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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample649.0ms (10.8%)

Memory

27.2MiB live, 859.1MiB allocated

Samples

434.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 135.0ms (65.1% of total)

ival-exp: 64.0ms (30.8% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain65.0ms (1.1%)

Memory

-26.7MiB live, 135.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

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

ival-mult: 7.0ms (63.9% of total)

ival-exp: 4.0ms (36.5% of total)

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

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

preprocess149.0ms (2.5%)

Memory

16.5MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify105.0ms (1.7%)

Memory

16.0MiB live, 127.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize42.0ms (0.7%)

Memory

-6.4MiB live, 41.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.010097509768442016	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.12890625	(.f64 (.f64 x y) y)

Samples

37.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 3.0ms (56% of total)

ival-exp: 2.0ms (37.3% of total)

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

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

series8.0ms (0.1%)

Memory

-23.7MiB live, 15.0MiB allocated

Counts

3 → 9

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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))

simplify288.0ms (4.8%)

Memory

-14.9MiB live, 167.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

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

rewrite403.0ms (6.7%)

Memory

28.1MiB live, 147.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 276

Calls

Call 1

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

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

eval103.0ms (1.7%)

Memory: 6.2MiB live, 81.3MiB allocated
Compiler: Compiled 7 330 to 845 computations (88.5% saved)

prune6.0ms (0.1%)

Memory

-20.8MiB live, 16.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	4	284

Accuracy

100.0%

Counts

284 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	67.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	48.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 40 to 28 computations (30% saved)

simplify131.0ms (2.2%)

Memory

10.5MiB live, 97.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	(sinh.f64 (.f64 (.f64 y x) y))
cost-diff	7	(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
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	15	69
0	23	62
1	53	62
2	124	62
3	412	62
4	1771	62
5	7079	62
0	8114	62

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)
(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
(sinh.f64 (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
y
x
(cosh.f64 (.f64 (.f64 y x) y))

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)
(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(sinh.f64 (.f64 (.f64 y x) y))
(sinh.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(*.f64 y x)
y
x
(cosh.f64 (.f64 (.f64 y x) y))
(cosh.f64 (.f64 (.f64 y y) x))

localize47.0ms (0.8%)

Memory

-0.8MiB live, 75.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
accuracy	0.0078125	(sinh.f64 (.f64 (.f64 y x) y))
accuracy	0.0078125	(cosh.f64 (.f64 (.f64 y x) y))
accuracy	0.0859375	(.f64 (.f64 y x) y)
accuracy	0.0	(*.f64 y y)
accuracy	1.4290306123313101	(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
accuracy	6.419854223131725	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
accuracy	17.37306314026438	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Samples

25.0ms	191×	0	valid
12.0ms	65×	1	exit

Compiler

Compiled 132 to 31 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (44.1% of total)

ival-cosh: 8.0ms (29.4% of total)

adjust: 2.0ms (7.4% of total)

ival-add: 2.0ms (7.4% of total)

ival-exp: 2.0ms (7.4% of total)

ival-sinh: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory

4.8MiB live, 50.4MiB allocated

Counts

9 → 35

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)
(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
(sinh.f64 (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
(cosh.f64 (.f64 (.f64 y 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))))
(+ 1 (* 1/2 (* x (- (pow y 2) (* -1 (pow y 2))))))
(+ 1 (* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* 1/2 (pow y 4)))))))
(+ 1 (* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))))))))))
(* 1/2 (* x (- (pow y 2) (* -1 (pow y 2)))))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (- (pow y 2) (* -1 (pow y 2))))))
(* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (* x (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))
(* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow y 8)) (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (* 1/6 (pow y 8)))))))) (* 1/2 (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))))))))
(* x (pow y 2))
(* x y)
(+ 1 (* 1/2 (* (pow x 2) (pow y 4))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))) (* 1/2 (pow y 4)))))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8)))))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(+ (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))))
(* 1/2 (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* 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)
(+ 1 (* 1/2 (* (pow y 2) (- x (* -1 x)))))
(+ 1 (* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))))))
(+ 1 (* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))))))
(* 1/2 (* (pow y 2) (- x (* -1 x))))
(* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- x (* -1 x)))))
(* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))
(+ 1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))
(* (pow y 2) (+ x (/ 1 (pow y 2))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (+ (sinh (* (* y x) y)) (cosh (* (* y x) y))) (sinh (* (* y x) y)) (* (* y x) y) (* y x) (cosh (* (* y x) y)))
3.0ms	x	@	0	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (+ (sinh (* (* y x) y)) (cosh (* (* y x) y))) (sinh (* (* y x) y)) (* (* y x) y) (* y x) (cosh (* (* y x) y)))
3.0ms	y	@	0	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (+ (sinh (* (* y x) y)) (cosh (* (* y x) y))) (sinh (* (* y x) y)) (* (* y x) y) (* y x) (cosh (* (* y x) y)))
3.0ms	y	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (+ (sinh (* (* y x) y)) (cosh (* (* y x) y))) (sinh (* (* y x) y)) (* (* y x) y) (* y x) (cosh (* (* y x) y)))
2.0ms	x	@	inf	((exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) (+ (sinh (* (* y x) y)) (cosh (* (* y x) y))) (sinh (* (* y x) y)) (* (* y x) y) (* y x) (cosh (* (* y x) y)))

simplify258.0ms (4.3%)

Memory

-24.1MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	988
1	1006	822
2	5164	652
0	8465	595

