Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (20.4%)

Memory

26.0MiB live, 1 074.2MiB allocated; 188ms collecting garbage

Samples

811.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-mult: 239.0ms (62.7% of total)

ival-add: 126.0ms (33.1% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 4.0ms (1% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

explain163.0ms (3.1%)

Memory

-31.4MiB live, 155.0MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	10	0

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 8.0ms (69.9% of total)

ival-add: 3.0ms (26.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess55.0ms (1%)

Memory

15.1MiB live, 103.5MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	71	37
2	235	35
3	479	35
4	702	35
5	791	35
6	857	35
7	875	35
8	880	35
9	880	35
10	920	35
11	1000	35
0	6	7
0	9	7
1	25	7
2	71	7
3	195	7
4	367	7
5	455	7
6	530	7
7	582	7
8	587	7
0	587	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify21.0ms (0.4%)

Memory

-1.0MiB live, 56.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

11.9MiB live, 56.2MiB allocated; 9ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	2.400812176730723	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

21.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 12.0ms (84.2% of total)

ival-add: 2.0ms (14% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

3 → 9

Calls

Call 1

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

Outputs
(* x (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))

Calls

6 calls:

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

simplify222.0ms (4.2%)

Memory

-9.5MiB live, 180.6MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	46	41
2	114	41
3	474	41
4	3126	41
0	8249	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* x (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))

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

rewrite150.0ms (2.8%)

Memory

-9.2MiB live, 272.4MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	288	15
3	2484	15
0	8451	13

Stop Event

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

Counts

3 → 242

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
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eval56.0ms (1.1%)

Memory: 18.9MiB live, 74.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 505 to 801 computations (87.7% saved)

prune12.0ms (0.2%)

Memory

-26.3MiB live, 20.0MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	241	6	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	242	6	248

Accuracy

100.0%

Counts

248 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
	69.2%	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	89.6%	(*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
▶	53.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	47.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 108 to 86 computations (20.4% saved)

simplify29.0ms (0.5%)

Memory

-1.9MiB live, 41.4MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
0	30	87
1	59	87
2	121	87
3	275	87
4	502	87
5	668	87
6	837	87
7	931	87
8	953	87
9	957	87
10	957	87
0	957	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 y x)
x
y
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 y y) x x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) x x)
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

localize52.0ms (1%)

Memory

-4.5MiB live, 91.4MiB allocated; 16ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy	2.400812176730723	(*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
accuracy	15.018424818308908	(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	2.389093426730723	(fma.f64 (*.f64 y y) x x)
accuracy	0.0	(*.f64 y y)
accuracy	6.810918807143414	(.f64 (.f64 y y) x)
accuracy	31.483129006157043	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
accuracy	2.400812176730723	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	30.28204404636426	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)

Samples

35.0ms

256×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

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

ival-mult: 10.0ms (49.6% of total)

ival-add: 5.0ms (24.8% of total)

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

ival-sqrt: 2.0ms (9.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

12 → 12

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(fma.f64 (*.f64 y y) x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (+ 1 (sqrt (pow y 4)))) (+ 1 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4))
2.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (+ 1 (sqrt (pow y 4)))) (+ 1 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4))
1.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (+ 1 (sqrt (pow y 4)))) (+ 1 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4))
1.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (+ 1 (sqrt (pow y 4)))) (+ 1 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4))
1.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (+ 1 (sqrt (pow y 4)))) (+ 1 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4))

simplify218.0ms (4.1%)

Memory

-20.3MiB live, 279.9MiB allocated; 114ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	62	54
2	144	54
3	530	54
4	2048	54
5	5175	54
6	7542	54
0	8856	48

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

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

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

rewrite220.0ms (4.2%)

Memory

7.5MiB live, 238.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	30	68
1	105	68
2	500	68
3	5308	68
0	8905	65

Stop Event

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

Counts

12 → 565

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(fma.f64 (*.f64 y y) x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))

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

eval86.0ms (1.6%)

Memory: -2.1MiB live, 95.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 6 920 to 1 106 computations (84% saved)

prune9.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	360	4	364
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	362	8	370

