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)

sample782.0ms (26.2%)

Results

773.0ms	8256×	body	256	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess14.0ms (0.5%)

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)

simplify119.0ms (4%)

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%)

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)

localize48.0ms (1.6%)

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)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (2.6%)

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))

simplify93.0ms (3.1%)

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))))

eval58.0ms (2%)

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

prune23.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	162	5	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	6	168

Accurracy

100.0%

Counts

168 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶	97.3%	(*.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 x 1))))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 113 to 91 computations (19.5% saved)

localize127.0ms (4.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 71 to 35 computations (50.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite149.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`log-prod`
938×	`fma-def`
594×	`pow-prod-up`
558×	`pow-exp`
486×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	78
1	271	42
2	4188	42

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

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

simplify155.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1232×	`distribute-lft-in`
1138×	`distribute-rgt-in`
594×	`unswap-sqr`
402×	`cancel-sign-sub-inv`
370×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	7079
1	997	5983
2	3628	5749

Stop Event

1×	node limit

Counts

151 → 249

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

localize75.0ms (2.5%)

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

localize24.0ms (0.8%)

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

localize98.0ms (3.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`log-prod`
854×	`prod-diff`
582×	`prod-exp`
538×	`pow-prod-down`
446×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	210	55
2	2571	55

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

922×	`unswap-sqr`
772×	`distribute-rgt-in`
772×	`distribute-lft-in`
622×	`fma-neg`
504×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	3249
1	756	3099
2	2353	3065

Stop Event

1×	node limit

Counts

139 → 189

Calls

Call 1

Inputs
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(*.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 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(.f64 (/.f64 2 (-.f64 1 (.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(pow.f64 (/.f64 (-.f64 1/2 (/.f64 x 2)) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 2 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (/.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(+.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 (-.f64 1 x) x))
(/.f64 1 (/.f64 (-.f64 1 x) (*.f64 2 x)))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -2 x) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 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 2 (/.f64 x (-.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 x) (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 2 (-.f64 1 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (-.f64 (log.f64 (.f64 2 x)) (.f64 (log1p.f64 (neg.f64 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 2 (/.f64 x (-.f64 1 x))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 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 (pow.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 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
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 2))
(fma.f64 2 (fma.f64 x x x) 2)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 2)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 2))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 4))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 4))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4))))
(*.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 (pow.f64 x 3)) (.f64 x x)))
(*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(+.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 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4))))
(*.f64 2 (+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) (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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (+.f64 -2 (/.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 (/.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))))
(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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (+.f64 -2 (/.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 (/.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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(+.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))))
(+.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)))))
(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 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(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 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 2 (-.f64 1 (.f64 x x))) (+.f64 1 x))
(.f64 (+.f64 x 1) (/.f64 2 (-.f64 1 (.f64 x x))))
(/.f64 (fma.f64 2 x 2) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)))
(fabs.f64 (/.f64 2 (-.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(/.f64 2 (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(/.f64 2 (-.f64 1 x))
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(/.f64 1 (-.f64 1/2 (/.f64 x 2)))
(/.f64 1 (/.f64 (-.f64 1 x) 2))
(pow.f64 (/.f64 (-.f64 1/2 (/.f64 x 2)) 1) -1)
(/.f64 1 (-.f64 1/2 (/.f64 x 2)))
(/.f64 1 (/.f64 (-.f64 1 x) 2))
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)))
(fabs.f64 (/.f64 2 (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(/.f64 2 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 2 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(/.f64 2 (-.f64 1 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) 1))
(/.f64 2 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) 3))
(/.f64 2 (-.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 2 (-.f64 1 x)))) 1/3))
(/.f64 2 (-.f64 1 x))
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localize54.0ms (1.8%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
✓	99.7%	(/.f64 2 (+.f64 (/.f64 1 x) -1))

Compiler

Compiled 40 to 34 computations (15% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`unpow-prod-down`
900×	`log-prod`
492×	`pow-prod-down`
464×	`pow-prod-up`
458×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	231	42
2	2697	42

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

simplify96.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1584×	`fma-def`
1106×	`fma-neg`
762×	`log-prod`
624×	`unswap-sqr`
462×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	3124
1	661	2982
2	1923	2862
3	6516	2812

Stop Event

1×	node limit

Counts

106 → 166

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

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

eval303.0ms (10.2%)

Compiler: Compiled 11790 to 8601 computations (27% saved)

prune118.0ms (4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	604	0	604
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	604	6	610

Accurracy

100.0%

Counts

610 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
✓	97.3%	(*.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 x 1))))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 62 to 50 computations (19.4% saved)

regimes21.0ms (0.7%)

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

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

Calls

4 calls:

5.0ms	(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))
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 87 to 67 computations (23% saved)

regimes6.0ms (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 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -62.3b remaining (-3654.5%)

Threshold costs -62.3b (-3654.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
1	32	86
2	36	86
3	38	86
4	39	86

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 34 to 28 computations (17.6% saved)

soundness260.0ms (8.7%)

Rules

1686×	`fma-def`
1006×	`log-prod`
908×	`fma-neg`
898×	`prod-diff`
802×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	3055
1	693	2959
2	2058	2927
3	7481	2927
0	10	42
1	209	42
2	2690	42

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 44 to 35 computations (20.5% saved)

end38.0ms (1.3%)

Compiler: Compiled 84 to 68 computations (19% saved)

Rust f64::atanh

Details

analyze2.0ms (0.1%)

sample782.0ms (26.2%)

preprocess14.0ms (0.5%)

simplify119.0ms (4%)

eval2.0ms (0.1%)

prune1.0ms (0%)

localize48.0ms (1.6%)

series3.0ms (0.1%)

rewrite76.0ms (2.6%)

simplify93.0ms (3.1%)

eval58.0ms (2%)

prune23.0ms (0.8%)

localize127.0ms (4.3%)

series1.0ms (0%)

rewrite149.0ms (5%)

simplify155.0ms (5.2%)

localize75.0ms (2.5%)

localize24.0ms (0.8%)

localize98.0ms (3.3%)

series1.0ms (0%)

rewrite73.0ms (2.4%)

simplify73.0ms (2.5%)

localize54.0ms (1.8%)

series1.0ms (0%)

rewrite75.0ms (2.5%)

simplify96.0ms (3.2%)

eval303.0ms (10.2%)

prune118.0ms (4%)

regimes21.0ms (0.7%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

simplify6.0ms (0.2%)

soundness260.0ms (8.7%)

end38.0ms (1.3%)

Profiling