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)

sample530.0ms (25.8%)

Results

519.0ms	8256×	body	256	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess14.0ms (0.7%)

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)

simplify126.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 7

Calls

Call 1

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

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

eval2.0ms (0.1%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Accurracy

100.0%

Counts

8 → 1

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))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize45.0ms (2.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	100.0%	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 37 to 28 computations (24.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	0	(/.f64 (*.f64 2 x) (-.f64 1 x))

rewrite154.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`log-prod`
898×	`prod-diff`
576×	`prod-exp`
534×	`pow-prod-down`
448×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	209	42
2	2690	42

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

simplify92.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1686×	`fma-def`
908×	`fma-neg`
802×	`associate-/l*`
736×	`log-prod`
472×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3055
1	693	2959
2	2058	2927
3	7481	2927

Stop Event

1×	node limit

Counts

111 → 167

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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) 1)))
(.f64 2 (.f64 x (/.f64 1 (-.f64 1 x))))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(.f64 1 (.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 1)
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 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 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 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 (cbrt.f64 (.f64 4 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (*.f64 x x))) (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 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(.f64 (/.f64 (+.f64 x x) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (/.f64 1 x) 1))) -1))
(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)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) (.f64 2 (/.f64 x (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))) (log.f64 (-.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(.f64 1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))) 2))

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 (+.f64 x x) (+.f64 x (fma.f64 x x 1)))
(+.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 (.f64 x (fma.f64 x x x))) (pow.f64 x 4)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.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))))))
(neg.f64 (+.f64 2 (+.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)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.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))))))
(neg.f64 (+.f64 2 (+.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)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) 1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 2 (.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 1 (.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (+.f64 x x))))
(.f64 (cbrt.f64 (.f64 x (*.f64 x 4))) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.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 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 x (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 x (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.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 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x x) (cbrt.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 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(.f64 (pow.f64 (-.f64 1 x) -1/2) (.f64 2 (/.f64 x (sqrt.f64 (-.f64 1 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (+.f64 x x))))
(.f64 (cbrt.f64 (.f64 x (*.f64 x 4))) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (.f64 x (.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (/.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 x (*.f64 x 4))) (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 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.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 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (+.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (fma.f64 x x x)))))
(.f64 (/.f64 (+.f64 x x) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(.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)))
(/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) -1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -3))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) 1) -1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) -1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1) 1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 3))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/3))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (/.f64 1 x) 1))) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x x)) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 (+.f64 x x)) 1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 (.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) (.f64 2 (/.f64 x (-.f64 1 x)))))))
(-.f64 (log1p.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) -1) 1/2) -3)) (log1p.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (.f64 -2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) -1/2) -3)) (log1p.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (.f64 -2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -3)) (log1p.f64 (fma.f64 2 (/.f64 x (+.f64 x -1)) (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))) (log.f64 (-.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))) (log.f64 (+.f64 1 (*.f64 -2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (/.f64 -4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (log1p.f64 (*.f64 -2 (/.f64 x (-.f64 1 x)))))
(-.f64 (log1p.f64 (/.f64 -4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x -1)))))
(.f64 1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) 1/2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 1))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1) 1))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))) 3))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1/3))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))

eval112.0ms (5.5%)

Compiler: Compiled 2718 to 2160 computations (20.5% saved)

prune86.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	5	168

Accurracy

100.0%

Counts

168 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	98.4%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	99.6%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize15.0ms (0.7%)

Compiler: Compiled 10 to 10 computations (0% saved)

localize83.0ms (4.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 38 to 16 computations (57.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite153.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	196	19
2	2599	19

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

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

simplify83.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1660×	`fma-def`
738×	`fma-neg`
704×	`associate-+r+`
676×	`log-prod`
618×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	972
1	204	868
2	607	768
3	2571	752
4	5905	752

Stop Event

1×	node limit

Counts

28 → 72

Calls

Call 1

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

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

localize28.0ms (1.4%)

Compiler: Compiled 17 to 7 computations (58.8% saved)

localize52.0ms (2.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 38 to 30 computations (21.1% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))

rewrite92.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`pow1`
1126×	`add-exp-log`
1126×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
1102×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1571	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))

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

simplify55.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2262×	`log-prod`
952×	`exp-sum`
820×	`distribute-rgt-in`
818×	`distribute-lft-in`
644×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	98	209
2	312	143
3	1878	143
4	6000	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

eval70.0ms (3.4%)

Compiler: Compiled 1343 to 1059 computations (21.1% saved)

prune10.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	3	1	4
Total	88	3	91

Accurracy

100.0%

Counts

91 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	99.6%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize21.0ms (1%)

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	99.6%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes26.0ms (1.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))

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

Calls

4 calls:

9.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
6.0ms	x
4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(.f64 1/2 (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 77 to 60 computations (22.1% saved)

regimes19.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

6.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(.f64 1/2 (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 66 to 51 computations (22.7% saved)

regimes6.0ms (0.3%)

Accuracy

Total -63.8b remaining (-25930.2%)

Threshold costs -63.8b (-25930.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	29	73
2	33	73
3	35	73
4	36	73

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (.f64 2 x))

Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness126.0ms (6.1%)

Rules

1686×	`fma-def`
908×	`fma-neg`
802×	`associate-/l*`
736×	`log-prod`
472×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3055
1	693	2959
2	2058	2927
3	7481	2927

Stop Event

1×	node limit

Compiler

Compiled 33 to 26 computations (21.2% saved)

end40.0ms (1.9%)

Compiler: Compiled 76 to 62 computations (18.4% saved)

Details

analyze2.0ms (0.1%)

sample530.0ms (25.8%)

preprocess14.0ms (0.7%)

simplify126.0ms (6.1%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

localize45.0ms (2.2%)

series2.0ms (0.1%)

rewrite154.0ms (7.5%)

simplify92.0ms (4.5%)

eval112.0ms (5.5%)

prune86.0ms (4.2%)

localize15.0ms (0.7%)

localize83.0ms (4.1%)

series1.0ms (0.1%)

rewrite153.0ms (7.4%)

simplify83.0ms (4%)

localize28.0ms (1.4%)

localize52.0ms (2.5%)

series1.0ms (0.1%)

rewrite92.0ms (4.5%)

simplify55.0ms (2.7%)

eval70.0ms (3.4%)

prune10.0ms (0.5%)

localize21.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes26.0ms (1.3%)

regimes19.0ms (0.9%)

regimes6.0ms (0.3%)

simplify6.0ms (0.3%)

soundness126.0ms (6.1%)

end40.0ms (1.9%)

Profiling