))) y)))

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))

Calls

4 calls:

39.0ms	x
4.0ms	y
3.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.5%	1	`x`
69.5%	1	`y`
71.8%	2	`(.f64 (.f64 x y) y)`
71.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (.f64 y y) #s(literal 1 binary64)))

Outputs

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))

Calls

3 calls:

3.0ms	y
3.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.5%	1	`y`
69.5%	1	`(exp.f64 (.f64 (.f64 x y) y))`
69.5%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes10.0ms (0.1%)

Memory

17.1MiB live, 17.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))

Outputs

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 #s(approx (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))

Calls

4 calls:

3.0ms	y
3.0ms	x
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.0%	1	`(.f64 (.f64 x y) y)`
69.0%	1	`x`
69.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
69.0%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
67.1%	2	`(.f64 (.f64 x y) y)`
62.0%	1	`x`
67.1%	2	`(exp.f64 (.f64 (.f64 x y) y))`
62.0%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes113.0ms (1.6%)

Memory

-32.2MiB live, 13.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))

Calls

3 calls:

108.0ms	(exp.f64 (.f64 (.f64 x y) y))
2.0ms	y
2.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
62.0%	1	`y`
62.0%	1	`(.f64 (.f64 x y) y)`
62.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
60.6%	1	`(.f64 (.f64 x y) y)`
60.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
60.6%	1	`x`
60.6%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y x) y)))

#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (*.f64 (*.f64 y y) x)))

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

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
62.0%	2	`(.f64 (.f64 x y) y)`
62.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
53.3%	2	`x`
59.9%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes41.0ms (0.6%)

Memory

-43.5MiB live, 3.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	(exp.f64 (.f64 (.f64 x y) y))
1.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
60.5%	2	`(.f64 (.f64 x y) y)`
60.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`y`
48.0%	1	`(.f64 (.f64 x y) y)`
48.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.999982813425625

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4675025823586084e+20	-301790580.53836447

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify156.0ms (2.2%)

Memory

25.4MiB live, 70.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	421
1	129	421
2	374	421
3	1895	421
4	5108	421

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 #s(approx ( (+ (* 1/6 (* (* y y) x)) 1/2) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64))) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 #s(approx ( (+ (* 1/6 (* (* y y) x)) 1/2) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/6 binary64))) x)) (*.f64 y y) x) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) #s(approx (* (+ (* 1/2 (* (* y y) x)) 1) x) (.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64)))) y) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness1.7s (24.8%)

Memory

-2.5MiB live, 1 392.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	13	30
1	48	30
2	257	30
3	2467	30
0	8770	30
0	28	203
0	45	185
1	168	184
2	1131	179
0	8601	175
0	216	985
1	799	967
2	3271	943
0	8303	872
0	215	910
1	769	892
2	3250	870
0	8457	805
0	49	530
0	79	510
1	260	502
2	1846	502
0	8764	494
0	54	127
1	176	127
2	627	127
3	2781	125
4	6828	125
0	8074	112
0	44	98
1	146	98
2	540	98
3	2319	98
4	6123	98
0	8176	87

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

Compiler

Compiled 622 to 271 computations (56.4% saved)

preprocess98.0ms (1.4%)

Memory: -20.5MiB live, 117.0MiB allocated
Remove: (abs y)
Compiler: Compiled 878 to 198 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample808.0ms (11.5%)

explain56.0ms (0.8%)

preprocess131.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify149.0ms (2.1%)

localize18.0ms (0.3%)

series6.0ms (0.1%)

simplify175.0ms (2.5%)

rewrite216.0ms (3.1%)

eval33.0ms (0.5%)

prune13.0ms (0.2%)

simplify170.0ms (2.4%)

localize32.0ms (0.5%)

series3.0ms (0%)

simplify264.0ms (3.7%)

rewrite144.0ms (2%)

eval128.0ms (1.8%)

prune4.0ms (0.1%)

simplify222.0ms (3.2%)

localize98.0ms (1.4%)

series151.0ms (2.1%)

simplify349.0ms (5%)

rewrite217.0ms (3.1%)

eval277.0ms (3.9%)

prune21.0ms (0.3%)

simplify147.0ms (2.1%)

localize110.0ms (1.6%)

series15.0ms (0.2%)

simplify305.0ms (4.3%)

rewrite270.0ms (3.8%)

eval141.0ms (2%)

prune31.0ms (0.4%)

regimes20.0ms (0.3%)

regimes65.0ms (0.9%)

regimes50.0ms (0.7%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes113.0ms (1.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes41.0ms (0.6%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify156.0ms (2.2%)

soundness1.7s (24.8%)

preprocess98.0ms (1.4%)

end0.0ms (0%)

Profiling