Accuracy

100.0%

Counts

370 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.4%	(fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 y (*.f64 y x)) x)))
✓	96.3%	(fma.f64 (*.f64 y y) x x)
▶	69.2%	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
✓	53.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	47.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) x))
✓	47.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	50.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
▶	40.3%	#s(approx (* x (+ 1 (* y y))) (*.f64 (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) x))

Compiler

Compiled 196 to 131 computations (33.2% saved)

simplify119.0ms (2.3%)

Memory

-5.0MiB live, 136.0MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	213
0	58	213
1	104	206
2	235	201
3	867	201
4	3024	196
0	8913	193

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (2.8%)

Memory

-15.4MiB live, 276.1MiB allocated; 28ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.4760178635283947	(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y)
accuracy	5.9802793331968696	(/.f64 y (-.f64 (.f64 y (.f64 y x)) x))
accuracy	13.904030991113876	(fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 y (*.f64 y x)) x)))
accuracy	24.620939976292295	(/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 y (*.f64 y x)) x))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.205410009768442	(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
accuracy	6.810918807143414	(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) x)
accuracy	31.483129006157043	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) x))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	6.810918807143414	(*.f64 (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) x)
accuracy	15.018424818308908	(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	31.483129006157043	#s(approx (* x (+ 1 (* y y))) (*.f64 (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.14453125	(.f64 (.f64 y x) y)
accuracy	31.483129006157043	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	0.9854103860341361	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy	16.15289531512051	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))

Samples

92.0ms

256×

valid

Compiler

Compiled 196 to 35 computations (82.1% saved)

Precisions

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

ival-mult: 20.0ms (29.7% of total)

ival-sub: 18.0ms (26.8% of total)

ival-pow: 12.0ms (17.8% of total)

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

ival-add: 4.0ms (5.9% of total)

ival-sqrt: 4.0ms (5.9% of total)

ival-pow2: 3.0ms (4.5% of total)

exact: 1.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

series44.0ms (0.8%)

Memory

-5.4MiB live, 88.1MiB allocated; 21ms collecting garbage

Counts

20 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	((/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* x (+ 1 (* y y))) (* (sqrt (pow y 4)) x) (sqrt (pow y 4)) (* x (+ 1 (* y y))) (* (* (pow y 3/2) (sqrt y)) x) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x)) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (sqrt y) (/ y (- (* y (* y x)) x)))
9.0ms	x	@	-inf	((/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* x (+ 1 (* y y))) (* (sqrt (pow y 4)) x) (sqrt (pow y 4)) (* x (+ 1 (* y y))) (* (* (pow y 3/2) (sqrt y)) x) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x)) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (sqrt y) (/ y (- (* y (* y x)) x)))
8.0ms	y	@	inf	((/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* x (+ 1 (* y y))) (* (sqrt (pow y 4)) x) (sqrt (pow y 4)) (* x (+ 1 (* y y))) (* (* (pow y 3/2) (sqrt y)) x) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x)) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (sqrt y) (/ y (- (* y (* y x)) x)))
7.0ms	x	@	0	((/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* x (+ 1 (* y y))) (* (sqrt (pow y 4)) x) (sqrt (pow y 4)) (* x (+ 1 (* y y))) (* (* (pow y 3/2) (sqrt y)) x) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x)) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (sqrt y) (/ y (- (* y (* y x)) x)))
4.0ms	x	@	inf	((/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* x (+ 1 (* y y))) (* (sqrt (pow y 4)) x) (sqrt (pow y 4)) (* x (+ 1 (* y y))) (* (* (pow y 3/2) (sqrt y)) x) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x)) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (sqrt y) (/ y (- (* y (* y x)) x)))

simplify231.0ms (4.4%)

Memory

31.5MiB live, 219.5MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	538
1	359	516
2	1081	493
3	4960	489
0	8035	475

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

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

rewrite334.0ms (6.3%)

Memory

27.5MiB live, 306.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	171
0	58	142
1	196	132
2	1233	132
0	8428	127

Stop Event

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

Counts

20 → 908

Calls

Call 1

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

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

eval215.0ms (4.1%)

Memory: -13.0MiB live, 366.3MiB allocated; 82ms collecting garbage
Compiler: Compiled 32 534 to 2 977 computations (90.8% saved)

prune22.0ms (0.4%)

