Details

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)

sample878.0ms (34.2%)

Results

868.0ms	8256×	body	256	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess46.0ms (1.8%)

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)

simplify121.0ms (4.7%)

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))))
▶	99.8%	(*.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)

localize108.0ms (4.2%)

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)

series2.0ms (0.1%)

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)

rewrite117.0ms (4.6%)

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)))))

simplify131.0ms (5.1%)

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))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
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(*.f64 (/.f64 x (-.f64 1/2 (/.f64 (pow.f64 x 3) 2))) (+.f64 1 (fma.f64 x x x)))
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(*.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)))

eval138.0ms (5.4%)

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

prune33.0ms (1.3%)

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))))
▶	97.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
▶	98.0%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶	99.1%	(.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))))
▶	97.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
▶	98.0%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶	99.1%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 262 to 210 computations (19.8% saved)

localize167.0ms (6.5%)

Compiler: Compiled 156 to 81 computations (48.1% saved)

eval0.0ms (0%)

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

prune6.0ms (0.2%)

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))))
✓	97.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓	98.0%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓	99.1%	(.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))))
✓	97.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓	98.0%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓	99.1%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 142 to 114 computations (19.7% saved)

localize102.0ms (4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 39 to 33 computations (15.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`pow1`
1556×	`add-exp-log`
1552×	`log1p-expm1-u`
1552×	`expm1-log1p-u`
1530×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	19
2	2236	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-r`
752×	`fma-def`
738×	`log-prod`
670×	`fma-neg`
658×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1002
1	253	858
2	846	714
3	4014	694

Stop Event

1×	node limit

Counts

34 → 65

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

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

eval57.0ms (2.2%)

Compiler: Compiled 926 to 781 computations (15.7% saved)

prune12.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	65	7	72

Accurracy

100.0%

Counts

72 → 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))))
✓	97.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓	98.0%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓	99.1%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 146 to 114 computations (21.9% saved)

regimes25.0ms (1%)

Counts

8 → 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 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
(*.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 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))

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

Calls

4 calls:

6.0ms	x
6.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(/.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 105 to 80 computations (23.8% saved)

regimes6.0ms (0.2%)

Counts

6 → 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 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes5.0ms (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 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes4.0ms (0.2%)

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 1 x))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

regimes4.0ms (0.2%)

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:

3.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
12×	`unsub-neg`
10×	`neg-mul-1`
10×	`+-commutative`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	115
1	42	115
2	49	115
3	55	115
4	63	115
5	74	115

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

Compiler

Compiled 45 to 37 computations (17.8% saved)

soundness425.0ms (16.5%)

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	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×	saturated

Compiler

Compiled 67 to 53 computations (20.9% saved)

end54.0ms (2.1%)

Compiler: Compiled 104 to 84 computations (19.2% saved)

Rust f64::atanh

Details

analyze2.0ms (0.1%)

sample878.0ms (34.2%)

preprocess46.0ms (1.8%)

simplify121.0ms (4.7%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize108.0ms (4.2%)

series2.0ms (0.1%)

rewrite117.0ms (4.6%)

simplify131.0ms (5.1%)

eval138.0ms (5.4%)

prune33.0ms (1.3%)

localize167.0ms (6.5%)

eval0.0ms (0%)

prune6.0ms (0.2%)

localize102.0ms (4%)

series0.0ms (0%)

rewrite60.0ms (2.3%)

simplify53.0ms (2.1%)

eval57.0ms (2.2%)

prune12.0ms (0.5%)

regimes25.0ms (1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

simplify7.0ms (0.3%)

soundness425.0ms (16.5%)

end54.0ms (2.1%)

Profiling