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(+ 1 (* 1/2 (* x (- (pow y 2) (* -1 (pow y 2))))))
(+ 1 (* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* 1/2 (pow y 4)))))))
(+ 1 (* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))))))))))
(* 1/2 (* x (- (pow y 2) (* -1 (pow y 2)))))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (- (pow y 2) (* -1 (pow y 2))))))
(* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (* x (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))
(* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow y 8)) (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (* 1/6 (pow y 8)))))))) (* 1/2 (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))))))))
(* x (pow y 2))
(* x y)
(+ 1 (* 1/2 (* (pow x 2) (pow y 4))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))) (* 1/2 (pow y 4)))))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8)))))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(+ (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))))
(* 1/2 (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* 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)
(+ 1 (* 1/2 (* (pow y 2) (- x (* -1 x)))))
(+ 1 (* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))))))
(+ 1 (* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))))))
(* 1/2 (* (pow y 2) (- x (* -1 x))))
(* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- x (* -1 x)))))
(* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))
(+ 1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))
(* (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))
(+ 1 (* 1/2 (* x (- (pow y 2) (* -1 (pow y 2))))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* 1/2 (pow y 4)))))))
(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 (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* 1/2 (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 y) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64))))) x (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (.f64 y y)) x #s(literal 1 binary64))
(* 1/2 (* x (- (pow y 2) (* -1 (pow y 2)))))
(.f64 (.f64 y y) x)
(* x (+ (* 1/2 (* x (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (- (pow y 2) (* -1 (pow y 2))))))
(.f64 (fma.f64 #s(literal 0 binary64) x (.f64 y y)) x)
(* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (* x (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))) (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) x (*.f64 y y)) x)
(* x (+ (* 1/2 (- (pow y 2) (* -1 (pow y 2)))) (* x (+ (* 1/2 (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow y 8)) (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (* 1/6 (pow y 8)))))))) (* 1/2 (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 6 binary64))) y) y (.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1/4 binary64)))) x (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) y) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) x (*.f64 y y)) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(+ 1 (* 1/2 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))) (* 1/2 (pow y 4)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 y) (pow.f64 y #s(literal 6 binary64)))) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (* x (+ (* -1/2 (* x (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8)))))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/12 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 6 binary64))) y) y (.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -1/2 binary64)))) x (.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 y) (pow.f64 y #s(literal 6 binary64))))) x) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(exp (* x (pow y 2)))
(pow.f64 (exp.f64 y) (*.f64 y x))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ (* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))) (* 1/2 (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2)))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 y) (.f64 y x)) (pow.f64 (exp.f64 (.f64 (neg.f64 x) y)) y)) (pow.f64 (exp.f64 y) (.f64 y x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 y) (.f64 y x))))
(* 1/2 (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(.f64 (-.f64 (pow.f64 (exp.f64 y) (.f64 y x)) (pow.f64 (exp.f64 (*.f64 (neg.f64 x) y)) y)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))))
(.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (neg.f64 x) y)) y) (pow.f64 (exp.f64 y) (*.f64 y x))) #s(literal 1/2 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 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x)) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(+ 1 (* 1/2 (* (pow y 2) (- x (* -1 x)))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 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) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 0 binary64) x (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) y) y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 y y) x) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (* (pow y 2) (- x (* -1 x))))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- x (* -1 x)))))
(.f64 (.f64 (fma.f64 #s(literal 0 binary64) (*.f64 y y) x) y) y)
(* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 0 binary64)) (.f64 y y) x) y) y)
(* (pow y 2) (+ (* 1/2 (- x (* -1 x))) (* (pow y 2) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (.f64 y y))) #s(literal 0 binary64)) (.f64 y y) x) (.f64 y y))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x) y) y (.f64 (.f64 x x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) y) y (.f64 #s(literal 0 binary64) x)) (.f64 y y)) (.f64 x x))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))

rewrite244.0ms (4.1%)

Memory

-1.1MiB live, 238.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	23	56
1	85	56
2	468	56
3	6026	56
0	8071	56

Stop Event

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

Counts

9 → 374

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)
(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
(sinh.f64 (.f64 (.f64 y x) y))
(.f64 (.f64 y x) y)
(*.f64 y x)
(cosh.f64 (.f64 (.f64 y x) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (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 (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 (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 (neg.f64 y) (.f64 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 (neg.f64 y) (.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y) (.f64 y x) #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 y) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (fma.f64 (.f64 y y) x #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 (-.f64 (.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.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 -1 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.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 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #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 3 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) #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 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 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #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 (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
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(-.f64 (log.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 y y) x)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (*.f64 y y) x)))))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64)))) (log.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)))) (log.f64 (.f64 (fma.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64))) (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)))) (log.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)))) (log.f64 (.f64 (-.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (pow.f64 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))))
(-.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (cosh.f64 (.f64 (.f64 y y) x)) (.f64 #s(literal 4 binary64) (sinh.f64 (.f64 (*.f64 y y) x))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) y) x))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))) (log.f64 (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (sinh.f64 (.f64 (.f64 y y) x))) (.f64 #s(literal 4 binary64) (cosh.f64 (.f64 (.f64 y y) x)))))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (*.f64 y y) x)))))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64)) (pow.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 2 binary64))))) (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (cosh.f64 (.f64 (.f64 y y) x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal -3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))))) (log.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (cosh.f64 (.f64 (.f64 y y) x))) (-.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (cosh.f64 (.f64 (.f64 y y) x))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))))) (.f64 (.f64 y y) x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) (/.f64 (.f64 y x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 y) (/.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 y y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 y y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64)))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64)))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64))))) (log.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) x))
(+.f64 (.f64 (.f64 y y) x) (log.f64 (/.f64 (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x))) (-.f64 (sinh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (log.f64 (exp.f64 x)))
(*.f64 y x)
(*.f64 x (log.f64 (exp.f64 y)))
(*.f64 x y)
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 y x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (.f64 y x)) (cosh.f64 (.f64 y x)) (-.f64 (.f64 (sinh.f64 (.f64 y x)) (sinh.f64 (.f64 y x))) (.f64 (cosh.f64 (.f64 y x)) (sinh.f64 (.f64 y x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (*.f64 (neg.f64 x) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 y #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 y #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) #s(literal 1 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (*.f64 y y) x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x)))) (.f64 #s(literal 4 binary64) (sinh.f64 (.f64 (*.f64 y y) x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (exp.f64 y) y) (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) y) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (*.f64 y y) x))) #s(literal -2 binary64))
(/.f64 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)) (sinh.f64 (.f64 (*.f64 y y) x)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 y y) x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))))
(fma.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 y) (.f64 x (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)))
(cosh.f64 (.f64 (.f64 (neg.f64 y) y) x))
(cosh.f64 (.f64 (.f64 y y) x))
(+.f64 (/.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x)) #s(literal 2 binary64)))

eval86.0ms (1.4%)

