Details

analyze484.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
43.7%	51.5%	4.8%	7
48.4%	46.8%	4.8%	8
55.4%	37.5%	7.1%	9
58.1%	34.7%	7.1%	10
61.9%	29.9%	8.3%	11
63.3%	28.4%	8.3%	12
65.2%	25.9%	8.9%	13
66%	25.1%	8.9%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.2s (73.4%)

Results

2.7s	2513×	body	8192	exit
1.1s	7625×	body	128	valid
156.0ms	210×	body	1024	valid
136.0ms	252×	body	512	valid
43.0ms	169×	body	256	valid
10.0ms	65×	body	128	invalid

preprocess45.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

732×	`times-frac_binary64`
438×	`associate-/r/_binary64`
300×	`fma-def_binary64`
232×	`unswap-sqr_binary64`
157×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	32	22
2	45	22
3	71	22
4	101	22
5	150	22
6	231	22
7	320	22
8	425	22
9	543	22
10	635	22
11	675	22
12	823	22
13	1264	22
14	2823	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

369×	`times-frac_binary64`
363×	`associate-l_binary64`
285×	`associate-/l/_binary64`
280×	`associate-/l*_binary64`
262×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	30	11
3	47	11
4	66	11
5	100	11
6	154	11
7	205	11
8	273	11
9	352	11
10	414	11
11	440	11
12	519	11
13	747	11
14	1549	11
15	4642	11

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))

prune3.0ms (0.1%)

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

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.2b	(log1p.f64 (exp.f64 x))

series70.0ms (1.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
26.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
9.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
1.0ms	y	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
733×	`expm1-log1p-u_binary64`
732×	`log1p-expm1-u_binary64`
78×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

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 (exp.f64 (log1p.f64 (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 exp.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))))
((#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))))) (#(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 (exp.f64 (log1p.f64 (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 exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))))

((#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))))) (#(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)))))))

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-neg_binary64`
566×	`associate-l_binary64`
366×	`fma-def_binary64`
342×	`unswap-sqr_binary64`
313×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 74

Calls

Call 1

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

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

prune69.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Error

0.2b

Counts

75 → 3

Alt Table

Status	Error	Program
▶	12.4b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	16.5b	(.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))))))

Status

Error

Program

▶

12.4b

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

✓

0.3b

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

16.5b

(*.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))))))

Compiler

Compiled 1103 to 416 computations (62.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
2.0ms	y	@	0	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	x	@	-inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	x	@	inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
1.0ms	y	@	inf	(fma.f64 x (-.f64 1/2 y) (log.f64 2))

rewrite36.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 32

Calls

Call 1

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

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

prune27.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	32	3	35

Error

0.2b

Counts

35 → 3

Alt Table

Status

Error

Program

22.7b

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

▶

16.5b

(*.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))))))

✓

0.3b

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

Compiler

Compiled 446 to 331 computations (25.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
✓	0.7b	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓	0.7b	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	15.3b	(.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))))))

series24.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
3.0ms	x	@	0	(.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))))))
2.0ms	x	@	0	(/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
2.0ms	x	@	-inf	(.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))))))
1.0ms	x	@	inf	(.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))))))

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

196×	`add-sqr-sqrt_binary64`
193×	`pow1_binary64`
189×	`*-un-lft-identity_binary64`
186×	`add-log-exp_binary64`
186×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	410	53

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

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

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

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

303×	`fma-def_binary64`
266×	`cancel-sign-sub-inv_binary64`
259×	`unsub-neg_binary64`
212×	`+-commutative_binary64`
185×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2464
1	962	2192
2	3931	2038

