Metrics for Hyperbolic arcsine

analyze83.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.8s (42.7%)

Results

1.3s	2639×	body	1024	valid
620.0ms	1250×	body	2048	valid
513.0ms	3056×	body	256	valid
329.0ms	1260×	body	512	valid
45.0ms	51×	body	4096	valid

Bogosity

preprocess362.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1544×	`fma-def`
1032×	`associate-+r-`
798×	`associate-+r+`
774×	`associate-+l-`
662×	`associate--r-`

Problems

136×	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
56×	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`
38×	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`
26×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	38	96
2	66	96
3	114	96
4	193	96
5	287	96
6	369	96
7	456	96
8	541	96
9	860	96
10	1840	96
11	3646	96
12	4302	96
13	4462	96
14	4506	96
15	4521	96
16	4521	96
17	4552	96
18	4552	96
19	7144	96
20	7345	96
21	7905	96

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize97.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	75.1%	(+.f64 x (hypot.f64 1 x))
✓	50.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`prod-diff`
614×	`unpow-prod-down`
456×	`log1p-expm1-u`
456×	`expm1-log1p-u`
425×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	96	42
2	1238	42

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 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 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (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))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(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)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(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 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1956×	`fma-def`
728×	`distribute-lft-in`
698×	`distribute-rgt-in`
558×	`sqr-pow`
494×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	6627
1	870	6249
2	2623	5541

Stop Event

1×	node limit

Counts

143 → 219

Calls

Call 1

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

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

eval226.0ms (3.4%)

Compiler: Compiled 3433 to 2650 computations (22.8% saved)

prune56.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	211	8	219
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	211	9	220

Accuracy

100.0%

Counts

220 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
	53.2%	(+.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)))))
▶	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	27.1%	(log.f64 (/.f64 -1/2 x))
▶	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x
	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
	53.2%	(+.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)))))
▶	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	27.1%	(log.f64 (/.f64 -1/2 x))
▶	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x

Compiler

Compiled 290 to 228 computations (21.4% saved)

localize394.0ms (6%)

Compiler: Compiled 95 to 68 computations (28.4% saved)

eval0.0ms (0%)

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

prune7.0ms (0.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	5	5
Done	1	1
Total	9	9

Accuracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	53.2%	(+.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)))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	27.1%	(log.f64 (/.f64 -1/2 x))
✓	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x
▶	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	53.2%	(+.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)))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	27.1%	(log.f64 (/.f64 -1/2 x))
✓	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x

Compiler

Compiled 154 to 120 computations (22.1% saved)

localize531.0ms (8.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	75.1%	(+.f64 x (hypot.f64 1 x))
✓	50.9%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
	50.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	99.9%	(*.f64 -5/112 (pow.f64 x 7))
✓	99.9%	(*.f64 3/40 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	68.4%	(+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 3/40 (pow.f64 x 5)))

Compiler

Compiled 114 to 88 computations (22.8% saved)

series6.0ms (0.1%)

Counts

5 → 15

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 -5/112 (pow.f64 x 7))
1.0ms	x	@	0	(+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 3/40 (pow.f64 x 5)))
1.0ms	x	@	inf	(+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 3/40 (pow.f64 x 5)))
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 3/40 (pow.f64 x 5))

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1001×	`log1p-expm1-u`
683×	`expm1-log1p-u`
496×	`expm1-udef`
496×	`log1p-udef`
212×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	332	104
2	4532	104

Stop Event

1×	node limit

Counts

5 → 120

Calls

Call 1

Inputs
(+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 -5/112 (pow.f64 x 7))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 14) 25/12544) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 9/1600) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))))
(.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 1)
(.f64 1 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))))
(.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2)) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))))
(/.f64 1 (/.f64 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (.f64 (pow.f64 x 10) 9/1600) (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (pow.f64 x 14) 25/12544)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(exp.f64 (.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 1 (.f64 -5/112 (pow.f64 x 7)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (.f64 -5/112 (pow.f64 x 7))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -5/112 (pow.f64 x 7)))
(-.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 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(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 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) 1/3)
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) -5/112))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (.f64 (log.f64 (.f64 -5/112 (pow.f64 x 7))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (pow.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 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)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

