Details

analyze134.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.5s (48.2%)

Results

2.2s	2498×	body	8192	exit
1.1s	7769×	body	256	valid
103.0ms	218×	body	1024	valid
92.0ms	268×	body	512	valid
23.0ms	165×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess70.0ms (1%)

Algorithm

2×	egg-herbie

Rules

732×	`times-frac_binary64`
550×	`fma-def_binary64`
473×	`associate-/r/_binary64`
413×	`fabs-mul_binary64`
232×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	32	22
2	45	22
3	71	22
4	101	22
5	150	22
6	231	22
7	321	22
8	428	22
9	546	22
10	638	22
11	678	22
12	826	22
13	1267	22
14	3095	22
15	5889	22
16	7245	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-def_binary64`
369×	`times-frac_binary64`
368×	`associate-l_binary64`
315×	`associate-/l*_binary64`
289×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	30	11
3	47	11
4	66	11
5	100	11
6	154	11
7	206	11
8	275	11
9	354	11
10	416	11
11	442	11
12	521	11
13	749	11
14	1685	11
15	4925	11
16	6027	11
17	7666	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series44.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
19.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite35.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

318×	`pow1_binary64`
312×	`associate-l_binary64`
305×	`add-sqr-sqrt_binary64`
300×	`*-un-lft-identity_binary64`
291×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	73	5
2	819	5

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))))))

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
495×	`times-frac_binary64`
398×	`associate-*l/_binary64`
349×	`associate-/l*_binary64`
294×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	568
1	333	551
2	1023	544
3	4061	521

Stop Event

1×	node limit

Counts

56 → 76

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (exp.f64 (.f64 3 x))) (log1p.f64 (.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 5))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5/2))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (+.f64 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 1 (.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))

eval17.0ms (0.2%)

Compiler: Compiled 1196 to 533 computations (55.4% saved)

prune11.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	3	77

Error

0.6b

Counts

77 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.1b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	1.2b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	6.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize30.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
725×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	1999	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

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

Outputs

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

794×	`fma-neg_binary64`
548×	`fma-def_binary64`
419×	`associate-/l/_binary64`
299×	`distribute-rgt-neg-in_binary64`
224×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	795
1	297	735
2	1159	735
3	4872	675

Stop Event

1×	node limit

Counts

61 → 51

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
681×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	150	7
2	1870	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))

Outputs

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

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-neg_binary64`
429×	`associate-/r*_binary64`
412×	`cancel-sign-sub-inv_binary64`
394×	`associate-l_binary64`
351×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	674
1	233	587
2	730	481
3	4028	481

Stop Event

1×	node limit

Counts

38 → 44

Calls

Call 1

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

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

eval32.0ms (0.4%)

Compiler: Compiled 1495 to 976 computations (34.7% saved)

prune19.0ms (0.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	89	9	98

Error

0.6b

Counts

98 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.1b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2)) (*.f64 x y))
	12.4b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) (*.f64 x y))
▶	12.9b	(-.f64 (/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) (.f64 x y))
✓	11.1b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	46.2b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
	16.4b	(-.f64 (expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 x y))
▶	35.9b	(*.f64 y (neg.f64 x))
▶	27.6b	(log.f64 2)

Compiler

Compiled 200 to 155 computations (22.5% saved)

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)
✓	0.6b	(cbrt.f64 (*.f64 1/2 x))

Compiler

Compiled 54 to 40 computations (25.9% saved)

series8.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2))
1.0ms	x	@	0	(cbrt.f64 (*.f64 1/2 x))
1.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	181	22
2	1891	22

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2))

Outputs

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

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

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-def_binary64`
627×	`distribute-rgt-in_binary64`
589×	`distribute-lft-in_binary64`
382×	`times-frac_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	759
1	264	652
2	1019	549
3	3083	525

Stop Event

1×	node limit

Counts

64 → 83

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
797×	`add-log-exp_binary64`
797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
782×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	7
2	2177	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
707×	`times-frac_binary64`
367×	`associate-/l*_binary64`
293×	`cancel-sign-sub-inv_binary64`
263×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	902
1	387	840
2	1603	751

Stop Event

1×	node limit

Counts

73 → 69

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 1/2 x) (log.f64 2))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
✓	1.0b	(pow.f64 (log.f64 2) 2)
✓	6.5b	(/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))

Compiler

Compiled 103 to 74 computations (28.2% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
1.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`log-prod_binary64`
600×	`fma-def_binary64`
329×	`fma-neg_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	336	30
2	4630	30

