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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample952.0ms (20.6%)

Memory

-0.8MiB live, 1 330.0MiB allocated; 245ms collecting garbage

Samples

648.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult: 249.0ms (69.6% of total)

ival-add: 92.0ms (25.7% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain71.0ms (1.5%)

Memory

-12.3MiB live, 186.4MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(.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**	16	0

Confusion

	Predicted +	Predicted -
+	16	0
-	0	240

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	0	0	240

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (65.5% of total)

ival-add: 2.0ms (18.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess57.0ms (1.2%)

Memory

6.9MiB live, 56.0MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify14.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	3.747308455734853	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (60.4% of total)

ival-add: 1.0ms (20.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series57.0ms (1.2%)

Memory

-36.2MiB live, 8.1MiB allocated; 8ms collecting garbage

Counts

3 → 9

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	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	y	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))

simplify126.0ms (2.7%)

Memory

12.0MiB live, 100.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

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

rewrite217.0ms (4.7%)

Memory

19.6MiB live, 320.4MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 242

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
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eval30.0ms (0.7%)

Memory: -17.8MiB live, 74.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 505 to 801 computations (87.7% saved)

prune5.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	242	5	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	243	5	248

Accuracy

100.0%

Counts

248 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	68.8%	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	53.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	44.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 92 to 70 computations (23.9% saved)

simplify161.0ms (3.5%)

Memory

-9.7MiB live, 128.5MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	99
0	33	98
1	63	98
2	138	98
3	362	98
4	830	98
5	1705	98
6	3549	98
7	5144	98
0	8198	96

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (1.1%)

Memory

1.2MiB live, 46.6MiB allocated; 5ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	1.9014158521898221	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy	15.767072881139502	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	3.747308455734853	(fma.f64 (*.f64 y y) x x)
accuracy	0.0	(*.f64 y y)
accuracy	5.999345567995487	(.f64 (.f64 y y) x)
accuracy	31.619793220906793	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
accuracy	3.747308455734853	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	30.08195909654487	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.0859375	(fma.f64 (*.f64 x y) y x)

Samples

39.0ms

256×

valid

Compiler

Compiled 95 to 20 computations (78.9% saved)

Precisions

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

ival-mult: 16.0ms (60.4% of total)

ival-add: 4.0ms (15.1% of total)

ival-pow: 3.0ms (11.3% of total)

ival-div: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

12 → 21

Calls

Call 1

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

Outputs
(* x (+ 1 (pow y 2)))
(* x y)
(* x (pow y 2))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(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
3.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))

simplify157.0ms (3.4%)

Memory

-3.3MiB live, 184.6MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	112
1	99	112
2	235	112
3	781	112
4	3255	112
0	8457	105

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

rewrite250.0ms (5.4%)

Memory

-30.7MiB live, 331.7MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
0	33	72
1	135	72
2	766	72
0	9343	70

Stop Event

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

Counts

12 → 984

Calls

Call 1

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

Outputs
(.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 #s(literal 1 binary64) y)))
(.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 #s(literal 1 binary64) y))
(.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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 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 (-.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 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 y x) y x)) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 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 (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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (fma.f64 (.f64 y x) y x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y #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))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #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 #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 #s(literal 1 binary64) (pow.f64 y #s(literal 4 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 12 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
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(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 y y) (.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 y y) (.f64 (.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 y y) (.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(fma.f64 (.f64 y y) (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(fma.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (.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)))) (fma.f64 y y #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 (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 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (neg.f64 y) (.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y y) (.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))))
(.f64 (.f64 y y) (.f64 (.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))))
(.f64 (.f64 y y) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(.f64 y (.f64 (.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 y) y)))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 y #s(literal 8 binary64)))
(fabs.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))

eval62.0ms (1.4%)

Memory: -2.5MiB live, 140.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 12 579 to 1 665 computations (86.8% saved)

prune12.0ms (0.3%)

Memory

-2.2MiB live, 44.3MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	543	3	546
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	545	6	551

Accuracy

100.0%

Counts

551 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
▶	86.8%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
▶	82.4%	(*.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)))
✓	53.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	44.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	50.5%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 70 to 49 computations (30% saved)

simplify126.0ms (2.7%)

Memory

29.5MiB live, 171.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
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)))
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y))
cost-diff	2	(*.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)))
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))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	36	111
1	70	111
2	142	111
3	424	101
4	1264	101
5	3357	101
6	6171	101
0	8089	101