Memory: 8.3MiB live, 120.2MiB allocated
Compiler: Compiled 18 146 to 1 658 computations (90.9% saved)

prune9.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	519	2	521
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	519	6	525

Accuracy

100.0%

Counts

525 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
▶	47.6%	(.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	65.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	48.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 108 to 58 computations (46.3% saved)

simplify183.0ms (3%)

Memory

-25.0MiB live, 132.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
cost-diff	0	(.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	257
0	48	257
1	107	257
2	317	257
3	1372	257
0	8290	257

Stop Event

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

Calls

Call 1

Inputs
#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)
(.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
(sinh.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 2 binary64)
(pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
(cosh.f64 (.f64 (.f64 y y) x))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)))
(cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))
(/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))
(sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)))

Outputs
#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)
(.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x)))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
(sinh.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 2 binary64)
(pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
(cosh.f64 (.f64 (.f64 y y) x))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64)) (cosh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x))))
(cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)))
(cosh.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 y y) x)))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))
(/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))
(sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)))

localize180.0ms (3%)

Memory

7.8MiB live, 138.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.028601281620653757	(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
accuracy	0.0390625	(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
accuracy	0.0703125	(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
accuracy	3.5506041103298367	(.f64 (.f64 y y) x)
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	0.4742029634224846	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

Samples

72.0ms	68×	0	exit
64.0ms	66×	1	exit
25.0ms	122×	0	valid

Compiler

Compiled 510 to 58 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-sinh: 45.0ms (30.8% of total)

ival-exp: 44.0ms (30.1% of total)

ival-add: 17.0ms (11.6% of total)

ival-mult: 12.0ms (8.2% of total)

ival-pow: 10.0ms (6.8% of total)

ival-cosh: 4.0ms (2.7% of total)

ival-pow2: 4.0ms (2.7% of total)

adjust: 3.0ms (2.1% of total)

ival-div: 3.0ms (2.1% of total)

ival-sub: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series80.0ms (1.3%)

