Metrics for Main:bigenough3 from C

analyze2.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-sqrt, time spent: 1.0ms, 115.0% of total-time

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

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

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

sample2.4s (37.6%)

Results

1.0s	4980×	256	valid
943.0ms	2024×	1024	valid
273.0ms	1116×	512	valid
38.0ms	135×	2048	valid
1.0ms	8×	256	invalid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-sqrt, time spent: 564.0ms, 41.0% of total-time

Operation ival-sub, time spent: 423.0ms, 31.0% of total-time

Operation ival-add, time spent: 370.0ms, 27.0% of total-time

Operation const, time spent: 22.0ms, 2.0% of total-time

Bogosity

preprocess411.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

168×	`fma-define`
132×	`fma-neg`
64×	`sub-neg`
44×	`unsub-neg`
40×	`associate--r+`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`
0	-	-	`(sqrt.f64 (+.f64 x 1))`
0	-	-	`x`
0	-	-	`(+.f64 x 1)`
0	-	-	`1`
0	-	-	`(sqrt.f64 x)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))

Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (neg.f64 x))))
(-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

Operation ival-sqrt, time spent: 36.0ms, 61.0% of total-time

Operation ival-add, time spent: 14.0ms, 24.0% of total-time

Operation ival-sub, time spent: 7.0ms, 12.0% of total-time

Operation const, time spent: 3.0ms, 5.0% 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
▶	55.9%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize70.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	55.9%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 20 to 13 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-sqrt, time spent: 18.0ms, 62.0% of total-time

Operation ival-add, time spent: 7.0ms, 24.0% of total-time

Operation ival-sub, time spent: 2.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series9.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.0ms	x	@	-inf	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms	x	@	0	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite222.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`prod-diff`
1116×	`unpow-prod-down`
822×	`fma-define`
614×	`log1p-expm1-u`
614×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	132	27
2	1756	27

Stop Event

1×	node limit

Counts

1 → 126

Calls

Call 1

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

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

eval57.0ms (0.9%)

Compiler: Compiled 2606 to 1663 computations (36.2% saved)

prune25.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	129	9	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Accuracy

100.0%

Counts

139 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.7%	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
	46.4%	(/.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x))) x)
▶	56.0%	(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
▶	55.3%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))) (sqrt.f64 x))
	54.3%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
▶	55.4%	(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
▶	53.4%	(-.f64 1 (sqrt.f64 x))
	49.7%	(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
▶	55.8%	(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))

Compiler

Compiled 210 to 164 computations (21.9% saved)

localize445.0ms (7%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.6%	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
✓	86.4%	(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
✓	55.9%	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	100.0%	(.f64 x (-.f64 (.f64 1/16 x) 1/8))
✓	100.0%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))) (sqrt.f64 x))
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))
✓	100.0%	(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
✓	99.8%	(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓	55.7%	(+.f64 x (-.f64 1 x))

Compiler

Compiled 179 to 117 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

Operation ival-mult, time spent: 53.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 50.0ms, 20.0% of total-time

Operation ival-add, time spent: 48.0ms, 19.0% of total-time

Operation ival-sub, time spent: 40.0ms, 16.0% of total-time

Operation ival-pow, time spent: 38.0ms, 15.0% of total-time

Operation const, time spent: 11.0ms, 4.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 2.0% of total-time

Operation ival-div, time spent: 3.0ms, 1.0% of total-time

series31.0ms (0.5%)

Counts

9 → 99

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
3.0ms	x	@	-inf	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
2.0ms	x	@	inf	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
2.0ms	x	@	-inf	(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
2.0ms	x	@	0	(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite130.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

336×	`associate-r`
245×	`log1p-expm1-u`
245×	`expm1-log1p-u`
240×	`add-cube-cbrt`
237×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	274
1	561	258

Stop Event

1×	node limit

Counts

9 → 391

Calls

Call 1

Inputs
(+.f64 x (-.f64 1 x))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))) (sqrt.f64 x))
(.f64 x (-.f64 (.f64 1/16 x) 1/8))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)

