Metrics for Hyperbolic arcsine

analyze73.0ms (1.4%)

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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.6s (50.1%)

Results

1.2s	2652×	body	1024	valid
514.0ms	1196×	body	2048	valid
410.0ms	1287×	body	512	valid
394.0ms	3086×	body	256	valid
20.0ms	35×	body	4096	valid

Bogosity

preprocess422.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-+r-`
596×	`fma-def`
468×	`associate-+l-`
453×	`associate-+r+`
399×	`associate--l+`

Problems

141×	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
51×	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`
36×	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`
28×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	42	96
2	66	96
3	128	96
4	242	96
5	351	96
6	414	96
7	504	96
8	681	96
9	1049	96
10	2456	96
11	3813	96
12	4433	96
13	4609	96
14	4654	96
15	4674	96
16	4674	96
17	4705	96
18	4705	96
19	7295	96
20	7484	96

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize122.0ms (2.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	75.5%	(+.f64 x (hypot.f64 1 x))
✓	49.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	0	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 x (hypot.f64 1 x))
0.0ms	x	@	inf	(+.f64 x (hypot.f64 1 x))

rewrite219.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`associate-l`
365×	`*-un-lft-identity`
311×	`frac-times`
208×	`*-commutative`
181×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	99	42
2	1193	42

Stop Event

1×	node limit

Counts

2 → 202

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)))
(.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4))
(.f64 (sqrt.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (.f64 (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))) (+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x))))) (+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) 3)) (+.f64 (.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (.f64 (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))))) (.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (+.f64 (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
(-.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)) (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(.f64 (+.f64 x (hypot.f64 1 x)) (.f64 (-.f64 x (hypot.f64 1 x)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) 1))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (/.f64 1 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) 1))
(.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))) (.f64 (+.f64 x (hypot.f64 1 x)) (/.f64 1 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))
(.f64 (/.f64 1 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))) (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (.f64 (sqrt.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x)))) (.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))) (+.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) 3) (pow.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x)))) (+.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x)))) (*.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 1 (pow.f64 x 2)))) (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) 1) (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))) (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) 1) (.f64 (+.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)) 1) (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (neg.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)

simplify193.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-r`
366×	`associate-l`
362×	`associate-/l*`
310×	`*-commutative`
233×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	1567
1	1918	1567

Stop Event

1×	node limit

Counts

226 → 233

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)))
(.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4))
(.f64 (sqrt.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (.f64 (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) (log.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))) (+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x))))) (+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))
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(/.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)) 1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (*.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (/.f64 (-.f64 x (hypot.f64 1 x)) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 x (hypot.f64 1 x)) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) (/.f64 1 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (*.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))) (cbrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (.f64 (sqrt.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x)))) (.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))) (+.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) 3) (pow.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x)))) (+.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x)))) (*.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 1 (pow.f64 x 2)))) (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) 1) (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (hypot.f64 1 x) 4) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))) (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (hypot.f64 1 x) 4)) 1) (.f64 (+.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)) 1) (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (neg.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)

Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
x
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
x
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
x
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
1
x
(+.f64 1 x)
x
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
x
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
x
(*.f64 2 x)
x
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
x
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
x
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
x
(/.f64 -1/2 x)
x
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
x
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
x
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
x
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
x
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
x
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
x
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))
x
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
x
(+.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
x
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
x
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
x
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (neg.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
x
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
x
(/.f64 (sqrt.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
x
(/.f64 (sqrt.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))))))
x
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
x
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
x
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
x
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
x
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
x
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
x
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
x
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
x
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
x
(neg.f64 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
x
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x))))))))
x
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
x
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
x
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
x
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
x
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
x
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
x
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
x
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
x
(fma.f64 1 x (hypot.f64 1 x))
x
(fma.f64 1 (hypot.f64 1 x) x)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
x
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
x
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
x

eval203.0ms (3.9%)

Compiler: Compiled 5838 to 4416 computations (24.4% saved)

prune47.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	227	6	233
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	227	7	234

Accuracy

100.0%

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
▶	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
▶	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x
▶	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
▶	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
▶	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x

