Details

analyze195.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
43.7%	51.5%	4.8%	7
48.4%	46.8%	4.8%	8
55.4%	37.5%	7.1%	9
58.1%	34.7%	7.1%	10
61.9%	29.9%	8.3%	11
63.3%	28.4%	8.3%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.6s (31.1%)

Results

2.3s	2441×	body	8192	exit
1.1s	7784×	body	256	valid
120.0ms	226×	body	1024	valid
82.0ms	244×	body	512	valid
20.0ms	127×	body	256	invalid
2.0ms	2×	body	2048	valid

preprocess60.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

732×	`times-frac_binary64`
550×	`fma-def_binary64`
438×	`associate-/r/_binary64`
411×	`fabs-mul_binary64`
311×	`sqr-pow_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	320	22
8	425	22
9	543	22
10	635	22
11	675	22
12	823	22
13	1264	22
14	2823	22
15	5548	22
16	6917	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))
(-.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)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-def_binary64`
423×	`fabs-mul_binary64`
369×	`times-frac_binary64`
363×	`associate-l_binary64`
304×	`fabs-div_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	205	11
8	273	11
9	352	11
10	414	11
11	440	11
12	519	11
13	747	11
14	1549	11
15	4642	11
16	5736	11
17	7224	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

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(log1p.f64 (exp.f64 x))
	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series59.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
23.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
6.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
733×	`add-log-exp_binary64`
733×	`expm1-log1p-u_binary64`
732×	`log1p-expm1-u_binary64`
716×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	147	16
2	2012	16

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

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

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-neg_binary64`
566×	`associate-l_binary64`
538×	`distribute-lft-out_binary64`
418×	`distribute-rgt-neg-in_binary64`
383×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	363
1	86	333
2	182	333
3	431	321
4	1390	321
5	3741	321

Stop Event

1×	node limit

Counts

88 → 71

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)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))

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)))
(fma.f64 x (fma.f64 x 1/8 1/2) (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))))
(fma.f64 x (fma.f64 x 1/8 1/2) (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))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval23.0ms (0.2%)

Compiler: Compiled 977 to 351 computations (64.1% saved)

prune12.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Error

0.2b

Counts

72 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	12.9b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	33.8b	(*.f64 x (neg.f64 y))
▶	7.6b	(-.f64 (log.f64 2) (*.f64 x y))
▶	12.9b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	12.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

Compiler

Compiled 99 to 74 computations (25.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite46.0ms (0.4%)

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	1997	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 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)))))) (#(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 log1p.f64 (expm1.f64 (-.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 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)))))) (#(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 log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))))

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

101×	`fma-def_binary64`
56×	`fma-neg_binary64`
27×	`cancel-sign-sub-inv_binary64`
17×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	15	192
2	32	192
3	45	192
4	57	192
5	88	192
6	148	192
7	196	192
8	253	192
9	340	192
10	390	192
11	396	192

Stop Event

1×

saturated

Counts

61 → 42

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)))

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

localize4.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`prod-diff_binary64`
599×	`unpow-prod-down_binary64`
435×	`log-prod_binary64`
278×	`fma-def_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	200	17
2	2626	17

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

269×	`fma-neg_binary64`
253×	`fma-def_binary64`
83×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`
36×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	250
1	33	223
2	64	205
3	107	205
4	160	205
5	253	205
6	449	205
7	667	205
8	875	205
9	1094	205
10	1114	205

Stop Event

1×

saturated

Counts

114 → 97

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`fma-def_binary64`
530×	`log-prod_binary64`
371×	`pow-prod-down_binary64`
291×	`pow2_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	225	13
2	3150	13

Stop Event

1×	node limit

Counts

1 → 148

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

267×	`fma-neg_binary64`
260×	`fma-def_binary64`
85×	`cancel-sign-sub-inv_binary64`
42×	`sub-neg_binary64`
41×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	216
1	40	216
2	65	216
3	112	216
4	163	216
5	259	216
6	462	216
7	681	216
8	889	216
9	1108	216
10	1128	216

Stop Event

1×

saturated

Counts

172 → 159

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
776×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	10
2	2028	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

267×	`fma-neg_binary64`
251×	`fma-def_binary64`
87×	`cancel-sign-sub-inv_binary64`
43×	`sub-neg_binary64`
40×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	216
1	33	216
2	60	216
3	106	216
4	157	216
5	252	216
6	454	216
7	665	216
8	877	216
9	1096	216
10	1116	216

Stop Event

1×

saturated

Counts

45 → 30

Calls

Call 1

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

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

eval122.0ms (1%)

Compiler: Compiled 5185 to 3377 computations (34.9% saved)

prune69.0ms (0.6%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	323	5	328
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	323	11	334

Error

0.2b

Counts

334 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.4b	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
✓	12.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	12.9b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	33.8b	(*.f64 x (neg.f64 y))
✓	7.6b	(-.f64 (log.f64 2) (*.f64 x y))
✓	12.9b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	45.5b	(*.f64 (-.f64 1/2 y) x)
▶	29.8b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	30.2b	(log.f64 2)
▶	38.7b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize77.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
	0.6b	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
	0.0b	(sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
	0.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	0.0b	(sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
✓	0.6b	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
✓	0.6b	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
✓	1.1b	(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