Outputs
(-.f64 1 (-.f64 x x))
(-.f64 (+.f64 x 1) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (+.f64 x -1) x)) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (+.f64 x -1) x)))
(*.f64 1 (+.f64 x (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 x (-.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (+.f64 x -1) x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x -1) x) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (+.f64 x -1) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (+.f64 x -1) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 2) (*.f64 (-.f64 1 x) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (-.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 x 2) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 x 2)) (+.f64 (+.f64 x 1) x))
(pow.f64 (+.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 1 x))) 1))
(fma.f64 1 x (-.f64 1 x))
(fma.f64 1 (-.f64 1 x) x)
(fma.f64 1 (+.f64 x 1) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (cbrt.f64 (-.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) x)
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (.f64 (sqrt.f64 x) 1))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (.f64 (sqrt.f64 x) 1)))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 x) 1))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (.f64 (sqrt.f64 x) 1)))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (.f64 (sqrt.f64 x) 1))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (.f64 (sqrt.f64 x) 1)))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1) (.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
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(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (/.f64 (+.f64 x (-.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (+.f64 x (-.f64 1 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 -1 (neg.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1) (.f64 (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) 1) (.f64 (+.f64 (+.f64 x -1) x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x (-.f64 1 x)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (fma.f64 x x (.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 (+.f64 x -1) x))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (-.f64 1 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (+.f64 x 1))) (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(.f64 (+.f64 x (-.f64 1 x)) (.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(/.f64 (pow.f64 (neg.f64 (+.f64 x (-.f64 1 x))) 3) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (+.f64 x (-.f64 1 x)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (fma.f64 x x x)))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))

eval206.0ms (3.2%)

Compiler: Compiled 10104 to 7178 computations (29% saved)

prune60.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	485	5	490
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	488	11	499

Accuracy

100.0%

Counts

499 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x))) x)
▶	99.8%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
▶	61.3%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
✓	55.3%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))) (sqrt.f64 x))
▶	54.3%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
✓	55.4%	(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
✓	53.4%	(-.f64 1 (sqrt.f64 x))
▶	55.3%	(+.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) (-.f64 1 (sqrt.f64 x)))
	55.4%	(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
	49.7%	(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
▶	3.6%	(*.f64 1/16 (pow.f64 x 3))

Compiler

Compiled 193 to 152 computations (21.2% saved)

localize226.0ms (3.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) (-.f64 1 (sqrt.f64 x)))
✓	99.9%	(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
✓	100.0%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
✓	100.0%	(+.f64 1 (sqrt.f64 x))
✓	99.7%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
✓	99.8%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

Compiler

Compiled 141 to 92 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

Operation ival-mult, time spent: 32.0ms, 26.0% of total-time

Operation ival-add, time spent: 30.0ms, 25.0% of total-time

Operation composed, time spent: 26.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 14.0ms, 11.0% of total-time

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

Operation ival-pow, time spent: 5.0ms, 4.0% of total-time

Operation ival-div, time spent: 4.0ms, 3.0% of total-time

Operation ival-sub, time spent: 4.0ms, 3.0% of total-time

series17.0ms (0.3%)

Counts

7 → 71

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
1.0ms	x	@	0	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
1.0ms	x	@	0	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

rewrite204.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log1p-expm1-u`
304×	`associate-r`
221×	`expm1-log1p-u`
217×	`add-cube-cbrt`
215×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	215
1	472	203
2	7173	203

Stop Event

1×	node limit

Counts

7 → 217

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 x))
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) (-.f64 1 (sqrt.f64 x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
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(*.f64 1 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)))
(*.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))))
(.f64 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 3) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))))
(.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 3) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1) (sqrt.f64 x)) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 3) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3)) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 3) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3)) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 2) (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (.f64 x (.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) (-.f64 1 (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2)) (+.f64 (-.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 3) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1)) (+.f64 x (.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 2) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1)) x) (+.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)))
(pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 1) (sqrt.f64 x))) 1))
(fma.f64 1 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (-.f64 1 (sqrt.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) x (-.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2) (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (-.f64 1 (sqrt.f64 x)))

eval113.0ms (1.8%)

Compiler: Compiled 5020 to 3637 computations (27.5% saved)

prune41.0ms (0.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	285	3	288
Fresh	0	3	3
Picked	2	3	5
Done	1	2	3
Total	288	11	299

