Metrics for Hyperbolic arcsine

analyze135.0ms (2.6%)

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.2s (61.7%)

Results

1.4s	2562×	body	1024	valid
760.0ms	1275×	body	512	valid
587.0ms	1266×	body	2048	valid
408.0ms	3110×	body	256	valid
22.0ms	43×	body	4096	valid

Bogosity

preprocess251.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

4550×	`fma-def`
3750×	`associate-+r+`
3054×	`associate-+l+`
1272×	`distribute-lft-in`
480×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	33	34
2	59	34
3	106	34
4	181	34
5	270	34
6	335	34
7	389	34
8	422	34
9	491	34
10	719	34
11	985	34
12	1210	34
13	1392	34
14	1402	34
15	1404	34
16	1404	34
17	2196	34
18	2451	34
19	2699	34
20	2832	34
21	2847	34
22	2847	34
23	4545	34
24	4545	34
25	4545	34
26	4545	34
27	4545	34
28	7625	34
29	7674	34
30	7856	34
31	7948	34
32	7959	34

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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))))

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 (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))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

32.5%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize102.0ms (1.9%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	79.7%	(+.f64 x (hypot.f64 1 x))
✓	53.3%	(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
2.0ms	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	@	0	(+.f64 x (hypot.f64 1 x))
0.0ms	x	@	-inf	(+.f64 x (hypot.f64 1 x))

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`pow1`
1466×	`add-exp-log`
1466×	`log1p-expm1-u`
1466×	`expm1-log1p-u`
1432×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1999	30

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs
(+.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (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 (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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(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))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(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 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.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 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1522×	`fma-def`
1096×	`fma-neg`
724×	`unswap-sqr`
698×	`log-prod`
450×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2548
1	548	2180
2	1710	2040
3	6610	2040

Stop Event

1×	node limit

Counts

80 → 136

Calls

Call 1

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

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

eval42.0ms (0.8%)

Compiler: Compiled 1915 to 1409 computations (26.4% saved)

prune26.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	8	137

Accurracy

100.0%

Counts

137 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	22.3%	(log.f64 (/.f64 -1/2 x))
▶	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	27.5%	(log.f64 (+.f64 x x))
	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x
▶	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	22.3%	(log.f64 (/.f64 -1/2 x))
▶	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	27.5%	(log.f64 (+.f64 x x))
	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x

Compiler

Compiled 206 to 156 computations (24.3% saved)

localize134.0ms (2.5%)

Compiler: Compiled 97 to 67 computations (30.9% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	1	1
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	22.3%	(log.f64 (/.f64 -1/2 x))
✓	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	27.5%	(log.f64 (+.f64 x x))
▶	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x
✓	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	22.3%	(log.f64 (/.f64 -1/2 x))
✓	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	27.5%	(log.f64 (+.f64 x x))
▶	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x

Compiler

Compiled 112 to 84 computations (25% saved)

localize182.0ms (3.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 x (hypot.f64 1 x))
✓	100.0%	(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓	97.2%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	77.1%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
2.0ms	x	@	-inf	(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms	x	@	0	(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`pow1`
1590×	`log1p-expm1-u`
1590×	`expm1-log1p-u`
1588×	`add-exp-log`
1548×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	179	38
2	2183	38

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1584×	`fma-def`
916×	`fma-neg`
582×	`unswap-sqr`
580×	`log-prod`
570×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2878
1	571	2510
2	1792	2482
3	6857	2482

Stop Event

1×	node limit

Counts

66 → 124

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.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)))))
(log.f64 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (log.f64 x))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 11/180 (pow.f64 x 4)) (log.f64 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 11/180 (pow.f64 x 4)) (+.f64 (*.f64 -191/5670 (pow.f64 x 6)) (log.f64 x))))
(log.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (log.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 9/4 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (log.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 9/4 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3))))) (pow.f64 x 6))) (log.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))
(log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3))) (.f64 75/2 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 0 (log.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 (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 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.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 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(log.f64 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (log.f64 x))
(fma.f64 -1/6 (*.f64 x x) (log.f64 x))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 11/180 (pow.f64 x 4)) (log.f64 x)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 11/180 (pow.f64 x 4) (log.f64 x)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) 11/180 (log.f64 x)))
(fma.f64 (pow.f64 x 4) 11/180 (fma.f64 -1/6 (*.f64 x x) (log.f64 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 11/180 (pow.f64 x 4)) (+.f64 (*.f64 -191/5670 (pow.f64 x 6)) (log.f64 x))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 11/180 (pow.f64 x 4) (fma.f64 -191/5670 (pow.f64 x 6) (log.f64 x))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) 11/180 (fma.f64 (pow.f64 x 6) -191/5670 (log.f64 x))))
(fma.f64 (pow.f64 x 4) 11/180 (fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 6) -191/5670 (log.f64 x))))
(log.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (log.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 x x))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (.f64 x x))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x))))
(+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 9/4 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (log.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)) (+.f64 (log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 x x)))))
(fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (.f64 x x)))))
(+.f64 (+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (+.f64 (/.f64 -1/32 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 -3/32 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 9/4 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3))))) (pow.f64 x 6))) (log.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))
(fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 x x))) (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (+.f64 (/.f64 75/2 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 15/4 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3)))) (pow.f64 x 6)) (log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))))
(+.f64 (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (+.f64 (/.f64 75/2 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 15/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3)))) (pow.f64 x 6)) (log.f64 (+.f64 (log.f64 2) (log.f64 x)))) (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (.f64 x x)))))
(+.f64 (+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))) (+.f64 (/.f64 (fma.f64 1/720 (+.f64 (/.f64 75/2 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 15/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3))) (/.f64 3/128 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2))) (pow.f64 x 6)) (/.f64 (+.f64 (/.f64 -1/32 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 -3/32 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4))))
(log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -1/4 (.f64 (.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))
(-.f64 (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)))) (/.f64 1/4 (.f64 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (/.f64 -1/4 (.f64 (.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))
(+.f64 (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (/.f64 (+.f64 (/.f64 3/32 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -1/32 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3))) (.f64 75/2 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/720 (/.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (+.f64 (/.f64 15/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)) (/.f64 75/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4))))) (/.f64 1/4 (.f64 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (fma.f64 1/720 (/.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (+.f64 (/.f64 15/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)) (/.f64 75/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (/.f64 -1/4 (.f64 (.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (/.f64 (+.f64 (/.f64 3/32 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -1/32 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (-.f64 (/.f64 -75/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 15/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)))) (pow.f64 x 6)) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.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 2 (log.f64 (sqrt.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 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) -1))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