Memory

1.6MiB live, 83.6MiB allocated

Counts

10 → 59

Calls

Call 1

Inputs
#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)
(.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
(.f64 (.f64 y y) x)
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(+ 1 (* 1/4 (* x (- (* 2 (pow y 2)) (* -2 (pow y 2))))))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (+ (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (* x (- (* -1 (- (+ (* -1 (+ (* -1/2 (+ (* -4 (pow y 6)) (* -2 (* (pow y 2) (+ (* -4 (pow y 4)) (* 2 (pow y 4))))))) (* 1/4 (- (* 4/3 (pow y 6)) (+ (* -2 (* (pow y 2) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (+ (* -4/3 (pow y 6)) (* 4 (pow y 6)))))))) (+ (* 1/4 (* (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4)) (- (* 2 (pow y 2)) (* -2 (pow y 2))))) (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (+ (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (* 1/4 (* (+ (* 1/2 (pow y 4)) (pow y 4)) (- (* 2 (pow y 2)) (* -2 (pow y 2))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
(+ 1 (* (pow x 2) (- (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
(+ 1 (* (pow x 2) (- (+ (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (* x (- (* -1 (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
(+ 1 (* (pow x 2) (- (+ (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (* x (- (+ (* -1 (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (* x (- (* -1 (- (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (* 1/4 (pow y 8))))) (+ (* -1 (- (+ (* 1/8 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (* 1/4 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2)))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (+ (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (+ (* 1/4 (pow y 8)) (* 1/2 (pow y 8))))))) (* (+ (* 1/2 (pow y 4)) (pow y 4)) (- (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))) (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
-1
(- (* (pow x 2) (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) 1)
(- (* (pow x 2) (- (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* x (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (pow y 4))) 1)
(- (* (pow x 2) (- (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* x (- (+ (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* x (- (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (* 1/4 (pow y 8)))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (pow y 4))) 1)
(* 1/4 (* (pow x 2) (pow (- (pow y 2) (* -1 (pow y 2))) 2)))
(* (pow x 2) (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* 1/2 (* x (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))))))
(* (pow x 2) (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* x (+ (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))))))))
(* (pow x 2) (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* x (+ (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (+ (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2))))) (* x (+ (* 1/2 (* (- (* 1/24 (pow y 8)) (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (* 1/6 (pow y 8)))))) (- (pow y 2) (* -1 (pow y 2))))) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))))))))))))
(* x (pow y 2))
(* 1/8 (* (pow x 3) (pow (- (pow y 2) (* -1 (pow y 2))) 3)))
(* (pow x 3) (+ (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (* x (+ (* 1/8 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (* 1/4 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2)))))))
(* (pow x 3) (+ (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (* x (+ (* 1/8 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (+ (* 1/4 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (* x (+ (* 1/8 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (+ (* 1/4 (* (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2) (- (pow y 2) (* -1 (pow y 2))))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (- (pow y 2) (* -1 (pow y 2)))))))))))))
(* (pow x 3) (+ (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (* x (+ (* 1/8 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (+ (* 1/4 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (* x (+ (* 1/8 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (+ (* 1/4 (* (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2) (- (pow y 2) (* -1 (pow y 2))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (- (pow y 2) (* -1 (pow y 2))))) (* x (+ (* 1/8 (* (- (* 1/24 (pow y 8)) (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (* 1/6 (pow y 8)))))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (+ (* 1/4 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))))) (* 1/2 (* (+ (* 1/2 (* (- (* 1/24 (pow y 8)) (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/24 (pow y 8)) (* 1/6 (pow y 8)))))) (- (pow y 2) (* -1 (pow y 2))))) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4)))))) (- (pow y 2) (* -1 (pow y 2))))))))))))))))))
(- (* -1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (pow y 4)))) 1)
(- (* (pow x 2) (- (* x (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))) 1)
(- (* (pow x 2) (- (* x (- (+ (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (* x (- (+ (* 1/8 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (* 1/4 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2)))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (+ (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (+ (* 1/4 (pow y 8)) (* 1/2 (pow y 8)))))))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))) 1)
(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
(/ (* (+ (* 1/4 (- (exp (* 2 (* x (pow y 2)))) (/ 1 (exp (* 2 (* x (pow y 2))))))) (* 1/2 (+ (exp (* 2 (* x (pow y 2)))) (/ 1 (exp (* 2 (* x (pow y 2)))))))) (- (* 1/4 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2)) (* 1/4 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2)))) (- (* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3)) (* 1/8 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3))))
(/ (- (* 1/4 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2)) (* 1/4 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2))) (- (* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3)) (* 1/8 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3))))
(- (* 1/4 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2)) (* 1/4 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2)))
(* 1/4 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2))
(* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3))
(- (* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3)) (* 1/8 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3)))
(* -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)))))))
(+ 1 (* 1/4 (* (pow y 2) (- (* 2 x) (* -2 x)))))
(+ 1 (* (pow y 2) (+ (* 1/4 (- (* 2 x) (* -2 x))) (* (pow y 2) (- (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow x 2)) (+ (* -2 (pow x 2)) (* 4 (pow x 2))))) (* 2 (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (pow x 2))) (+ (* 1/2 (pow x 2)) (pow x 2)))))))
(+ 1 (* (pow y 2) (+ (* 1/4 (- (* 2 x) (* -2 x))) (* (pow y 2) (- (+ (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow x 2)) (+ (* -2 (pow x 2)) (* 4 (pow x 2))))) (* 2 (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (pow x 2))) (* (pow y 2) (- (* -1 (- (+ (* -1 (+ (* -1/2 (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))) (* 1/4 (- (* 4/3 (pow x 3)) (+ (* -2 (* x (+ (* -2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -4/3 (pow x 3)) (* 4 (pow x 3)))))))) (+ (* 1/4 (* (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2)) (- (* 2 x) (* -2 x)))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (+ (* -1 (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* 1/4 (* (+ (* 1/2 (pow x 2)) (pow x 2)) (- (* 2 x) (* -2 x)))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))))))
(+ 1 (* (pow y 4) (- (* -1 (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* 1/2 (pow x 2)) (pow x 2)))))
(+ 1 (* (pow y 4) (- (+ (* -1 (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (* (pow y 2) (- (* -1 (- (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* -1 (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))))
(+ 1 (* (pow y 4) (- (+ (* -1 (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (* (pow y 2) (- (+ (* -1 (- (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow y 2) (- (* -1 (- (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (* 1/4 (pow x 4))))) (+ (* -1 (- (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))))) (* (+ (* 1/2 (pow x 2)) (pow x 2)) (- (* -1 (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* 1/2 (pow x 2)) (pow x 2)))))))) (* -1 (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))))
(- (* (pow y 4) (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) 1)
(- (* (pow y 4) (- (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (- (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (pow x 2))) 1)
(- (* (pow y 4) (- (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (- (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (- (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (* 1/4 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (pow x 2))) 1)
(* 1/4 (* (pow y 4) (pow (- x (* -1 x)) 2)))
(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* 1/2 (* (pow y 2) (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))))
(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))))))))
(* 1/8 (* (pow y 6) (pow (- x (* -1 x)) 3)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x))))))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x)))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (+ (* 1/4 (* (- x (* -1 x)) (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (* (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))))))))))))))))
(- (* -1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (- (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(* (pow y 2) (+ x (/ 1 (pow y 2))))

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (pow (sinh (* (* y y) x)) 2) (* (* y y) x) (pow (sinh (* (* y y) x)) 3) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)))
17.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (pow (sinh (* (* y y) x)) 2) (* (* y y) x) (pow (sinh (* (* y y) x)) 3) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)))
14.0ms	y	@	0	((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (pow (sinh (* (* y y) x)) 2) (* (* y y) x) (pow (sinh (* (* y y) x)) 3) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)))
10.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (pow (sinh (* (* y y) x)) 2) (* (* y y) x) (pow (sinh (* (* y y) x)) 3) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)))
8.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (pow (sinh (* (* y y) x)) 2) (* (* y y) x) (pow (sinh (* (* y y) x)) 3) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)))

simplify242.0ms (4%)

Memory

-2.1MiB live, 223.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	585	4656
1	2167	3326
0	10177	3125