Stop Event

1×	node limit

Counts

4 → 258

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 2)
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(-.f64 (*.f64 1/2 x) (log.f64 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (/.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1) (/.f64 (/.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/2 x (log.f64 1/2)) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 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1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (+.f64 (log.f64 1/2) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (.f64 (log.f64 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (log.f64 2) (.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4)))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (log.f64 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (log.f64 1/2) 1))))))

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

276×	`cancel-sign-sub-inv_binary64`
259×	`fma-neg_binary64`
255×	`div-sub_binary64`
251×	`times-frac_binary64`
236×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	557	5535
1	1259	5422
2	4511	5177

Stop Event

1×	node limit

Counts

294 → 409

Calls

Call 1

Inputs
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 -1 (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (log.f64 2) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(-.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (/.f64 (log.f64 2) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1)
(-.f64 (/.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1) (/.f64 (/.f64 (log.f64 2) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1))
(.f64 (fma.f64 1/2 x (log.f64 1/2)) (/.f64 1 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(*.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
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(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (fma.f64 1/2 x (log.f64 2)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))) (neg.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) 1) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2)) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(.f64 (.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) (hypot.f64 (.f64 1/2 x) (sqrt.f64 (.f64 (log.f64 2) (log.f64 1/2))))) (hypot.f64 (.f64 1/2 x) (sqrt.f64 (.f64 (log.f64 2) (log.f64 1/2)))))
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) -1)
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) x) 1/2))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 x))) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 3) (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 (.f64 x (.f64 x 1/4)) (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) (.f64 (.f64 (log.f64 2) (log.f64 1/2)) (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 x (*.f64 x 1/4))) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/4)) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) (.f64 x (.f64 x 1/4)) (.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) (.f64 (log.f64 2) (log.f64 1/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 x 1/4)))) (log.f64 2))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (*.f64 1/2 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 1/2))
(+.f64 (.f64 1/2 x) (.f64 (log.f64 1/2) 1))
(+.f64 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 1/2)) (+.f64 (log.f64 1/2) (log.f64 2)))
(+.f64 0 (fma.f64 1/2 x (log.f64 1/2)))
(+.f64 (log.f64 1/2) (*.f64 1/2 x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 1/2) x) 1/2)) (cbrt.f64 (.f64 (pow.f64 (exp.f64 1/2) x) 1/2)))) (log.f64 (cbrt.f64 (.f64 (pow.f64 (exp.f64 1/2) x) 1/2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 1/2) x) 1/2))) (log.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 1/2) x) 1/2))))
(*.f64 (fma.f64 1/2 x (log.f64 1/2)) 1)
(.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(*.f64 1 (fma.f64 1/2 x (log.f64 1/2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4)))))
(.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (log.f64 2))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (log.f64 2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 1/2) 3)) (fma.f64 x (.f64 x 1/4) (-.f64 (.f64 (log.f64 1/2) (log.f64 1/2)) (.f64 (.f64 1/2 x) (log.f64 1/2)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 1/2) (log.f64 1/2))) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 x))) 1/2))
(log.f64 (*.f64 1/2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 1/2 (+.f64 1 (expm1.f64 (.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 1/2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))) 1))
(fma.f64 1/2 x (log.f64 1/2))
(fma.f64 1/2 x (*.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 x 1/2 (*.f64 (log.f64 1/2) 1))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 1/2))
(fma.f64 (.f64 1/2 x) 1 (.f64 (log.f64 1/2) 1))
(fma.f64 (fma.f64 1/2 x (log.f64 1/2)) 1 (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (fma.f64 1/2 x (log.f64 1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (fma.f64 1/2 x (log.f64 1/2)) 1 (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 1 (*.f64 1/2 x) (log.f64 1/2))
(fma.f64 1 (.f64 1/2 x) (.f64 (log.f64 1/2) 1))
(fma.f64 1 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 1 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 1 (fma.f64 1/2 x (log.f64 1/2)) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 1 (log.f64 1/2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (cbrt.f64 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 (log.f64 1/2) 1))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 x (*.f64 x 1/4))) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 x (.f64 x 1/4))) (.f64 (log.f64 1/2) 1))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (.f64 1/2 x)) (.f64 (log.f64 1/2) 1))
(fma.f64 (sqrt.f64 (log.f64 2)) (neg.f64 (sqrt.f64 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/4)) (log.f64 1/2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/4)) (.f64 (log.f64 1/2) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (log.f64 1/2) 1))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 1/2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (*.f64 (log.f64 1/2) 1))
(fma.f64 -1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (.f64 1/2 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 x 1/4)))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 1/4)))) (.f64 (log.f64 1/2) 1))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (*.f64 1/2 x))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (log.f64 1/2) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (log.f64 1/2) 1))

