Details

analyze4.0ms (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)

sample633.0ms (24.9%)

Results

622.0ms	8256×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess15.0ms (0.6%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
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)

simplify78.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
380×	`fma-neg_binary64`
251×	`times-frac_binary64`
239×	`div-sub_binary64`
176×	`associate-/l*_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	29	15
3	46	15
4	63	15
5	86	15
6	139	15
7	238	13
8	382	13
9	525	13
10	653	13
11	846	13
12	1118	13
13	1913	13
14	2897	13
15	3520	13
16	3552	13
17	3584	13
18	3620	13
19	3620	13

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

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

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

eval2.0ms (0.1%)

Compiler: Compiled 79 to 63 computations (20.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

0.0b

Counts

9 → 1

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))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize14.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 27 computations (25% saved)

series307.0ms (12.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
155.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
145.0ms	x	@	inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
3.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
1.0ms	x	@	-inf	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 30002 to 26888 computations (10.4% saved)

rewrite49.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
854×	`add-log-exp_binary64`
853×	`expm1-log1p-u_binary64`
852×	`log1p-expm1-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	170	22
2	2249	22

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify40.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary64`
580×	`associate-/l*_binary64`
429×	`associate-*l/_binary64`
360×	`unswap-sqr_binary64`
359×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1255
1	522	1098
2	1905	947

Stop Event

1×	node limit

Counts

74 → 105

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

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

eval35.0ms (1.4%)

Compiler: Compiled 1615 to 1314 computations (18.6% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Error

Counts

106 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	58.8b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	1.1b	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 50 to 43 computations (14% saved)

localize5.0ms (0.2%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.3%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize24.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	6.5b	(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))

Compiler

Compiled 64 to 50 computations (21.9% saved)

series740.0ms (29.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
247.0ms	x	@	inf	(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
195.0ms	x	@	-inf	(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
154.0ms	x	@	-inf	(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
139.0ms	x	@	inf	(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
1.0ms	x	@	inf	(/.f64 x (-.f64 1 x))

Compiler

Compiled 59710 to 53514 computations (10.4% saved)

rewrite92.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`prod-diff_binary64`
475×	`log-prod_binary64`
285×	`fma-def_binary64`
263×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	230	31
2	3260	31

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs
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Outputs

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

simplify106.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

500×	`distribute-rgt-in_binary64`
452×	`distribute-lft-in_binary64`
356×	`associate-/l*_binary64`
356×	`unswap-sqr_binary64`
310×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	3723
1	717	3563
2	2277	3538

Stop Event

1×	node limit

Counts

185 → 181

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

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

localize16.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series7.0ms (0.3%)

Counts

2 → 17

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
1.0ms	x	@	-inf	(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
1.0ms	x	@	inf	(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))

Compiler

Compiled 234 to 201 computations (14.1% saved)

rewrite54.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	200	18
2	2377	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.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 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 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 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))) (#(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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4) (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 4/9) (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (*.f64 (pow.f64 x 6) 4/9) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 x x) 4)) (-.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 x 2))))))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg_binary64`
413×	`distribute-rgt-neg-in_binary64`
393×	`div-sub_binary64`
365×	`fma-def_binary64`
299×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1203
1	321	1067
2	1079	948
3	4361	948

Stop Event

1×	node limit

Counts

65 → 74

Calls

Call 1

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

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

eval114.0ms (4.5%)

Compiler: Compiled 5337 to 4482 computations (16% saved)

prune36.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	254	1	255
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	256	4	260

Error

Counts

260 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	58.8b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
▶	0.3b	(.f64 1/2 (.f64 x 2))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 44 to 37 computations (15.9% saved)

localize5.0ms (0.2%)

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

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	58.8b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
✓	0.3b	(.f64 1/2 (.f64 x 2))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes63.0ms (2.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
7.0ms	x
5.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(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 81 to 66 computations (18.5% saved)

regimes4.0ms (0.2%)

Accuracy

Total -63.7b remaining (-18913.2%)

Threshold costs -63.7b (-18913.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	19	22
2	23	22
3	25	22
4	26	22

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 (.f64 x 2))

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

soundness0.0ms (0%)

end19.0ms (0.8%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

Details

analyze4.0ms (0.1%)

sample633.0ms (24.9%)

preprocess15.0ms (0.6%)

simplify78.0ms (3.1%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize14.0ms (0.6%)

series307.0ms (12.1%)

rewrite49.0ms (1.9%)

simplify40.0ms (1.6%)

eval35.0ms (1.4%)

prune13.0ms (0.5%)

localize5.0ms (0.2%)

localize7.0ms (0.3%)

localize24.0ms (0.9%)

series740.0ms (29.1%)

rewrite92.0ms (3.6%)

simplify106.0ms (4.2%)

localize16.0ms (0.6%)

series7.0ms (0.3%)

rewrite54.0ms (2.1%)

simplify53.0ms (2.1%)

eval114.0ms (4.5%)

prune36.0ms (1.4%)

localize5.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes63.0ms (2.5%)

regimes4.0ms (0.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end19.0ms (0.8%)

Profiling