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(+ 1 (* 1/4 (* x (- (* 2 (pow y 2)) (* -2 (pow y 2))))))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
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(* 1/4 (* (pow x 2) (pow (- (pow y 2) (* -1 (pow y 2))) 2)))
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(* x (pow y 2))
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(exp (* x (pow y 2)))
(* x (+ (/ 1 x) (pow y 2)))
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(/ (- (* 1/4 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2)) (* 1/4 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2))) (- (* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3)) (* 1/8 (pow (+ (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3))))
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(* 1/4 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 2))
(* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3))
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(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
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(+ 1 (* 1/4 (* (pow y 2) (- (* 2 x) (* -2 x)))))
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(- (* (pow y 4) (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) 1)
(- (* (pow y 4) (- (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (- (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (pow x 2))) 1)
(- (* (pow y 4) (- (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (- (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (- (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (* 1/4 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (pow x 2))) 1)
(* 1/4 (* (pow y 4) (pow (- x (* -1 x)) 2)))
(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* 1/2 (* (pow y 2) (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))
(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))))
(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))))))))
(* 1/8 (* (pow y 6) (pow (- x (* -1 x)) 3)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x))))))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x)))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (+ (* 1/4 (* (- x (* -1 x)) (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (* (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))))))))))))))))
(- (* -1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (- (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(* (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))
(* x y)
(*.f64 y x)
(+ 1 (* 1/4 (* x (- (* 2 (pow y 2)) (* -2 (pow y 2))))))
(fma.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
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(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (+ (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (* x (- (* -1 (- (+ (* -1 (+ (* -1/2 (+ (* -4 (pow y 6)) (* -2 (* (pow y 2) (+ (* -4 (pow y 4)) (* 2 (pow y 4))))))) (* 1/4 (- (* 4/3 (pow y 6)) (+ (* -2 (* (pow y 2) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (+ (* -4/3 (pow y 6)) (* 4 (pow y 6)))))))) (+ (* 1/4 (* (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4)) (- (* 2 (pow y 2)) (* -2 (pow y 2))))) (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (+ (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (* 1/4 (* (+ (* 1/2 (pow y 4)) (pow y 4)) (- (* 2 (pow y 2)) (* -2 (pow y 2))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
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(+ 1 (* (pow x 2) (- (+ (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (* x (- (* -1 (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
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-1
#s(literal -1 binary64)
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(* (pow y 4) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (* (pow y 2) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) x)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) (.f64 y y) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x))) (.f64 y y) (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* 1/8 (* (pow y 6) (pow (- x (* -1 x)) 3)))
(.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 3/8 binary64)) y) y (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x)))) (.f64 y y) (.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 3/8 binary64))) (.f64 y y) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x)))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (+ (* 1/4 (* (- x (* -1 x)) (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (* (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) x)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) x)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64) (.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))) (.f64 y y) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x))))) (.f64 y y) (.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 3/8 binary64))) (.f64 y y) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 y #s(literal 6 binary64)))
(- (* -1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(-.f64 (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow y 4) (- (* (pow y 2) (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -3/2 binary64))) (.f64 y y) (.f64 #s(literal -3/2 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(- (* (pow y 4) (- (* (pow y 2) (- (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (- (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 3/8 binary64)) (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))) #s(literal -3/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)))) (.f64 y y) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -3/2 binary64)))) (.f64 y y) (.f64 #s(literal -3/2 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))

rewrite396.0ms (6.6%)

Memory

22.4MiB live, 218.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	48	167
1	199	167
2	1460	167
0	8199	167

Stop Event

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

Counts

10 → 624

Calls

Call 1

Inputs
#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)
(.f64 (/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))
(.f64 (.f64 y y) x)
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))))
(/.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))) (.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))))
(/.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 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (.f64 y y) x)))))
(/.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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (.f64 y y) x))))
(/.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 4 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))))
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 x #s(literal 1 binary64)) #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) (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y x) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3 binary64))))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x))) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x)))) #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3 binary64))))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 8 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 2 binary64))))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 8 binary64) (.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 y y) x)))))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) #s(literal 8 binary64)) (.f64 #s(literal 8 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))) #s(literal 64 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x))) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x))) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x)))) (.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 y y) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) #s(literal 8 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (pow.f64 (sinh.f64 (.f64 (*.f64 y y) x)) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (pow.f64 (sinh.f64 (.f64 (*.f64 y y) x)) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)))) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)))) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (pow.f64 (sqrt.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (sinh.f64 (.f64 (.f64 y y) x)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (sinh.f64 (.f64 (.f64 y y) x)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (sinh.f64 (.f64 (.f64 y y) x)) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(fma.f64 (sinh.f64 (.f64 (.f64 y y) x)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(fma.f64 (sinh.f64 (.f64 (.f64 y y) x)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(fma.f64 (sinh.f64 (.f64 (.f64 y y) x)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)))) (/.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)))))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (cosh.f64 (.f64 (*.f64 y y) x))))
(+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64)))

eval323.0ms (5.4%)

Memory: -34.1MiB live, 213.5MiB allocated
Compiler: Compiled 70 983 to 2 997 computations (95.8% saved)

prune14.0ms (0.2%)

Memory

9.7MiB live, 48.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	742	3	745
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	743	8	751

Accuracy

100.0%

Counts

751 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
▶	47.6%	(.f64 (/.f64 #s(approx (- (pow (sinh ( (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	51.7%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
▶	70.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	67.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓	65.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	48.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 225 to 119 computations (47.1% saved)

simplify164.0ms (2.7%)

Memory

-8.0MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
cost-diff	0	(.f64 (/.f64 #s(approx (- (pow (sinh ( (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))
cost-diff	2	(fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (*.f64 x x)))
cost-diff	3	(-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (*.f64 x x))
cost-diff	4	(fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y)))
cost-diff	8	(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x))
cost-diff	0	(.f64 (.f64 (*.f64 y y) x) x)
cost-diff	0	(fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	564
0	103	547
1	222	522
2	763	476
3	4076	476
0	8380	468

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (3.5%)

Memory

24.1MiB live, 220.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.015625	(cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)))
accuracy	0.028601281620653757	(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
accuracy	0.0390625	(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
accuracy	3.5506041103298367	(.f64 (.f64 y y) x)
accuracy	0.42126598229406964	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
accuracy	4.357166357452863	(fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (*.f64 x x)))
accuracy	5.261675402434322	(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x))
accuracy	8.96826687107623	(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (*.f64 y y))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x)
accuracy	0.42126598229406964	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
accuracy	2.38314133429269	(.f64 (.f64 (*.f64 y y) x) x)
accuracy	3.5506041103298367	(.f64 (.f64 y y) x)