Memory

9.8MiB live, 108.4MiB allocated; 12ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	880	4	884
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	884	8	892

Accuracy

100.0%

Counts

892 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (.f64 y (.f64 y x)) x)) #s(approx (/ (* (neg x) x) (- (* y (* y x)) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
✓	96.3%	(fma.f64 (*.f64 y y) x x)
▶	75.4%	(fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 (/.f64 y (-.f64 (.f64 (.f64 x y) y) x)) y)) (.f64 (/.f64 x (-.f64 (.f64 (*.f64 x y) y) x)) (neg.f64 x)))
▶	69.2%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
✓	53.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	50.6%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) y))
✓	47.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	50.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 143 to 82 computations (42.7% saved)

simplify133.0ms (2.5%)

Memory

-27.9MiB live, 206.5MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y)
cost-diff	1	(-.f64 (.f64 y (.f64 y x)) x)
cost-diff	2	(fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (.f64 y (.f64 y x)) x)) #s(approx (/ (* (neg x) x) (- (* y (* y x)) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
cost-diff	0	(*.f64 x y)
cost-diff	1	(-.f64 (.f64 (.f64 x y) y) x)
cost-diff	2	(.f64 (.f64 x y) (.f64 (/.f64 y (-.f64 (.f64 (*.f64 x y) y) x)) y))
cost-diff	11	(fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 (/.f64 y (-.f64 (.f64 (.f64 x y) y) x)) y)) (.f64 (/.f64 x (-.f64 (.f64 (*.f64 x y) y) x)) (neg.f64 x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
cost-diff	3	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
cost-diff	6	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 x y))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) y)
cost-diff	0	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) y))
cost-diff	6	(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	307
0	71	288
1	163	275
2	465	253
3	2281	246
0	8146	243

Stop Event

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

Calls

Call 1

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

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

localize273.0ms (5.2%)

Memory

16.9MiB live, 171.1MiB allocated; 42ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	1.4760178635283947	(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y)
accuracy	4.2034893579988335	(/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	5.9802793331968696	(/.f64 y (-.f64 (.f64 y (.f64 y x)) x))
accuracy	13.904030991113876	(fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (.f64 y (.f64 y x)) x)) #s(approx (/ (* (neg x) x) (- (* y (* y x)) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
accuracy	4.2073956079988335	(.f64 (/.f64 x (-.f64 (.f64 (*.f64 x y) y) x)) (neg.f64 x))
accuracy	5.9802793331968696	(/.f64 y (-.f64 (.f64 (.f64 x y) y) x))
accuracy	8.886149437291252	(.f64 (/.f64 y (-.f64 (.f64 (*.f64 x y) y) x)) y)
accuracy	12.081916409075793	(.f64 (.f64 x y) (.f64 (/.f64 y (-.f64 (.f64 (*.f64 x y) y) x)) y))
accuracy	0.0	(*.f64 y y)
accuracy	0.046875	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
accuracy	0.9854103860341361	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
accuracy	16.15289531512051	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.14453125	(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) y)
accuracy	0.3991012695368841	(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
accuracy	16.415391475799517	(sqrt.f64 (*.f64 x y))
accuracy	31.483129006157043	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) y))

Samples

237.0ms

256×

valid

Compiler

Compiled 290 to 40 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-add: 169.0ms (77.2% of total)

ival-mult: 26.0ms (11.9% of total)

ival-div: 10.0ms (4.6% of total)

ival-sqrt: 6.0ms (2.7% of total)

ival-sub: 2.0ms (0.9% of total)

ival-pow2: 2.0ms (0.9% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.9%)