eval101.0ms (1.9%)

Compiler: Compiled 4876 to 3760 computations (22.9% saved)

prune38.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	260	8	268

Accurracy

100.0%

Counts

268 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	22.3%	(log.f64 (/.f64 -1/2 x))
✓	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	27.5%	(log.f64 (+.f64 x x))
✓	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x
✓	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	22.3%	(log.f64 (/.f64 -1/2 x))
✓	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	27.5%	(log.f64 (+.f64 x x))
✓	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x

Compiler

Compiled 112 to 84 computations (25% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	22.3%	(log.f64 (/.f64 -1/2 x))
✓	26.6%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	32.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	27.5%	(log.f64 (+.f64 x x))
✓	30.3%	(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	53.1%	x

Compiler

Compiled 114 to 83 computations (27.2% saved)

regimes34.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
89.8%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
89.8%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 79 to 55 computations (30.4% saved)

regimes15.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes14.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes12.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes13.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 x x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
78.5%	2	`x`

Compiler

Compiled 8 to 4 computations (50% 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:

2.0ms

Results

Accuracy	Segments	Branch
53.1%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.135359719604379e-12	0.2459176909079183
20.0ms	-449.70885558370844	-1.8338804719942144e-6

Results

37.0ms

304×

body

256

valid

Compiler

Compiled 355 to 275 computations (22.5% saved)

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	7.135359719604379e-12	0.2459176909079183
19.0ms	-449.70885558370844	-1.8338804719942144e-6

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 319 to 248 computations (22.3% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.2459176909079183	33.32131185954766
19.0ms	-449.70885558370844	-1.8338804719942144e-6

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 296 to 237 computations (19.9% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.2459176909079183	33.32131185954766
18.0ms	-449.70885558370844	-1.8338804719942144e-6

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 254 to 195 computations (23.2% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2459176909079183	33.32131185954766
18.0ms	-449.70885558370844	-1.8338804719942144e-6

Results

28.0ms

256×

body

256

valid

Compiler

Compiled 158 to 115 computations (27.2% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.2459176909079183	33.32131185954766

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	341
1	61	341
2	64	341
3	66	341
4	67	341

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5072854620270127/4611686018427387904) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 8762203435012037/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8762203435012037/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x -5072854620270127/4611686018427387904) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 8762203435012037/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 8762203435012037/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8762203435012037/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8762203435012037/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x 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 x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x

Compiler

Compiled 140 to 100 computations (28.6% saved)

soundness272.0ms (5.2%)

Rules

1590×	`pow1`
1522×	`fma-def`
1522×	`fma-def`
1466×	`add-exp-log`
1466×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	8	30
1	158	30
2	1999	30
0	214	2548
1	548	2180
2	1710	2040
3	6610	2040
0	214	2548
1	548	2180
2	1710	2040
3	6610	2040

Stop Event

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

Compiler

Compiled 281 to 171 computations (39.1% saved)

end0.0ms (0%)

preprocess108.0ms (2%)

Compiler: Compiled 338 to 228 computations (32.5% saved)

analyze135.0ms (2.6%)

sample3.2s (61.7%)

preprocess251.0ms (4.8%)

simplify4.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize102.0ms (1.9%)

series4.0ms (0.1%)

rewrite65.0ms (1.2%)

simplify83.0ms (1.6%)

eval42.0ms (0.8%)

prune26.0ms (0.5%)

localize134.0ms (2.5%)

eval0.0ms (0%)

prune6.0ms (0.1%)

localize182.0ms (3.5%)

series4.0ms (0.1%)

rewrite63.0ms (1.2%)

simplify91.0ms (1.7%)

eval101.0ms (1.9%)

prune38.0ms (0.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes34.0ms (0.6%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes12.0ms (0.2%)

regimes13.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch41.0ms (0.8%)

bsearch40.0ms (0.8%)

bsearch32.0ms (0.6%)

bsearch32.0ms (0.6%)

bsearch31.0ms (0.6%)

bsearch14.0ms (0.3%)

simplify13.0ms (0.2%)

soundness272.0ms (5.2%)

end0.0ms (0%)

preprocess108.0ms (2%)

Profiling