Metrics for arccos

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

Precisions

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

Operation ival-sqrt, time spent: 1.0ms, 39.0% of total-time

Operation ival-atan, time spent: 1.0ms, 39.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.5s (30.2%)

Results

1.4s	8255×	256	valid
0.0ms	4×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 758.0ms

Operation ival-atan, time spent: 213.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 199.0ms, 26.0% of total-time

Operation ival-sub, time spent: 122.0ms, 16.0% of total-time

Operation ival-div, time spent: 82.0ms, 11.0% of total-time

Operation ival-mult, time spent: 71.0ms, 9.0% of total-time

Operation ival-add, time spent: 49.0ms, 6.0% of total-time

Operation const, time spent: 21.0ms, 3.0% of total-time

Bogosity

preprocess275.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-define`
448×	`fma-neg`
160×	`times-frac`
136×	`associate-l`
122×	`div-sub`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 1 x)`
-	-	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
-	-	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
-	-	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
-	-	`(/.f64 (-.f64 1 x) (+.f64 1 x))`
-	-	`(-.f64 1 x)`
-	-	`2`
-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	164
1	50	156
2	81	156
3	149	156
4	285	156
5	628	156
6	1293	156
7	1538	156
8	1618	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))))))
(neg.f64 (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)))))))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(neg.f64 (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)))))))
(*.f64 -2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -2)

Compiler

Compiled 104 to 80 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

Operation ival-atan, time spent: 35.0ms, 32.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 18.0% of total-time

Operation ival-div, time spent: 16.0ms, 15.0% of total-time

Operation ival-sub, time spent: 16.0ms, 15.0% of total-time

Operation ival-add, time spent: 13.0ms, 12.0% of total-time

Operation ival-mult, time spent: 7.0ms, 6.0% of total-time

Operation const, time spent: 4.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize99.0ms (2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
✓	100.0%	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
✓	100.0%	(/.f64 (-.f64 1 x) (+.f64 1 x))

Compiler

Compiled 46 to 35 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-add, time spent: 14.0ms, 25.0% of total-time

Operation ival-atan, time spent: 12.0ms, 22.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 18.0% of total-time

Operation ival-div, time spent: 7.0ms, 13.0% of total-time

Operation ival-sub, time spent: 7.0ms, 13.0% of total-time

Operation ival-mult, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

series7.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	x	@	-inf	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms	x	@	0	(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms	x	@	-inf	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite493.0ms (10.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`unpow-prod-down`
784×	`log1p-expm1-u`
784×	`expm1-log1p-u`
760×	`log-prod`
642×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	156	87
2	2108	87

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Outputs
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2) (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (pow.f64 x 2))) (.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (*.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
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(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(.f64 (pow.f64 (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3) (pow.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2))
(.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2) (pow.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (neg.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 1 (fma.f64 -1 x -1)) 1/2))
(.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/2) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (-.f64 1 x)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (-.f64 x 1) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/3) (pow.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))

eval290.0ms (6%)

Compiler: Compiled 9693 to 7756 computations (20% saved)

prune55.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	325	6	331
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	325	7	332

Accuracy

100.0%

Counts

332 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
▶	100.0%	(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))
▶	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
▶	99.6%	(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶	98.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 154 to 132 computations (14.3% saved)

localize424.0ms (8.7%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/2 x))) 1))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 -1/2 x)))
✓	100.0%	(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/2 x))) 1))))
✓	100.0%	(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1))))
✓	100.0%	(.f64 x (-.f64 (.f64 1/2 x) 1))
✓	100.0%	(atan.f64 (+.f64 1 (*.f64 -1 x)))
✓	100.0%	(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	100.0%	(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
✓	100.0%	(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 227 to 179 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

Operation ival-mult, time spent: 70.0ms, 31.0% of total-time

Operation ival-atan, time spent: 54.0ms, 24.0% of total-time

Operation ival-add, time spent: 31.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 23.0ms, 10.0% of total-time

