Details

analyze146.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.8s (42.3%)

Results

2.4s	2597×	body	8192	exit
1.2s	7792×	body	256	valid
128.0ms	213×	body	1024	valid
66.0ms	250×	body	512	valid
19.0ms	152×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess71.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.3b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series46.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	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))

rewrite57.0ms (0.6%)

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	2015	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 log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x 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 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)))))))

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 log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x 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 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)))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

373×	`fma-neg_binary64`
329×	`unswap-sqr_binary64`
319×	`times-frac_binary64`
274×	`log-prod_binary64`
267×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	1115
1	385	1055
2	1646	1055
3	7076	1055

Stop Event

1×	node limit

Counts

88 → 79

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

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

eval16.0ms (0.2%)

Compiler: Compiled 1128 to 413 computations (63.4% saved)

prune21.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Error

0.2b

Counts

80 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.3b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	0.8b	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	4.3b	(-.f64 (log.f64 2) (*.f64 x y))
▶	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	32.2b	(*.f64 x (neg.f64 y))

Compiler

Compiled 101 to 76 computations (24.8% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (log1p.f64 (exp.f64 x)))
✓	0.0b	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
	0.3b	(log1p.f64 (exp.f64 x))
✓	0.7b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)

Compiler

Compiled 36 to 17 computations (52.8% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms	x	@	0	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
0.0ms	x	@	0	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
0.0ms	x	@	-inf	(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms	x	@	inf	(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`fma-def_binary64`
479×	`log-prod_binary64`
321×	`pow-prod-down_binary64`
295×	`fma-neg_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	224	24
2	3325	24

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

Outputs
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Outputs

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

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

280×	`distribute-rgt-neg-in_binary64`
269×	`fma-def_binary64`
229×	`distribute-lft-neg-in_binary64`
200×	`sub-neg_binary64`
199×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	502	4766
1	1191	4599
2	4087	4599

Stop Event

1×	node limit

Counts

318 → 355

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

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

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 51

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 2 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)

Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`prod-diff_binary64`
596×	`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	2629	17

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(*.f64 (-.f64 1/2 y) x)
(+.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 (-.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 log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(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 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 -.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 log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) 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 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)) (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 x) 2) (*.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) (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 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))))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-neg_binary64`
659×	`fma-def_binary64`
407×	`log-prod_binary64`
397×	`unswap-sqr_binary64`
240×	`hypot-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1874
1	492	1573
2	1482	1540
3	6263	1511

Stop Event

1×	node limit

Counts

114 → 121

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

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	10
2	2023	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-l_binary64`
316×	`associate-r_binary64`
313×	`associate-+l+_binary64`
291×	`fma-neg_binary64`
279×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	685
1	156	497
2	590	493
3	3608	468

Stop Event

1×	node limit

Counts

45 → 41

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

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

eval203.0ms (2.3%)

Compiler: Compiled 9986 to 5474 computations (45.2% saved)

prune119.0ms (1.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	584	8	592
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	586	12	598

Error

0.2b

Counts

598 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.3b	(fma.f64 x (neg.f64 y) (log.f64 2))
	4.8b	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	4.3b	(-.f64 (log.f64 2) (*.f64 x y))
▶	25.8b	(+.f64 (/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))) (log.f64 2))
✓	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	31.1b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	41.8b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	42.9b	(*.f64 (-.f64 1/2 y) x)
✓	32.2b	(*.f64 x (neg.f64 y))
	31.2b	(log.f64 2)
▶	22.8b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 189 to 150 computations (20.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (neg.f64 y) (log.f64 2))

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite35.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
502×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`
491×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	7
2	1629	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log.f64 2))

Outputs

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-def_binary64`
688×	`distribute-rgt-in_binary64`
666×	`distribute-lft-in_binary64`
358×	`associate-l_binary64`
303×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	434
1	144	395
2	548	394
3	3013	373

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite40.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 44

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/4 (*.f64 y y))
✓	0.0b	(+.f64 (/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))) (log.f64 2))
✓	0.1b	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	13.6b	(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))

Compiler

Compiled 54 to 32 computations (40.7% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
422×	`fma-def_binary64`
263×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	303	31
2	4403	31

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

347×	`cancel-sign-sub-inv_binary64`
342×	`fma-neg_binary64`
271×	`distribute-rgt-neg-in_binary64`
242×	`distribute-lft-neg-in_binary64`
212×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	4075
1	1154	3546
2	3998	3385