Outputs
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 3) x)) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 3) x)) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x)))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x)))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 -1 (log.f64 2))
(neg.f64 (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (neg.f64 (/.f64 (log.f64 2) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(-.f64 (/.f64 (.f64 x 1/2) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (/.f64 (log.f64 2) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(-.f64 (/.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 1/2)) (/.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(-.f64 (.f64 x (/.f64 1/2 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))) (/.f64 (log.f64 2) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))
(-.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (/.f64 (log.f64 2) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(-.f64 (/.f64 (.f64 x 1/2) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (/.f64 (log.f64 2) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(-.f64 (/.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 1/2)) (/.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(-.f64 (.f64 x (/.f64 1/2 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))) (/.f64 (log.f64 2) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1)
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(-.f64 (/.f64 (/.f64 (.f64 1/2 x) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1) (/.f64 (/.f64 (log.f64 2) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1))
(-.f64 (/.f64 (.f64 x 1/2) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (/.f64 (log.f64 2) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(-.f64 (/.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 1/2)) (/.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(-.f64 (.f64 x (/.f64 1/2 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))) (/.f64 (log.f64 2) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(.f64 (fma.f64 1/2 x (log.f64 1/2)) (/.f64 1 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(*.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (/.f64 1 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2))) (/.f64 1 (neg.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (/.f64 1 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2)) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (/.f64 1 (hypot.f64 (.f64 1/2 x) (sqrt.f64 (.f64 (log.f64 2) (log.f64 1/2))))) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (hypot.f64 (.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (log.f64 1/2))))))
(.f64 (/.f64 1 (hypot.f64 (.f64 x 1/2) (sqrt.f64 (.f64 (log.f64 2) (log.f64 1/2))))) (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (hypot.f64 (.f64 x 1/2) (sqrt.f64 (*.f64 (log.f64 2) (log.f64 1/2))))))
(/.f64 (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (hypot.f64 (.f64 x 1/2) (sqrt.f64 (.f64 (log.f64 2) (log.f64 1/2))))) (hypot.f64 (.f64 x 1/2) (sqrt.f64 (.f64 (log.f64 2) (log.f64 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 1/2))) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 1/2))) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 1/2))) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
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(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1 (*.f64 1/2 x) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 1 (.f64 1/2 x) (.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 1 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 1 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 1 (fma.f64 1/2 x (log.f64 1/2)) (+.f64 (log.f64 1/2) (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 1 (log.f64 1/2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (cbrt.f64 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (+.f64 (log.f64 1/2) (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 x (*.f64 x 1/4))) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 x (.f64 x 1/4))) (.f64 (log.f64 1/2) 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (.f64 1/2 x)) (.f64 (log.f64 1/2) 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 2)) (neg.f64 (sqrt.f64 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/4)) (log.f64 1/2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/4)) (.f64 (log.f64 1/2) 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/4)) (log.f64 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (*.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 -1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 (*.f64 x x) 1/4))) (+.f64 (log.f64 2) (log.f64 1/2)))
(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 x (*.f64 x 1/4)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 1/4 (*.f64 x x)))))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 (.f64 x x) 1/4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 1/4 (*.f64 x x))))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)) (.f64 x (*.f64 x 1/4)))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 (*.f64 x x) 1/4))) (+.f64 (log.f64 2) (log.f64 1/2)))
(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 x (*.f64 x 1/4)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x 1/2 (log.f64 2)) (.f64 1/4 (*.f64 x x)))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 x 1/4)))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/4))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 x 1/4)))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 1/4 (*.f64 x x)))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 1/4)))) (.f64 (log.f64 1/2) 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/4))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 x (*.f64 x 1/4)))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 1/4 (*.f64 x x)))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (fma.f64 (log.f64 1/2) 1 (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (+.f64 (log.f64 2) (log.f64 1/2)))
(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 2))) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (+.f64 (log.f64 2) (neg.f64 (log.f64 2))))
(+.f64 0 (-.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2))) (+.f64 (log.f64 1/2) (log.f64 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (log.f64 2))) (+.f64 (log.f64 2) (log.f64 1/2)))
(+.f64 (+.f64 (log.f64 2) (log.f64 1/2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(-.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (log.f64 1/2) 1))
(fma.f64 x 1/2 (log.f64 1/2))

eval291.0ms (4%)

Compiler: Compiled 15560 to 11438 computations (26.5% saved)

prune118.0ms (1.6%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	581	10	591
Fresh	1	1	2
Picked	1	0	1
Done	1	5	6
Total	584	16	600

