Metrics for Rust f64::atanh

analyze2.0ms (0%)

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)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-atanh, time spent: 1.0ms, 178.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample907.0ms (22.4%)

Results

873.0ms	8255×	valid
0.0ms	4×	invalid
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

Operation ival-atanh, time spent: 71.0ms, 86.0% of total-time

Operation const, time spent: 7.0ms, 9.0% of total-time

Operation backward-pass, time spent: 4.0ms, 5.0% of total-time

Bogosity

preprocess852.0ms (21%)

Algorithm

1×	egg-herbie

Rules

260×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
30×	`*-commutative`
28×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 2 x)`
-	-	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
-	-	`1/2`
-	-	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
-	-	`(-.f64 1 x)`
-	-	`2`
-	-	`1`
-	-	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 85 to 65 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation composed, time spent: 475.0ms, 45.0% of total-time

Operation ival-log, time spent: 453.0ms, 43.0% of total-time

Operation ival-mult, time spent: 47.0ms, 4.0% of total-time

Operation ival-div, time spent: 38.0ms, 4.0% of total-time

Operation ival-sub, time spent: 26.0ms, 2.0% of total-time

Operation ival-add, time spent: 13.0ms, 1.0% of total-time

Operation const, time spent: 9.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

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))))
▶	99.9%	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize633.0ms (15.6%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 74 to 56 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

Operation composed, time spent: 220.0ms, 32.0% of total-time

Operation ival-log, time spent: 194.0ms, 28.0% of total-time

Operation ival-mult, time spent: 136.0ms, 20.0% of total-time

Operation ival-sub, time spent: 74.0ms, 11.0% of total-time

Operation ival-div, time spent: 34.0ms, 5.0% of total-time

Operation ival-add, time spent: 18.0ms, 3.0% of total-time

Operation const, time spent: 8.0ms, 1.0% of total-time

series14.0ms (0.3%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
1.0ms	x	@	0	(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
1.0ms	x	@	-inf	(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
1.0ms	x	@	inf	(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
1.0ms	x	@	inf	(/.f64 2 (-.f64 1 x))

rewrite220.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`prod-diff`
894×	`log-prod`
793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
256×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	200	124
2	2168	124

Stop Event

1×	node limit

Counts

5 → 165

Calls

Call 1

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

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

simplify117.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

856×	`log-prod`
510×	`cube-prod`
504×	`distribute-lft-neg-out`
490×	`exp-prod`
420×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	328	6820
1	817	6230
2	3368	6230

Stop Event

1×	node limit

Counts

225 → 208

Calls

Call 1

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

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

eval78.0ms (1.9%)

Compiler: Compiled 3302 to 2739 computations (17.1% saved)

prune30.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	206	4	210

Accuracy

100.0%

Counts

210 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	98.3%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))

Compiler

Compiled 40 to 34 computations (15% saved)

localize586.0ms (14.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))
✓	100.0%	(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
✓	99.8%	(/.f64 2 (+.f64 (/.f64 1 x) -1))

Compiler

Compiled 87 to 70 computations (19.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

Operation ival-mult, time spent: 102.0ms, 23.0% of total-time

Operation composed, time spent: 93.0ms, 21.0% of total-time

Operation ival-log, time spent: 81.0ms, 18.0% of total-time

Operation ival-div, time spent: 71.0ms, 16.0% of total-time

Operation ival-pow, time spent: 62.0ms, 14.0% of total-time

Operation ival-add, time spent: 27.0ms, 6.0% of total-time

Operation const, time spent: 11.0ms, 2.0% of total-time

series10.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
1.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	0	(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
1.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))

rewrite106.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`unpow-prod-down`
796×	`log-prod`
760×	`log1p-expm1-u`
760×	`expm1-log1p-u`
344×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	182	64
2	2188	64