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (2.7%)

Memory

-23.0MiB live, 121.1MiB allocated; 16ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
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	3.5382850971441266	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x)
accuracy	4.855314879570758	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy	2.3450115952412363	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y))
accuracy	9.474071704961588	(*.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)))
accuracy	0.0	(*.f64 y x)
accuracy	0.1484375	(.f64 (.f64 y x) y)
accuracy	31.619793220906793	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Samples

107.0ms

256×

valid

Compiler

Compiled 112 to 23 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 17.0ms (34.3% of total)

ival-sub: 14.0ms (28.2% of total)

ival-div: 7.0ms (14.1% of total)

ival-add: 7.0ms (14.1% of total)

ival-pow: 4.0ms (8.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory

-5.3MiB live, 37.7MiB allocated; 11ms collecting garbage

Counts

14 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (- 1 (pow y 4)) (pow y 4) (/ (* (* (+ (* 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)) (+ 1 y) (- y 1))
5.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (- 1 (pow y 4)) (pow y 4) (/ (* (* (+ (* 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)) (+ 1 y) (- y 1))
3.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (- 1 (pow y 4)) (pow y 4) (/ (* (* (+ (* 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)) (+ 1 y) (- y 1))
3.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (- 1 (pow y 4)) (pow y 4) (/ (* (* (+ (* 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)) (+ 1 y) (- y 1))
3.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (- 1 (pow y 4)) (pow y 4) (/ (* (* (+ (* 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)) (+ 1 y) (- y 1))

simplify182.0ms (3.9%)

Memory

22.9MiB live, 256.2MiB allocated; 60ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	607
1	546	560
2	1941	546
3	6336	544
0	8797	524

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

Calls

Call 1

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

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

rewrite199.0ms (4.3%)

Memory

-14.7MiB live, 318.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	100
0	36	100
1	143	81
2	1026	74
0	10780	74

Stop Event

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

Counts

14 → 1 704

Calls

Call 1

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

Outputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
(.f64 (.f64 (neg.f64 y) x) (neg.f64 y))
(.f64 (.f64 (*.f64 y x) y) #s(literal 1 binary64))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.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) x) y))
(neg.f64 (.f64 x (.f64 (neg.f64 y) y)))
(neg.f64 (.f64 (.f64 (neg.f64 y) y) x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 x y)
(.f64 (.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 (/.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) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal -1 binary64))
(expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(expm1.f64 (log.f64 y))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (neg.f64 y) #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 (.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (fma.f64 y y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y y)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y y)))
(+.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal -1 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal -1 binary64))

eval310.0ms (6.7%)

Memory: 28.2MiB live, 487.6MiB allocated; 85ms collecting garbage
Compiler: Compiled 42 799 to 4 790 computations (88.8% saved)

prune30.0ms (0.6%)

Memory

-0.7MiB live, 100.1MiB allocated; 18ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 615	2	1 617
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	1 617	6	1 623

Accuracy

100.0%

Counts

1 623 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
▶	37.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
▶	33.6%	(*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	53.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	44.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	50.5%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 80 to 58 computations (27.5% saved)

simplify139.0ms (3%)

Memory

24.5MiB live, 210.3MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	117
0	33	117
1	58	117
2	103	117
3	181	111
4	246	109
5	249	109
6	392	109
7	867	109
8	2715	109
9	4502	109
10	7438	109
0	8213	105

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1.6%)

Memory

14.2MiB live, 105.1MiB allocated; 8ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.f64 #s(approx (+ ( y y) 1) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))
accuracy	3.5382850971441266	(.f64 (.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) x)
accuracy	4.855314879570758	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
accuracy	31.916779388215115	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy	9.474071704961588	(*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
accuracy	32.79368367808459	#s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 22.0ms (47.9% of total)

ival-mult: 8.0ms (17.4% of total)

ival-div: 6.0ms (13.1% of total)

ival-sub: 5.0ms (10.9% of total)

ival-add: 3.0ms (6.5% of total)

ival-neg: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-34.2MiB live, 19.3MiB allocated; 11ms collecting garbage