Samples

71.0ms	68×	0	exit
52.0ms	122×	0	valid
37.0ms	66×	1	exit

Compiler

Compiled 1 086 to 119 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 84.0ms (62.6% of total)

ival-cosh: 10.0ms (7.5% of total)

ival-pow: 10.0ms (7.5% of total)

ival-add: 8.0ms (6% of total)

adjust: 6.0ms (4.5% of total)

ival-pow2: 5.0ms (3.7% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

ival-exp: 2.0ms (1.5% of total)

ival-sinh: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series69.0ms (1.1%)

Memory

-20.7MiB live, 35.8MiB allocated

Counts

17 → 71

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) x)
(.f64 (.f64 (*.f64 y y) x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y)))
(-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (*.f64 x x))
(fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(approx (- (pow (sinh ( (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))
(/.f64 #s(approx (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))))
#s(approx (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64))
(-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
(.f64 (.f64 y y) x)
(.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (*.f64 y y))
#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
(cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.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
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* (pow x 2) (pow y 2))
(* -1 (pow x 2))
(* -2 (pow x 2))
(* 1/2 (pow x 2))
(+ 1 (* 1/4 (* x (- (* 2 (pow y 2)) (* -2 (pow y 2))))))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
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(- (* -1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (- (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(* (pow y 2) (+ (* -3/2 (pow x 2)) (* 2 (pow x 2))))
(* 1/8 (* (pow y 6) (pow (- x (* -1 x)) 3)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x))))))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x)))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (+ (* 1/4 (* (- x (* -1 x)) (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (* (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))))))))))))))))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))))))) (* 2 (pow x 2)))))
(+ 1 (* (pow y 4) (+ (* 2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -8/3 (pow x 4)) (+ (* -2 (* x (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4/3 (pow x 3)))))) (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))))) (* -1/2 (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))))))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -3/2 (pow x 2)) (+ (* 2 (pow x 2)) (/ x (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (+ (* (* 1/4 x) 4) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y))) (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)) (* (* y y) x) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y)) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (pow (sinh (* (* y y) x)) 3) (cosh (* 2 (* (* y y) x))))
6.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (+ (* (* 1/4 x) 4) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y))) (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)) (* (* y y) x) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y)) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (pow (sinh (* (* y y) x)) 3) (cosh (* 2 (* (* y y) x))))
5.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (+ (* (* 1/4 x) 4) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y))) (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)) (* (* y y) x) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y)) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (pow (sinh (* (* y y) x)) 3) (cosh (* 2 (* (* y y) x))))
5.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (+ (* (* 1/4 x) 4) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y))) (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)) (* (* y y) x) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y)) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (pow (sinh (* (* y y) x)) 3) (cosh (* 2 (* (* y y) x))))
4.0ms	y	@	0	((exp (* (* x y) y)) (+ (* (+ (* (* (* (* y y) x) x) 1/2) x) (* y y)) 1) (+ (* (* (* (* y y) x) x) 1/2) x) (* (* (* y y) x) x) (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (+ (* (* 1/4 x) 4) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y))) (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3)) (* (* y y) x) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y)) (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (pow (sinh (* (* y y) x)) 3) (cosh (* 2 (* (* y y) x))))

simplify190.0ms (3.2%)

Memory

6.1MiB live, 198.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	619	4449
1	2309	3434
0	8710	3244

