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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.6s (26.5%)

Memory

5.1MiB live, 792.7MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 699.0ms

ival-mult: 624.0ms (89.2% of total)

ival-add: 62.0ms (8.9% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain106.0ms (1.8%)

Memory

41.4MiB live, 79.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(.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**	11	0

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 7.0ms (68.5% of total)

ival-add: 2.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess81.0ms (1.4%)

Memory

-5.8MiB live, 31.9MiB allocated

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify104.0ms (1.7%)

Memory

-33.6MiB live, 10.8MiB allocated

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

localize15.0ms (0.3%)

Memory

24.3MiB live, 24.4MiB allocated

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	2.5996937468026435	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

10.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (62.3% of total)

ival-add: 1.0ms (20.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

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	y	@	inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	0	((+ 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	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))

simplify169.0ms (2.8%)

Memory

-12.3MiB live, 147.0MiB allocated

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)

rewrite164.0ms (2.7%)

Memory

-10.7MiB live, 211.1MiB allocated

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)))
(/.f64 (fma.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 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
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eval30.0ms (0.5%)

Memory: -12.8MiB live, 61.4MiB allocated
Compiler: Compiled 6 505 to 801 computations (87.7% saved)

prune4.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	243	4	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	4	248

Accuracy

100.0%

Counts

248 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	64.0%	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	49.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	49.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify132.0ms (2.2%)

Memory

-23.1MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	31	88
1	61	87
2	136	87
3	361	87
4	832	87
5	1698	87
6	3502	87
7	5091	87
0	8145	85

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(.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)
(/.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)
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y

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

localize57.0ms (1%)

Memory

20.9MiB live, 105.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0625	(fma.f64 (*.f64 x y) y x)
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	2.6054934918362123	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy	17.132333137629228	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	2.5996937468026435	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	32.28257030989841	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	6.150297857132481	(.f64 (.f64 y y) x)
accuracy	29.528068911319384	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Samples

44.0ms

256×

valid

Compiler

Compiled 171 to 40 computations (76.6% saved)

Precisions

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

ival-mult: 9.0ms (44.2% of total)

ival-add: 5.0ms (24.6% of total)

ival-pow: 3.0ms (14.7% of total)

ival-div: 2.0ms (9.8% of total)

ival-sub: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-14.4MiB live, 24.3MiB allocated

Counts

11 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (+ (* (* x y) y) x) (* x y))
3.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (+ (* (* x y) y) x) (* x y))
3.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (+ (* (* x y) y) x) (* x y))
3.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (+ (* (* x y) y) x) (* x y))
2.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4) (+ (* (* x y) y) x) (* x y))

simplify129.0ms (2.2%)

Memory

18.3MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	112
1	99	112
2	235	112
3	782	112
4	3236	112
0	8420	105

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

rewrite189.0ms (3.2%)

Memory

10.6MiB live, 208.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
0	31	79
1	120	66
2	752	66
0	9397	64

Stop Event

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

Counts

11 → 749

Calls

Call 1

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

Outputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
(.f64 (.f64 (neg.f64 x) y) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 x) y))
(.f64 (.f64 (*.f64 y x) y) #s(literal 1 binary64))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))
(.f64 x (.f64 y y))
(neg.f64 (.f64 (.f64 (neg.f64 y) y) x))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(.f64 (.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (+ 1 (* y y)) #s(literal 1 binary64))))
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.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))) (fma.f64 (*.f64 y x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y x) y x)) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y x) y x)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 16 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))))) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (pow.f64 y #s(literal 24 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 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))))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 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 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (fma.f64 (.f64 y x) y 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 (.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y x)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) 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 x (fma.f64 (.f64 y x) y x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 x (fma.f64 (.f64 y x) y 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 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.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 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
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(+.f64 (.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (.f64 (/.f64 (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 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 y y) (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (.f64 (.f64 y y) (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) x))
(+.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 y y #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (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 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (.f64 y y)) (.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (.f64 x (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (/.f64 (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))))))
(+.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)))) (/.f64 (pow.f64 (.f64 (.f64 y x) y) #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 (pow.f64 (.f64 (.f64 y x) y) #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 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (.f64 x (fma.f64 y y #s(literal -1 binary64))))) (/.f64 (.f64 (neg.f64 x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 y x) y) x)
(+.f64 x (.f64 (neg.f64 (.f64 (neg.f64 x) y)) y))
(+.f64 x (.f64 (neg.f64 (neg.f64 x)) (.f64 y y)))
(+.f64 x (.f64 (.f64 (neg.f64 y) y) x))
(+.f64 x (.f64 (.f64 y x) y))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 x y)

eval58.0ms (1%)

