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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample684.0ms (10.7%)

Memory

74.7MiB live, 1 234.9MiB allocated; 178ms collecting garbage

Samples

401.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 125.0ms (62.9% of total)

ival-exp: 63.0ms (31.7% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain162.0ms (2.5%)

Memory

-10.4MiB live, 124.4MiB allocated; 93ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
1	(1.0832915858688975e-191 6.879446302185414e+96)	-	`(exp.f64 (.f64 (.f64 x y) y))`
0	-	-	`y`
0	-	-	`(.f64 (.f64 x y) y)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (.f64 (.f64 x y) y))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

52.0ms

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 (62% of total)

ival-exp: 4.0ms (35.4% of total)

ival-true: 1.0ms (8.9% of total)

adjust: 0.0ms (0% of total)

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

preprocess227.0ms (3.6%)

Memory

-3.6MiB live, 280.1MiB allocated; 130ms collecting garbage

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: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

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)

simplify158.0ms (2.5%)

Memory

0.7MiB live, 193.1MiB allocated; 19ms collecting garbage

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

localize46.0ms (0.7%)

Memory

-0.5MiB live, 51.4MiB allocated; 5ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.015625	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.12890625	(.f64 (.f64 x y) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (54.9% of total)

ival-exp: 2.0ms (36.6% of total)

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

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))

simplify158.0ms (2.5%)

Memory

-5.7MiB live, 220.7MiB allocated; 32ms collecting garbage

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))

rewrite292.0ms (4.6%)

Memory

10.0MiB live, 347.5MiB allocated; 142ms collecting garbage

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)))
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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))

eval136.0ms (2.1%)

Memory: -20.5MiB live, 69.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 7 330 to 845 computations (88.5% saved)

prune5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

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))
▶	64.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	48.7%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify152.0ms (2.4%)

Memory

14.7MiB live, 111.7MiB allocated; 26ms collecting garbage

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)

localize66.0ms (1%)

Memory

-20.7MiB live, 24.3MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	4.739604429214359	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	25.96549734226886	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	32.81686559620037	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

17.0ms

256×

valid

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61.5% of total)

ival-exp: 2.0ms (20.5% of total)

ival-add: 1.0ms (10.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

4 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify237.0ms (3.7%)

Memory

21.1MiB live, 165.5MiB allocated; 37ms collecting garbage

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))

rewrite342.0ms (5.4%)

Memory

-13.6MiB live, 290.7MiB allocated; 211ms collecting garbage

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) (neg.f64 x) #s(literal 1 binary64))
(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))

eval29.0ms (0.4%)

Memory: -42.9MiB live, 59.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 5 083 to 587 computations (88.5% saved)

prune6.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

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))
▶	64.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
✓	64.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	59.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	53.0%	#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)))
▶	18.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	64.4%	#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)))))
✓	48.7%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 245 to 157 computations (35.9% saved)

simplify204.0ms (3.2%)

Memory

30.3MiB live, 258.4MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	(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)))))
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	(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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	321
0	59	301
1	114	301
2	383	301
3	2119	301
4	6471	301
0	8501	301

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 (.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)
#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)) #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)) (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)

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

localize131.0ms (2.1%)

Memory

-16.5MiB live, 125.3MiB allocated; 27ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.11166000976844201	(fma.f64 (sqrt.f64 (.f64 (.f64 y y) x)) (sqrt.f64 (.f64 (.f64 y y) x)) #s(literal 1 binary64))
accuracy	5.657881792850843	(.f64 (.f64 y y) x)
accuracy	10.096552455713061	(sqrt.f64 (.f64 (.f64 y y) x))
accuracy	12.852656153853587	#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	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	0.0078125	(-.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x))
accuracy	3.348795311380011	(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) x)))
accuracy	12.852656153853587	#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)))))
accuracy	0.0	(*.f64 y x)
accuracy	0.06640625	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	12.852656153853587	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	5.657881792850843	(.f64 (.f64 y y) x)
accuracy	12.852656153853587	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
accuracy	13.913222301783197	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))
accuracy	3.0297802503761897	(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)))
accuracy	3.836397804571552	#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	5.657881792850843	(.f64 (.f64 y y) x)
accuracy	5.857996942255604	(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)