Compiler

Compiled 226 to 168 computations (25.7% saved)

localize255.0ms (4.9%)

Compiler: Compiled 166 to 115 computations (30.7% saved)

eval0.0ms (0%)

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

prune7.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	5	5
Done	1	1
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
✓	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x
✓	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
✓	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x

Compiler

Compiled 122 to 90 computations (26.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
✓	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x
✓	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
✓	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x

Compiler

Compiled 122 to 90 computations (26.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.3%	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
✓	55.3%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	74.5%	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	24.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	19.8%	(log.f64 (*.f64 2 x))
	57.0%	x

Compiler

Compiled 125 to 90 computations (28% saved)

regimes35.0ms (0.7%)

Counts

8 → 2

Calls

Call 1

Inputs
x
(log.f64 (*.f64 2 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))))))

Outputs
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

Calls

3 calls:

14.0ms	x
12.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
91.2%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
91.2%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 85 to 59 computations (30.6% saved)

regimes14.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 2 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (*.f64 2 x))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes11.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(log.f64 (*.f64 2 x))
(log.f64 (/.f64 -1/2 x))

Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (*.f64 2 x))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log.f64 (*.f64 2 x))

Outputs
x
(log.f64 (*.f64 2 x))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
75.1%	2	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
57.0%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch30.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-14145662266.071726	-0.03201045726908594

Results

28.0ms

160×

body

256

valid

Compiler

Compiled 174 to 140 computations (19.5% saved)

bsearch50.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	8.303115925843579e-7	68101387088.30006
22.0ms	-14145662266.071726	-0.03201045726908594

Results

45.0ms

320×

body

256

valid

Compiler

Compiled 314 to 250 computations (20.4% saved)

bsearch46.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	8.303115925843579e-7	68101387088.30006
21.0ms	-14145662266.071726	-0.03201045726908594

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 194 to 150 computations (22.7% saved)

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	8.303115925843579e-7	68101387088.30006

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 104 to 80 computations (23.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`1-exp`
3×	`*-commutative`
2×	`distribute-lft-neg-out`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	222
1	47	222
2	51	222
3	55	222
4	58	222
5	62	222

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -9500) (log.f64 (/.f64 -1/2 x)) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (.f64 2 x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 2 x))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 2 x)))
x

Outputs
(if (<=.f64 x -9500) (log.f64 (/.f64 -1/2 x)) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -9500) (log.f64 (/.f64 -1/2 x)) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (.f64 2 x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 2 x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 2 x)))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x

Compiler

Compiled 71 to 52 computations (26.8% saved)

soundness708.0ms (13.6%)

Rules

688×	`associate-+r-`
596×	`fma-def`
561×	`associate-l`
468×	`associate-+l-`
453×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	42	96
2	66	96
3	128	96
4	242	96
5	351	96
6	414	96
7	504	96
8	681	96
9	1049	96
10	2456	96
11	3813	96
12	4433	96
13	4609	96
14	4654	96
15	4674	96
16	4674	96
17	4705	96
18	4705	96
19	7295	96
20	7484	96
0	10	42
1	99	42
2	1193	42

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 66 to 47 computations (28.8% saved)

end0.0ms (0%)

preprocess89.0ms (1.7%)

Compiler: Compiled 204 to 144 computations (29.4% saved)

analyze73.0ms (1.4%)

sample2.6s (50.1%)

preprocess422.0ms (8.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize122.0ms (2.3%)

series4.0ms (0.1%)

rewrite219.0ms (4.2%)

simplify193.0ms (3.7%)

eval203.0ms (3.9%)

prune47.0ms (0.9%)

localize255.0ms (4.9%)

eval0.0ms (0%)

prune7.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes35.0ms (0.7%)

regimes14.0ms (0.3%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch30.0ms (0.6%)

bsearch50.0ms (1%)

bsearch46.0ms (0.9%)

bsearch23.0ms (0.4%)

simplify7.0ms (0.1%)

soundness708.0ms (13.6%)

end0.0ms (0%)

preprocess89.0ms (1.7%)

Profiling