Details

analyze1.1s (10.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample7.6s (73.4%)

Results

6.2s	8303×	body	8192	exit
1.4s	8256×	body	256	valid

Bogosity

preprocess16.0ms (0.2%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify118.0ms (1.1%)

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%)

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

prune3.0ms (0%)

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))))
▶	99.8%	(*.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))))
▶	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize235.0ms (2.3%)

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)
✓	99.7%	(/.f64 2 (/.f64 (-.f64 1 x) x))

Compiler

Compiled 74 to 55 computations (25.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (0.8%)

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)))))

simplify80.0ms (0.8%)

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))
(*.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))
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(*.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)))

eval62.0ms (0.6%)

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

prune27.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	171	5	176

Accurracy

100.0%

Counts

176 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 (fma.f64 x x x)) (-.f64 1 (*.f64 x x)))))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	98.4%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 (fma.f64 x x x)) (-.f64 1 (*.f64 x x)))))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	98.4%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 100 to 78 computations (22% saved)

localize283.0ms (2.7%)

Compiler: Compiled 87 to 43 computations (50.6% saved)

eval0.0ms (0%)

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

prune14.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	2	2
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 (fma.f64 x x x)) (-.f64 1 (*.f64 x x)))))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	98.4%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 96 to 74 computations (22.9% saved)

regimes31.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms	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 76 to 58 computations (23.7% saved)

regimes19.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

5.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms	x
4.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 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 61 to 48 computations (21.3% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
8×	`sub-neg`
8×	`+-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	129
1	45	129
2	53	129
3	57	129
4	59	129

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 50 to 39 computations (22% saved)

soundness540.0ms (5.2%)

Rules

2026×	`fma-def`
1412×	`times-frac`
1412×	`times-frac`
1108×	`distribute-lft-in`
1108×	`distribute-lft-in`

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	10	51
1	227	51
2	2981	51
0	312	4840
1	795	4506
2	2498	4486
0	312	4840
1	795	4506
2	2498	4486

Stop Event

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

Compiler

Compiled 392 to 268 computations (31.6% saved)

end108.0ms (1%)

Compiler: Compiled 114 to 88 computations (22.8% saved)

Rust f64::atanh

Details

analyze1.1s (10.7%)

sample7.6s (73.4%)

preprocess16.0ms (0.2%)

simplify118.0ms (1.1%)

eval2.0ms (0%)

prune3.0ms (0%)

localize235.0ms (2.3%)

series2.0ms (0%)

rewrite87.0ms (0.8%)

simplify80.0ms (0.8%)

eval62.0ms (0.6%)

prune27.0ms (0.3%)

localize283.0ms (2.7%)

eval0.0ms (0%)

prune14.0ms (0.1%)

regimes31.0ms (0.3%)

regimes19.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

simplify7.0ms (0.1%)

soundness540.0ms (5.2%)

end108.0ms (1%)

Profiling