Metrics for Rust f64::atanh

analyze2.0ms (0.1%)

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
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample567.0ms (26.8%)

Results

554.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
4×	`fma-def`
4×	`+-commutative`
2×	`*-commutative`
2×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	11	14
2	13	14
3	15	14
4	20	14
5	24	14
6	29	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atanh.f64 x)
(atanh.f64 (neg.f64 x))

Outputs
(atanh.f64 x)
(atanh.f64 (neg.f64 x))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify107.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2026×	`fma-def`
498×	`times-frac`
498×	`div-sub`
404×	`associate-/r*`
386×	`associate-r`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	20	29
2	31	29
3	49	29
4	66	29
5	89	29
6	142	29
7	240	25
8	390	25
9	551	25
10	680	25
11	867	25
12	1151	25
13	1987	25
14	3216	25
15	3833	25
16	3865	25
17	3897	25
18	3937	25
19	3937	25

Stop Event

1×

saturated

Counts

1 → 7

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(.f64 1/2 (log1p.f64 (/.f64 x (+.f64 1/2 (.f64 -1/2 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler: Compiled 69 to 55 computations (20.3% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	5	3	8

Accurracy

100.0%

Counts

8 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize183.0ms (8.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 2 x) (-.f64 1 x))
✓	100.0%	(/.f64 (-.f64 1 x) x)
✓	99.8%	(/.f64 2 (/.f64 (-.f64 1 x) x))

Compiler

Compiled 74 to 55 computations (25.7% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 x) x)
0.0ms	x	@	inf	(/.f64 (-.f64 1 x) x)
0.0ms	x	@	0	(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms	x	@	0	(/.f64 (-.f64 1 x) x)

rewrite77.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`log-prod`
650×	`prod-exp`
584×	`pow-prod-down`
442×	`prod-diff`
422×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	227	51
2	2981	51

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

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

simplify127.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1412×	`times-frac`
1108×	`distribute-lft-in`
1088×	`distribute-rgt-in`
414×	`associate-+r+`
396×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4840
1	795	4506
2	2498	4486

Stop Event

1×	node limit

Counts

216 → 174

Calls

Call 1

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

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

eval91.0ms (4.3%)

Compiler: Compiled 2680 to 2121 computations (20.9% saved)

prune40.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	168	6	174
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	169	7	176

Accurracy

100.0%

Counts

176 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	97.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	97.5%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
▶	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	97.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	97.5%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
▶	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 230 to 190 computations (17.4% saved)

localize128.0ms (6.1%)

Compiler: Compiled 113 to 84 computations (25.7% saved)

eval0.0ms (0%)

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

prune5.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

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

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	97.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	97.5%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
✓	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
▶	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	97.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	97.5%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
✓	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
▶	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 126 to 104 computations (17.5% saved)

localize36.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x x) x)
✓	100.0%	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
0.0ms	x	@	0	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
0.0ms	x	@	inf	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
0.0ms	x	@	inf	(+.f64 (*.f64 x x) x)
0.0ms	x	@	0	(+.f64 (*.f64 x x) x)

rewrite62.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`pow1`
1796×	`add-exp-log`
1792×	`log1p-expm1-u`
1792×	`expm1-log1p-u`
200×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	196	28
2	2599	28

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
(+.f64 (*.f64 x x) x)

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

simplify69.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1076×	`fma-neg`
994×	`fma-def`
910×	`div-sub`
798×	`log-prod`
682×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1867
1	391	1713
2	1276	1613
3	5269	1605