Memory

12.9MiB live, 58.5MiB allocated; 17ms collecting garbage

Counts

21 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((* (sqrt (* x y)) (sqrt (* x y))) (* x (+ 1 (* y y))) (* (* (sqrt (* x y)) (sqrt (* x y))) y) (sqrt (* x y)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* (* x y) (* (* x y) (* (/ y (- (* (* x y) y) x)) y))) (* (/ x (- (* (* x y) y) x)) (neg x))) (* (* x y) (* (/ y (- (* (* x y) y) x)) y)) (- (* (* x y) y) x) (* x y) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (pow (* y x) 2) (* (/ y (- (* (* x y) y) x)) y) (/ y (- (* (* x y) y) x)) (* (/ x (- (* (* x y) y) x)) (neg x)) (/ y (- (* y (* y x)) x)) (/ (neg x) (+ (* y y) -1)))
8.0ms	x	@	-inf	((* (sqrt (* x y)) (sqrt (* x y))) (* x (+ 1 (* y y))) (* (* (sqrt (* x y)) (sqrt (* x y))) y) (sqrt (* x y)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* (* x y) (* (* x y) (* (/ y (- (* (* x y) y) x)) y))) (* (/ x (- (* (* x y) y) x)) (neg x))) (* (* x y) (* (/ y (- (* (* x y) y) x)) y)) (- (* (* x y) y) x) (* x y) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (pow (* y x) 2) (* (/ y (- (* (* x y) y) x)) y) (/ y (- (* (* x y) y) x)) (* (/ x (- (* (* x y) y) x)) (neg x)) (/ y (- (* y (* y x)) x)) (/ (neg x) (+ (* y y) -1)))
5.0ms	x	@	0	((* (sqrt (* x y)) (sqrt (* x y))) (* x (+ 1 (* y y))) (* (* (sqrt (* x y)) (sqrt (* x y))) y) (sqrt (* x y)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* (* x y) (* (* x y) (* (/ y (- (* (* x y) y) x)) y))) (* (/ x (- (* (* x y) y) x)) (neg x))) (* (* x y) (* (/ y (- (* (* x y) y) x)) y)) (- (* (* x y) y) x) (* x y) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (pow (* y x) 2) (* (/ y (- (* (* x y) y) x)) y) (/ y (- (* (* x y) y) x)) (* (/ x (- (* (* x y) y) x)) (neg x)) (/ y (- (* y (* y x)) x)) (/ (neg x) (+ (* y y) -1)))
5.0ms	y	@	-inf	((* (sqrt (* x y)) (sqrt (* x y))) (* x (+ 1 (* y y))) (* (* (sqrt (* x y)) (sqrt (* x y))) y) (sqrt (* x y)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* (* x y) (* (* x y) (* (/ y (- (* (* x y) y) x)) y))) (* (/ x (- (* (* x y) y) x)) (neg x))) (* (* x y) (* (/ y (- (* (* x y) y) x)) y)) (- (* (* x y) y) x) (* x y) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (pow (* y x) 2) (* (/ y (- (* (* x y) y) x)) y) (/ y (- (* (* x y) y) x)) (* (/ x (- (* (* x y) y) x)) (neg x)) (/ y (- (* y (* y x)) x)) (/ (neg x) (+ (* y y) -1)))
3.0ms	y	@	inf	((* (sqrt (* x y)) (sqrt (* x y))) (* x (+ 1 (* y y))) (* (* (sqrt (* x y)) (sqrt (* x y))) y) (sqrt (* x y)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* (* x y) (* (* x y) (* (/ y (- (* (* x y) y) x)) y))) (* (/ x (- (* (* x y) y) x)) (neg x))) (* (* x y) (* (/ y (- (* (* x y) y) x)) y)) (- (* (* x y) y) x) (* x y) (+ (* (* (pow (* y x) 2) y) (/ y (- (* y (* y x)) x))) (/ (* (neg x) x) (- (* y (* y x)) x))) (- (* y (* y x)) x) (* (pow (* y x) 2) y) (pow (* y x) 2) (* (/ y (- (* (* x y) y) x)) y) (/ y (- (* (* x y) y) x)) (* (/ x (- (* (* x y) y) x)) (neg x)) (/ y (- (* y (* y x)) x)) (/ (neg x) (+ (* y y) -1)))

simplify204.0ms (3.9%)

Memory

-28.4MiB live, 244.8MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	836
1	472	823
2	1458	787
3	6449	777
0	8284	759

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite270.0ms (5.1%)

Memory

26.8MiB live, 317.6MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	239
0	71	201
1	283	180
2	1720	180
0	8513	177