Operation ival-sub, time spent: 21.0ms, 9.0% of total-time

Operation ival-div, time spent: 19.0ms, 8.0% of total-time

Operation const, time spent: 11.0ms, 5.0% of total-time

series24.0ms (0.5%)

Counts

10 → 92

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 1/2 x) 1))
1.0ms	x	@	inf	(.f64 x (-.f64 (.f64 1/2 x) 1))
1.0ms	x	@	inf	(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	x	@	inf	(.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/2 x))) 1))

rewrite93.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

364×	`associate-r`
252×	`associate-l`
243×	`log1p-expm1-u`
243×	`expm1-log1p-u`
237×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	295
1	547	269

Stop Event

1×	node limit

Counts

10 → 264

Calls

Call 1

Inputs
(/.f64 (+.f64 1 x) (-.f64 1 x))
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(.f64 x (-.f64 (.f64 1/2 x) 1))
(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1))))
(atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/2 x))) 1))))
(.f64 x (+.f64 1/2 (.f64 -1/2 x)))
(.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/2 x))) 1))

Outputs
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) -2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (/.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) -1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) -1)
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 x))) -1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) (/.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) -1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1/4) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 x))) -1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (+.f64 1 x)))
(*.f64 (atan.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 x))) 2) (cbrt.f64 (atan.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 1 x))) (sqrt.f64 (atan.f64 (+.f64 1 x))))
(pow.f64 (atan.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 1 x))) 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(-.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 1)
(/.f64 (.f64 x (+.f64 (.f64 1/8 (pow.f64 x 3)) -1)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 1)))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 2) 1/4) -1)) (fma.f64 x 1/2 1))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) -1) x) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 1)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) -1) x) (fma.f64 x 1/2 1))
(pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/2 -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))) 1)
(*.f64 1 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))
(*.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)))) 1)
(*.f64 1 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)))
(*.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))) (cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 2)) (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))) (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))))
(pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 2))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1))) 1))
(+.f64 (.f64 x 1/2) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 x 1/2))
(-.f64 (fma.f64 x (fma.f64 x -1/2 1/2) 1) 1)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 -1/2 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 -1/2 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 1/8 (pow.f64 x 3)) 1/8)) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/4 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/4))) (fma.f64 x -1/2 1/2))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) 1/8) x) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/4 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/4)) x) (fma.f64 x -1/2 1/2))
(pow.f64 (*.f64 x (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/2 1/2))) 1))
(fma.f64 1 (.f64 x 1/2) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x 1/2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 x (.f64 x (fma.f64 x -1/2 1/2))) x)
(+.f64 (.f64 (.f64 x (fma.f64 x -1/2 1/2)) x) x)
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1) 1) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1/2)) 2) (fma.f64 x (fma.f64 x -1/2 1/2) 1)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 1/2)) 2) -1)) (fma.f64 x (fma.f64 x -1/2 1/2) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 1/2)) 2) (fma.f64 x (fma.f64 x -1/2 1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -1/2 1/2) 1))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 1/2) -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -1/2 1/2) -1))) 1))

eval146.0ms (3%)

Compiler: Compiled 6041 to 5127 computations (15.1% saved)

prune44.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	354	2	356
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	356	7	363

Accuracy

100.0%

Counts

363 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
▶	99.6%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
▶	99.6%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))
✓	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	98.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 76 to 65 computations (14.5% saved)

localize211.0ms (4.3%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 1 x))
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
✓	100.0%	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
✓	100.0%	(sqrt.f64 (+.f64 1 x))
✓	100.0%	(atan.f64 (/.f64 1 (+.f64 1 x)))
✓	100.0%	(/.f64 1 (+.f64 1 x))
✓	100.0%	(atan.f64 (-.f64 1 x))

