Metrics for Hyperbolic arcsine

analyze70.0ms (0.8%)

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)

sample2.9s (35%)

Results

1.3s	2534×	body	1024	valid
672.0ms	1288×	body	2048	valid
484.0ms	3108×	body	256	valid
400.0ms	1283×	body	512	valid
27.0ms	43×	body	4096	valid

Bogosity

preprocess432.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

137×	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
65×	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`
33×	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`
21×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	33	51
2	59	51
3	106	51
4	181	51
5	270	51
6	335	51
7	389	51
8	422	51
9	491	51
10	719	51
11	985	51
12	1210	51
13	1392	51
14	1402	51
15	1404	51
16	1404	51
17	2196	51
18	2451	51
19	2699	51
20	2832	51
21	2847	51
22	2847	51
23	4545	51
24	4545	51
25	4545	51
26	4545	51
27	4545	51
28	7625	51
29	7674	51
30	7856	51
31	7948	51
32	7959	51

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))))

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))

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
▶	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize113.0ms (1.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	76.0%	(+.f64 x (hypot.f64 1 x))
✓	49.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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))

rewrite66.0ms (0.8%)

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))

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-def`
1082×	`fma-neg`
724×	`unswap-sqr`
700×	`log-prod`
462×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2568
1	534	2192
2	1679	2044
3	6616	2044

Stop Event

1×	node limit

Counts

80 → 141

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 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 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
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(+.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))

eval53.0ms (0.6%)

Compiler: Compiled 1990 to 1467 computations (26.3% saved)

prune49.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	132	9	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	10	142

Accuracy

100.0%

Counts

142 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(+.f64 (log.f64 2) (log.f64 x))
▶	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	26.4%	(log.f64 (/.f64 -1/2 x))
▶	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
	20.8%	(log.f64 (+.f64 x x))
▶	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x
	21.1%	(+.f64 (log.f64 2) (log.f64 x))
▶	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	26.4%	(log.f64 (/.f64 -1/2 x))
▶	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
	20.8%	(log.f64 (+.f64 x x))
▶	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x

Compiler

Compiled 270 to 208 computations (23% saved)

localize310.0ms (3.7%)

Compiler: Compiled 125 to 93 computations (25.6% saved)

eval0.0ms (0%)

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

prune15.0ms (0.2%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	5	5
Done	1	1
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.1%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
▶	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	20.8%	(log.f64 (+.f64 x x))
✓	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x
▶	21.1%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
▶	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	20.8%	(log.f64 (+.f64 x x))
✓	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x

Compiler

Compiled 144 to 110 computations (23.6% saved)

localize175.0ms (2.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.8%	(+.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	99.9%	(*.f64 -1/6 (pow.f64 x 3))
✓	99.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 39 to 24 computations (38.5% saved)

series168.0ms (2%)

Counts

4 → 23

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
41.0ms	x	@	0	(log.f64 (+.f64 x x))
32.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
32.0ms	x	@	-inf	(log.f64 (+.f64 x x))
9.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite174.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`log-prod`
1096×	`fma-def`
622×	`pow-prod-up`
578×	`pow-exp`
486×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	323	50
2	3984	50

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2) 2)) (log.f64 (pow.f64 (fma.f64 x x 0) 2)))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 2))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) (+.f64 x x))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 0))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 3 (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 1/2 (log.f64 (+.f64 x x)))
(*.f64 1/3 (log.f64 (+.f64 x x)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
(neg.f64 (log.f64 (+.f64 x x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x x)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (+.f64 x x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (+.f64 x x)))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 3) 1/3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/36) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (*.f64 (pow.f64 x 4) -1/6))))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (-.f64 (.f64 x x) (.f64 (pow.f64 x 4) -1/6))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x 6) 1/36))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) -1/6) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x -1/6) x)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2) 2)) (log.f64 (pow.f64 (fma.f64 x x 0) 2)))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 2))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) (+.f64 x x))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 0))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 3 (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 1/2 (log.f64 (+.f64 x x)))
(*.f64 1/3 (log.f64 (+.f64 x x)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
(neg.f64 (log.f64 (+.f64 x x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (+.f64 x x) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 x x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x x)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (+.f64 x x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (+.f64 x x)))

simplify180.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

964×	`distribute-lft-in`
928×	`distribute-rgt-in`
828×	`associate-+l+`
726×	`associate-+r+`
720×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	6423
1	974	5745
2	2767	5557