Error

0.6b

Counts

600 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	58.5b	(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))
▶	46.4b	(-.f64 (/.f64 1 (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))) (*.f64 x y))
▶	46.2b	(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
▶	11.1b	(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 x y))
	15.8b	(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1)) (*.f64 x y))
	15.9b	(-.f64 (/.f64 1 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))) (.f64 x y))
	15.8b	(-.f64 (/.f64 1 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))) (.f64 x y))
▶	15.8b	(-.f64 (/.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (*.f64 x y))
✓	11.1b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	46.2b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
	16.4b	(-.f64 (expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 x y))
	46.2b	(*.f64 (-.f64 1/2 y) x)
✓	35.9b	(*.f64 y (neg.f64 x))
▶	61.8b	(*.f64 1/2 x)
✓	27.6b	(log.f64 2)

Compiler

Compiled 403 to 319 computations (20.8% saved)

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 1/2 (log.f64 2))
✓	0.0b	(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
✓	0.1b	(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 46 to 35 computations (23.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`log1p-expm1-u_binary64`
611×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	185	24
2	1800	24

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

547×	`log-div_binary64`
497×	`fma-neg_binary64`
457×	`associate-/l*_binary64`
396×	`associate-*l/_binary64`
391×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1330
1	373	1236
2	1486	1182
3	7169	1182

Stop Event

1×	node limit

Counts

113 → 90

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 (.f64 x 1/2) 1) (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 -1 (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (.f64 (exp.f64 (.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) -1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 (.f64 x 1/2) 1) (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 -1 (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1))
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2)))))
(/.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(/.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2))
(/.f64 -1 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 (neg.f64 (fma.f64 x 1/2 (log.f64 2))) -1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x 1/2) (log.f64 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (.f64 (exp.f64 (.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 3)) x) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 3)) x) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 (/.f64 -4 x) (/.f64 (log.f64 2) x) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (/.f64 2 x))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 (/.f64 -4 x) (/.f64 (log.f64 2) x) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (/.f64 2 x))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 (.f64 x 1/2) 1) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 -1 (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1))
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 (exp.f64 (.f64 x 1/2)) 2))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 -1 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 0)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 (.f64 x 1/2) 1) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 -1 (neg.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1))
(fma.f64 1/2 x (log.f64 2))
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(/.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(/.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2))
(/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2))
(/.f64 -1 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(/.f64 (neg.f64 (fma.f64 x 1/2 (log.f64 2))) -1)
(fma.f64 1/2 x (log.f64 2))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 x (.f64 1/4 x) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)) (.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x 1/2) (log.f64 2)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 (exp.f64 (.f64 x 1/2)) 2))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))

localize12.0ms (0.2%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
✓	0.3b	(/.f64 1 (/.f64 2 x))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series14.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
0.0ms	x	@	inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 2 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 2 x))
0.0ms	y	@	inf	(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`log-prod_binary64`
350×	`prod-exp_binary64`
346×	`exp-prod_binary64`
276×	`pow-prod-down_binary64`
249×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	202	11
2	2685	11

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x))) (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (fma.f64 1/4 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x))) (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (pow.f64 (exp.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x 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(pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 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x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 -2 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (/.f64 -2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)) (*.f64 1/4 (*.f64 x x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) -2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) -2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (neg.f64 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 y)) 1))))))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

599×	`unswap-sqr_binary64`
411×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`
301×	`cancel-sign-sub-inv_binary64`
258×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	1961
1	807	1853
2	2574	1807

Stop Event

1×	node limit

Counts

203 → 191

Calls

Call 1

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

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

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (log.f64 2) x) x)
✓	0.3b	(/.f64 (log.f64 2) x)
✓	0.3b	(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
✓	0.5b	(/.f64 1 (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))

Compiler

Compiled 66 to 46 computations (30.3% saved)

series27.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(/.f64 (log.f64 2) x)
7.0ms	x	@	0	(/.f64 (log.f64 2) x)
1.0ms	x	@	0	(/.f64 1 (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))
1.0ms	x	@	0	(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
414×	`exp-prod_binary64`
278×	`pow-prod-down_binary64`
275×	`pow2_binary64`
194×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	234	50
2	2922	50

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

Inputs
(/.f64 1 (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))
(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
(/.f64 (log.f64 2) x)
(/.f64 (/.f64 (log.f64 2) x) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -1/2) (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 2 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (pow.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 2) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)) (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 2)) x) (/.f64 (sqrt.f64 (log.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 1/2) x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (log.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) x) (/.f64 (cbrt.f64 (log.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 2) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) 1) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 (log.f64 2) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -1/2) (/.f64 (/.f64 (log.f64 2) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 2) (sqrt.f64 x)) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (log.f64 2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (/.f64 (log.f64 2) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x x) (log.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (log.f64 2) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 2 (pow.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 2 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (log.f64 2) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 1) 1))))))