Stop Event

1×	node limit

Counts

272 → 287

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (+.f64 (.f64 4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 4 y) (+.f64 (.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.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)))
(log.f64 2)
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x)
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.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 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(.f64 -1 (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 0 (/.f64 1 (-.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)
(.f64 (+.f64 1/2 y) (/.f64 1 (-.f64 1/4 (.f64 y y))))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2) (cbrt.f64 (/.f64 1 (-.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1/2 y))) (/.f64 1 (sqrt.f64 (-.f64 1/2 y))))
(.f64 (sqrt.f64 (+.f64 1/2 y)) (.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(.f64 (fma.f64 -1 y -1/2) (/.f64 1 (neg.f64 (-.f64 1/4 (.f64 y y)))))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (/.f64 (+.f64 1/2 y) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (cbrt.f64 (/.f64 1 (-.f64 1/2 y))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1/4 (.f64 y y)))) (/.f64 (+.f64 1/2 y) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (sqrt.f64 (-.f64 1/4 (.f64 y y)))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1/2 y))) 2)
(pow.f64 (-.f64 1/2 y) -1)
(pow.f64 (/.f64 (-.f64 1/2 y) 1) -1)
(neg.f64 (/.f64 (+.f64 1/2 y) (neg.f64 (-.f64 1/4 (*.f64 y y)))))
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))
(+.f64 0 (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 1/2 y))) (.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 1 (.f64 x (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/2 y))))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (/.f64 x (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(.f64 (/.f64 x (fma.f64 -1 y -1/2)) (neg.f64 (-.f64 1/4 (.f64 y y))))
(.f64 (.f64 (/.f64 x (+.f64 1/2 y)) 1) (-.f64 1/4 (*.f64 y y)))
(.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (cbrt.f64 (-.f64 1/4 (.f64 y y))))
(.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (-.f64 1/4 (.f64 y y)))) (sqrt.f64 (-.f64 1/4 (.f64 y y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(pow.f64 (/.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) 1) -1)
(neg.f64 (/.f64 x (/.f64 -1 (-.f64 1/2 y))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (.f64 (.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (.f64 (/.f64 x (+.f64 1/2 y)) (.f64 y (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.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))
(*.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))))
(*.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))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 x (.f64 (-.f64 1/2 y) (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y)))) 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (log.f64 2))
(fma.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (/.f64 x (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (fma.f64 -1 y -1/2)) (neg.f64 (-.f64 1/4 (*.f64 y y))) (log.f64 2))
(fma.f64 (.f64 (/.f64 x (+.f64 1/2 y)) 1) (-.f64 1/4 (.f64 y y)) (log.f64 2))
(fma.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (log.f64 2))
(fma.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (-.f64 1/4 (.f64 y y)))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (log.f64 2))
(+.f64 1/4 (*.f64 y (neg.f64 y)))
(+.f64 1/4 (.f64 (.f64 y (neg.f64 y)) 1))
(+.f64 (*.f64 y (neg.f64 y)) 1/4)
(+.f64 0 (-.f64 1/4 (*.f64 y y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y)))) (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))))
(.f64 (-.f64 1/4 (.f64 y y)) 1)
(.f64 1 (-.f64 1/4 (.f64 y y)))
(.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16)))
(*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (fma.f64 y y 1/4)))
(/.f64 (+.f64 1/64 (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 1/4 (.f64 y (neg.f64 y))))))
(/.f64 (-.f64 1/16 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 1/4 (.f64 y (neg.f64 y))))
(pow.f64 (-.f64 1/4 (*.f64 y y)) 1)
(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)
(pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))) -1)
(pow.f64 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))) -1)
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1/4 (*.f64 y y))))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 1 (*.f64 y (neg.f64 y)) 1/4)
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 (cbrt.f64 y) 2)) 1/4)
(fma.f64 (neg.f64 y) y 1/4)
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 y))) (cbrt.f64 (.f64 y (neg.f64 y)))) (cbrt.f64 (.f64 y (neg.f64 y))) 1/4)
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 y))) (sqrt.f64 (.f64 y (neg.f64 y))) 1/4)
(fma.f64 -1 (*.f64 y y) 1/4)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) 1/4)
(fma.f64 (*.f64 (neg.f64 y) 1) y 1/4)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1/4)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 y)) (sqrt.f64 y) 1/4)