Stop Event

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

Counts

21 → 1 188

Calls

Call 1

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

Outputs
(.f64 (fabs.f64 (sqrt.f64 (.f64 (*.f64 y x) x))) (sqrt.f64 y))
(.f64 (sqrt.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 (neg.f64 y) (*.f64 x x))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) y)
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 y) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 y x) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 y x) x)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) x)))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) x) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (*.f64 x x))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 x (*.f64 y x))))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 x (*.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 y x) x)))
(.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 (.f64 (*.f64 y y) x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 y x)
(*.f64 x (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 x y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 y x))))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (.f64 y x))) (sinh.f64 (log.f64 (.f64 y x))))
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (fabs.f64 (.f64 x (neg.f64 y))) y)
(.f64 (fabs.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (*.f64 y x)))
(.f64 (.f64 x (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 y x)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (sqrt.f64 x) (fabs.f64 (.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(.f64 (.f64 y y) x)
(.f64 (sqrt.f64 (.f64 y x)) (fabs.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(.f64 (sqrt.f64 (.f64 y x)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (.f64 y x) y)
(.f64 y (fabs.f64 (.f64 (neg.f64 y) x)))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(sqrt.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (.f64 (.f64 y y) x)))
(fabs.f64 (.f64 (.f64 y y) x))
(.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (*.f64 y x) x))) (sqrt.f64 (sqrt.f64 y)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 (*.f64 y y) x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 y) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 y x) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 y x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 y (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 y x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 y x))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(exp.f64 (/.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (.f64 y x)))))
(.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) x) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(.f64 (/.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))
(.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) (fma.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) (/.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) (.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) x) x))) (/.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 y y) x) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) x) x))))))
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(fma.f64 (/.f64 x (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) x)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (.f64 x x) (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (.f64 x x) x) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 x x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(-.f64 (.f64 (.f64 y y) x) x)
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 y y) x) (.f64 y x))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y)
(.f64 (.f64 y y) (.f64 (.f64 x x) y))
(.f64 (.f64 y x) (.f64 (.f64 y y) x))
(.f64 y (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 y x) x) #s(literal 1 binary64)) y)
(.f64 (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 y x) x)) #s(literal 2 binary64)) y)
(.f64 (.f64 (*.f64 y x) x) y)
(.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y x)))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 x x)))
(.f64 (.f64 (*.f64 y y) x) x)
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) x))
(.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(.f64 (.f64 y x) (*.f64 y x))
(.f64 y (pow.f64 (.f64 (neg.f64 y) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 y (pow.f64 (.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 y (pow.f64 (.f64 x (*.f64 y x)) #s(literal 1 binary64)))
(.f64 y (pow.f64 (.f64 (*.f64 y x) x) #s(literal 1 binary64)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 (*.f64 y x) x))
(.f64 x (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64)))
(.f64 x (pow.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) #s(literal 2 binary64)))
(.f64 x (.f64 (*.f64 y y) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 y x)))
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 4 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 y x)) (log.f64 (.f64 y x))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 y y) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 (.f64 (*.f64 y y) x) x)))
(.f64 (/.f64 y (-.f64 (.f64 (*.f64 y y) x) x)) y)
(.f64 y (/.f64 y (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (.f64 (neg.f64 y) y) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (.f64 y y) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) x) x))
(.f64 (/.f64 y (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(.f64 (/.f64 y (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)))
(/.f64 y (-.f64 (.f64 (.f64 y y) x) x))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (.f64 (.f64 y y) x) x)))
(neg.f64 (/.f64 y (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (/.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 y y) x) x)) x)
(.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)))
(.f64 (/.f64 x (-.f64 (.f64 (*.f64 y y) x) x)) (neg.f64 x))
(.f64 x (/.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (.f64 x x) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x)))))
(/.f64 (.f64 x x) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x)))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) x) x))))
(/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (*.f64 y y) x) x))
(neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 y y) x) x)))
(.f64 (/.f64 y (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(.f64 (/.f64 y (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 (.f64 (.f64 y y) x) x)))
(/.f64 y (-.f64 (.f64 (.f64 y y) x) x))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 (.f64 (.f64 y y) x) x)))
(neg.f64 (/.f64 y (neg.f64 (-.f64 (.f64 (.f64 y y) x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 x) (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 x (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))))

eval288.0ms (5.5%)