Stop Event

1×	node limit

Counts

267 → 214

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2) 2)) (log.f64 (pow.f64 (fma.f64 x x 0) 2)))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 2))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) (+.f64 x x))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 0))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 3 (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 1/2 (log.f64 (+.f64 x x)))
(*.f64 1/3 (log.f64 (+.f64 x x)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
(neg.f64 (log.f64 (+.f64 x x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x x)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (+.f64 x x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (+.f64 x x)))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 3) 1/3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/36) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (*.f64 (pow.f64 x 4) -1/6))))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (-.f64 (.f64 x x) (.f64 (pow.f64 x 4) -1/6))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (.f64 (pow.f64 x 6) 1/36)) (.f64 (pow.f64 x 4) -1/6)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x 6) 1/36))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) -1/6) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x -1/6) x)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 (pow.f64 x 3) 2)) (log.f64 (fma.f64 x x 0)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 3) 2) 2)) (log.f64 (pow.f64 (fma.f64 x x 0) 2)))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 (pow.f64 x 3) 2))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (+.f64 x x) (.f64 (pow.f64 x 3) 2))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 (pow.f64 x 3) 2) (+.f64 x x))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 0))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 3 (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 1/2 (log.f64 (+.f64 x x)))
(*.f64 1/3 (log.f64 (+.f64 x x)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
(neg.f64 (log.f64 (+.f64 x x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 (pow.f64 x 3) 2))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (+.f64 x x) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 x x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x x)))) 2))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (+.f64 x x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (+.f64 x x)))

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

eval109.0ms (1.3%)

Compiler: Compiled 2491 to 1693 computations (32% saved)

prune65.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	1	1
Picked	0	3	3
Done	0	6	6
Total	213	11	224

Accuracy

100.0%

Counts

224 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.1%	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
✓	21.1%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.8%	(log.f64 (+.f64 x x))
✓	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x
▶	21.1%	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
✓	21.1%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.8%	(log.f64 (+.f64 x x))
✓	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x

Compiler

Compiled 164 to 124 computations (24.4% saved)

localize60.0ms (0.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (sqrt.f64 x))
✓	99.8%	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
2.0ms	x	@	-inf	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
1.0ms	x	@	inf	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
0.0ms	x	@	-inf	(log.f64 (sqrt.f64 x))
0.0ms	x	@	0	(log.f64 (sqrt.f64 x))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`prod-diff`
912×	`log-prod`
608×	`pow-prod-down`
606×	`prod-exp`
484×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	204	20
2	2550	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1292×	`fma-def`
1086×	`div-sub`
846×	`fma-neg`
636×	`log-prod`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2403
1	419	2273
2	1320	2177
3	6560	2177

Stop Event

1×	node limit

Counts

87 → 97

Calls

Call 1

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

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

eval26.0ms (0.3%)

Compiler: Compiled 1332 to 879 computations (34% saved)

prune20.0ms (0.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	97	11	108

Accuracy

100.0%

Counts

108 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.1%	(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 1/2 (log.f64 x)))
✓	21.1%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.9%	(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	26.4%	(log.f64 (/.f64 -1/2 x))
✓	29.8%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	21.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.8%	(log.f64 (+.f64 x x))
✓	9.8%	(log.f64 (+.f64 x 1))
	55.5%	x

Compiler

Compiled 174 to 128 computations (26.4% saved)

regimes142.0ms (1.7%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 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))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))

Outputs
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 1/2 (log.f64 x)))

Calls

3 calls:

113.0ms	x
15.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
99.8%	3	`x`
86.8%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
86.8%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 112 to 78 computations (30.4% saved)

regimes76.0ms (0.9%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 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))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))

Outputs
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (log.f64 2) (log.f64 x))

Calls

1 calls:

68.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 74 to 53 computations (28.4% saved)

regimes70.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

60.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes62.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

55.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes54.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

49.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes54.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

49.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes44.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

41.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes29.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
74.7%	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes28.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 x 1))

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
61.0%	2	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (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:

10.0ms

Results

Accuracy	Segments	Branch
55.5%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	4.95845662180966e-15	76628.82307567065
19.0ms	-45.94725645414775	-0.0011153471314940364

Results

50.0ms

288×

body

256

valid

Compiler

Compiled 484 to 390 computations (19.4% saved)

bsearch115.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	4.95845662180966e-15	76628.82307567065
66.0ms	-45.94725645414775	-0.0011153471314940364

Results

102.0ms

288×

body

256

valid

Compiler

Compiled 434 to 350 computations (19.4% saved)

bsearch142.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	4.95845662180966e-15	76628.82307567065
92.0ms	-0.0011153471314940364	-4.159042873774802e-19

Results

133.0ms

320×

body

256

valid

Compiler

Compiled 244 to 190 computations (22.1% saved)

bsearch97.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	4.95845662180966e-15	76628.82307567065
45.0ms	-45.94725645414775	-0.0011153471314940364

Results

87.0ms

288×

body

256

valid

Compiler

Compiled 294 to 236 computations (19.7% saved)

bsearch94.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	4.95845662180966e-15	76628.82307567065
45.0ms	-45.94725645414775	-0.0011153471314940364

Results

83.0ms

288×

body

256

valid

Compiler

Compiled 344 to 276 computations (19.8% saved)

bsearch88.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	4.95845662180966e-15	76628.82307567065
39.0ms	-45.94725645414775	-0.0011153471314940364