Compiler

Compiled 91 to 71 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

Operation ival-atan, time spent: 38.0ms, 34.0% of total-time

Operation ival-sqrt, time spent: 26.0ms, 23.0% of total-time

Operation ival-sub, time spent: 14.0ms, 12.0% of total-time

Operation ival-add, time spent: 13.0ms, 12.0% of total-time

Operation ival-div, time spent: 11.0ms, 10.0% of total-time

Operation ival-mult, time spent: 6.0ms, 5.0% of total-time

Operation const, time spent: 4.0ms, 4.0% of total-time

series16.0ms (0.3%)

Counts

7 → 68

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(sqrt.f64 (+.f64 1 x))
1.0ms	x	@	inf	(sqrt.f64 (-.f64 1 x))
1.0ms	x	@	inf	(sqrt.f64 (+.f64 1 x))
1.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 x))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 x))

rewrite143.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1061×	`log1p-expm1-u`
1061×	`expm1-log1p-u`
418×	`prod-diff`
398×	`fma-define`
376×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	140
1	238	140
2	3012	140

Stop Event

1×	node limit

Counts

7 → 168

Calls

Call 1

Inputs
(atan.f64 (-.f64 1 x))
(/.f64 1 (+.f64 1 x))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (-.f64 1 x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 -1 (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(fabs.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (hypot.f64 1 (sqrt.f64 x))))
(.f64 (cbrt.f64 (-.f64 1 x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (hypot.f64 1 (sqrt.f64 x))))
(.f64 (pow.f64 (-.f64 1 x) 1/4) (.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (hypot.f64 1 (hypot.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 x))) 1))

eval83.0ms (1.7%)

Compiler: Compiled 3686 to 3153 computations (14.5% saved)

prune31.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	234	2	236
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	235	8	243

Accuracy

100.0%

Counts

243 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 2 (atan.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))))
✓	99.6%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	99.6%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))
✓	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
▶	99.6%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	98.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 92 to 78 computations (15.2% saved)

localize284.0ms (5.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))
✓	100.0%	(.f64 x (-.f64 (.f64 -1/8 x) 1/2))
✓	100.0%	(atan.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x))))
✓	100.0%	(sqrt.f64 (+.f64 1 x))
✓	100.0%	(*.f64 x (-.f64 x 1))
✓	100.0%	(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))

Compiler

Compiled 120 to 92 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

Operation ival-mult, time spent: 60.0ms, 42.0% of total-time

Operation ival-atan, time spent: 25.0ms, 17.0% of total-time

Operation ival-add, time spent: 17.0ms, 12.0% of total-time

Operation ival-sub, time spent: 15.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 9.0% of total-time

Operation ival-div, time spent: 9.0ms, 6.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

series18.0ms (0.4%)

Counts

6 → 62

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(.f64 x (-.f64 (.f64 -1/8 x) 1/2))
1.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 -1/8 x) 1/2))
1.0ms	x	@	-inf	(atan.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x))))

rewrite169.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`prod-diff`
925×	`log1p-expm1-u`
202×	`associate-r`
149×	`expm1-log1p-u`
148×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	179
1	332	167
2	4630	167

