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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample564.0ms (8.8%)

Memory

32.6MiB live, 983.8MiB allocated

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 114.0ms (59.8% of total)

ival-exp: 66.0ms (34.6% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

explain80.0ms (1.2%)

Memory

-23.2MiB live, 98.5MiB 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

36.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (61.1% of total)

ival-exp: 4.0ms (34.9% of total)

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

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

preprocess148.0ms (2.3%)

Memory

10.2MiB live, 164.3MiB 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: 0.2MiB live, 0.2MiB 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)

simplify135.0ms (2.1%)

Memory

-13.4MiB live, 170.5MiB 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

localize33.0ms (0.5%)

Memory

-18.7MiB live, 20.5MiB 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	0.13671875	(.f64 (.f64 x y) y)

Samples

29.0ms

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 (55.6% of total)

ival-exp: 2.0ms (37% of total)

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

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

series6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB 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	@	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	x	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y))
1.0ms	y	@	0	((exp (* (* x y) y)) (* (* x y) y) (* x y))

simplify163.0ms (2.5%)

Memory

19.9MiB live, 213.0MiB 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))

rewrite270.0ms (4.2%)

Memory

-35.9MiB live, 371.0MiB 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))

eval36.0ms (0.6%)

Memory: 25.5MiB live, 100.0MiB allocated
Compiler: Compiled 7 330 to 845 computations (88.5% saved)

prune4.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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))
▶	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	51.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify174.0ms (2.7%)

Memory

-6.4MiB live, 192.6MiB 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)

localize41.0ms (0.6%)

Memory

3.1MiB live, 41.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	5.203103940304869	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	24.60997353597341	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	31.34203336547591	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 24.0ms (85.8% of total)

ival-exp: 2.0ms (7.2% of total)

ival-add: 1.0ms (3.6% 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

6.7MiB live, 6.7MiB 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))
1.0ms	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))

simplify183.0ms (2.9%)

Memory

6.8MiB live, 200.0MiB 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))

rewrite173.0ms (2.7%)

Memory

-20.6MiB live, 225.1MiB 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))

eval57.0ms (0.9%)

Memory: -18.2MiB live, 18.3MiB allocated
Compiler: Compiled 5 083 to 587 computations (88.5% saved)

prune6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	147	8	155

Accuracy

100.0%

Counts

155 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	61.9%	#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)))
✓	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	61.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	51.6%	#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)))
▶	16.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	64.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
✓	51.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 245 to 157 computations (35.9% saved)

simplify258.0ms (4%)

Memory

27.3MiB live, 97.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 (.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 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 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)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	321
0	59	301
1	114	301
2	383	301
3	2097	301
4	6444	301
0	8478	301

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 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
x
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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 (*.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 (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 (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 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
#s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* y y) x) 1) (.f64 (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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 (*.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 (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 (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)

localize164.0ms (2.6%)

Memory

-4.3MiB live, 81.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.3972354294367828	#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	2.3938475253150058	(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	4.155026931414933	(.f64 (.f64 y y) x)
accuracy	4.3221841783141475	(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	0.0703125	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
accuracy	4.155026931414933	(.f64 (.f64 y y) x)
accuracy	6.844633340398491	#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	8.526453093069165	(sqrt.f64 (.f64 (.f64 y y) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.01953125	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	6.844633340398491	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	4.155026931414933	(.f64 (.f64 y y) x)
accuracy	6.844633340398491	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
accuracy	13.044975247361378	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
accuracy	2.1631030614819275	(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
accuracy	6.844633340398491	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))

Samples

76.0ms	146×	0	invalid
39.0ms	110×	0	valid

Compiler

Compiled 237 to 34 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-neg: 44.0ms (52.5% of total)

ival-mult: 22.0ms (26.3% of total)

ival-add: 7.0ms (8.4% of total)

const: 4.0ms (4.8% of total)

ival-div: 2.0ms (2.4% of total)

ival-exp: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (1%)

Memory

-13.1MiB live, 24.8MiB allocated

Counts

19 → 61

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
#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)
#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)
(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 (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))))
(* -1 x)
(* x (pow y 2))
(* x y)
(* (sqrt 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
47.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* 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) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
4.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* 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) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
3.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* 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) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
3.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* 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) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))
2.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* 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) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)))

simplify284.0ms (4.4%)

Memory

7.4MiB live, 122.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	912
1	770	894
2	3246	872
0	8541	807

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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

rewrite193.0ms (3%)

Memory

-6.1MiB live, 281.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	261
0	59	241
1	201	240
2	1333	232
0	8528	228