Memory: -14.7MiB live, 426.4MiB allocated; 106ms collecting garbage
Compiler: Compiled 46 401 to 3 967 computations (91.5% saved)

prune22.0ms (0.4%)

Memory

22.2MiB live, 68.0MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 046	2	1 048
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	1 048	8	1 056

Accuracy

100.0%

Counts

1 056 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(fma.f64 (.f64 (.f64 (.f64 (.f64 y x) x) y) y) (/.f64 y (-.f64 (.f64 y (.f64 y x)) x)) #s(approx (/ (* (neg x) x) (- (* y (* y x)) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
✓	96.3%	(fma.f64 (*.f64 y y) x x)
✓	69.2%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
✓	53.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	50.6%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) y))
	40.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (.f64 x x)))) y))
✓	47.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	50.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 426 to 165 computations (61.3% saved)

regimes26.0ms (0.5%)

Memory

-11.1MiB live, 46.7MiB allocated; 8ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

8.0ms	y
5.0ms	x
5.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
4.0ms	(*.f64 y y)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.2%)

Memory

-23.0MiB live, 21.7MiB allocated; 8ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	y
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
98.7%	2	`(*.f64 y y)`
98.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
80.2%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
59.0%	4	`x`
98.7%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
53.2%	1	`(*.f64 y y)`
53.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
53.2%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch13.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0672391358542806	6983.981251520031

Samples

6.0ms

144×

valid

Compiler

Compiled 208 to 182 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (71.5% of total)

ival-add: 1.0ms (35.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify35.0ms (0.7%)

Memory

-21.5MiB live, 23.7MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	31	41
2	77	41
3	199	41
4	409	41
5	546	41
6	658	41
7	739	41
8	739	41

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

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

Outputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

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

derivations379.0ms (7.2%)

Memory

-11.9MiB live, 363.1MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	30	68
1	105	68
2	500	68
3	5308	68
0	8905	65
0	6	15
0	9	15
1	41	15
2	288	15
3	2484	15
0	8451	13
0	15	41
1	46	41
2	114	41
3	474	41
4	3126	41
0	8249	36

Stop Event

1×	fuel
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 41 to 16 computations (61% saved)

preprocess36.0ms (0.7%)

Memory

45.0MiB live, 87.9MiB allocated; 8ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 70 computations (47.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16

Iter	Nodes	Cost
0	19	88
0	30	87
1	59	87
2	121	87
3	275	87
4	502	87
5	668	87
6	837	87
7	931	87
8	953	87
9	957	87
10	957	87
0	957	84

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16

Iter	Nodes	Cost
0	19	88
0	30	87
1	59	87
2	121	87
3	275	87
4	502	87
5	668	87
6	837	87
7	931	87
8	953	87
9	957	87
10	957	87
0	957	84

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (20.4%)

explain163.0ms (3.1%)

preprocess55.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.4%)

localize26.0ms (0.5%)

series4.0ms (0.1%)

simplify222.0ms (4.2%)

rewrite150.0ms (2.8%)

eval56.0ms (1.1%)

prune12.0ms (0.2%)

simplify29.0ms (0.5%)

localize52.0ms (1%)

series9.0ms (0.2%)

simplify218.0ms (4.1%)

rewrite220.0ms (4.2%)

eval86.0ms (1.6%)

prune9.0ms (0.2%)

simplify119.0ms (2.3%)

localize148.0ms (2.8%)

series44.0ms (0.8%)

simplify231.0ms (4.4%)

rewrite334.0ms (6.3%)

eval215.0ms (4.1%)

prune22.0ms (0.4%)

simplify133.0ms (2.5%)

localize273.0ms (5.2%)

series50.0ms (0.9%)

simplify204.0ms (3.9%)

rewrite270.0ms (5.1%)

eval288.0ms (5.5%)

prune22.0ms (0.4%)

regimes26.0ms (0.5%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch13.0ms (0.2%)

simplify35.0ms (0.7%)

derivations379.0ms (7.2%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16

Iter	Nodes	Cost
0	19	88
0	30	87
1	59	87
2	121	87
3	275	87
4	502	87
5	668	87
6	837	87
7	931	87
8	953	87
9	957	87
10	957	87
0	957	84