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-/l/_binary64`
349×	`associate-/r/_binary64`
303×	`sqr-pow_binary64`
282×	`log-prod_binary64`
186×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	3563
1	1051	3437
2	3412	3433

Stop Event

1×	node limit

Counts

222 → 288

Calls

Call 1

Inputs
(*.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (*.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3))))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(+.f64 0 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))) 1)
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(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 2)
(pow.f64 (/.f64 x (/.f64 (log.f64 2) x)) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (/.f64 (log.f64 2) x)) 1) -1)
(pow.f64 (/.f64 (*.f64 x x) (log.f64 2)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))))
(neg.f64 (/.f64 (/.f64 (log.f64 2) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 2 (pow.f64 x -2)) 1)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(log1p.f64 (-.f64 (pow.f64 2 (pow.f64 x -2)) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 2)) x)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (log.f64 2) x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 1) 1))

Outputs
(*.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2)))
(.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)))
(/.f64 (.f64 -1/4 (.f64 x x)) (log.f64 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (/.f64 (.f64 -1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 2)))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(fma.f64 -1/4 (.f64 x (/.f64 x (log.f64 2))) (.f64 (/.f64 -1/8 (pow.f64 (log.f64 2) 2)) (pow.f64 x 3)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (*.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (/.f64 (.f64 -1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 3))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)))))
(fma.f64 -1/4 (.f64 x (/.f64 x (log.f64 2))) (fma.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)) (.f64 (/.f64 -1/8 (pow.f64 (log.f64 2) 2)) (pow.f64 x 3))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4)) (fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (/.f64 (.f64 -1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 3)))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4)) (fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4)) (fma.f64 -1/4 (.f64 x (/.f64 x (log.f64 2))) (fma.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)) (.f64 (/.f64 -1/8 (pow.f64 (log.f64 2) 2)) (pow.f64 x 3)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))
(fma.f64 x 1/2 (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 (/.f64 2 x) (pow.f64 (log.f64 2) 2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))
(fma.f64 x 1/2 (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 (/.f64 2 x) (pow.f64 (log.f64 2) 2))))
(*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2)))
(.f64 -4 (/.f64 (log.f64 2) (.f64 x x)))
(.f64 (log.f64 2) (.f64 (pow.f64 x -2) -4))
(.f64 (/.f64 -4 (.f64 x x)) (log.f64 2))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))
(fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (pow.f64 x 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(+.f64 0 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))
(/.f64 1 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))
(/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))) 1)
(/.f64 1 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))
(/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))
(*.f64 1 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))
(/.f64 1 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))
(/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))
(*.f64 (/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))) 1)
(/.f64 1 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))
(/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2)))
(/.f64 (.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)) -2))) (cbrt.f64 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2)) (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)) -2)) (cbrt.f64 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))
(/.f64 (.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)) -2))) (cbrt.f64 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -2)) (cbrt.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)) -2)) (cbrt.f64 (fma.f64 -4 (.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x))))
(*.f64 (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -1/2) (pow.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)) -1/2))
(/.f64 1 (fma.f64 -4 (*.f64 (log.f64 2) (pow.f64 x -2)) (/.f64 2 x)))
(/.f64 1 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2))) (/.f64 2 x)))))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 2) x)) 1) 1))
(/.f64 (log.f64 2) x)
(+.f64 0 (log.f64 (pow.f64 2 (pow.f64 x -2))))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 2 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 2 (pow.f64 x -2)))))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 1)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 1 (log.f64 (pow.f64 2 (pow.f64 x -2))))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (log.f64 2) (pow.f64 x -2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))) 1)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)))
(.f64 (cbrt.f64 (.f64 (log.f64 2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)) (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(.f64 (cbrt.f64 (.f64 (log.f64 2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (/.f64 1 x)))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) (/.f64 (sqrt.f64 (log.f64 2)) x))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (/.f64 1 x)))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (/.f64 (log.f64 1/2) x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (log.f64 1/2) x))
(/.f64 (log.f64 1/2) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (log.f64 2) x))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) x) (/.f64 (cbrt.f64 (log.f64 2)) x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (/.f64 (cbrt.f64 (log.f64 2)) x)) x)
(*.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) (/.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) x))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (log.f64 2)) x) x) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(*.f64 (/.f64 (log.f64 2) 1) (pow.f64 x -2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) x))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) 1) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) x))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 (log.f64 2) x) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log.f64 2) (.f64 (cbrt.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log.f64 2) (.f64 x (cbrt.f64 x))))
(/.f64 (.f64 (log.f64 2) (pow.f64 (cbrt.f64 x) -2)) (.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (log.f64 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 (log.f64 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 (log.f64 2) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (log.f64 2) (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(.f64 (cbrt.f64 (.f64 (log.f64 2) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) x)) (cbrt.f64 x)))
(.f64 (/.f64 (log.f64 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 (log.f64 2) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (log.f64 2) (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (log.f64 2) x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (log.f64 2) (.f64 (sqrt.f64 x) x)))
(.f64 (pow.f64 x -1/2) (/.f64 (log.f64 2) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (log.f64 2) (sqrt.f64 x)) (pow.f64 x -3/2))
(/.f64 (*.f64 (log.f64 2) (pow.f64 x -3/2)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (log.f64 2) x)) (sqrt.f64 x)))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))) 1)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4) 1/2)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6) 1/3)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 3)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 2)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (log.f64 2) x)) -1)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) (pow.f64 x 3)) 1/3)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (/.f64 (/.f64 x (/.f64 (log.f64 2) x)) 1) -1)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 x x) (log.f64 2)) -1)
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 2) (pow.f64 x -2)))) 2)) (cbrt.f64 (log.f64 (.f64 (log.f64 2) (pow.f64 x -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (log.f64 2) (pow.f64 x -2))))) (sqrt.f64 (log.f64 (.f64 (log.f64 2) (pow.f64 x -2)))))
(neg.f64 (/.f64 (/.f64 (log.f64 2) x) (neg.f64 x)))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 4))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(/.f64 (log.f64 2) (*.f64 x x))
(*.f64 (log.f64 2) (pow.f64 x -2))
(log.f64 (+.f64 1 (-.f64 (pow.f64 2 (pow.f64 x -2)) 1)))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) x) 3) (pow.f64 x 3)))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(log1p.f64 (-.f64 (pow.f64 2 (pow.f64 x -2)) 1))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 1))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 2)) x) 6)) 1/3))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 2 (pow.f64 x -2))))) 3))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 2)) x)) 2))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (log.f64 2) x))) -1))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (pow.f64 2 (pow.f64 x -2)))) 1) 1))
(/.f64 (log.f64 2) (*.f64 x x))
(log.f64 (pow.f64 2 (pow.f64 x -2)))
(*.f64 (log.f64 2) (pow.f64 x -2))