Compiler

Compiled 70 to 55 computations (21.4% saved)

series60.0ms (0.5%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
7.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
6.0ms	y	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
6.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
6.0ms	y	@	0	(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
354×	`exp-prod_binary64`
293×	`pow-prod-down_binary64`
288×	`pow2_binary64`
207×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	279	47
2	3084	47

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6) (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/18) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/12) (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/18) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/6 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)))))))

simplify225.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-l_binary64`
657×	`fma-def_binary64`
398×	`times-frac_binary64`
395×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	9020
1	2142	7860

Stop Event

1×	node limit

Counts

284 → 322

Calls

Call 1

Inputs
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/9) (.f64 y x))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/9) (.f64 y x))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/9) (.f64 y x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/3))))
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x))))))
(sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))
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(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
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(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))))) (.f64 y x))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (.f64 (+.f64 (.f64 1/72 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (pow.f64 x 2))) (.f64 -1/12 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (pow.f64 x 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))))) (.f64 y x))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/1296 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))) (.f64 1/72 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 3)) (/.f64 (.f64 (+.f64 (.f64 1/72 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (pow.f64 x 2))) (.f64 -1/12 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (pow.f64 x 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (+.f64 1/2 (/.f64 (log.f64 2) x))) y)) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (+.f64 1/2 (/.f64 (log.f64 2) x))) y)) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (+.f64 (.f64 1/72 (pow.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) 2)) (.f64 -1/12 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (pow.f64 x 2))))) (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (+.f64 1/2 (/.f64 (log.f64 2) x))) y)) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (+.f64 (.f64 1/72 (pow.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) 2)) (.f64 -1/12 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (pow.f64 x 2))))) (pow.f64 y 2)) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3) (pow.f64 x 3))) (+.f64 (.f64 -1/72 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) (+.f64 1/2 (/.f64 (log.f64 2) x))) (pow.f64 x 2))) (.f64 1/1296 (pow.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) 3)))) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))) (pow.f64 y 3))))))
(pow.f64 (log.f64 2) 1/6)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) x))) (pow.f64 (log.f64 2) 1/6))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) x))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (.f64 1/72 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) 2))))) (pow.f64 (log.f64 2) 1/6)))
(+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (.f64 (+.f64 (.f64 -1/72 (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2)))) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/1296 (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) 3)) (.f64 1/18 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3))))) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) x))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (.f64 1/72 (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) 2))))) (pow.f64 (log.f64 2) 1/6))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/72 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 -1/12 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 2)) (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/72 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 -1/12 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 2)) (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 1/18 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (.f64 1/1296 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)))))) (pow.f64 x 3)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (log.f64 2)) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (log.f64 2)) (.f64 (-.f64 1/2 y) x))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (+.f64 (.f64 1/72 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (log.f64 2)) (.f64 (-.f64 1/2 y) x))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (+.f64 (.f64 -1/1296 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 1/72 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)))))) (pow.f64 x 3))) (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (+.f64 (.f64 1/72 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)))))

Outputs
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/9) (.f64 y x))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 x y)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) y)) x) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/9) (.f64 y x))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (.f64 x y)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) y)) x) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (.f64 x (.f64 x (.f64 y y)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/9) (.f64 y x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/3) (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1/3))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (.f64 x y)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)) (.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)))) (pow.f64 y 3))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (.f64 (.f64 y y) (*.f64 x x))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) y)) x) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)) 5/27) (pow.f64 y 3))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (.f64 x (.f64 x (.f64 y y)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (log.f64 2)))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x)))))
(fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 (.f64 x x) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (.f64 x (.f64 x (pow.f64 (-.f64 1/2 y) 2))))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (log.f64 2))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x))))))
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(+.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (.f64 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (/.f64 x -5/72))) (fma.f64 1/6 (.f64 (/.f64 (log.f64 2) x) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (-.f64 1/2 y))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))))))
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(+.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) (-.f64 1/2 y)) (/.f64 (log.f64 2) x)) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y)))))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) (/.f64 (pow.f64 x 3) (fma.f64 -1/1296 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) -1/24)))) (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))) (/.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)) -5/72)))))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (.f64 (/.f64 x (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (/.f64 x -5/72))) (.f64 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) -55/1296))) (fma.f64 1/6 (.f64 (/.f64 (log.f64 2) x) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (-.f64 1/2 y))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize4.0ms (0%)

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

localize12.0ms (0.1%)

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

localize24.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.4b	(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
	0.0b	(*.f64 (-.f64 1/2 y) x)
	0.0b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓	0.0b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	2.4b	(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`prod-diff_binary64`
473×	`log-prod_binary64`
310×	`pow-prod-down_binary64`
291×	`fma-def_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	224	17
2	2835	17

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

269×	`fma-neg_binary64`
253×	`fma-def_binary64`
83×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`
36×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	538
1	36	379
2	66	379
3	107	379
4	160	379
5	253	379
6	449	379
7	667	379
8	873	379
9	1092	379
10	1112	379

Stop Event

1×

saturated

Counts

164 → 125

Calls

Call 1

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

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

eval1.0s (8.9%)

Compiler: Compiled 38111 to 31745 computations (16.7% saved)

prune151.0ms (1.3%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	741	8	749
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	743	17	760