Memory: -4.7MiB live, 113.4MiB allocated
Compiler: Compiled 12 434 to 1 648 computations (86.7% saved)

prune12.0ms (0.2%)

Memory

0.5MiB live, 38.4MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	523	5	528
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	524	8	532

Accuracy

100.0%

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	64.0%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	68.2%	(/.f64 (.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
▶	91.5%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
▶	87.4%	(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
✓	49.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	49.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	53.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 172 to 103 computations (40.1% saved)

simplify426.0ms (7.1%)

Memory

-1.5MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	4	(.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	6	(/.f64 (.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
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	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(/.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff	8	(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
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	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x)
cost-diff	8	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	188
0	43	191
1	97	188
2	341	142
3	1942	142
0	8258	142

Stop Event

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

Calls

Call 1

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

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

localize318.0ms (5.3%)

Memory

7.2MiB live, 81.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.046875	(.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0625	(fma.f64 (*.f64 y x) y x)
accuracy	17.132333137629228	(/.f64 (.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.06640625	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
accuracy	2.6054934918362123	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
accuracy	17.132333137629228	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	0.03515625	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy	7.434978709073774	(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	0.12890625	(.f64 (.f64 y x) y)
accuracy	29.528068911319384	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.03515625	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy	2.1124068596100387	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x)
accuracy	3.2754675841809555	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))

Samples

177.0ms

256×

valid

Compiler

Compiled 391 to 52 computations (86.7% saved)

Precisions

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

ival-mult: 14.0ms (51.2% of total)

ival-div: 6.0ms (22% of total)

ival-add: 6.0ms (22% of total)

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

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.5%)

Memory

-24.3MiB live, 25.8MiB allocated

Counts

17 → 62

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (/ (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* y y) -1)) (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* (* y x) y) x))
4.0ms	x	@	-inf	((/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (/ (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* y y) -1)) (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* (* y x) y) x))
3.0ms	x	@	inf	((/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (/ (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* y y) -1)) (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* (* y x) y) x))
3.0ms	x	@	0	((/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (/ (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* y y) -1)) (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* (* y x) y) x))
2.0ms	y	@	-inf	((/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (/ (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* y y) -1)) (* (+ (* (* y x) y) x) (+ (* y y) -1)) (+ (* (* y x) y) x))

simplify215.0ms (3.6%)

Memory

18.2MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	565
1	556	524
2	2047	508
3	6718	508
0	8298	493

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 60

Calls

Call 1

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

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

rewrite461.0ms (7.7%)

Memory

16.8MiB live, 295.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	148
0	43	148
1	168	102
2	1432	102
0	8873	102

Stop Event

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

Counts

17 → 2 241

Calls

Call 1

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

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

eval187.0ms (3.1%)

Memory: 5.0MiB live, 351.4MiB allocated
Compiler: Compiled 48 970 to 4 555 computations (90.7% saved)

prune39.0ms (0.7%)

Memory

3.8MiB live, 92.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 524	1	1 525
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1 526	7	1 533

Accuracy

100.0%

Counts

1 533 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	68.2%	(/.f64 (.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
✓	91.5%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
▶	90.0%	(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
✓	49.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	49.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	53.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 85 to 54 computations (36.5% saved)

simplify135.0ms (2.3%)

Memory

-4.2MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
cost-diff	8	(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	14	30
1	27	30
2	69	30
3	192	24
4	661	22
5	1811	22
6	3473	22
7	6342	22
0	8069	22

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.5%)