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
✓	0.0b	(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
✓	0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
✓	2.2b	(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
1.0ms	x	@	0	(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
0.0ms	x	@	-inf	(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
0.0ms	x	@	0	(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
0.0ms	x	@	inf	(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	205	39
2	2200	39

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))

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

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

528×	`associate-/r*_binary64`
467×	`associate-*l/_binary64`
454×	`associate-/l*_binary64`
379×	`distribute-rgt-in_binary64`
373×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2207
1	577	2166
2	2249	2098

Stop Event

1×	node limit

Counts

145 → 136

Calls

Call 1

Inputs
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(exp.f64 (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (/.f64 1 (log.f64 2))) x) (pow.f64 (log.f64 2) 2))) (exp.f64 (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (/.f64 1 (log.f64 2))) x) (pow.f64 (log.f64 2) 2))) (+.f64 (exp.f64 (/.f64 1 (log.f64 2))) (.f64 (exp.f64 (/.f64 1 (log.f64 2))) (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 4))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (/.f64 1 (log.f64 2))) x) (pow.f64 (log.f64 2) 2))) (+.f64 (exp.f64 (/.f64 1 (log.f64 2))) (+.f64 (.f64 -1 (.f64 (exp.f64 (/.f64 1 (log.f64 2))) (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 4))) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (log.f64 2) 6))) (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (pow.f64 x 3)))) (.f64 (exp.f64 (/.f64 1 (log.f64 2))) (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 4))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -8 (/.f64 (log.f64 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 8 (log.f64 2)) (.f64 -8 (pow.f64 (log.f64 2) 2))) 4/3) (pow.f64 x 3)))))))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (neg.f64 (neg.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 -1 (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (/.f64 -1 (fma.f64 1/2 x (log.f64 2))) -1)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 (.f64 1/2 x) 1) (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 -1 (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) -1))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) -1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (.f64 (exp.f64 (.f64 1/2 x)) 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2))
(*.f64 -1 (/.f64 -1 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(-.f64 (+.f64 1 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1)
(*.f64 1 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(pow.f64 (E.f64) (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2)
(pow.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))