Error

0.2b

Counts

760 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.0b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
✓	45.5b	(*.f64 (-.f64 1/2 y) x)
▶	31.4b	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
▶	59.3b	(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	12.9b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
	54.7b	(+.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
✓	33.8b	(*.f64 x (neg.f64 y))
✓	7.6b	(-.f64 (log.f64 2) (*.f64 x y))
▶	21.3b	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
✓	12.9b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	12.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	29.8b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	30.2b	(log.f64 2)
▶	61.8b	(*.f64 1/2 x)
	45.5b	(+.f64 (.f64 1/2 x) (.f64 (neg.f64 y) x))
	47.0b	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))

Compiler

Compiled 421 to 344 computations (18.3% saved)

localize68.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
	0.1b	(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
	0.0b	(log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
	0.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	0.1b	(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
✓	0.6b	(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
✓	0.9b	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
✓	1.0b	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))

Compiler

Compiled 80 to 63 computations (21.3% saved)

series182.0ms (1.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
22.0ms	x	@	inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
18.0ms	x	@	-inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
13.0ms	y	@	-inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
13.0ms	x	@	0	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
383×	`exp-prod_binary64`
294×	`pow2_binary64`
285×	`pow-prod-down_binary64`
247×	`pow-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	269	60
2	2896	60

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

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

simplify438.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

735×	`distribute-rgt-in_binary64`
730×	`distribute-lft-in_binary64`
484×	`*-commutative_binary64`
318×	`times-frac_binary64`
254×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1050	39725
1	3832	34506

Stop Event

1×	node limit

Counts

265 → 361

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2) 1/3))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))))))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (.f64 (pow.f64 y 2) (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)))) (+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (.f64 1/2 x) (log.f64 2)))))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (+.f64 (.f64 -4/81 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 8)) 1/9) (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) x) (+.f64 (.f64 1/2 x) (log.f64 2))))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) x) (+.f64 (.f64 1/2 x) (log.f64 2))) (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 5)) 1/9) (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) x) (+.f64 (.f64 1/2 x) (log.f64 2))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))))))))))))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (.f64 (pow.f64 y 2) (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)))) (+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (.f64 1/2 x) (log.f64 2))))))))
(exp.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3))
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(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (log.f64 2)) 2)) 1/9) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (log.f64 2)) 2)) 1/3) (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (log.f64 2))) 1/9) (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) 2)))) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (log.f64 2)) 2)) 1/3) (.f64 (-.f64 (.f64 1/3 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (log.f64 2)) 2)) 1/3) (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (log.f64 2)) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (log.f64 2))) 1/9) (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2))) 2)))) (-.f64 (.f64 1/2 (/.f64 1 (log.f64 2))) (/.f64 y (log.f64 2)))))))) (pow.f64 x 3)))) (pow.f64 (log.f64 (log.f64 2)) 1/3))))
(pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (-.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 5)) 1/9) (/.f64 (.f64 (log.f64 2) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))))) (-.f64 1/2 y)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)))))) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))))
(pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/9) (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))))))
(+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/3))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/3) (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 5)) 1/9) (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))) (log.f64 2)) (-.f64 1/2 y)))))) (pow.f64 x 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))) 2)) 1/9) (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))))

Outputs
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2) 1/3))
(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2)))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))))))
(+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (.f64 (.f64 -2/3 (.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18))) (/.f64 y (/.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))))))))
(+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (.f64 -2/3 (.f64 (.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18)) (/.f64 y (/.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2)))))))))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (.f64 (pow.f64 y 2) (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)))) (+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (.f64 1/2 x) (log.f64 2)))))))
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(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)) (-.f64 -1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) 1/18))))) (.f64 x x))) (+.f64 (cbrt.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (-.f64 1/2 y) 3)) (-.f64 -1/3 (.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 2)))))) (.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 5)) 1/18))) (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)) (-.f64 -1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) 1/18))))) (/.f64 (-.f64 1/2 y) (log.f64 2))))) (pow.f64 x 3))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))) 2)) 1/18)) (/.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))))))

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	9.2b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	5.2b	(.f64 x (-.f64 1/4 (.f64 y y)))
✓	5.2b	(.f64 x (-.f64 1/4 (.f64 y y)))
✓	9.2b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series16.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(.f64 x (-.f64 1/4 (.f64 y y)))
1.0ms	x	@	0	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
1.0ms	y	@	inf	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
1.0ms	y	@	0	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
1.0ms	x	@	inf	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
342×	`pow-prod-down_binary64`
296×	`pow2_binary64`
205×	`pow1/3_binary64`
202×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	230	20
2	3207	20

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))))))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

575×	`cancel-sign-sub-inv_binary64`
559×	`fma-def_binary64`
535×	`fma-neg_binary64`
368×	`associate-/l*_binary64`
319×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	530
1	48	521
2	103	503
3	199	503
4	529	503
5	1741	503
6	4408	503
7	6937	503

Stop Event

1×	node limit

Counts

131 → 98

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (neg.f64 (/.f64 x (+.f64 y 1/2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 (-.f64 1/4 (.f64 y y)) x)
(*.f64 1/4 x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(.f64 -1 (.f64 (pow.f64 y 2) x))
(neg.f64 (.f64 (.f64 y y) x))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 y (.f64 y (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 (-.f64 1/4 (.f64 y y)) x)
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 (-.f64 1/4 (.f64 y y)) x)

localize59.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
	0.0b	(sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
	0.0b	(sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
	0.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	0.6b	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
✓	0.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
	1.1b	(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
✓	1.3b	(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))