Outputs
2
(+.f64 2 (*.f64 4 y))
(fma.f64 4 y 2)
(+.f64 2 (+.f64 (.f64 4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (fma.f64 4 y (.f64 8 (.f64 y y))))
(+.f64 2 (fma.f64 4 y (.f64 y (.f64 y 8))))
(+.f64 2 (.f64 y (+.f64 4 (.f64 8 y))))
(+.f64 2 (+.f64 (.f64 4 y) (+.f64 (.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(+.f64 2 (fma.f64 4 y (fma.f64 8 (.f64 y y) (.f64 16 (pow.f64 y 3)))))
(+.f64 (fma.f64 4 y 2) (.f64 (.f64 y y) (+.f64 8 (*.f64 16 y))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 -1/4 (pow.f64 y 3)))
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(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 y (/.f64 (+.f64 y 1/2) y))) (log.f64 2))
(fma.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (*.f64 y y) (+.f64 y 1/2))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 y (/.f64 (+.f64 y 1/2) y))) (log.f64 2))
(fma.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1/2 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (-.f64 1/2 y)))) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (/.f64 x (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (/.f64 (cbrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1/2 y)))) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (fma.f64 -1 y -1/2)) (neg.f64 (-.f64 1/4 (*.f64 y y))) (log.f64 2))
(fma.f64 (+.f64 (*.f64 y y) -1/4) (/.f64 x (fma.f64 -1 y -1/2)) (log.f64 2))
(fma.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)) (log.f64 2))
(fma.f64 (.f64 (/.f64 x (+.f64 1/2 y)) 1) (-.f64 1/4 (.f64 y y)) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (*.f64 y y) (+.f64 y 1/2))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 y (/.f64 (+.f64 y 1/2) y))) (log.f64 2))
(fma.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (*.f64 y y) (+.f64 y 1/2))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 y (/.f64 (+.f64 y 1/2) y))) (log.f64 2))
(fma.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (-.f64 1/4 (.f64 y y)))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 (*.f64 y y) (+.f64 y 1/2))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 y 1/2)) (/.f64 y (/.f64 (+.f64 y 1/2) y))) (log.f64 2))
(fma.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 y 1/2)) (log.f64 2))
(+.f64 1/4 (*.f64 y (neg.f64 y)))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(+.f64 1/4 (.f64 (.f64 y (neg.f64 y)) 1))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(+.f64 (*.f64 y (neg.f64 y)) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(+.f64 0 (-.f64 1/4 (*.f64 y y)))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y)))) (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (neg.f64 y) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (neg.f64 y) 1/4)))))
(.f64 (-.f64 1/4 (.f64 y y)) 1)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(.f64 1 (-.f64 1/4 (.f64 y y)))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (fma.f64 y y 1/4)))
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (+.f64 1/64 (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 1/4 (.f64 y (neg.f64 y))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (-.f64 1/16 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 1/4 (.f64 y (neg.f64 y))))
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(pow.f64 (-.f64 1/4 (*.f64 y y)) 1)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))) -1)
(/.f64 1 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(pow.f64 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))) -1)
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(expm1.f64 (log1p.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 y (neg.f64 y) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 1 (*.f64 y (neg.f64 y)) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 (cbrt.f64 y) 2)) 1/4)
(-.f64 1/4 (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2)))
(fma.f64 (neg.f64 y) y 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 y))) (cbrt.f64 (.f64 y (neg.f64 y)))) (cbrt.f64 (.f64 y (neg.f64 y))) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 y))) (sqrt.f64 (.f64 y (neg.f64 y))) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 -1 (*.f64 y y) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) 1/4)
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 (cbrt.f64 y) 2)) 1/4)
(-.f64 1/4 (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2)))
(fma.f64 (*.f64 (neg.f64 y) 1) y 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 y)) (sqrt.f64 y) 1/4)
(-.f64 1/4 (*.f64 y y))
(fma.f64 y (neg.f64 y) 1/4)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
	0.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	0.8b	(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 35 to 26 computations (25.7% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
847×	`add-log-exp_binary64`
846×	`expm1-log1p-u_binary64`
845×	`log1p-expm1-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	189	22
2	2229	22

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

879×	`associate-/l*_binary64`
603×	`distribute-rgt-in_binary64`
579×	`distribute-lft-in_binary64`
363×	`unswap-sqr_binary64`
177×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2235
1	608	1898
2	2542	1825

Stop Event

1×	node limit

Counts

87 → 150

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

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

eval243.0ms (2.7%)

Compiler: Compiled 10967 to 8224 computations (25% saved)

prune138.0ms (1.5%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	592	6	598
Fresh	1	2	3
Picked	1	0	1
Done	1	7	8
Total	595	15	610