Stop Event

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

Counts

19 → 514

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
#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)
#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)
(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 (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 (.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))))
#s(approx (+ (* (* y y) x) 1) (.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
(.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(.f64 (neg.f64 x) (-.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64))))
(.f64 x (neg.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (fma.f64 y y (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64))) (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal -1 binary64))) x))
(neg.f64 x)
#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 (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) (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 (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 (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 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (*.f64 y y) 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) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 y x) (*.f64 y #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x 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 x x)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (.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 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.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 (neg.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 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 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 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 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (.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 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 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))))))
(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 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 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x)) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(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 (.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 (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 (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 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 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 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 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 (.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 (neg.f64 (*.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 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 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 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 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)))

eval157.0ms (2.5%)

Memory: 10.4MiB live, 203.1MiB allocated
Compiler: Compiled 27 566 to 3 071 computations (88.9% saved)

prune21.0ms (0.3%)

Memory

15.0MiB live, 52.5MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	765	7	772
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	768	12	780

Accuracy

100.0%

Counts

780 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
	71.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64)))
	34.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
▶	60.8%	#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)))
▶	71.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
▶	69.7%	#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)))
✓	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓	16.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	13.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
▶	19.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
✓	64.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
✓	51.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 501 to 314 computations (37.3% saved)

simplify177.0ms (2.8%)

Memory

-0.8MiB live, 115.7MiB 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 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	#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)))
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	(fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
cost-diff	0	(.f64 (fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y)
cost-diff	0	(fma.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	574
0	80	570
1	158	570
2	524	554
3	2702	554
4	7917	554
0	8033	550

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (3.2%)

Memory

-39.6MiB live, 217.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7322301533187997	(.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)
accuracy	8.730042164657545	(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	19.12715230030497	#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	24.502770638989904	#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	1.709460424410297	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
accuracy	8.423744906417543	(.f64 (.f64 y y) x)
accuracy	19.12715230030497	#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	23.90866681545233	#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))
accuracy	8.423744906417543	(.f64 (.f64 y y) x)
accuracy	16.824150541447846	(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
accuracy	24.60997353597341	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
accuracy	48.63361654135793	#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.13671875	(.f64 (.f64 y x) y)
accuracy	24.60997353597341	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
accuracy	31.295990854924213	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
accuracy	2.8143624137438765	(fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x)
accuracy	6.792299972377586	(.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y))
accuracy	8.423744906417543	(.f64 (.f64 y y) x)
accuracy	19.12715230030497	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))

Samples

134.0ms

256×

valid

Compiler

Compiled 407 to 39 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 75.0ms (81.8% of total)

ival-add: 7.0ms (7.6% of total)

const: 4.0ms (4.4% of total)

ival-exp: 2.0ms (2.2% of total)

ival-sqrt: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

24 → 65

Calls

Call 1

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

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

simplify307.0ms (4.8%)

Memory

0.4MiB live, 233.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1003
1	804	985
2	3277	961
0	8280	890

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

rewrite250.0ms (3.9%)

Memory

-19.4MiB live, 214.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	482
0	80	458
1	267	450
2	1749	450
0	8516	438

Stop Event

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

Counts

24 → 558

Calls

Call 1

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

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

eval106.0ms (1.7%)

Memory: 31.1MiB live, 117.6MiB allocated
Compiler: Compiled 34 836 to 2 409 computations (93.1% saved)

prune50.0ms (0.8%)

Memory

-6.5MiB live, 30.6MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	515	5	520
Fresh	1	1	2
Picked	1	4	5
Done	0	5	5
Total	517	15	532

Accuracy

100.0%

Counts

532 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
	71.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) y) y #s(literal 1 binary64)))
	34.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 1/2 binary64))) (*.f64 y y) x) y) y #s(literal 1 binary64)))
	61.2%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 #s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y x) y) y #s(literal 1 binary64)))
✓	60.8%	#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)))
✓	71.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64)))
	69.3%	#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)))
	69.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y 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(literal 1 binary64)))
✓	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
	21.0%	#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)))
✓	16.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	13.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	19.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
✓	64.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
✓	51.0%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 938 to 374 computations (60.1% saved)

regimes27.0ms (0.4%)

Memory

-7.9MiB live, 30.5MiB allocated

Counts

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

9.0ms	(exp.f64 (.f64 (.f64 x y) y))
6.0ms	y
6.0ms	x
5.0ms	(.f64 (.f64 x y) y)

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes113.0ms (1.8%)

Memory

-15.6MiB live, 33.2MiB allocated

Counts

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

Calls

4 calls:

97.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 x y) y)
4.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
71.5%	1	`x`
73.1%	2	`y`
77.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
77.0%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.1%	2	`(.f64 (.f64 x y) y)`
75.1%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes46.0ms (0.7%)