Compiler

Compiled 95 to 77 computations (18.9% saved)

series12.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
4.0ms	x	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
1.0ms	x	@	0	(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))
0.0ms	x	@	-inf	(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
705×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	205	18
2	2073	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)

Outputs

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

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

908×	`times-frac_binary64`
667×	`distribute-rgt-in_binary64`
664×	`distribute-lft-in_binary64`
338×	`associate-r_binary64`
297×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	2209
1	773	1863
2	3493	1618

Stop Event

1×	node limit

Counts

60 → 75

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))))
(sqrt.f64 (log.f64 2))
(+.f64 (.f64 (+.f64 (.f64 1/12 (sqrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (log.f64 2))))) x) (sqrt.f64 (log.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 1/12 (sqrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/6 (sqrt.f64 (/.f64 1 (log.f64 2))))) x) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/288 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (.f64 1/72 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (+.f64 (.f64 -5/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3))))))) (sqrt.f64 (log.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 1/12 (sqrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/6 (sqrt.f64 (/.f64 1 (log.f64 2))))) x) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/288 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (.f64 1/72 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (+.f64 (.f64 -5/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3))))))) (+.f64 (sqrt.f64 (log.f64 2)) (.f64 (pow.f64 x 3) (+.f64 (.f64 -5/1728 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/6) (+.f64 (.f64 -5/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3))))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (+.f64 (.f64 55/5184 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/3)) (.f64 -5/1728 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/3)))) (*.f64 55/10368 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)))))))))))
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (log.f64 2)) x)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (.f64 2/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (log.f64 2)) x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (log.f64 2)) x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2))))))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (log.f64 2)) x)) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (log.f64 2)) x)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (.f64 (log.f64 2) (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (pow.f64 (log.f64 2) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (+.f64 (.f64 1/162 (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 -1/9 (pow.f64 (log.f64 2) 3)) (.f64 4/9 (pow.f64 (log.f64 2) 3)))))) (.f64 2/3 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 2) (.f64 (log.f64 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))))))) (pow.f64 x 3)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (log.f64 2)) x)) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (.f64 (log.f64 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (+.f64 (.f64 1/162 (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 -1/9 (pow.f64 (log.f64 2) 3)) (.f64 4/9 (pow.f64 (log.f64 2) 3))))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) 3) (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))))))))))))
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (.f64 (log.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3))) (.f64 -2/3 (.f64 (log.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))) x)) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 3))
(+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (.f64 (log.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3))) (.f64 -2/3 (.f64 (log.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))) x)) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (*.f64 -1/3 (pow.f64 (log.f64 2) 2))))))) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (.f64 (log.f64 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2))))))))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (log.f64 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (.f64 1/9 (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 -4/9 (pow.f64 (log.f64 2) 3)) (.f64 -1/162 (pow.f64 (log.f64 2) 3))))))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 (+.f64 (.f64 -4/9 (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/9 (pow.f64 (log.f64 2) 3)) (.f64 -1/162 (pow.f64 (log.f64 2) 3)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)) (.f64 -2/3 (.f64 (log.f64 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2))))))))) (pow.f64 x 3))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (.f64 (log.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3))) (.f64 -2/3 (.f64 (log.f64 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))) x)) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (.f64 -1/3 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3) (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (.f64 1/18 (pow.f64 (log.f64 2) 2)) (*.f64 -1/3 (pow.f64 (log.f64 2) 2))))))) (pow.f64 x 2)))))))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)))
(fma.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) x)) (cbrt.f64 (log.f64 2)))
(fma.f64 (.f64 (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(fma.f64 -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 x x)) (+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x))))
(fma.f64 -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) x)) (fma.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) x)) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 x x)) (fma.f64 (.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))))
(fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (pow.f64 x 3)) (fma.f64 -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 x x)) (+.f64 (cbrt.f64 (log.f64 2)) (.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)))))
(fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (fma.f64 -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) x)) (fma.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) x)) (cbrt.f64 (log.f64 2)))))
(fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (fma.f64 -1/36 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (.f64 x x)) (fma.f64 (.f64 (.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x (cbrt.f64 (log.f64 2)))))