Memory

4.9MiB live, 40.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	2.5996937468026435	(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
accuracy	6.024534323750011	(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 80 to 19 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (54.6% of total)

ival-div: 2.0ms (21.9% of total)

ival-sub: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

5 → 26

Calls

Call 1

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

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

Calls

6 calls:

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

simplify167.0ms (2.8%)

Memory

-22.1MiB live, 179.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	188
1	196	171
2	597	164
3	1869	164
4	7039	164
0	8087	156

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 24

Calls

Call 1

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

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

rewrite304.0ms (5.1%)

Memory

-29.7MiB live, 202.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
0	14	35
1	54	35
2	406	34
3	6796	34
0	8747	33

Stop Event

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

Counts

5 → 553

Calls

Call 1

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

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

eval69.0ms (1.1%)

Memory: 17.9MiB live, 92.6MiB allocated
Compiler: Compiled 15 712 to 1 743 computations (88.9% saved)

prune12.0ms (0.2%)

Memory

-3.4MiB live, 34.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	608	2	610
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	609	8	617

Accuracy

100.0%

Counts

617 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	68.2%	(/.f64 (.f64 (fma.f64 (.f64 y x) y x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
✓	91.5%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
	41.8%	(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))
	43.8%	(.f64 #s(approx (+ ( y y) 1) (.f64 y y)) (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
✓	49.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	49.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	53.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 278 to 120 computations (56.8% saved)

regimes23.0ms (0.4%)

Memory

-14.5MiB live, 28.9MiB allocated

Counts

13 → 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)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))
(.f64 #s(approx (+ ( y y) 1) (.f64 y y)) (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y x) y x) (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)) x) (fma.f64 y y #s(literal -1 binary64)))

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

Calls

5 calls:

8.0ms	y
4.0ms	x
4.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
3.0ms	(*.f64 y y)
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

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

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

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

Results

Accuracy	Segments	Branch
57.9%	2	`x`
98.8%	2	`y`
82.7%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
98.8%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

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

Results

Accuracy	Segments	Branch
49.9%	1	`x`
49.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
49.9%	1	`y`
49.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
49.9%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014187303888511148	2.77616570281519

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify18.0ms (0.3%)

Memory

-8.6MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	33	43
2	79	43
3	204	43
4	415	43
5	548	43
6	659	43
7	740	43
8	740	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y y) #s(literal 5764607523034235/288230376151711744 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 (*.f64 y y) #s(literal 5764607523034235/288230376151711744 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)))

soundness640.0ms (10.7%)

Memory

-4.0MiB live, 269.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
0	31	79
1	120	66
2	752	66
0	9397	64
0	15	41
1	46	41
2	114	41
3	474	41
4	3126	41
0	8249	36
0	6	15
0	9	15
1	41	15
2	288	15
3	2484	15
0	8451	13

Stop Event

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

Compiler

Compiled 80 to 47 computations (41.3% saved)

preprocess40.0ms (0.7%)

Memory

-3.4MiB live, 65.9MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 138 to 74 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (26.5%)

explain106.0ms (1.8%)

preprocess81.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify104.0ms (1.7%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

simplify169.0ms (2.8%)

rewrite164.0ms (2.7%)

eval30.0ms (0.5%)

prune4.0ms (0.1%)

simplify132.0ms (2.2%)

localize57.0ms (1%)

series16.0ms (0.3%)

simplify129.0ms (2.2%)

rewrite189.0ms (3.2%)

eval58.0ms (1%)

prune12.0ms (0.2%)

simplify426.0ms (7.1%)

localize318.0ms (5.3%)

series27.0ms (0.5%)

simplify215.0ms (3.6%)

rewrite461.0ms (7.7%)

eval187.0ms (3.1%)

prune39.0ms (0.7%)

simplify135.0ms (2.3%)

localize28.0ms (0.5%)

series4.0ms (0.1%)

simplify167.0ms (2.8%)

rewrite304.0ms (5.1%)

eval69.0ms (1.1%)

prune12.0ms (0.2%)

regimes23.0ms (0.4%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify18.0ms (0.3%)

soundness640.0ms (10.7%)

preprocess40.0ms (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