Error

0.2b

Counts

610 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.3b	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	55.0b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	55.0b	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
▶	4.8b	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	4.3b	(-.f64 (log.f64 2) (*.f64 x y))
▶	4.4b	(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2))
✓	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	31.1b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	42.9b	(*.f64 (-.f64 1/2 y) x)
✓	32.2b	(*.f64 x (neg.f64 y))
▶	61.8b	(*.f64 1/2 x)
	31.2b	(log.f64 2)
▶	60.9b	(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))))
	31.7b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))

Compiler

Compiled 244 to 190 computations (22.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
455×	`log-prod_binary64`
282×	`fma-def_binary64`
269×	`pow-prod-down_binary64`
245×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	196	15
2	2701	15

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-/l*_binary64`
412×	`unswap-sqr_binary64`
374×	`distribute-rgt-in_binary64`
344×	`distribute-lft-in_binary64`
292×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1909
1	534	1839
2	1802	1823

Stop Event

1×	node limit

Counts

159 → 144

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1/4 (*.f64 y y))
✓	0.0b	(/.f64 (+.f64 1/2 y) x)
✓	16.8b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary64`
319×	`prod-diff_binary64`
310×	`pow2_binary64`
214×	`pow1/3_binary64`
210×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	239	14
2	3547	14

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2))))) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2)))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))) (/.f64 y (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/4 (/.f64 x (+.f64 y 1/2)) (neg.f64 (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y y)))) (fma.f64 (neg.f64 (/.f64 x (+.f64 y 1/2))) (*.f64 y y) (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 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simplify127.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

374×	`unswap-sqr_binary64`
228×	`cancel-sign-sub-inv_binary64`
208×	`distribute-neg-frac_binary64`
184×	`fma-neg_binary64`
182×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	7144
1	1359	5685
2	4456	4054

Stop Event

1×	node limit

Counts

230 → 256

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	1.0b	(-.f64 (+.f64 (log.f64 2) 1) 1)

Compiler

Compiled 31 to 24 computations (22.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`fma-def_binary64`
452×	`log-prod_binary64`
339×	`exp-prod_binary64`
299×	`fma-neg_binary64`
298×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	229	12
2	3282	12

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) (neg.f64 (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) 0) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 0 (*.f64 (log.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) 0) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 2))) 2)) (cbrt.f64 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 2)))) (sqrt.f64 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 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simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-neg_binary64`
560×	`associate-/l*_binary64`
433×	`unswap-sqr_binary64`
419×	`cancel-sign-sub-inv_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	4049
1	971	3891
2	3232	3840

Stop Event

1×	node limit

Counts

262 → 298

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

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

localize98.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))
✓	0.1b	(/.f64 (/.f64 1 x) (-.f64 1/2 y))
✓	0.2b	(/.f64 (log.f64 2) x)
✓	0.3b	(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))))

Compiler

Compiled 112 to 80 computations (28.6% saved)

series57.0ms (0.6%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(/.f64 (log.f64 2) x)
16.0ms	x	@	0	(/.f64 (log.f64 2) x)
8.0ms	x	@	inf	(/.f64 (/.f64 1 x) (-.f64 1/2 y))
3.0ms	y	@	inf	(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))))
2.0ms	y	@	0	(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))))

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

466×	`fma-neg_binary64`
361×	`expm1-udef_binary64`
361×	`log1p-udef_binary64`
211×	`add-sqr-sqrt_binary64`
204×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	411	67
2	6307	66

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))))
(/.f64 (log.f64 2) x)
(/.f64 (/.f64 1 x) (-.f64 1/2 y))
(/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

322×	`log-prod_binary64`
313×	`fma-def_binary64`
284×	`associate-r_binary64`
271×	`*-commutative_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	5993
1	1677	5239
2	6590	5186

Stop Event

1×	node limit

Counts

209 → 320

Calls

Call 1

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

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

eval791.0ms (8.9%)

Compiler: Compiled 30256 to 21287 computations (29.6% saved)

prune523.0ms (5.9%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	1066	8	1074
Fresh	0	3	3
Picked	1	0	1
Done	1	10	11
Total	1068	21	1089