Accuracy

100.0%

Counts

299 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x))) x)
✓	99.8%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓	61.3%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
▶	12.5%	(/.f64 1 (sqrt.f64 x))
✓	54.3%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
✓	55.4%	(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
✓	53.4%	(-.f64 1 (sqrt.f64 x))
▶	55.3%	(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))
▶	55.4%	(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
▶	49.7%	(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
▶	12.5%	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 158 to 125 computations (20.9% saved)

localize376.0ms (5.9%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))
✓	100.0%	(.f64 x (-.f64 (.f64 1/16 x) 1/8))
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))
✓	99.8%	(sqrt.f64 (/.f64 1 x))
✓	99.6%	(/.f64 1 (sqrt.f64 x))
✓	99.8%	(sqrt.f64 (/.f64 1 x))
✓	100.0%	(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))

Compiler

Compiled 117 to 78 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

Operation ival-mult, time spent: 221.0ms, 81.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 6.0% of total-time

Operation ival-sub, time spent: 13.0ms, 5.0% of total-time

Operation ival-div, time spent: 11.0ms, 4.0% of total-time

Operation ival-add, time spent: 7.0ms, 3.0% of total-time

Operation const, time spent: 5.0ms, 2.0% of total-time

series17.0ms (0.3%)

Counts

7 → 63

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 x))
1.0ms	x	@	-inf	(sqrt.f64 (/.f64 1 x))
1.0ms	x	@	-inf	(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
1.0ms	x	@	-inf	(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))

rewrite177.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1159×	`log1p-expm1-u`
652×	`expm1-log1p-u`
244×	`associate-r`
170×	`associate-l`
154×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	175
1	372	155
2	5136	155

Stop Event

1×	node limit

Counts

7 → 231

Calls

Call 1

Inputs
(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))
(.f64 x (-.f64 (.f64 1/16 x) 1/8))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))

Outputs
(-.f64 1 (-.f64 (sqrt.f64 x) (*.f64 x 1/2)))
(-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (-.f64 (.f64 x 1/2) 1) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 2) (+.f64 (-.f64 (*.f64 x 1/2) 1) (sqrt.f64 x))))
(*.f64 1 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(*.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) (sqrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x 1/2))))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 x 1/2) 1) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x 1/2)))) (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (.f64 x 1/2) 1) (sqrt.f64 x)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x 1/2)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 x 1/2) (-.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2)) (+.f64 (-.f64 (.f64 x 1/2) 1) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (-.f64 1 (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 (.f64 x 1/2) 1) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) (+.f64 x (.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (sqrt.f64 x)) 2) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (-.f64 1 (sqrt.f64 x)) (.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) x) (+.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(pow.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x))) 1))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (-.f64 1 (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 x))) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (.f64 x 1/2)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 x))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 x 1/4))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (/.f64 1 (pow.f64 x 3/2)) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(fabs.f64 (pow.f64 x -1/2))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2) (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (-.f64 1 (sqrt.f64 x)))

eval207.0ms (3.2%)

Compiler: Compiled 4865 to 3542 computations (27.2% saved)

prune40.0ms (0.6%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	371	3	374
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	373	12	385

Accuracy

100.0%

Counts

385 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.5%	(pow.f64 x -1/2)
✓	99.8%	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓	61.3%	(/.f64 1 (+.f64 1 (sqrt.f64 x)))
✓	12.5%	(/.f64 1 (sqrt.f64 x))
✓	54.3%	(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
✓	55.4%	(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
✓	53.4%	(-.f64 1 (sqrt.f64 x))
✓	55.3%	(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))
✓	55.4%	(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
	49.8%	(*.f64 1/2 (pow.f64 x -1/2))
	46.3%	(.f64 1/2 (exp.f64 (.f64 (neg.f64 (log.f64 x)) 1/2)))
✓	12.5%	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 285 to 207 computations (27.4% saved)

regimes17.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(-.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(*.f64 1/16 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(.f64 1/2 (exp.f64 (.f64 (neg.f64 (log.f64 x)) 1/2)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 x))) x)
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) (-.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))

Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

Calls

2 calls:

12.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes36.0ms (0.6%)

Counts

15 → 2

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(-.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(*.f64 1/16 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8))))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(.f64 1/2 (exp.f64 (.f64 (neg.f64 (log.f64 x)) 1/2)))

Outputs
(*.f64 1/2 (pow.f64 x -1/2))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x (-.f64 (*.f64 1/16 x) 1/8)))) (-.f64 1 (sqrt.f64 x)))

Calls

2 calls:

30.0ms	x
5.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(-.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(*.f64 1/16 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))

Outputs
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 -1/8 x)))) (sqrt.f64 x))
(*.f64 1/2 (pow.f64 x -1/2))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(-.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(*.f64 1/16 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (*.f64 x 1/2) (-.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(-.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(*.f64 1/16 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(-.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(*.f64 1/16 (pow.f64 x 3))

Outputs
(-.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
61.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes103.0ms (1.6%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))

Outputs
(pow.f64 x -1/2)

Calls

1 calls:

102.0ms

Results

Accuracy	Segments	Branch
12.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.173046808224171e-6	0.9850057611486931

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.00022826265264577574	3742588078.7552953

Results

19.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 222 to 179 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sqrt, time spent: 4.0ms, 63.0% of total-time

Operation ival-sub, time spent: 1.0ms, 16.0% of total-time

Operation ival-add, time spent: 1.0ms, 16.0% of total-time

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

bsearch25.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.00022826265264577574	3742588078.7552953

Results

22.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 182 to 149 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sqrt, time spent: 4.0ms, 64.0% of total-time

Operation ival-sub, time spent: 1.0ms, 16.0% of total-time

Operation ival-add, time spent: 1.0ms, 16.0% of total-time

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

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.00022826265264577574	3742588078.7552953

Results

18.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 142 to 119 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sqrt, time spent: 4.0ms, 63.0% of total-time

Operation ival-sub, time spent: 1.0ms, 16.0% of total-time

Operation ival-add, time spent: 1.0ms, 16.0% of total-time

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

bsearch30.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	fuel
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.00022826265264577574	3742588078.7552953

Results

24.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 234 to 185 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-sqrt, time spent: 10.0ms, 82.0% of total-time

Operation ival-sub, time spent: 1.0ms, 8.0% of total-time

Operation ival-add, time spent: 1.0ms, 8.0% of total-time

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

soundness368.0ms (5.8%)

Rules

1664×	`prod-diff`
1159×	`log1p-expm1-u`
1116×	`unpow-prod-down`
822×	`fma-define`
652×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	175
1	372	155
2	5136	155
0	11	27
1	132	27
2	1756	27
0	31	274
1	561	258

Stop Event

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

Compiler

Compiled 256 to 172 computations (32.8% saved)

end0.0ms (0%)

preprocess223.0ms (3.5%)

Compiler: Compiled 248 to 178 computations (28.2% saved)

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

analyze2.0ms (0%)

sample2.4s (37.6%)

preprocess411.0ms (6.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (1.1%)

series9.0ms (0.1%)

rewrite222.0ms (3.5%)

eval57.0ms (0.9%)

prune25.0ms (0.4%)

localize445.0ms (7%)

series31.0ms (0.5%)

rewrite130.0ms (2%)

eval206.0ms (3.2%)

prune60.0ms (0.9%)

localize226.0ms (3.5%)

series17.0ms (0.3%)

rewrite204.0ms (3.2%)

eval113.0ms (1.8%)

prune41.0ms (0.6%)

localize376.0ms (5.9%)

series17.0ms (0.3%)

rewrite177.0ms (2.8%)

eval207.0ms (3.2%)

prune40.0ms (0.6%)

regimes17.0ms (0.3%)

regimes36.0ms (0.6%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes103.0ms (1.6%)

bsearch0.0ms (0%)

bsearch23.0ms (0.4%)

bsearch25.0ms (0.4%)

bsearch23.0ms (0.4%)

bsearch30.0ms (0.5%)

soundness368.0ms (5.8%)

end0.0ms (0%)

preprocess223.0ms (3.5%)

Profiling

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116