Counts

9 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (pow (neg y) 3) (neg y) (/ (* (* (+ (* 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)))
2.0ms	x	@	-inf	((* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (pow (neg y) 3) (neg y) (/ (* (* (+ (* 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)))
2.0ms	y	@	inf	((* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (pow (neg y) 3) (neg y) (/ (* (* (+ (* 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)))
2.0ms	x	@	inf	((* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (pow (neg y) 3) (neg y) (/ (* (* (+ (* 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)))
2.0ms	y	@	-inf	((* (/ (- 1 (pow y 4)) (+ 1 y)) (/ x (- 1 y))) (/ (- 1 (pow y 4)) (+ 1 y)) (pow (neg y) 3) (neg y) (/ (* (* (+ (* 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)))

simplify342.0ms (7.4%)

Memory

13.2MiB live, 262.5MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	560
1	519	514
2	1903	500
3	6228	498
0	8589	478

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

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

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

rewrite178.0ms (3.8%)

Memory

-22.4MiB live, 159.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	33	101
1	124	101
2	724	98
0	9399	92

Stop Event

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

Counts

9 → 379

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (neg.f64 x) (/.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (/.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (-.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (*.f64 x #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
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eval85.0ms (1.8%)

Memory: 10.2MiB live, 96.9MiB allocated; 15ms collecting garbage
Compiler: Compiled 13 350 to 1 195 computations (91% saved)

prune10.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	422	7	429

Accuracy

100.0%

Counts

429 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
✓	37.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
	34.7%	(*.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) #s(approx (/ x (- 1 y)) (/.f64 (neg.f64 x) y)))
	33.6%	(.f64 #s(approx (/ (- 1 (pow y 4)) (+ 1 y)) (.f64 (*.f64 (neg.f64 y) y) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	53.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	44.7%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	50.5%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 288 to 139 computations (51.7% saved)

regimes36.0ms (0.8%)

Memory

-27.7MiB live, 34.0MiB allocated; 9ms collecting garbage

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

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

Calls

5 calls:

21.0ms	x
4.0ms	y
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	`(*.f64 y y)`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(*.f64 y y)`
98.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
79.8%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
60.0%	4	`x`
98.6%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes9.0ms (0.2%)

Memory

-28.0MiB live, 16.3MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(*.f64 y y)
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	y
1.0ms	x
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
53.3%	1	`x`
53.3%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
53.3%	1	`(*.f64 y y)`
53.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
53.3%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch10.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.03735372149289421	1.4103268070037294

Samples

4.0ms

112×

valid

Compiler

Compiled 164 to 144 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (44.7% of total)

ival-mult: 1.0ms (44.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify22.0ms (0.5%)

Memory

1.5MiB live, 44.9MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations409.0ms (8.9%)

Memory

-44.6MiB live, 505.4MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
0	33	72
1	135	72
2	766	72
0	9343	70
0	6	15
0	9	15
1	41	15
2	288	15
3	2484	15
0	8451	13
0	15	41
1	46	41
2	114	41
3	474	41
4	3126	41
0	8249	36

Stop Event

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

Compiler

Compiled 41 to 16 computations (61% saved)

preprocess34.0ms (0.7%)

Memory

30.1MiB live, 74.8MiB allocated; 4ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 70 computations (47.8% saved)

end0.0ms (0%)

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

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

Iter	Nodes	Cost
0	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%)

sample952.0ms (20.6%)

explain71.0ms (1.5%)

preprocess57.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.3%)

localize16.0ms (0.3%)

series57.0ms (1.2%)

simplify126.0ms (2.7%)

rewrite217.0ms (4.7%)

eval30.0ms (0.7%)

prune5.0ms (0.1%)

simplify161.0ms (3.5%)

localize50.0ms (1.1%)

series15.0ms (0.3%)

simplify157.0ms (3.4%)

rewrite250.0ms (5.4%)

eval62.0ms (1.4%)

prune12.0ms (0.3%)

simplify126.0ms (2.7%)

localize122.0ms (2.7%)

series24.0ms (0.5%)

simplify182.0ms (3.9%)

rewrite199.0ms (4.3%)

eval310.0ms (6.7%)

prune30.0ms (0.6%)

simplify139.0ms (3%)

localize72.0ms (1.6%)

series16.0ms (0.3%)

simplify342.0ms (7.4%)

rewrite178.0ms (3.8%)

eval85.0ms (1.8%)

prune10.0ms (0.2%)

regimes36.0ms (0.8%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch10.0ms (0.2%)

simplify22.0ms (0.5%)

derivations409.0ms (8.9%)

preprocess34.0ms (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