Outputs
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 3) x)) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 3)) x) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 3) x)) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 3)) x) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x)))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))
(fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x)))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (log.f64 2) (*.f64 x x)) (/.f64 2 x))))
(fma.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)) (fma.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4)) (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 3) x)) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 3)) x) (/.f64 1 (log.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2)))))
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(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 (.f64 1/2 x) 1) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 -1 (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 -1 (/.f64 1 (/.f64 -1 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) -1))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) -1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (.f64 (exp.f64 (.f64 1/2 x)) 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 -1 (/.f64 -1 (fma.f64 1/2 x (log.f64 2))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) -1)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2) 2)
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 3))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 1 (fma.f64 1/2 x (log.f64 2)))
(/.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(-.f64 (+.f64 1 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1)
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 1 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1)
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (E.f64) (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 3) 1/3)
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 3)
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 2)
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) -1/2))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 2))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) 3))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 0)
(exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))

eval384.0ms (5.3%)

Compiler: Compiled 14420 to 10227 computations (29.1% saved)

prune156.0ms (2.2%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	698	7	705
Fresh	3	3	6
Picked	1	0	1
Done	0	9	9
Total	702	19	721

Error

0.6b

Counts

721 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	58.5b	(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))
✓	46.4b	(-.f64 (/.f64 1 (fma.f64 -4 (/.f64 (/.f64 (log.f64 2) x) x) (/.f64 2 x))) (*.f64 x y))
	46.3b	(-.f64 (/.f64 1 (fma.f64 -4 (/.f64 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 2 (/.f64 1 x))))) x) (/.f64 2 x))) (.f64 x y))
	46.3b	(-.f64 (/.f64 1 (fma.f64 -4 (.f64 3 (log.f64 (cbrt.f64 (pow.f64 2 (pow.f64 x -2))))) (/.f64 2 x))) (.f64 x y))
✓	46.2b	(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
✓	11.1b	(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 x y))
	15.8b	(-.f64 (/.f64 1 (-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))) 1)) (*.f64 x y))
	46.3b	(-.f64 (/.f64 1 (+.f64 (/.f64 2 x) (.f64 -4 (log.f64 (pow.f64 2 (pow.f64 x -2)))))) (.f64 x y))
	15.8b	(-.f64 (/.f64 1 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2)))))))) (.f64 x y))
	15.9b	(-.f64 (/.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 3))) (*.f64 x y))
	15.8b	(-.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 1 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) 1))) (*.f64 x y))
	54.8b	(-.f64 (/.f64 1 (log.f64 (+.f64 1 (/.f64 2 x)))) (*.f64 x y))
✓	11.1b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	46.2b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
	46.2b	(*.f64 (-.f64 1/2 y) x)
✓	35.9b	(*.f64 y (neg.f64 x))
✓	61.8b	(*.f64 1/2 x)
✓	27.6b	(log.f64 2)

Compiler

Compiled 273 to 215 computations (21.2% saved)

regimes70.0ms (1%)

Counts

28 → 1

Calls

Call 1

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

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

4 calls:

22.0ms	y
15.0ms	x
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`y`
1.2b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`
1.2b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 413 to 291 computations (29.5% saved)

regimes31.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
(-.f64 (/.f64 1 (log.f64 (+.f64 1 (/.f64 2 x)))) (*.f64 x y))

Outputs
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))

Calls

2 calls:

22.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.6b	2	`x`
6.0b	1	`y`

Compiler

Compiled 81 to 50 computations (38.3% saved)

bsearch39.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-84094.02205656822	-8187.385400836529

Results

23.0ms	31×	body	1024	valid
9.0ms	48×	body	256	valid
4.0ms	15×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 136 to 102 computations (25% saved)

regimes29.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 x y))

Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

2 calls:

16.0ms	y
10.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
6.0b	1	`y`

Compiler

Compiled 59 to 36 computations (39% saved)

bsearch35.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	-84094.02205656822	-8187.385400836529

Results

17.0ms	22×	body	1024	valid
9.0ms	53×	body	256	valid
5.0ms	17×	body	512	valid
4.0ms	4×	body	2048	valid

Compiler

Compiled 112 to 84 computations (25% saved)

regimes68.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))
(log.f64 2)

Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)

Calls

2 calls:

48.0ms	y
18.0ms	x

Results

Error	Segments	Branch
9.8b	3	`x`
16.8b	9	`y`

Compiler

Compiled 53 to 33 computations (37.7% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.0708350508126616e-33	1.162840503363657e-31
13.0ms	-2.0772914260986557e-13	-7.823583051310085e-14