Samples

78.0ms	118×	0	invalid
32.0ms	138×	0	valid

Compiler

Compiled 237 to 34 computations (85.7% saved)

Precisions

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

ival-neg: 43.0ms (46.9% of total)

ival-mult: 21.0ms (22.9% of total)

ival-add: 17.0ms (18.5% of total)

const: 3.0ms (3.3% of total)

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

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

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

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series23.0ms (0.4%)

Memory

5.8MiB live, 50.8MiB allocated; 8ms collecting garbage

Counts

20 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	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 y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (- (* (neg y) y) (/ 1 x)))
4.0ms	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 y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (- (* (neg y) y) (/ 1 x)))
3.0ms	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 y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (- (* (neg y) y) (/ 1 x)))
3.0ms	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 y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (- (* (neg y) y) (/ 1 x)))
2.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) y) 1) (* (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) y) (+ (* (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y y) x) (* y y) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (neg x) (- (* (neg y) y) (/ 1 x))) (neg x) (+ (* (sqrt (* (* y y) x)) (sqrt (* (* y y) x))) 1) (exp (* (* x y) y)) (sqrt (* (* y y) x)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (- (* (neg y) y) (/ 1 x)))

simplify313.0ms (4.9%)

Memory

2.4MiB live, 383.6MiB allocated; 72ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	951
1	795	933
2	3327	907
0	8231	841

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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

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

rewrite235.0ms (3.7%)

Memory

27.6MiB live, 302.0MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	269
0	59	249
1	201	248
2	1333	239
0	8528	235

Stop Event

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

Counts

20 → 530

Calls

Call 1

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

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

eval180.0ms (2.8%)

Memory: -26.3MiB live, 365.5MiB allocated; 60ms collecting garbage
Compiler: Compiled 28 709 to 3 210 computations (88.8% saved)

prune28.0ms (0.4%)

Memory

-17.4MiB live, 85.9MiB allocated; 8ms collecting garbage

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	782	10	792
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	784	16	800

Accuracy

100.0%

Counts

800 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	64.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (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))) (.f64 y y) x) y) y #s(literal 1 binary64)))
	75.1%	#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)))
	47.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))) y) #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 (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)))
	41.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx ( (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) (.f64 y y)))) (.f64 y y))) (.f64 y y) x) y) y #s(literal 1 binary64)))
▶	63.9%	#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)))
▶	75.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) x) y) y #s(literal 1 binary64)))
	73.1%	#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)))
✓	64.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓	18.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	13.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
▶	25.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
✓	64.4%	#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)))))
	48.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) #s(approx (- ( (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
✓	48.7%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 754 to 459 computations (39.1% saved)

simplify166.0ms (2.6%)

Memory

30.0MiB live, 122.4MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	547
0	80	522
1	172	522
2	551	506
3	2859	506
0	8113	502

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

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

localize258.0ms (4.1%)

Memory

-29.6MiB live, 211.0MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.49386750182205	(.f64 (.f64 y y) x)
accuracy	9.642323460003025	(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)))
accuracy	10.32079170586838	(fma.f64 (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))) (*.f64 y y) x)
accuracy	16.889378115957733	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (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))) (.f64 y y) x) y) y #s(literal 1 binary64)))
accuracy	0.9615824716564968	(.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	10.32079170586838	(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	16.889378115957733	#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	23.593193424678415	#s(approx (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	8.49386750182205	(.f64 (.f64 y y) x)
accuracy	18.490842017528433	(sqrt.f64 (.f64 (.f64 (*.f64 y y) x) x))
accuracy	25.96549734226886	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
accuracy	42.640504129064105	#s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.12890625	(.f64 (.f64 y x) y)
accuracy	25.96549734226886	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
accuracy	29.80317054567283	#s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))
accuracy	2.8460460484378816	(fma.f64 x (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y)) x)
accuracy	5.217435086994235	(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (*.f64 y y))
accuracy	8.49386750182205	(.f64 (.f64 y y) x)
accuracy	16.889378115957733	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) x) y) y #s(literal 1 binary64)))