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

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
(* x (+ 1 (* 1/2 (* x (pow y 2)))))
(* (pow x 2) (pow y 2))
(* -1 (pow x 2))
(* -2 (pow x 2))
(* 1/2 (pow x 2))
(+ 1 (* 1/4 (* x (- (* 2 (pow y 2)) (* -2 (pow y 2))))))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
(+ 1 (* x (+ (* 1/4 (- (* 2 (pow y 2)) (* -2 (pow y 2)))) (* x (- (+ (* -1 (- (+ (* -1 (+ (* 1/4 (- (* 2 (pow y 4)) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (* 2 (pow y 4)))) (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (pow y 4))) (* x (- (* -1 (- (+ (* -1 (+ (* -1/2 (+ (* -4 (pow y 6)) (* -2 (* (pow y 2) (+ (* -4 (pow y 4)) (* 2 (pow y 4))))))) (* 1/4 (- (* 4/3 (pow y 6)) (+ (* -2 (* (pow y 2) (+ (* -2 (pow y 4)) (* 4 (pow y 4))))) (+ (* -4/3 (pow y 6)) (* 4 (pow y 6)))))))) (+ (* 1/4 (* (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4)) (- (* 2 (pow y 2)) (* -2 (pow y 2))))) (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (+ (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (* 1/4 (* (+ (* 1/2 (pow y 4)) (pow y 4)) (- (* 2 (pow y 2)) (* -2 (pow y 2))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))
(+ 1 (* (pow x 2) (- (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
(+ 1 (* (pow x 2) (- (+ (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (* x (- (* -1 (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
(+ 1 (* (pow x 2) (- (+ (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (* x (- (+ (* -1 (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))) (* x (- (* -1 (- (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (* 1/4 (pow y 8))))) (+ (* -1 (- (+ (* 1/8 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2))) (* 1/4 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (pow (- (pow y 2) (* -1 (pow y 2))) 2)))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (+ (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (+ (* 1/4 (pow y 8)) (* 1/2 (pow y 8))))))) (* (+ (* 1/2 (pow y 4)) (pow y 4)) (- (* -1 (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) (+ (* 1/2 (pow y 4)) (pow y 4)))))))) (* -1 (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))))
-1
(- (* (pow x 2) (- (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (pow y 4))) 1)
(- (* (pow x 2) (- (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* x (- (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (pow y 4))) 1)
(- (* (pow x 2) (- (+ (* 1/4 (pow (- (pow y 2) (* -1 (pow y 2))) 2)) (* x (- (+ (* 1/2 (* (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) (- (pow y 2) (* -1 (pow y 2))))) (* x (- (+ (* 1/4 (pow (- (* 1/2 (pow y 4)) (+ (* -1/2 (pow y 4)) (pow y 4))) 2)) (* 1/2 (* (- (* 1/6 (pow y 6)) (+ (* -1 (* (pow y 2) (+ (* -1/2 (pow y 4)) (pow y 4)))) (+ (* -1/6 (pow y 6)) (* 1/2 (pow y 6))))) (- (pow y 2) (* -1 (pow y 2)))))) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (+ (* -1/2 (pow y 6)) (* 1/6 (pow y 6)))))) (+ (* -1/2 (* (pow y 4) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/6 (pow y 8))))) (* 1/4 (pow y 8)))))) (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (pow y 4))) 1)
(- (* -1 (* (pow x 2) (+ (* 1/2 (pow y 4)) (pow y 4)))) 1)
(- (* (pow x 2) (- (* x (- (* 1/8 (pow (- (pow y 2) (* -1 (pow y 2))) 3)) (+ (* -1 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6)))) (* -1/2 (+ (* -1 (* (pow y 2) (+ (* -1 (pow y 4)) (* 1/2 (pow y 4))))) (* -1/2 (pow y 6))))))) (+ (* 1/2 (pow y 4)) (pow y 4)))) 1)
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(* x (pow y 2))
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(exp (* x (pow y 2)))
(* 1/2 (* (pow x 2) (pow y 4)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))
(* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))
(* (pow x 2) (+ (* 1/2 (pow y 2)) (/ 1 x)))
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(* 1/8 (pow (- (exp (* x (pow y 2))) (/ 1 (exp (* x (pow y 2))))) 3))
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(+ 1 (* 1/4 (* (pow y 2) (- (* 2 x) (* -2 x)))))
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(- (* (pow y 4) (- (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) 1)
(- (* (pow y 4) (- (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (- (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (pow x 2))) 1)
(- (* (pow y 4) (- (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* (pow y 2) (- (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (- (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (* 1/4 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (pow x 2))) 1)
(- (* -1 (* (pow y 4) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (* 1/8 (pow (- x (* -1 x)) 3)) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(- (* (pow y 4) (- (* (pow y 2) (- (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (- (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))))) (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) 1)
(* (pow y 2) (+ (* -3/2 (pow x 2)) (* 2 (pow x 2))))
(* 1/8 (* (pow y 6) (pow (- x (* -1 x)) 3)))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x))))))))))))
(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x)))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (+ (* 1/4 (* (- x (* -1 x)) (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (* (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))))))))))))))))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))))))) (* 2 (pow x 2)))))
(+ 1 (* (pow y 4) (+ (* 2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -8/3 (pow x 4)) (+ (* -2 (* x (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4/3 (pow x 3)))))) (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))))) (* -1/2 (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))))))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -3/2 (pow x 2)) (+ (* 2 (pow x 2)) (/ x (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))
x
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(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x))))))))))))
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(* (pow y 6) (+ (* 1/8 (pow (- x (* -1 x)) 3)) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/4 (* (pow (- x (* -1 x)) 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/4 (* (- x (* -1 x)) (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- x (* -1 x)))) (* (pow y 2) (+ (* 1/8 (* (pow (- x (* -1 x)) 2) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (+ (* 1/4 (* (- x (* -1 x)) (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/2 (* (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (* (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))))) (* 1/2 (* (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) x) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)))))))) (.f64 y y) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))))) (.f64 y y) (.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 3/8 binary64))) (.f64 y y) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 y #s(literal 6 binary64)))
(+ 1 (* (pow y 4) (+ (* -1/2 (* (pow y 2) (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))))))) (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) x) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 4) (+ (* 2 (pow x 2)) (* (pow y 2) (+ (* -1/2 (* (pow y 2) (+ (* -8/3 (pow x 4)) (+ (* -2 (* x (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4/3 (pow x 3)))))) (* -2 (* (pow x 2) (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))))) (* -1/2 (+ (* -4 (pow x 3)) (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -8/3 binary64) (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) x) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))) x) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 y y) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) x) #s(literal -2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))))) (.f64 y y) (.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x (.f64 y y))) (.f64 y y))
(* (pow y 2) (+ (* -3/2 (pow x 2)) (+ (* 2 (pow x 2)) (/ x (pow y 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x (.f64 y y))) (.f64 y y))

rewrite191.0ms (3.2%)

Memory

9.5MiB live, 197.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	408
0	103	402
1	380	370
2	3151	366
0	8244	354

Stop Event

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

Counts

17 → 485

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) y) y))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) y) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) y)) y))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) x)) (*.f64 y y)))
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(fma.f64 (.f64 y y) (.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 (.f64 y y) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (*.f64 x x)))))
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#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) x) x (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
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(pow.f64 (neg.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
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(pow.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))
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(/.f64 (fabs.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 (.f64 (*.f64 y y) x)) #s(literal 3 binary64)))) #s(literal 8 binary64))
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(/.f64 (.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 y y) x)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 (.f64 (*.f64 y y) x)) #s(literal 3 binary64))) #s(literal 8 binary64))
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(fabs.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 x) (.f64 y y))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3/2 binary64) (.f64 (log.f64 (sinh.f64 (.f64 (*.f64 y y) x))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (sinh.f64 (.f64 (*.f64 y y) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (sinh.f64 (.f64 (*.f64 y y) x))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (sinh.f64 (.f64 (.f64 y y) x))) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 6 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 4 binary64)) (pow.f64 (/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 y y) x))) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 y y) x))))) #s(literal -2 binary64))
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(cosh.f64 (neg.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 y y) x)))))
(cosh.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 y y) x))))
(cosh.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 y y) x)))
(cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)))
(-.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 (.f64 y y) x)) (sinh.f64 (.f64 (neg.f64 x) (*.f64 y y)))))
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(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (.f64 y x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (*.f64 y y) x)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 2 binary64)))
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eval114.0ms (1.9%)