890×	`unswap-sqr`
808×	`cancel-sign-sub-inv`
568×	`times-frac`
536×	`fma-neg`
478×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	5575
1	796	5367
2	2913	5347

Stop Event

1×	node limit

Counts

135 → 175

Calls

Call 1

Inputs
(*.f64 3/40 (pow.f64 x 5))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
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)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 14) 25/12544) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 9/1600) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))))
(.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 1)
(.f64 1 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))))
(.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2)) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))))
(/.f64 1 (/.f64 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (.f64 (pow.f64 x 10) 9/1600) (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (pow.f64 x 14) 25/12544)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(exp.f64 (.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 1 (.f64 -5/112 (pow.f64 x 7)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (.f64 -5/112 (pow.f64 x 7))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -5/112 (pow.f64 x 7)))
(-.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 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(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 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) 1/3)
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) -5/112))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (.f64 (log.f64 (.f64 -5/112 (pow.f64 x 7))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (pow.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 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)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)

Outputs
(*.f64 3/40 (pow.f64 x 5))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
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))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (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 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (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 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (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)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 -5/96 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))) 1)
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(-.f64 (/.f64 (.f64 (pow.f64 x 14) 25/12544) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 9/1600) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (fma.f64 (pow.f64 x 14) -25/12544 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 7) 5/112 (.f64 3/40 (pow.f64 x 5))))
(.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 1)
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(.f64 1 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2)))
(.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2)) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2)))
(.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2)))
(.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 3/40 (.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 7) -3/896))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 14) 25/12544 (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 7) 3/896)))))
(.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (fma.f64 (pow.f64 x 14) -25/12544 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 7) 5/112 (.f64 3/40 (pow.f64 x 5))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 3/40 (.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 7) -3/896))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 14) 25/12544 (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 7) 3/896)))))
(/.f64 1 (/.f64 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (fma.f64 (pow.f64 x 14) -25/12544 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 7) 5/112 (.f64 3/40 (pow.f64 x 5))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 3/40 (.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 7) -3/896))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 14) 25/12544 (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 7) 3/896)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (+.f64 (.f64 (pow.f64 x 10) 9/1600) (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 3/40 (.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 7) -3/896))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 14) 25/12544 (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 7) 3/896)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (fma.f64 (pow.f64 x 14) -25/12544 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 7) 5/112 (.f64 3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (.f64 (.f64 (*.f64 -5/112 (pow.f64 x 7)) 3/40) (pow.f64 x 5)))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 3/40 (.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) 9/1600)) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 7) -3/896))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 14) 25/12544 (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 7) 3/896)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (+.f64 (.f64 -5/112 (pow.f64 x 7)) (.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (fma.f64 (pow.f64 x 14) -25/12544 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 7) 5/112 (.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (pow.f64 x 14) 25/12544)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (-.f64 (.f64 (pow.f64 x 14) 25/12544) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (fma.f64 (pow.f64 x 14) 25/12544 (.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 (.f64 -5/112 (pow.f64 x 7))))
(/.f64 (fma.f64 (pow.f64 x 14) -25/12544 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 7) 5/112 (.f64 3/40 (pow.f64 x 5))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1)
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 3)
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 2)
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
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(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval187.0ms (2.8%)

Compiler: Compiled 8101 to 6593 computations (18.6% saved)

prune62.0ms (0.9%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	393	1	394
Fresh	0	1	1
Picked	0	2	2
Done	0	6	6
Total	393	10	403

Accuracy

100.0%

Counts

403 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	6.4%	(-.f64 (+.f64 1 x) 1)
✓	53.2%	(+.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)))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	27.1%	(log.f64 (/.f64 -1/2 x))
✓	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x
✓	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	6.4%	(-.f64 (+.f64 1 x) 1)
✓	53.2%	(+.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)))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	27.1%	(log.f64 (/.f64 -1/2 x))
✓	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x