Stop Event

1×	node limit

Counts

6 → 192

Calls

Call 1

Inputs
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(*.f64 x (-.f64 x 1))
(sqrt.f64 (+.f64 1 x))
(atan.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x))))
(.f64 x (-.f64 (.f64 -1/8 x) 1/2))
(/.f64 (+.f64 1 (.f64 x (-.f64 (.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))) 1)
(*.f64 1 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 2))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 1))
(+.f64 (*.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (*.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (*.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (*.f64 x (+.f64 x -1)) (fma.f64 -1 x x))
(+.f64 (*.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(+.f64 (pow.f64 x 2) (*.f64 x -1))
(+.f64 (pow.f64 x 2) (*.f64 -1 x))
(+.f64 (pow.f64 x 2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(+.f64 (pow.f64 x 2) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 x)) (fma.f64 -1 x x))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 (.f64 (.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (pow.f64 x 2) (neg.f64 (.f64 (.f64 (sqrt.f64 x) 1) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) 1)) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) 1) (sqrt.f64 x))))
(+.f64 (fma.f64 x x (neg.f64 (.f64 (.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 x x (neg.f64 (.f64 (.f64 (sqrt.f64 x) 1) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) 1)) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) 1) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x)) (fma.f64 -1 x x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (neg.f64 (.f64 (.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (neg.f64 (.f64 (.f64 (sqrt.f64 x) 1) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) 1)) (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) 1) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1)) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) 2) (+.f64 1 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) (sqrt.f64 (+.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) 3) (pow.f64 (+.f64 1 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) 1) (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (-.f64 (log1p.f64 (.f64 x (fma.f64 x -1/8 -1/2))) (.f64 1/2 (log1p.f64 x))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (.f64 x (fma.f64 x -1/8 -1/2))) (*.f64 1/2 (log1p.f64 x))) 1))

eval127.0ms (2.6%)

Compiler: Compiled 5370 to 4082 computations (24% saved)

prune45.0ms (0.9%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	254	8	262

Accuracy

100.0%

Counts

262 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 2 (atan.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))))
✓	99.6%	(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓	99.6%	(*.f64 2 (atan.f64 (-.f64 1 x)))
✓	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))
✓	99.8%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
✓	99.6%	(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))
✓	100.0%	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓	98.7%	(*.f64 2 (atan.f64 1))

Compiler

Compiled 210 to 177 computations (15.7% saved)

regimes74.0ms (1.5%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(.f64 2 (atan.f64 (/.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 -1/8 x) 1/2))) (sqrt.f64 (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))

Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))

Calls

5 calls:

59.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
7.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
100.0%	1	`(/.f64 (-.f64 1 x) (+.f64 1 x))`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes15.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

Calls

5 calls:

6.0ms	x
2.0ms	(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))`
100.0%	1	`(/.f64 (-.f64 1 x) (+.f64 1 x))`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes5.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))

Outputs
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (.f64 -1/2 x))) 1)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))

Outputs
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 (*.f64 1/2 x) 1)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))

Outputs
(.f64 2 (atan.f64 (+.f64 1 (.f64 x (-.f64 x 1)))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(.f64 2 (atan.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))

Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Stop Event

1×

done

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 2 (atan.f64 1))

Outputs
(*.f64 2 (atan.f64 1))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 81 to 68 computations (16% saved)

soundness123.0ms (2.5%)

Rules

1528×	`unpow-prod-down`
784×	`log1p-expm1-u`
784×	`expm1-log1p-u`
760×	`log-prod`
642×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	156	87
2	2108	87

Stop Event

1×	node limit

Compiler

Compiled 52 to 44 computations (15.4% saved)

end0.0ms (0%)

preprocess72.0ms (1.5%)

Compiler: Compiled 170 to 142 computations (16.5% saved)

analyze5.0ms (0.1%)

sample1.5s (30.2%)

preprocess275.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize99.0ms (2%)

series7.0ms (0.1%)

rewrite493.0ms (10.2%)

eval290.0ms (6%)

prune55.0ms (1.1%)

localize424.0ms (8.7%)

series24.0ms (0.5%)

rewrite93.0ms (1.9%)

eval146.0ms (3%)

prune44.0ms (0.9%)

localize211.0ms (4.3%)

series16.0ms (0.3%)

rewrite143.0ms (2.9%)

eval83.0ms (1.7%)

prune31.0ms (0.6%)

localize284.0ms (5.8%)

series18.0ms (0.4%)

rewrite169.0ms (3.5%)

eval127.0ms (2.6%)

prune45.0ms (0.9%)

regimes74.0ms (1.5%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

soundness123.0ms (2.5%)

end0.0ms (0%)

preprocess72.0ms (1.5%)

Profiling