(sqrt.f64 (log.f64 2))
(+.f64 (.f64 (+.f64 (.f64 1/12 (sqrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (log.f64 2))))) x) (sqrt.f64 (log.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) 1/4) x (sqrt.f64 (log.f64 2)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) 1/4) (sqrt.f64 (log.f64 2)))
(+.f64 (.f64 (+.f64 (.f64 1/12 (sqrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/6 (sqrt.f64 (/.f64 1 (log.f64 2))))) x) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/288 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (.f64 1/72 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (+.f64 (.f64 -5/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3))))))) (sqrt.f64 (log.f64 2))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) 1/4) x (fma.f64 (.f64 x x) (fma.f64 -5/288 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (fma.f64 1/72 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (log.f64 2) 1/6) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) -1/36)))) (sqrt.f64 (log.f64 2))))
(fma.f64 x (.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) 1/4) (fma.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (log.f64 2) 1/6) (.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) -1/288)) (sqrt.f64 (log.f64 2))))
(fma.f64 x (.f64 (sqrt.f64 (/.f64 1 (log.f64 2))) 1/4) (fma.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (.f64 -1/36 (pow.f64 (log.f64 2) 1/6))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) -1/288)) (sqrt.f64 (log.f64 2))))
(+.f64 (.f64 (+.f64 (.f64 1/12 (sqrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/6 (sqrt.f64 (/.f64 1 (log.f64 2))))) x) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/288 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (+.f64 (.f64 1/72 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (+.f64 (.f64 -5/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3))))))) (+.f64 (sqrt.f64 (log.f64 2)) (.f64 (pow.f64 x 3) (+.f64 (.f64 -5/1728 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/6) (+.f64 (.f64 -5/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3))))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/6) (+.f64 (.f64 55/5184 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/3)) (.f64 -5/1728 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/3)))) (*.f64 55/10368 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)))))))))))
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(fma.f64 -1 (/.f64 (fma.f64 -1/3 (.f64 (.f64 (log.f64 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x)))))) (fma.f64 1/9 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)) (.f64 (pow.f64 (log.f64 2) 2) -5/18)))) (fma.f64 (fma.f64 -2/3 (.f64 (log.f64 2) (.f64 (.f64 (pow.f64 (log.f64 2) 2) -5/18) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (fma.f64 1/9 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (log.f64 2) 3) -73/162))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 (fma.f64 -4/9 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (log.f64 2) 3) 17/162)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 3) (.f64 -2/3 (.f64 (log.f64 2) (.f64 (.f64 (pow.f64 (log.f64 2) 2) -5/18) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 3))))))) (pow.f64 x 3)) (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 3) (/.f64 (.f64 x x) (pow.f64 (log.f64 2) 2))) (fma.f64 -1 (/.f64 (.f64 (.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 3)) -1) x) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 3) (/.f64 (.f64 x x) (.f64 (pow.f64 (log.f64 2) 2) -5/18))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 3) (/.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/9 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)) (.f64 (pow.f64 (log.f64 2) 2) -5/18)))) (.f64 x x)))))))
(-.f64 (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3) (/.f64 (.f64 x x) (pow.f64 (log.f64 2) 2))) (-.f64 (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3) (/.f64 x (/.f64 (.f64 (pow.f64 (log.f64 2) 2) -5/18) x))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (log.f64 2) 2) 1/9) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3)) (.f64 2 (.f64 (pow.f64 (log.f64 2) 2) (.f64 -5/18 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3))))) (.f64 x x)))) (/.f64 (.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3)) (/.f64 x -1)))) (/.f64 (fma.f64 -1/3 (.f64 (log.f64 2) (+.f64 (.f64 (.f64 (pow.f64 (log.f64 2) 2) 1/9) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3)) (.f64 2 (.f64 (pow.f64 (log.f64 2) 2) (.f64 -5/18 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3)))))) (fma.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 2) (.f64 (pow.f64 (log.f64 2) 3) -55/162)) (.f64 -2/3 (.f64 (.f64 (pow.f64 (log.f64 2) 3) -5/18) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 2)))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3) (.f64 (pow.f64 (log.f64 2) 3) -55/162) (.f64 -2/3 (.f64 (.f64 (pow.f64 (log.f64 2) 3) -5/18) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) 3)))))) (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) (.f64 x x)) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) 1/3)) (+.f64 (.f64 (pow.f64 (log.f64 2) 2) 1/9) (.f64 2 (.f64 (pow.f64 (log.f64 2) 2) -5/18))))) (+.f64 (pow.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) 3) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) 3) x) (/.f64 (.f64 (pow.f64 (log.f64 2) 2) -5/18) x)))) (fma.f64 2/9 (.f64 (/.f64 (pow.f64 (log.f64 2) 2) x) (/.f64 (pow.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) 3) x)) (/.f64 (.f64 (log.f64 2) (pow.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) 3)) x))) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) 3) (+.f64 (.f64 (pow.f64 (log.f64 2) 3) -55/162) (.f64 (.f64 (log.f64 2) -2/3) (.f64 (pow.f64 (log.f64 2) 2) -5/18)))) (.f64 (.f64 (pow.f64 -1/2 1/6) (pow.f64 (/.f64 -1 x) -1/6)) (+.f64 (.f64 (.f64 (log.f64 2) -1/3) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) 1/3)) (+.f64 (.f64 (pow.f64 (log.f64 2) 2) 1/9) (.f64 2 (.f64 (pow.f64 (log.f64 2) 2) -5/18))))) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) 1/3)) (+.f64 (.f64 (.f64 (log.f64 2) -2/3) (.f64 (pow.f64 (log.f64 2) 2) -5/18)) (.f64 2 (.f64 (pow.f64 (log.f64 2) 3) -55/162))))))) (pow.f64 x 3)))

localize163.0ms (1.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (-.f64 1/2 y))
	0.0b	(*.f64 (-.f64 1/2 y) x)
	0.0b	(+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
	0.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	0.1b	(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x)))
	0.6b	(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
✓	1.0b	(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
	1.1b	(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