Compiler

Compiled 166 to 130 computations (21.7% saved)

localize28.0ms (0.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	50.9%	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`fma-def`
492×	`unpow-prod-down`
416×	`prod-diff`
400×	`log1p-expm1-u`
400×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	92	4
2	1339	4

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs
(+.f64 1 (+.f64 x -1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 0 x)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(+.f64 (log.f64 (E.f64)) (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x (log.f64 (E.f64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 1 1/3) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (.f64 (+.f64 1 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 x)))) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (expm1.f64 (.f64 (log1p.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (expm1.f64 (.f64 2 (log1p.f64 x))))) (cbrt.f64 (+.f64 x 2)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) 3) (pow.f64 (+.f64 x 2) 3)))
x
(expm1.f64 (log1p.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (pow.f64 x 2) x)))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (.f64 (.f64 (log.f64 x) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 x 1 0)
(fma.f64 (+.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (-.f64 1 x)) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (cbrt.f64 (+.f64 x -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1746×	`fma-def`
1236×	`distribute-lft-in`
1198×	`distribute-rgt-in`
504×	`associate-+r+`
494×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1780
1	423	1663
2	1336	1647

Stop Event

1×	node limit

Counts

90 → 99

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 0 x)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(+.f64 (log.f64 (E.f64)) (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x (log.f64 (E.f64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 1 1/3) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (.f64 (+.f64 1 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 x)))) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (expm1.f64 (.f64 (log1p.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (expm1.f64 (.f64 2 (log1p.f64 x))))) (cbrt.f64 (+.f64 x 2)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) 3) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (pow.f64 x 2) x)))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (.f64 (.f64 (log.f64 x) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 x 1 0)
(fma.f64 (+.f64 1 x) 1 -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (-.f64 1 x)) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (cbrt.f64 (+.f64 x -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 (+.f64 1 x) (log.f64 (exp.f64 -1)))
x
(+.f64 0 x)
x
(+.f64 -1 (+.f64 1 x))
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 (log.f64 (E.f64)) (+.f64 x -1))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 x (log.f64 (E.f64)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 x))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 (log1p.f64 x) 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
x
(*.f64 (pow.f64 1 1/3) x)
x
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 1 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (.f64 (+.f64 1 x) -1))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 x)))) (neg.f64 (+.f64 x 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (expm1.f64 (.f64 (log1p.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (pow.f64 x 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (pow.f64 x 2))) (cbrt.f64 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (expm1.f64 (.f64 2 (log1p.f64 x))))) (cbrt.f64 (+.f64 x 2)))
(/.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (pow.f64 x 2))) (cbrt.f64 (+.f64 x 2)))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 2) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))) -1)
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(pow.f64 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))) -1)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) 3) (pow.f64 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) 3) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 x))
x
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (pow.f64 x 2) x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (-.f64 x 1))))
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (.f64 (.f64 (log.f64 x) 3) 1/3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 x 0)
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 1 (+.f64 x -1) 1)
x
(fma.f64 x 1 0)
x
(fma.f64 (+.f64 1 x) 1 -1)
x
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) -1)
x
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) 0)
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (-.f64 1 x)) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 x)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 0)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (cbrt.f64 (+.f64 x -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
x
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) 1)
x
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)
(.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (.f64 (log1p.f64 x) 1/2)))

eval24.0ms (0.4%)

Compiler: Compiled 971 to 684 computations (29.6% saved)

prune21.0ms (0.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	99	10	109

Accuracy

100.0%

Counts

109 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	25.5%	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
✓	6.4%	(-.f64 (+.f64 1 x) 1)
✓	53.2%	(+.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)))))
✓	53.4%	(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓	31.5%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	27.1%	(log.f64 (/.f64 -1/2 x))
✓	21.3%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	25.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	20.4%	(log.f64 (*.f64 x 2))
	55.4%	x

Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes52.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (*.f64 x 2))
(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))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.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)))))

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

Calls

3 calls:

28.0ms	x
13.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.8%	3	`x`
88.6%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
88.6%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 104 to 76 computations (26.9% saved)

regimes32.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (*.f64 x 2))
(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))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes15.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(log.f64 (*.f64 x 2))
(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:

13.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes22.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
74.2%	2	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -31.4b remaining (-109.9%)

Threshold costs -31.4b (-109.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
55.4%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.1183654156607223e-13	6.914362556602568
16.0ms	-355.02396499244765	-0.01323723870091302

Results

36.0ms

288×

body

256

valid

Compiler

Compiled 520 to 416 computations (20% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.1183654156607223e-13	6.914362556602568
24.0ms	-355.02396499244765	-0.01323723870091302

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 304 to 236 computations (22.4% saved)

bsearch48.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.1183654156607223e-13	6.914362556602568
23.0ms	-355.02396499244765	-0.01323723870091302

Results

43.0ms

288×

body

256

valid

Compiler

Compiled 344 to 276 computations (19.8% saved)

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.1183654156607223e-13	6.914362556602568
16.0ms	-355.02396499244765	-0.01323723870091302

Results

38.0ms

288×

body

256

valid

Compiler

Compiled 284 to 226 computations (20.4% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.1183654156607223e-13	6.914362556602568
16.0ms	-355.02396499244765	-0.01323723870091302

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 176 to 136 computations (22.7% saved)

bsearch24.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.1183654156607223e-13	6.914362556602568

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 104 to 80 computations (23.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	479
1	74	479

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6052837899185947/288230376151711744) (+.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))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 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 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x

Outputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6052837899185947/288230376151711744) (+.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))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 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 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x

Compiler

Compiled 148 to 110 computations (25.7% saved)

soundness666.0ms (10.1%)

Rules

1956×	`fma-def`
1544×	`fma-def`
1032×	`associate-+r-`
798×	`associate-+r+`
774×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	38	96
2	66	96
3	114	96
4	193	96
5	287	96
6	369	96
7	456	96
8	541	96
9	860	96
10	1840	96
11	3646	96
12	4302	96
13	4462	96
14	4506	96
15	4521	96
16	4521	96
17	4552	96
18	4552	96
19	7144	96
20	7345	96
21	7905	96
0	353	6627
1	870	6249
2	2623	5541

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 56 to 35 computations (37.5% saved)

end0.0ms (0%)

preprocess139.0ms (2.1%)

Compiler: Compiled 354 to 256 computations (27.7% saved)

analyze83.0ms (1.3%)

sample2.8s (42.7%)

preprocess362.0ms (5.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize97.0ms (1.5%)

series3.0ms (0.1%)

rewrite113.0ms (1.7%)

simplify85.0ms (1.3%)

eval226.0ms (3.4%)

prune56.0ms (0.9%)

localize394.0ms (6%)

eval0.0ms (0%)

prune7.0ms (0.1%)

localize531.0ms (8.1%)

series6.0ms (0.1%)

rewrite107.0ms (1.6%)

simplify91.0ms (1.4%)

eval187.0ms (2.8%)

prune62.0ms (0.9%)

localize28.0ms (0.4%)

series0.0ms (0%)

rewrite50.0ms (0.8%)

simplify45.0ms (0.7%)

eval24.0ms (0.4%)

prune21.0ms (0.3%)

regimes52.0ms (0.8%)

regimes32.0ms (0.5%)

regimes15.0ms (0.2%)

regimes22.0ms (0.3%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch41.0ms (0.6%)

bsearch45.0ms (0.7%)

bsearch48.0ms (0.7%)

bsearch42.0ms (0.6%)

bsearch36.0ms (0.5%)

bsearch24.0ms (0.4%)

simplify7.0ms (0.1%)

soundness666.0ms (10.1%)

end0.0ms (0%)

preprocess139.0ms (2.1%)

Profiling