Error

0.2b

Counts

1089 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.3b	(fma.f64 x (neg.f64 y) (log.f64 2))
	62.8b	(fma.f64 1/2 (.f64 (exp.f64 (+.f64 (/.f64 2 x) (/.f64 (.f64 2 (log.f64 2)) x))) x) -1)
	55.1b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	62.2b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	55.1b	(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 1/2 y) x))
	55.0b	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	62.0b	(/.f64 1/4 (/.f64 (+.f64 1/2 y) x))
✓	4.8b	(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	4.3b	(-.f64 (log.f64 2) (*.f64 x y))
	63.9b	(-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (log.f64 x))))) 1)
✓	4.4b	(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2))
✓	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	31.1b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	55.0b	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
	56.7b	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
✓	42.9b	(*.f64 (-.f64 1/2 y) x)
✓	32.2b	(*.f64 x (neg.f64 y))
✓	61.8b	(*.f64 1/2 x)
	31.2b	(log.f64 2)
	31.7b	(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))

Compiler

Compiled 224 to 173 computations (22.8% saved)

regimes58.0ms (0.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
12.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 297 to 199 computations (33% saved)

regimes46.0ms (0.5%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
9.0ms	y

Results

Error	Segments	Branch
0.4b	2	`x`
4.3b	1	`y`

Compiler

Compiled 163 to 103 computations (36.8% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-2893.842866707491	-6.937951244269362e-13

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

regimes28.0ms (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 1/4 (/.f64 (+.f64 1/2 y) x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 1/2 y) x))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))

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

Calls

2 calls:

15.0ms	x
10.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
4.3b	1	`y`

Compiler

Compiled 117 to 72 computations (38.5% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-2893.842866707491	-6.937951244269362e-13

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 176 to 132 computations (25% saved)

regimes92.0ms (1%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

2 calls:

55.0ms	y
34.0ms	x

Results

Error	Segments	Branch
11.9b	5	`x`
18.1b	5	`y`

Compiler

Compiled 111 to 68 computations (38.7% saved)

bsearch80.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	6.829222795804528e-50	3.2610313118992696e-44
11.0ms	-2.7683443608631244e-90	-1.9616945331709987e-90
23.0ms	-7.336665764588326e-51	-1.4489266838516989e-53
19.0ms	-7.386246865319798e-16	-2.2798272573337737e-19

Results

75.0ms

448×

body

256

valid

Compiler

Compiled 361 to 301 computations (16.6% saved)

regimes24.0ms (0.3%)

Accuracy

Total -31.1b remaining (-96.6%)

Threshold costs -31.1b (-96.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
6.0ms	y

Results

Error	Segments	Branch
32.2b	1	`x`
32.2b	1	`y`

Compiler

Compiled 103 to 61 computations (40.8% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	115
1	55	115
2	65	115
3	70	115
4	72	115

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -61/2) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5354556135364041/324518553658426726783156020576256) (.f64 x (neg.f64 y)) (if (<=.f64 x -1563676906694737/107839786668602559178668060348078522694548577690162289924414440996864) (log.f64 2) (if (<=.f64 x -6192446263173193/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 x (neg.f64 y)) (if (<=.f64 x 8115037123507901/401734511064747568885490523085290650630550748445698208825344) (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 -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -61/2) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -61/2) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5354556135364041/324518553658426726783156020576256) (.f64 x (neg.f64 y)) (if (<=.f64 x -1563676906694737/107839786668602559178668060348078522694548577690162289924414440996864) (log.f64 2) (if (<=.f64 x -6192446263173193/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 x (neg.f64 y)) (if (<=.f64 x 8115037123507901/401734511064747568885490523085290650630550748445698208825344) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(if (<=.f64 x -5354556135364041/324518553658426726783156020576256) (.f64 x (neg.f64 y)) (if (<=.f64 x -1563676906694737/107839786668602559178668060348078522694548577690162289924414440996864) (log.f64 2) (if (<=.f64 x -6192446263173193/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 x (neg.f64 y)) (if (<=.f64 x 8115037123507901/401734511064747568885490523085290650630550748445698208825344) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -5354556135364041/324518553658426726783156020576256) (.f64 y (neg.f64 x)) (if (<=.f64 x -1563676906694737/107839786668602559178668060348078522694548577690162289924414440996864) (log.f64 2) (if (<=.f64 x -6192446263173193/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 y (neg.f64 x)) (if (<=.f64 x 8115037123507901/401734511064747568885490523085290650630550748445698208825344) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 89 to 61 computations (31.5% saved)

soundness182.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 20 to 14 computations (30% saved)

end84.0ms (0.9%)

Compiler: Compiled 79 to 44 computations (44.3% saved)