Compiler

Compiled 311 to 258 computations (17% saved)

series165.0ms (1.4%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
87.0ms	x	@	inf	(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x)))
30.0ms	x	@	0	(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
16.0ms	x	@	-inf	(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))
10.0ms	x	@	0	(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x)))
7.0ms	x	@	inf	(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

341×	`expm1-udef_binary64`
341×	`log1p-udef_binary64`
279×	`fma-def_binary64`
232×	`fma-neg_binary64`
221×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	448	37
2	6220	37

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))

(*.f64 1/6 (/.f64 (*.f64 (log.f64 2) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 (-.f64 1/2 y) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 2) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 1/6 (log.f64 (-.f64 1/2 y)))) (exp.f64 (*.f64 1/6 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/6) (log.f64 (-.f64 1/2 y))) (pow.f64 (exp.f64 1/6) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (pow.f64 (exp.f64 1/6) (log.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/6) (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (cbrt.f64 (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (*.f64 (/.f64 (-.f64 1/2 y) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (/.f64 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))) (*.f64 (-.f64 1/2 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (-.f64 1/2 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 1) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) x) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/6 (log.f64 2)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 2) 1/6) (/.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (log.f64 1/2)) 1/6) (*.f64 (-.f64 1/2 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (/.f64 (-.f64 1/2 y) (log.f64 2))) 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (log.f64 2)) (/.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (log.f64 1/2))) (*.f64 (-.f64 1/2 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (/.f64 (-.f64 1/2 y) (log.f64 2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 2 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (/.f64 x (-.f64 1/2 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 (pow.f64 2 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (/.f64 x (-.f64 1/2 y))) 1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 (/.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 2 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (/.f64 x (-.f64 1/2 y))) 1/6) 1))))))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def_binary64`
546×	`associate-l_binary64`
524×	`associate-/l*_binary64`
430×	`times-frac_binary64`
413×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2807
1	585	2386
2	2097	1835