Memory: -0.3MiB live, 157.3MiB allocated
Compiler: Compiled 44 119 to 3 183 computations (92.8% saved)

prune37.0ms (0.6%)

Memory

0.3MiB live, 39.7MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	579	9	588
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	580	16	596

Accuracy

100.0%

Counts

596 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(+.f64 (sinh.f64 (.f64 (.f64 y x) y)) (cosh.f64 (.f64 (.f64 y x) y)))
✓	47.6%	(.f64 (/.f64 #s(approx (- (pow (sinh ( (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) #s(literal -1 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)))) (+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) (/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 y y) x))) #s(literal 2 binary64))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
	51.9%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3/2 binary64) x) x (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 y y) x) (*.f64 y y) #s(literal 1 binary64)))
	41.2%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (fma.f64 (.f64 y y) (.f64 #s(literal -3/2 binary64) (.f64 x x)) (.f64 (.f64 y y) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 x x)))))) (*.f64 y y) #s(literal 1 binary64)))
	39.7%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (fma.f64 (.f64 y y) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 x x))) (.f64 (.f64 y y) (.f64 #s(literal -3/2 binary64) (.f64 x x))))) (*.f64 y y) #s(literal 1 binary64)))
	39.7%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (+.f64 (.f64 (.f64 y y) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 (.f64 y y) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 x x)))))) (.f64 y y) #s(literal 1 binary64)))
	51.7%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (-.f64 (.f64 x x) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (neg.f64 x) x))) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)))
	51.9%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -3/2 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 x x)))) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
	51.7%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (.f64 (fma.f64 #s(approx (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) (.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal -1 binary64) (.f64 #s(literal -3/2 binary64) (.f64 x x))) (.f64 y y))) (.f64 y y) #s(literal 1 binary64)))
	60.9%	#s(approx (* (/ (- (pow (sinh (* (* y y) x)) 2) (pow (cosh (* (* y y) x)) 2)) (- (pow (sinh (* (* y y) x)) 3) (pow (cosh (* (* y y) x)) 3))) (+ (cosh (* 2 (* (* y y) x))) (/ (sinh (* 2 (* (* y y) x))) 2))) (fma.f64 #s(approx (+ (* (* 1/4 x) 4) (* (+ (* (- (+ (* (* (* x x) 4) 1/4) (* (* -2 x) x)) (* x x)) -1) (* -3/2 (* x x))) (* y y))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y) x)) (.f64 y y) #s(literal 1 binary64)))
✓	70.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
	63.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
✓	67.3%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓	65.1%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	48.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 1 930 to 579 computations (70% saved)

regimes23.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes51.0ms (0.8%)

Memory

-13.6MiB live, 36.6MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	y
5.0ms	x
4.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
70.3%	1	`x`
70.3%	1	`y`
70.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
70.3%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-16.7MiB live, 18.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(exp.f64 (.f64 (.f64 x y) y))
2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
67.3%	1	`x`
71.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
71.5%	2	`(.f64 (.f64 x y) y)`
71.1%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.3%	1	`y`
67.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
67.3%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.1%	1	`(.f64 (.f64 x y) y)`
65.1%	1	`x`
65.1%	1	`y`
65.1%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-25.2MiB live, 11.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
48.3%	1	`(.f64 (.f64 x y) y)`
48.3%	1	`x`
48.3%	1	`y`
48.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0523089095778215e-31	6.377498785381324e-10

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify49.0ms (0.8%)

Memory

31.2MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	100
1	42	100
2	64	100
3	133	100
4	413	100
5	1924	100
6	5166	100

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y 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)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) (.f64 y y) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal 1/2 binary64) x) (.f64 y 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)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness776.0ms (12.9%)

Memory

-4.9MiB live, 524.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	23	56
1	85	56
2	468	56
3	6026	56
0	8071	56
0	63	408
0	103	402
1	380	370
2	3151	366
0	8244	354
0	585	4656
1	2167	3326
0	10177	3125
0	44	98
1	146	98
2	540	98
3	2319	98
4	6123	98
0	8176	87

Stop Event

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

Compiler

Compiled 217 to 115 computations (47% saved)

preprocess68.0ms (1.1%)

Memory: -14.7MiB live, 23.4MiB allocated
Remove: (abs y)
Compiler: Compiled 236 to 92 computations (61% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample649.0ms (10.8%)

explain65.0ms (1.1%)

preprocess149.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify105.0ms (1.7%)

localize42.0ms (0.7%)

series8.0ms (0.1%)

simplify288.0ms (4.8%)

rewrite403.0ms (6.7%)

eval103.0ms (1.7%)

prune6.0ms (0.1%)

simplify131.0ms (2.2%)

localize47.0ms (0.8%)

series29.0ms (0.5%)

simplify258.0ms (4.3%)

rewrite244.0ms (4.1%)

eval86.0ms (1.4%)

prune9.0ms (0.2%)

simplify183.0ms (3%)

localize180.0ms (3%)

series80.0ms (1.3%)

simplify242.0ms (4%)

rewrite396.0ms (6.6%)

eval323.0ms (5.4%)

prune14.0ms (0.2%)

simplify164.0ms (2.7%)

localize213.0ms (3.5%)

series69.0ms (1.1%)

simplify190.0ms (3.2%)

rewrite191.0ms (3.2%)

eval114.0ms (1.9%)

prune37.0ms (0.6%)

regimes23.0ms (0.4%)

regimes51.0ms (0.8%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

simplify49.0ms (0.8%)

soundness776.0ms (12.9%)

preprocess68.0ms (1.1%)

end0.0ms (0%)

Profiling