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (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 (/.f64 2 (+.f64 (/.f64 1 x) -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))))
(*.f64 -2 (pow.f64 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))) 1))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2) -1))
(*.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) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(*.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 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/3) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(.f64 (pow.f64 (.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3) (pow.f64 (*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 2) 1/3) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 x) -1) 1/2)) (cbrt.f64 (.f64 (+.f64 (/.f64 1 x) -1) 1/2))) -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 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 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)
(neg.f64 (/.f64 -2 (+.f64 (/.f64 1 x) -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 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (expm1.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 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 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))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (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 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (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 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 (/.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 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (log.f64 (exp.f64 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 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(*.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 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3) (pow.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 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 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(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))) 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 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))

simplify221.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

800×	`log-prod`
604×	`cancel-sign-sub-inv`
578×	`exp-prod`
576×	`distribute-lft-in`
560×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	4710
1	941	4591
2	3276	4552

Stop Event

1×	node limit

Counts

143 → 204

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (.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 2/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (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 (/.f64 2 (+.f64 (/.f64 1 x) -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))))
(*.f64 -2 (pow.f64 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))) 1))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2) -1))
(*.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) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(*.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 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 1/3) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(.f64 (pow.f64 (.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3) (pow.f64 (*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) 2) 1/3) (pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 x) -1) 1/2)) (cbrt.f64 (.f64 (+.f64 (/.f64 1 x) -1) 1/2))) -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 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 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)
(neg.f64 (/.f64 -2 (+.f64 (/.f64 1 x) -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 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (expm1.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 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 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))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (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 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (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 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 (/.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 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (log.f64 (exp.f64 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 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(*.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 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3) (pow.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 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 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(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))) 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 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 2 (pow.f64 x 2) (*.f64 2 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (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 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.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 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (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 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (/.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 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))))
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(-.f64 (log1p.f64 (/.f64 -8 (pow.f64 (+.f64 1 (/.f64 -1 x)) 3))) (log1p.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (/.f64 2 (+.f64 1 (/.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.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 (/.f64 1 x) -1)))))
(-.f64 (log1p.f64 (/.f64 -4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (log1p.f64 (/.f64 2 (+.f64 1 (/.f64 -1 x)))))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (log.f64 (exp.f64 1)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.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)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))) 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)))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))))) 2))
(*.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)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.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)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))) 2)))
(.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3) (pow.f64 (*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.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))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) 7) (cbrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(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)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(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)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)) 1/3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(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)))
(log1p.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 x))))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 2/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 2/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(*.f64 (pow.f64 x 3) 2/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(*.f64 (pow.f64 x 3) 2/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 2/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) 2/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(*.f64 (pow.f64 x 3) 2/3)
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 1/3))
(*.f64 (pow.f64 x 3) 2/3)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(*.f64 (pow.f64 x 3) 2/3)

eval96.0ms (2.4%)

Compiler: Compiled 3953 to 3550 computations (10.2% saved)

prune84.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	204	4	208

Accuracy

100.0%

Counts

208 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	98.3%	(.f64 1/2 (.f64 2 x))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))

Compiler

Compiled 87 to 73 computations (16.1% saved)

regimes20.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	31	86
2	35	86
3	37	86
4	38	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 x (/.f64 2 (-.f64 1 x)))))
(.f64 1/2 (.f64 2 x))

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

Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness30.0ms (0.7%)

Rules

260×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
30×	`*-commutative`
28×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

Stop Event

1×

saturated

Compiler

Compiled 31 to 25 computations (19.4% saved)

end0.0ms (0%)

preprocess36.0ms (0.9%)

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

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

analyze2.0ms (0%)

sample907.0ms (22.4%)

preprocess852.0ms (21%)

eval0.0ms (0%)

prune1.0ms (0%)

localize633.0ms (15.6%)

series14.0ms (0.3%)

rewrite220.0ms (5.4%)

simplify117.0ms (2.9%)

eval78.0ms (1.9%)

prune30.0ms (0.7%)

localize586.0ms (14.5%)

series10.0ms (0.2%)

rewrite106.0ms (2.6%)

simplify221.0ms (5.5%)

eval96.0ms (2.4%)

prune84.0ms (2.1%)

regimes20.0ms (0.5%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness30.0ms (0.7%)

end0.0ms (0%)

preprocess36.0ms (0.9%)

Profiling

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	375	71
11	393	71
12	456	71
13	458	71