Samples

177.0ms

256×

valid

Compiler

Compiled 417 to 46 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 91.0ms (58.7% of total)

ival-add: 56.0ms (36.1% of total)

const: 4.0ms (2.6% of total)

ival-exp: 2.0ms (1.3% of total)

ival-sqrt: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series20.0ms (0.3%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Counts

24 → 62

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* 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) (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (exp (* (* x y) y)) (+ (* (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) y) 1) (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) (* (* y y) x) (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x))
3.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* 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) (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (exp (* (* x y) y)) (+ (* (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) y) 1) (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) (* (* y y) x) (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x))
3.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* 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) (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (exp (* (* x y) y)) (+ (* (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) y) 1) (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) (* (* y y) x) (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x))
3.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* 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) (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (exp (* (* x y) y)) (+ (* (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) y) 1) (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) (* (* y y) x) (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x))
2.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) y) 1) (* (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y))) x) y) (+ (* x (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* 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) (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (exp (* (* x y) y)) (+ (* (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) y) 1) (* (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x) y) (* (* y y) x) (* (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y)) (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (+ (* (+ (* (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (* y y)) x))

simplify250.0ms (3.9%)

Memory

2.7MiB live, 240.1MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	968
1	787	950
2	3242	926
0	8515	857

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

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

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

rewrite315.0ms (4.9%)

Memory

-27.7MiB live, 343.0MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	461
0	80	416
1	299	408
2	1747	408
0	8772	396

Stop Event

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

Counts

24 → 787

Calls

Call 1

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

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

eval89.0ms (1.4%)

Memory: 26.6MiB live, 213.9MiB allocated; 25ms collecting garbage
Compiler: Compiled 32 635 to 2 937 computations (91% saved)

prune27.0ms (0.4%)

Memory

-10.2MiB live, 83.5MiB allocated; 7ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	573	7	580
Fresh	3	2	5
Picked	2	3	5
Done	0	6	6
Total	578	18	596

Accuracy

100.0%

Counts

596 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
	64.7%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 y x)) y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) y) y #s(literal 1 binary64)))
	47.4%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))) y) #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 (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)))
	64.7%	#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)))
	41.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* (* y y) x) (* 1/6 (* x x))) (* 1/2 (* x x))) (.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))) (.f64 y y) x) y) y #s(literal 1 binary64)))
	75.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (.f64 (.f64 y y) x)) x) y) y #s(literal 1 binary64)))
✓	75.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (.f64 y y)) x) y) y #s(literal 1 binary64)))
	75.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (.f64 y y)) x) x) y) y #s(literal 1 binary64)))
	73.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 x #s(approx ( (* (+ (* (* (* y y) x) 1/6) 1/2) x) (* y y)) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) x) y) y #s(literal 1 binary64)))
✓	64.5%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
	23.5%	#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)))
✓	18.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	13.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	25.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) x) x)) y)))
✓	64.4%	#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)))))
	48.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (neg.f64 x) #s(approx (- ( (neg y) y) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
✓	48.7%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 1 187 to 464 computations (60.9% saved)

regimes137.0ms (2.2%)

Memory

-18.0MiB live, 108.7MiB allocated; 65ms collecting garbage

Counts

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

116.0ms	(exp.f64 (.f64 (.f64 x y) y))
7.0ms	y
7.0ms	x
6.0ms	(.f64 (.f64 x y) y)

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes44.0ms (0.7%)

Memory

6.9MiB live, 98.3MiB allocated; 5ms collecting garbage

Counts

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

Calls

4 calls:

23.0ms	x
8.0ms	(.f64 (.f64 x y) y)
7.0ms	y
5.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
78.9%	2	`(.f64 (.f64 x y) y)`
78.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
75.1%	1	`x`
75.1%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-28.1MiB live, 21.5MiB allocated; 10ms collecting garbage

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
76.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes15.0ms (0.2%)