Results

28.0ms

192×

body

256

valid

Compiler

Compiled 167 to 139 computations (16.8% saved)

regimes22.0ms (0.3%)

Accuracy

Total -26.8b remaining (-74.7%)

Threshold costs -26.8b (-74.7%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (/.f64 1 (/.f64 2 x)) (*.f64 x y))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))

Outputs
(*.f64 y (neg.f64 x))

Calls

2 calls:

15.0ms	y
4.0ms	x

Results

Error	Segments	Branch
35.9b	1	`x`
35.9b	1	`y`

Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
7×	`sub-neg_binary64`
6×	`cancel-sign-sub-inv_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	97
1	51	97
2	66	97
3	71	97
4	73	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -8500) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -8500) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6338253001141147/39614081257132168796771975168) (.f64 y (neg.f64 x)) (if (<=.f64 x 1598517415830675/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -8500) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -8500) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -8500) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -8500) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8500) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6338253001141147/39614081257132168796771975168) (.f64 y (neg.f64 x)) (if (<=.f64 x 1598517415830675/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -6338253001141147/39614081257132168796771975168) (.f64 y (neg.f64 x)) (if (<=.f64 x 1598517415830675/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6338253001141147/39614081257132168796771975168) (.f64 x (neg.f64 y)) (if (<=.f64 x 1598517415830675/22835963083295358096932575511191922182123945984) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 77 to 54 computations (29.9% saved)

soundness422.0ms (5.8%)

Algorithm

3×	egg-herbie

Rules

794×	`fma-neg_binary64`
548×	`fma-def_binary64`
479×	`fma-def_binary64`
479×	`fma-def_binary64`
419×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	30	11
3	47	11
4	66	11
5	100	11
6	154	11
7	206	11
8	275	11
9	354	11
10	416	11
11	442	11
12	521	11
13	749	11
14	1685	11
15	4925	11
16	6027	11
17	7666	11
0	106	795
1	297	735
2	1159	735
3	4872	675
0	9	11
1	19	11
2	30	11
3	47	11
4	66	11
5	100	11
6	154	11
7	206	11
8	275	11
9	354	11
10	416	11
11	442	11
12	521	11
13	749	11
14	1685	11
15	4925	11
16	6027	11
17	7666	11

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 59 to 41 computations (30.5% saved)

end50.0ms (0.7%)

Compiler: Compiled 67 to 36 computations (46.3% saved)

Details

analyze134.0ms (1.9%)

sample3.5s (48.2%)

preprocess70.0ms (1%)

simplify60.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series44.0ms (0.6%)

rewrite35.0ms (0.5%)

simplify47.0ms (0.7%)

eval17.0ms (0.2%)

prune11.0ms (0.1%)

localize30.0ms (0.4%)

series6.0ms (0.1%)

rewrite83.0ms (1.1%)

simplify60.0ms (0.8%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite43.0ms (0.6%)

simplify42.0ms (0.6%)

eval32.0ms (0.4%)

prune19.0ms (0.3%)

localize29.0ms (0.4%)

series8.0ms (0.1%)

rewrite50.0ms (0.7%)

simplify40.0ms (0.6%)

localize4.0ms (0.1%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite49.0ms (0.7%)

simplify41.0ms (0.6%)

localize4.0ms (0.1%)

localize54.0ms (0.7%)

series6.0ms (0.1%)

rewrite83.0ms (1.2%)

simplify108.0ms (1.5%)

eval291.0ms (4%)

prune118.0ms (1.6%)

localize26.0ms (0.4%)

series3.0ms (0%)

rewrite49.0ms (0.7%)

simplify56.0ms (0.8%)

localize12.0ms (0.2%)

localize10.0ms (0.1%)

series14.0ms (0.2%)

rewrite66.0ms (0.9%)

simplify64.0ms (0.9%)

localize48.0ms (0.7%)

series27.0ms (0.4%)

rewrite79.0ms (1.1%)

simplify98.0ms (1.4%)

localize54.0ms (0.7%)

series8.0ms (0.1%)

rewrite56.0ms (0.8%)

simplify66.0ms (0.9%)

eval384.0ms (5.3%)

prune156.0ms (2.2%)

regimes70.0ms (1%)

regimes31.0ms (0.4%)

bsearch39.0ms (0.5%)

regimes29.0ms (0.4%)

bsearch35.0ms (0.5%)

regimes68.0ms (0.9%)

bsearch30.0ms (0.4%)

regimes22.0ms (0.3%)

simplify9.0ms (0.1%)

soundness422.0ms (5.8%)

end50.0ms (0.7%)

Profiling