Stop Event

1×	node limit

Counts

94 → 110

Calls

Call 1

Inputs
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (.f64 -1/3 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) y)))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (+.f64 (.f64 -1/3 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) y)) (.f64 -5/18 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (pow.f64 y 2)))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (+.f64 (.f64 -55/162 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (pow.f64 y 3))) (+.f64 (.f64 -1/3 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) y)) (.f64 -5/18 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (pow.f64 y 2))))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) (.f64 -1/12 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) (+.f64 (.f64 -1/12 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) y)) (.f64 -5/288 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2)))))
(+.f64 (.f64 -55/10368 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 3))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) (+.f64 (.f64 -1/12 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) y)) (.f64 -5/288 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2))))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (.f64 -1/12 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x)))))) y)) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(+.f64 (.f64 -1/12 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x)))))) y)) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -5/288 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 y 2)))))
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(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(.f64 1/3 (/.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (log.f64 2)) x))
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(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) (.f64 (-.f64 1/2 y) x)))
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Outputs
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 1/2)))
(*.f64 (pow.f64 x 1/6) (pow.f64 1/2 1/6))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (.f64 -1/3 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) y)))
(+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))) (.f64 -1/3 (.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))) y)))
(fma.f64 -1/3 (*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 1/2))) y) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 1/2))))
(.f64 (+.f64 (.f64 -1/3 y) 1) (*.f64 (pow.f64 x 1/6) (pow.f64 1/2 1/6)))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (+.f64 (.f64 -1/3 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) y)) (.f64 -5/18 (.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2)))) (pow.f64 y 2)))))
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(fma.f64 (pow.f64 x 1/6) (pow.f64 1/2 1/6) (.f64 (.f64 (pow.f64 x 1/6) (pow.f64 1/2 1/6)) (+.f64 (.f64 y (.f64 y -5/18)) (*.f64 y -1/3))))
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(+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))) (fma.f64 -55/162 (.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))) (pow.f64 y 3)) (fma.f64 -1/3 (.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))) y) (.f64 -5/18 (.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 y y))))))
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(+.f64 (.f64 (.f64 (pow.f64 x 1/6) (pow.f64 1/2 1/6)) (+.f64 (.f64 y (.f64 y -5/18)) (.f64 y -1/3))) (.f64 (+.f64 (.f64 -55/162 (pow.f64 y 3)) 1) (.f64 (pow.f64 x 1/6) (pow.f64 1/2 1/6))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (+.f64 (log.f64 -1) (log.f64 y))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) (.f64 -1/12 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)))
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(fma.f64 1/6 (.f64 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (/.f64 -5/12 y)) (.f64 -1/6 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))))
(fma.f64 -1/6 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6))) (/.f64 (.f64 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)) -5/72) (*.f64 y y)))
(+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 1/12 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x))) (pow.f64 y 2))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 -5/288 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (-.f64 (.f64 1/12 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x))))) (pow.f64 y 3))) (.f64 -1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 y x)))))
(fma.f64 1/6 (/.f64 (.f64 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))))) -5/12) (.f64 y y)) (.f64 -1/6 (+.f64 (/.f64 (+.f64 (.f64 -5/288 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))))) (.f64 -1/2 (.f64 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))))) -5/12))) (pow.f64 y 3)) (.f64 (/.f64 (log.f64 2) y) (/.f64 (pow.f64 (exp.f64 1/6) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))) x)))))
(fma.f64 -1/6 (+.f64 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (/.f64 (-.f64 (.f64 -5/288 (.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (.f64 (.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) -5/24)) (pow.f64 y 3))) (.f64 1/6 (.f64 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (/.f64 -5/12 y))))
(fma.f64 -1/6 (fma.f64 (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) y) (/.f64 (log.f64 2) x) (/.f64 (.f64 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)) 55/288) (pow.f64 y 3))) (/.f64 (.f64 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)) -5/72) (.f64 y y)))
(+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 1/12 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x))) (pow.f64 y 2))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 -5/288 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (-.f64 (.f64 1/12 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x))))) (pow.f64 y 3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 y x))) (.f64 1/6 (/.f64 (-.f64 (.f64 55/10368 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (-.f64 (.f64 -5/288 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (-.f64 (.f64 1/12 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (.f64 -1 (log.f64 (/.f64 1 x))))))) x)) (.f64 1/2 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (log.f64 (/.f64 1 x))))))) x))))))) (pow.f64 y 4))))))
(fma.f64 1/6 (/.f64 (.f64 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))))) -5/12) (.f64 y y)) (fma.f64 -1/6 (/.f64 (+.f64 (.f64 -5/288 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))))) (.f64 -1/2 (.f64 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))))) -5/12))) (pow.f64 y 3)) (fma.f64 -1/6 (.f64 (/.f64 (log.f64 2) y) (/.f64 (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))) x)) (.f64 1/6 (/.f64 (+.f64 (.f64 55/10368 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))))) (.f64 -1/2 (+.f64 (.f64 -5/288 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x)))))))) (.f64 -1/2 (.f64 (/.f64 (log.f64 2) (/.f64 x (pow.f64 (exp.f64 1/6) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (log.f64 x))))))) -5/12))))) (pow.f64 y 4))))))
(fma.f64 1/6 (.f64 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (/.f64 -5/12 y)) (fma.f64 -1/6 (+.f64 (.f64 (/.f64 (log.f64 2) (.f64 x y)) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (/.f64 (-.f64 (.f64 -5/288 (.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (.f64 (.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) -5/24)) (pow.f64 y 3))) (/.f64 1/6 (/.f64 (pow.f64 y 4) (fma.f64 55/10368 (.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) (.f64 -1/2 (-.f64 (.f64 -5/288 (.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))))) (.f64 (*.f64 (/.f64 (log.f64 2) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))))) -5/24))))))))
(fma.f64 -1/6 (fma.f64 (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) y) (/.f64 (log.f64 2) x) (/.f64 (.f64 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)) 55/288) (pow.f64 y 3))) (fma.f64 1/6 (/.f64 (fma.f64 -1/2 (.f64 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)) 55/288) (.f64 55/10368 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)))) (pow.f64 y 4)) (/.f64 (.f64 (.f64 (log.f64 2) (/.f64 (.f64 (pow.f64 x 1/6) (pow.f64 (/.f64 -1 y) -1/6)) x)) -5/72) (.f64 y y))))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) (.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (/.f64 (log.f64 2) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))))
(/.f64 (.f64 (log.f64 2) 1/6) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (.f64 (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 (-.f64 1/2 y) 1/6)) x) 1/6))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) (.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (/.f64 (log.f64 2) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))))
(/.f64 (.f64 (log.f64 2) 1/6) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (.f64 (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 (-.f64 1/2 y) 1/6)) x) 1/6))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) (.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (/.f64 (log.f64 2) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))))
(/.f64 (.f64 (log.f64 2) 1/6) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (.f64 (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 (-.f64 1/2 y) 1/6)) x) 1/6))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))) (.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (/.f64 (log.f64 2) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))))))
(/.f64 (.f64 (log.f64 2) 1/6) (/.f64 (.f64 x (-.f64 1/2 y)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (.f64 (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 (-.f64 1/2 y) 1/6)) x) 1/6))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (*.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)))
(*.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 1/2 y) (log.f64 2))))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (*.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)))
(*.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 1/2 y) (log.f64 2))))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (*.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)))
(*.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 1/2 y) (log.f64 2))))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (*.f64 (-.f64 1/2 y) x)))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)))
(*.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 1/2 y) (log.f64 2))))
(.f64 1/6 (.f64 (/.f64 (log.f64 2) (-.f64 1/2 y)) (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))

eval2.6s (22.6%)

Compiler: Compiled 104532 to 88181 computations (15.6% saved)

prune188.0ms (1.6%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	1082	13	1095
Fresh	2	1	3
Picked	1	0	1
Done	3	10	13
Total	1088	24	1112

Error

0.2b

Counts

1112 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	58.0b	(.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))
✓	12.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	45.5b	(*.f64 x (/.f64 1 (/.f64 1 (-.f64 1/2 y))))
✓	29.8b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	59.3b	(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
	56.0b	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
✓	61.8b	(*.f64 1/2 x)
	57.6b	(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) (/.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) (/.f64 x (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) 4) 1/18)) (/.f64 (log.f64 2) (-.f64 1/2 y))))))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	59.9b	(pow.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2) 1/3))) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
	59.3b	(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
✓	12.9b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
	57.9b	(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
	55.4b	(/.f64 (.f64 y (.f64 x (neg.f64 y))) (+.f64 1/2 y))
✓	33.8b	(*.f64 x (neg.f64 y))
✓	7.6b	(-.f64 (log.f64 2) (*.f64 x y))
	62.0b	(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
	63.2b	(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) 3) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
	21.4b	(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (pow.f64 (exp.f64 1) 1))
✓	12.9b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	45.5b	(*.f64 (-.f64 1/2 y) x)
✓	30.2b	(log.f64 2)
	60.9b	(+.f64 (exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))))) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y))))) 2)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 2 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))))))))))))))) (pow.f64 x 2)) (/.f64 (.f64 (exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y)))))) x)))
	47.0b	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))