Memory

-10.2MiB live, 26.9MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

35.0ms	y
4.0ms	x
3.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.7%	1	`x`
69.7%	1	`y`
69.7%	1	`(.f64 (.f64 x y) y)`
69.7%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes23.0ms (0.4%)

Memory

-8.7MiB live, 30.2MiB allocated

Counts

8 → 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 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) 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)) (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:

15.0ms	x
3.0ms	y
3.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.3%	1	`x`
69.3%	1	`(.f64 (.f64 x y) y)`
69.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
69.3%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

7 → 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 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))
#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:

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
67.4%	2	`(.f64 (.f64 x y) y)`
64.8%	1	`x`
67.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
64.8%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

6 → 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 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`y`
64.8%	1	`(.f64 (.f64 x y) y)`
64.8%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes97.0ms (1.5%)

Memory

-25.4MiB live, 13.6MiB allocated

Counts

4 → 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)))

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 (.f64 y y) x)))

Calls

4 calls:

91.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
64.9%	2	`(.f64 (.f64 x y) y)`
61.5%	1	`x`
64.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
64.8%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
64.8%	2	`(.f64 (.f64 x y) y)`
64.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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

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
52.7%	2	`x`
60.8%	2	`y`
61.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
61.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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	(.f64 (.f64 x y) y)
1.0ms	x
1.0ms	y
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`y`
51.0%	1	`(exp.f64 (.f64 (.f64 x y) y))`
51.0%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982784723083539

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982784723083539

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	1.0	+inf

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	1.0	+inf

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	2.772638376816939e-20	97205611189.25687

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.772638376816939e-20	97205611189.25687

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify83.0ms (1.3%)

Memory

-14.3MiB live, 69.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	424
1	127	424
2	374	424
3	1892	424
4	5103	424

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 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))))
(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 y 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(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y 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(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)))
(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 (.f64 y y) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2076918743413931/41538374868278621028243970633760768 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 (.f64 (.f64 x y) y) #s(literal 2076918743413931/41538374868278621028243970633760768 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 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) y) y)) x) y) y #s(literal 1 binary64))))
(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 y 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(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y 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(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)))
(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 (.f64 y y) x))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2076918743413931/41538374868278621028243970633760768 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 (.f64 (.f64 x y) y) #s(literal 2076918743413931/41538374868278621028243970633760768 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))

soundness1.5s (23.4%)

Memory

24.9MiB live, 881.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	482
0	80	458
1	267	450
2	1749	450
0	8516	438
0	10	30
0	13	30
1	48	30
2	257	30
3	2467	30
0	8770	30
0	54	127
1	176	127
2	627	127
3	2781	125
4	6828	125
0	8074	112
0	36	261
0	59	241
1	201	240
2	1333	232
0	8528	228
0	44	98
1	146	98
2	540	98
3	2319	98
4	6123	98
0	8176	87
0	216	912
1	770	894
2	3246	872
0	8541	807
0	218	1003
1	804	985
2	3277	961
0	8280	890

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter 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 744 to 340 computations (54.3% saved)

preprocess140.0ms (2.2%)

Memory: -3.8MiB live, 159.5MiB allocated
Remove: (abs y)
Compiler: Compiled 884 to 196 computations (77.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample564.0ms (8.8%)

explain80.0ms (1.2%)

preprocess148.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify135.0ms (2.1%)

localize33.0ms (0.5%)

series6.0ms (0.1%)

simplify163.0ms (2.5%)

rewrite270.0ms (4.2%)

eval36.0ms (0.6%)

prune4.0ms (0.1%)

simplify174.0ms (2.7%)

localize41.0ms (0.6%)

series3.0ms (0%)

simplify183.0ms (2.9%)

rewrite173.0ms (2.7%)

eval57.0ms (0.9%)

prune6.0ms (0.1%)

simplify258.0ms (4%)

localize164.0ms (2.6%)

series62.0ms (1%)

simplify284.0ms (4.4%)

rewrite193.0ms (3%)

eval157.0ms (2.5%)

prune21.0ms (0.3%)

simplify177.0ms (2.8%)

localize207.0ms (3.2%)

series16.0ms (0.3%)

simplify307.0ms (4.8%)

rewrite250.0ms (3.9%)

eval106.0ms (1.7%)

prune50.0ms (0.8%)

regimes27.0ms (0.4%)

regimes113.0ms (1.8%)

regimes8.0ms (0.1%)

regimes46.0ms (0.7%)

regimes23.0ms (0.4%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes97.0ms (1.5%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify83.0ms (1.3%)

soundness1.5s (23.4%)

preprocess140.0ms (2.2%)

end0.0ms (0%)

Profiling