Memory

35.3MiB live, 35.3MiB allocated; 0ms collecting garbage

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-17.2MiB live, 28.3MiB allocated; 3ms collecting garbage

Counts

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

4.0ms	x
3.0ms	y
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
70.4%	2	`(.f64 (.f64 x y) y)`
70.4%	2	`(exp.f64 (.f64 (.f64 x y) y))`
66.3%	2	`x`
64.5%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

4 calls:

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

Results

Accuracy	Segments	Branch
64.5%	1	`y`
64.5%	1	`x`
64.5%	1	`(.f64 (.f64 x y) y)`
64.5%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-20.3MiB live, 23.2MiB allocated; 4ms collecting garbage

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

Calls

4 calls:

4.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
64.6%	2	`(.f64 (.f64 x y) y)`
64.6%	2	`(exp.f64 (.f64 (.f64 x y) y))`
59.4%	1	`x`
64.5%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
48.7%	1	`x`
59.0%	2	`y`
59.5%	2	`(.f64 (.f64 x y) y)`
59.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.7%	1	`x`
48.7%	1	`y`
48.7%	1	`(.f64 (.f64 x y) y)`
48.7%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0880419985671605e+22	-44225123784328176000.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.0880419985671605e+22	-44225123784328176000.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001137173868331	4.541014254365008e+222

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001137173868331	4.541014254365008e+222

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001137173868331	4.541014254365008e+222

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify74.0ms (1.2%)

Memory

-8.3MiB live, 90.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	324
1	109	324
2	321	324
3	1678	324
4	4866	324

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -40000000000000000000000 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 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (.f64 y y)) x) x) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -40000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (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)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -40000000000000000000000 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 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) #s(literal 1/2 binary64)) (.f64 y y)) x) x) y) y #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -40000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64))))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) (+ (* 1/6 (* (* y y) x)) 1/2)) (* y y)) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) y) y #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (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)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

derivations959.0ms (15.1%)

Memory

24.0MiB live, 916.5MiB allocated; 170ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	951
1	795	933
2	3327	907
0	8231	841
0	44	98
1	146	98
2	540	98
3	2319	98
4	6123	98
0	8176	87
0	36	269
0	59	249
1	201	248
2	1333	239
0	8528	235
0	54	127
1	176	127
2	627	127
3	2781	125
4	6828	125
0	8074	112
0	47	461
0	80	416
1	299	408
2	1747	408
0	8772	396

Stop Event

1×	fuel
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
1×	node limit

Compiler

Compiled 324 to 69 computations (78.7% saved)

preprocess140.0ms (2.2%)

Memory: -15.6MiB live, 80.8MiB allocated; 22ms collecting garbage
Remove: (abs y)
Compiler: Compiled 684 to 168 computations (75.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample684.0ms (10.7%)

explain162.0ms (2.5%)

preprocess227.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (2.5%)

localize46.0ms (0.7%)

series6.0ms (0.1%)

simplify158.0ms (2.5%)

rewrite292.0ms (4.6%)

eval136.0ms (2.1%)

prune5.0ms (0.1%)

simplify152.0ms (2.4%)

localize66.0ms (1%)

series3.0ms (0%)

simplify237.0ms (3.7%)

rewrite342.0ms (5.4%)

eval29.0ms (0.4%)

prune6.0ms (0.1%)

simplify204.0ms (3.2%)

localize131.0ms (2.1%)

series23.0ms (0.4%)

simplify313.0ms (4.9%)

rewrite235.0ms (3.7%)

eval180.0ms (2.8%)

prune28.0ms (0.4%)

simplify166.0ms (2.6%)

localize258.0ms (4.1%)

series20.0ms (0.3%)

simplify250.0ms (3.9%)

rewrite315.0ms (4.9%)

eval89.0ms (1.4%)

prune27.0ms (0.4%)

regimes137.0ms (2.2%)

regimes44.0ms (0.7%)

regimes13.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify74.0ms (1.2%)

derivations959.0ms (15.1%)

preprocess140.0ms (2.2%)

end0.0ms (0%)

Profiling