Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample859.0ms (44.4%)

Results

807.0ms	8256×	body	256	valid
0.0ms	6×	body	256	invalid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify123.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def`
516×	`associate-r`
410×	`associate-/r*`
372×	`associate-/l*`
344×	`associate-l`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	20	29
2	31	29
3	47	29
4	63	29
5	84	29
6	141	29
7	238	25
8	358	25
9	529	25
10	706	25
11	970	25
12	1290	25
13	2216	25
14	2893	25
15	3759	25
16	3785	25
17	3831	25
18	3871	25
19	3871	25

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0.1%)

Compiler: Compiled 59 to 48 computations (18.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.0b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))

Compiler

Compiled 22 to 19 computations (13.6% saved)

localize17.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
✓	0.2b	(/.f64 2 (-.f64 -1 (/.f64 -1 x)))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`associate-*r/`
858×	`*-commutative`
722×	`associate-*l/`
616×	`associate-/r*`
568×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	220	42
2	2717	42

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (.f64 x x)))) -1) (.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (.f64 x x)))) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (.f64 x x)))) (/.f64 -1 x)) (.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (.f64 x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1) (.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)) (.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 1 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(2) ((x .f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 -1 (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1 (/.f64 -1 (.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (/.f64 -1 (.f64 x x)))) (+.f64 -2 (.f64 2 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 2 (.f64 2 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 -1 (/.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 -1 (/.f64 1 (.f64 x x)))) (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 -1 (pow.f64 (/.f64 1 x) 3))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (+.f64 -1 (/.f64 1 (.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (.f64 x x))))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (.f64 x x))))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/2 (/.f64 -1 (.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 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(/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/2 (/.f64 -1 (*.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))

simplify146.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1270×	`fma-def`
872×	`unswap-sqr`
736×	`distribute-lft-in`
720×	`+-commutative`
648×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3586
1	665	3266
2	2139	3232
3	6812	3232

Stop Event

1×	node limit

Counts

98 → 159

Calls

Call 1

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

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

localize14.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 2 x) (-.f64 1 x))
✓	0.0b	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Compiler

Compiled 36 to 27 computations (25% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`associate-/r*`
1300×	`associate-*r/`
1128×	`associate-/l*`
940×	`*-commutative`
916×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	209	42
2	2693	42

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 x) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 x)) (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (/.f64 (cbrt.f64 (.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 -1 x)) (.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (fma.f64 x x x)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -2) (/.f64 1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)) (sqrt.f64 (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 2 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 2 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1/2) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 (.f64 2 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (.f64 (.f64 2 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 -1 x)) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 2 x)) (cbrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (.f64 2 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 2 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 (.f64 x x))) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (.f64 x (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x 1/2) 1) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (-.f64 1 x) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 1 x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (-.f64 1 x)) (cbrt.f64 (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 x) (neg.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (.f64 2 x)) 2))) (cbrt.f64 (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x -2) (neg.f64 (-.f64 1 (.f64 x x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x -2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x 1/2) (-.f64 1 (.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x 1/2) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 x) (/.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (/.f64 (+.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 x) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 2 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1 x)) (sqrt.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1/2) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 2)))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/2) 1) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (-.f64 1 x) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (-.f64 1 x)) (cbrt.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))) (cbrt.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/2) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1/2) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (/.f64 (+.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))))

simplify118.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/r*`
1048×	`distribute-lft-in`
1000×	`distribute-rgt-in`
948×	`unswap-sqr`
612×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	4160
1	877	3608
2	3224	3594

Stop Event

1×	node limit

Counts

124 → 195

Calls

Call 1

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

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

eval209.0ms (10.8%)

Compiler: Compiled 6442 to 5262 computations (18.3% saved)

prune73.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	352	2	354
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	352	4	356

Error

Counts

356 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	0.4b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))

Compiler

Compiled 40 to 34 computations (15% saved)

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize16.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite64.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1142×	`add-cube-cbrt`
1134×	`add-cbrt-cube`
1118×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1595	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))

simplify57.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
944×	`associate-*l/`
896×	`associate-*r/`
890×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	98	209
2	326	143
3	1684	143
4	6914	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 187 to 159 computations (15% saved)

prune9.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Error

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	0.4b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))

Compiler

Compiled 40 to 34 computations (15% saved)

regimes23.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	x
4.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.0b	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 67 to 54 computations (19.4% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.4b remaining (-172.7%)

Threshold costs -0.4b (-172.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	29	71
2	37	71
3	41	71
4	43	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 28 to 24 computations (14.3% saved)

soundness0.0ms (0%)

end27.0ms (1.4%)

Compiler: Compiled 26 to 22 computations (15.4% saved)

Details

analyze3.0ms (0.1%)

sample859.0ms (44.4%)

preprocess4.0ms (0.2%)

simplify123.0ms (6.3%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

localize17.0ms (0.9%)

series2.0ms (0.1%)

rewrite69.0ms (3.6%)

simplify146.0ms (7.6%)

localize14.0ms (0.7%)

series1.0ms (0.1%)

rewrite76.0ms (3.9%)

simplify118.0ms (6.1%)

eval209.0ms (10.8%)

prune73.0ms (3.8%)

localize5.0ms (0.2%)

localize16.0ms (0.8%)

series1.0ms (0.1%)

rewrite64.0ms (3.3%)

simplify57.0ms (3%)

eval5.0ms (0.2%)

prune9.0ms (0.5%)

regimes23.0ms (1.2%)

regimes4.0ms (0.2%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end27.0ms (1.4%)

Profiling