Stop Event

1×	node limit

Counts

79 → 113

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -4/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4))))
(+.f64 (.f64 -8/5 (pow.f64 x 5)) (+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(-.f64 (+.f64 1 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 1)
(.f64 (log1p.f64 (.f64 2 (fma.f64 x x x))) 1)
(.f64 1 (log1p.f64 (.f64 2 (fma.f64 x x x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 2))
(log.f64 (+.f64 (*.f64 2 (fma.f64 x x x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) 1))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x)))
(*.f64 x (+.f64 x 1))
(*.f64 (fma.f64 x x x) 1)
(*.f64 1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (+.f64 x 1) x)
(.f64 (.f64 (+.f64 x 1) 1) x)
(.f64 (.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) x) (-.f64 (pow.f64 x 4) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (neg.f64 (-.f64 (.f64 x x) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) (-.f64 x (.f64 x x)))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -4/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 -4/3 (pow.f64 x 3)))
(fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4))))
(fma.f64 2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 4))))
(fma.f64 2 x (fma.f64 2 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3))))
(fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4))))
(+.f64 (.f64 -8/5 (pow.f64 x 5)) (+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
(fma.f64 -8/5 (pow.f64 x 5) (fma.f64 2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 -8/5 (pow.f64 x 5) (fma.f64 2 x (fma.f64 2 (pow.f64 x 4) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 -8/5 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -2 (neg.f64 (log.f64 x))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(+.f64 (log.f64 2) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (/.f64 1 x) (*.f64 2 (log.f64 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1 x) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1 x)) (fma.f64 2 (log.f64 x) (/.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/8 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 3))))
(+.f64 (log.f64 2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (-.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 1/8 (pow.f64 x 4)))) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))) (fma.f64 2 (log.f64 x) (/.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (/.f64 1 x))) (/.f64 1/6 (pow.f64 x 3)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 2) (/.f64 1 x)) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 2) (/.f64 1/8 (pow.f64 x 4))) (/.f64 1 x))) (/.f64 1/6 (pow.f64 x 3)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (/.f64 -1/6 (pow.f64 x 3))))
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(-.f64 (+.f64 1 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (log1p.f64 (.f64 2 (fma.f64 x x x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 1 (log1p.f64 (.f64 2 (fma.f64 x x x))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(log.f64 (+.f64 (*.f64 2 (fma.f64 x x x)) 1))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) 1))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(fma.f64 x x x)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 x (+.f64 x -1)))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(*.f64 1 (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(fma.f64 x x x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 x x x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (-.f64 1 x)) (pow.f64 x 4)))
(.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 x (+.f64 x -1)))
(*.f64 (+.f64 x 1) x)
(fma.f64 x x x)
(.f64 (.f64 (+.f64 x 1) 1) x)
(fma.f64 x x x)
(.f64 (.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 x x x)
(.f64 (.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 x x x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (-.f64 1 x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) x) (-.f64 (pow.f64 x 4) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 x (+.f64 x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (-.f64 1 x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (-.f64 1 x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 x (+.f64 x -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (-.f64 1 x)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (neg.f64 (-.f64 (.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 x (+.f64 x -1)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) (-.f64 x (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 x (+.f64 x -1)))
(pow.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(fma.f64 x x x)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(fma.f64 x x x)
(log.f64 (exp.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(exp.f64 (log.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 x x x)
(fma.f64 1 (*.f64 x x) x)
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x x)

eval55.0ms (2.6%)

Compiler: Compiled 1788 to 1299 computations (27.3% saved)

prune15.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	1	0	1
Done	4	2	6
Total	117	3	120

Accurracy

100.0%

Counts

120 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
▶	98.7%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))

Compiler

Compiled 56 to 46 computations (17.9% saved)

localize20.0ms (1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.9%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))

Compiler

Compiled 100 to 81 computations (19% saved)

regimes26.0ms (1.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Calls

4 calls:

7.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
7.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 102 to 81 computations (20.6% saved)

regimes8.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Outputs
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 64 to 51 computations (20.3% saved)

regimes7.0ms (0.3%)

Accuracy

Total -63.2b remaining (-7583.9%)

Threshold costs -63.2b (-7583.9%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))

Outputs
(.f64 1/2 (.f64 2 x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
1	26	71
2	30	71
3	32	71
4	33	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 1/2 (.f64 2 x))

Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness420.0ms (19.9%)

Rules

2026×	`fma-def`
1412×	`times-frac`
1108×	`distribute-lft-in`
1088×	`distribute-rgt-in`
1054×	`log-prod`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	20	29
2	31	29
3	49	29
4	66	29
5	89	29
6	142	29
7	240	25
8	390	25
9	551	25
10	680	25
11	867	25
12	1151	25
13	1987	25
14	3216	25
15	3833	25
16	3865	25
17	3897	25
18	3937	25
19	3937	25
0	312	4840
1	795	4506
2	2498	4486
0	10	51
1	227	51
2	2981	51

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 75 to 60 computations (20% saved)

end0.0ms (0%)

preprocess33.0ms (1.6%)

Compiler: Compiled 74 to 60 computations (18.9% saved)

analyze2.0ms (0.1%)

sample567.0ms (26.8%)

preprocess15.0ms (0.7%)

simplify107.0ms (5.1%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize183.0ms (8.7%)

series4.0ms (0.2%)

rewrite77.0ms (3.7%)

simplify127.0ms (6%)

eval91.0ms (4.3%)

prune40.0ms (1.9%)

localize128.0ms (6.1%)

eval0.0ms (0%)

prune5.0ms (0.3%)

localize36.0ms (1.7%)

series2.0ms (0.1%)

rewrite62.0ms (2.9%)

simplify69.0ms (3.3%)

eval55.0ms (2.6%)

prune15.0ms (0.7%)

localize20.0ms (1%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes26.0ms (1.2%)

regimes8.0ms (0.4%)

regimes7.0ms (0.3%)

simplify6.0ms (0.3%)

soundness420.0ms (19.9%)

end0.0ms (0%)

preprocess33.0ms (1.6%)

Profiling