Compiler

Compiled 866 to 734 computations (15.2% saved)

regimes62.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(*.f64 x (/.f64 1 (/.f64 1 (-.f64 1/2 y))))
(/.f64 (.f64 y (.f64 x (neg.f64 y))) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (pow.f64 (exp.f64 1) 1))
(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) 3) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(.f64 (pow.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (-.f64 1/2 y) x))) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(pow.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2) 1/3))) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) (/.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))) (/.f64 x (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))) 4) 1/18)) (/.f64 (log.f64 2) (-.f64 1/2 y))))))
(+.f64 (exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))))) (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y))))) 2)) (.f64 1/2 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 2 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 1/2 y) 2))))))))))))))))) (pow.f64 x 2)) (/.f64 (.f64 (exp.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 (log.f64 2) (-.f64 1/2 y)))))) x)))

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

Calls

2 calls:

22.0ms	y
12.0ms	x

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`

Compiler

Compiled 826 to 686 computations (16.9% saved)

regimes43.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	y
18.0ms	x

Results

Error	Segments	Branch
1.0b	2	`x`
6.5b	3	`y`

Compiler

Compiled 126 to 81 computations (35.7% saved)

bsearch79.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
79.0ms	-102703138.01675892	-49.70861768471097

Compiler

Compiled 16 to 12 computations (25% saved)

regimes38.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	y
14.0ms	x

Results

Error	Segments	Branch
1.0b	2	`x`
6.5b	3	`y`

Compiler

Compiled 119 to 76 computations (36.1% saved)

bsearch71.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
71.0ms	-102703138.01675892	-49.70861768471097

Compiler

Compiled 16 to 12 computations (25% saved)

regimes42.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	y
19.0ms	x

Results

Error	Segments	Branch
1.0b	2	`x`
6.5b	3	`y`

Compiler

Compiled 109 to 70 computations (35.8% saved)

bsearch75.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	-102703138.01675892	-49.70861768471097

Compiler

Compiled 16 to 12 computations (25% saved)

regimes35.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
14.0ms	x

Results

Error	Segments	Branch
1.6b	2	`x`
6.5b	3	`y`

Compiler

Compiled 101 to 64 computations (36.6% saved)

bsearch74.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
74.0ms	-102703138.01675892	-49.70861768471097

Compiler

Compiled 16 to 12 computations (25% saved)

regimes61.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	y
20.0ms	x

Results

Error	Segments	Branch
12.2b	3	`x`
17.8b	7	`y`

Compiler

Compiled 89 to 55 computations (38.2% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.6273206339469142e-82	2.658162281890587e-79
33.0ms	-2.154844339508784e-33	-2.8055027911924353e-34

Compiler

Compiled 16 to 12 computations (25% saved)

regimes14.0ms (0.1%)

Accuracy

Total -29.1b remaining (-86.1%)

Threshold costs -29.1b (-86.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
33.8b	1	`x`
33.8b	1	`y`

Compiler

Compiled 87 to 53 computations (39.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	56	143
2	67	143
3	72	143
4	74	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -441106618978553856/4294967296) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(if (<=.f64 x -441106618978553856/4294967296) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -441106618978553856/4294967296) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -441106618978553856/4294967296) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3149308530385316/1461501637330902918203684832716283019655932542976) (.f64 x (neg.f64 y)) (if (<=.f64 x 5561497243835529/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -441106618978553856/4294967296) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(if (<=.f64 x -107692045649061/1048576) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(if (<=.f64 x -441106618978553856/4294967296) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -107692045649061/1048576) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -441106618978553856/4294967296) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -107692045649061/1048576) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -441106618978553856/4294967296) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -107692045649061/1048576) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3149308530385316/1461501637330902918203684832716283019655932542976) (.f64 x (neg.f64 y)) (if (<=.f64 x 5561497243835529/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -787327132596329/365375409332725729550921208179070754913983135744) (.f64 x (neg.f64 y)) (if (<=.f64 x 5561497243835529/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

end65.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 210 to 132 computations (37.1% saved)

Iter	Nodes	Cost
0	9	228
1	15	192
2	32	192
3	45	192
4	57	192
5	88	192
6	148	192
7	196	192
8	253	192
9	340	192
10	390	192
11	396	192

Iter	Nodes	Cost
0	9	228
1	15	192
2	32	192
3	45	192
4	57	192
5	88	192
6	148	192
7	196	192
8	253	192
9	340	192
10	390	192
11	396	192

Iter	Nodes	Cost
0	9	228
1	15	192
2	32	192
3	45	192
4	57	192
5	88	192
6	148	192
7	196	192
8	253	192
9	340	192
10	390	192
11	396	192