Results

78.0ms

288×

body

256

valid

Compiler

Compiled 284 to 216 computations (23.9% saved)

bsearch86.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	4.95845662180966e-15	76628.82307567065
38.0ms	-45.94725645414775	-0.0011153471314940364

Results

78.0ms

288×

body

256

valid

Compiler

Compiled 176 to 126 computations (28.4% saved)

bsearch33.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.95845662180966e-15	76628.82307567065

Results

30.0ms

160×

body

256

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

bsearch67.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	4.95845662180966e-15	76628.82307567065

Results

64.0ms

160×

body

256

valid

Compiler

Compiled 104 to 80 computations (23.1% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
14×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	542
1	92	542
2	95	542
3	97	542
4	98	542

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -4150517416584649/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 1/2 (log.f64 x)))))
(if (<=.f64 x -4150517416584649/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -4958484807013127/1180591620717411303424) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5/4) x (+.f64 (log.f64 2) (log.f64 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))) (+.f64 (log.f64 2) (log.f64 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 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 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)))
(if (<=.f64 x 6980579422424269/4503599627370496) x (log.f64 (+.f64 x 1)))
x

Outputs
(if (<=.f64 x -4150517416584649/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 1/2 (log.f64 x)))))
(if (<=.f64 x -4150517416584649/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -4150517416584649/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 x) (log.f64 2))))
(if (<=.f64 x -4958484807013127/1180591620717411303424) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5/4) x (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -4958484807013127/1180591620717411303424) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 5/4) x (+.f64 (log.f64 x) (log.f64 2))))
(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))) (+.f64 (log.f64 2) (log.f64 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))) (+.f64 (log.f64 x) (log.f64 2))))
(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 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 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)))
(if (<=.f64 x 6980579422424269/4503599627370496) x (log.f64 (+.f64 x 1)))
x

Compiler

Compiled 217 to 160 computations (26.3% saved)

soundness1.3s (15.7%)

Rules

4550×	`fma-def`
3750×	`associate-+r+`
3054×	`associate-+l+`
1598×	`fma-def`
1598×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	33	51
2	59	51
3	106	51
4	181	51
5	270	51
6	335	51
7	389	51
8	422	51
9	491	51
10	719	51
11	985	51
12	1210	51
13	1392	51
14	1402	51
15	1404	51
16	1404	51
17	2196	51
18	2451	51
19	2699	51
20	2832	51
21	2847	51
22	2847	51
23	4545	51
24	4545	51
25	4545	51
26	4545	51
27	4545	51
28	7625	51
29	7674	51
30	7856	51
31	7948	51
32	7959	51
0	8	30
1	158	30
2	1999	30
0	213	2568
1	534	2192
2	1679	2044
3	6616	2044
0	213	2568
1	534	2192
2	1679	2044
3	6616	2044
0	15	54
1	323	50
2	3984	50
0	10	34
1	204	20
2	2550	20
0	192	2403
1	419	2273
2	1320	2177
3	6560	2177
0	213	2568
1	534	2192
2	1679	2044
3	6616	2044
0	213	2568
1	534	2192
2	1679	2044
3	6616	2044

Stop Event

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

Compiler

Compiled 629 to 388 computations (38.3% saved)

end0.0ms (0%)

preprocess362.0ms (4.4%)

Compiler: Compiled 486 to 336 computations (30.9% saved)

analyze70.0ms (0.8%)

sample2.9s (35%)

preprocess432.0ms (5.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize113.0ms (1.4%)

series6.0ms (0.1%)

rewrite66.0ms (0.8%)

simplify90.0ms (1.1%)

eval53.0ms (0.6%)

prune49.0ms (0.6%)

localize310.0ms (3.7%)

eval0.0ms (0%)

prune15.0ms (0.2%)

localize175.0ms (2.1%)

series168.0ms (2%)

rewrite174.0ms (2.1%)

simplify180.0ms (2.2%)

eval109.0ms (1.3%)

prune65.0ms (0.8%)

localize60.0ms (0.7%)

series5.0ms (0.1%)

rewrite77.0ms (0.9%)

simplify91.0ms (1.1%)

eval26.0ms (0.3%)

prune20.0ms (0.2%)

regimes142.0ms (1.7%)

regimes76.0ms (0.9%)

regimes70.0ms (0.8%)

regimes62.0ms (0.7%)

regimes54.0ms (0.6%)

regimes54.0ms (0.6%)

regimes44.0ms (0.5%)

regimes29.0ms (0.4%)

regimes28.0ms (0.3%)

regimes12.0ms (0.1%)

bsearch60.0ms (0.7%)

bsearch115.0ms (1.4%)

bsearch142.0ms (1.7%)

bsearch97.0ms (1.2%)

bsearch94.0ms (1.1%)

bsearch88.0ms (1.1%)

bsearch86.0ms (1%)

bsearch33.0ms (0.4%)

bsearch67.0ms (0.8%)

simplify15.0ms (0.2%)

soundness1.3s (15.7%)

end0.0ms (0%)

preprocess362.0ms (4.4%)

Profiling