Stop Event

1×	node limit

Counts

183 → 178

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (.f64 (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (/.f64 (.f64 (+.f64 1/2 y) y) (log.f64 2)) (/.f64 (.f64 (-.f64 1/2 y) (+.f64 (.f64 y (log.f64 2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (.f64 (.f64 x x) (-.f64 (+.f64 1/8 (/.f64 1/2 (log.f64 2))) (+.f64 (/.f64 (+.f64 1/2 y) (/.f64 (log.f64 2) y)) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 (+.f64 y 1) (log.f64 2))))))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 (*.f64 x x) (+.f64 1/8 (-.f64 (-.f64 (/.f64 1/2 (log.f64 2)) (/.f64 (fma.f64 (log.f64 2) y (log.f64 2)) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (/.f64 y (/.f64 (log.f64 2) (+.f64 1/2 y))))) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 (.f64 x x) (-.f64 (+.f64 1/8 (/.f64 1/2 (log.f64 2))) (+.f64 (/.f64 y (/.f64 (log.f64 2) (+.f64 1/2 y))) (/.f64 (-.f64 1/2 y) (.f64 (/.f64 (log.f64 2) (+.f64 y 1)) 1)))) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 1/4 (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 (.f64 (-.f64 1/2 y) (+.f64 1/4 (+.f64 (.f64 (+.f64 1/2 y) y) (.f64 1/4 (log.f64 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 y (log.f64 2)) (log.f64 2)) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (/.f64 (.f64 (+.f64 1/2 y) y) (log.f64 2)) (/.f64 (.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) (.f64 (log.f64 2) y))) (pow.f64 (log.f64 2) 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (.f64 1/8 (/.f64 1 (log.f64 2))) (.f64 1/8 (/.f64 y (log.f64 2)))))))) (pow.f64 x 3)) (.f64 (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (/.f64 (.f64 (+.f64 1/2 y) y) (log.f64 2)) (/.f64 (.f64 (-.f64 1/2 y) (+.f64 (*.f64 y (log.f64 2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1/4 (log.f64 2)) (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 (log.f64 2) 1/4)) (pow.f64 (log.f64 2) 2)))) (+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1/4 (fma.f64 (+.f64 1/2 y) y (.f64 (log.f64 2) 1/4)))))) (+.f64 (/.f64 (.f64 (+.f64 y 1) (log.f64 2)) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (+.f64 1/8 (/.f64 1/2 (log.f64 2))) (+.f64 (/.f64 (+.f64 1/2 y) (/.f64 (log.f64 2) y)) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (.f64 (+.f64 y 1) (log.f64 2)))))))) (.f64 1/8 (+.f64 (/.f64 1 (log.f64 2)) (/.f64 y (log.f64 2))))))) (pow.f64 x 3) (.f64 (.f64 x x) (-.f64 (+.f64 1/8 (/.f64 1/2 (log.f64 2))) (+.f64 (/.f64 (+.f64 1/2 y) (/.f64 (log.f64 2) y)) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 (+.f64 y 1) (log.f64 2)))))))))
(+.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 (.f64 x x) (+.f64 1/8 (-.f64 (-.f64 (/.f64 1/2 (log.f64 2)) (/.f64 (fma.f64 (log.f64 2) y (log.f64 2)) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (/.f64 y (/.f64 (log.f64 2) (+.f64 1/2 y))))) (log.f64 2))) (.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (log.f64 2) 1/4 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (log.f64 2))) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2)) (+.f64 (.f64 y (+.f64 1/2 y)) (fma.f64 (log.f64 2) 1/4 1/4))) (*.f64 (/.f64 (fma.f64 (log.f64 2) y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (+.f64 1/8 (-.f64 (-.f64 (/.f64 1/2 (log.f64 2)) (/.f64 (fma.f64 (log.f64 2) y (log.f64 2)) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))) (/.f64 y (/.f64 (log.f64 2) (+.f64 1/2 y))))))) (+.f64 (fma.f64 1/8 (/.f64 y (log.f64 2)) (/.f64 1/8 (log.f64 2))) (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)))
(+.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 (.f64 x x) (-.f64 (+.f64 1/8 (/.f64 1/2 (log.f64 2))) (+.f64 (/.f64 y (/.f64 (log.f64 2) (+.f64 1/2 y))) (/.f64 (-.f64 1/2 y) (.f64 (/.f64 (log.f64 2) (+.f64 y 1)) 1)))) (log.f64 2))) (.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (log.f64 2) 1/4 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (log.f64 2))) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2)) (+.f64 (.f64 y (+.f64 1/2 y)) (fma.f64 (log.f64 2) 1/4 1/4))) (/.f64 (-.f64 (+.f64 1/8 (/.f64 1/2 (log.f64 2))) (+.f64 (/.f64 y (/.f64 (log.f64 2) (+.f64 1/2 y))) (/.f64 (-.f64 1/2 y) (.f64 (/.f64 (log.f64 2) (+.f64 y 1)) 1)))) (*.f64 (/.f64 (log.f64 2) (+.f64 y 1)) 1))) (+.f64 (fma.f64 1/8 (/.f64 y (log.f64 2)) (/.f64 1/8 (log.f64 2))) (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (log.f64 (+.f64 1 (exp.f64 x)))) (.f64 y (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (*.f64 y x)))))
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (neg.f64 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (.f64 y x))) (.f64 -1 (*.f64 y x)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 y x)) (log1p.f64 (exp.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 y x)) (neg.f64 (*.f64 y x))))
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(fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 y 5)) (/.f64 (.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 y 4))) (/.f64 y (log1p.f64 (exp.f64 x)))))) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 y 4))) (pow.f64 x 4)) (/.f64 1 (.f64 (.f64 x x) (*.f64 y y))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 x (.f64 y (.f64 y x)))) (/.f64 0 (pow.f64 x 4))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 (-.f64 (*.f64 (/.f64 0 y) (log1p.f64 (exp.f64 x))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 y 5))) (pow.f64 x 5)))
(-.f64 (/.f64 1 (.f64 x (.f64 y (.f64 y x)))) (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 y 5))) (pow.f64 x 5))))
(/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(/.f64 1 (.f64 (.f64 x x) (*.f64 y y)))
(/.f64 1 (.f64 x (.f64 y (*.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 -1 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 1 (.f64 (.f64 x x) (.f64 y y))))
(-.f64 (/.f64 1 (.f64 x (.f64 y (.f64 y x)))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 x 4)) (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 x 4)))) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 1 (.f64 (.f64 x x) (.f64 y y))))
(-.f64 (/.f64 1 (.f64 x (.f64 y (.f64 y x)))) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 x 4)) (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 x 4)))) (pow.f64 y 4))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 x 4)) (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 x 4))))) (.f64 (pow.f64 y 5) x)) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (.f64 (pow.f64 y 5) (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (.f64 (pow.f64 y 5) (pow.f64 x 5))) (fma.f64 -1 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 y 4))) (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 (.f64 x x) (.f64 y y))) (.f64 (/.f64 (.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 y 4))) y) (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 x 5)))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (.f64 (pow.f64 y 5) (pow.f64 x 5))) (-.f64 (+.f64 (/.f64 0 (pow.f64 x 4)) (fma.f64 (/.f64 0 y) (/.f64 (log1p.f64 (exp.f64 x)) (pow.f64 x 5)) (/.f64 1 (.f64 x (.f64 y (.f64 y x)))))) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (.f64 y (.f64 y x)))) (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (.f64 (pow.f64 y 5) (pow.f64 x 5))) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))))

prune162.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	178	3	181

Error

0.2b

Counts

181 → 3

Alt Table

Status

Error

Program

▶

22.7b

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

✓

16.5b

(*.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))))))

✓

0.3b

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

Compiler

Compiled 7096 to 3900 computations (45% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	0.5b	(sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
✓	0.6b	(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)

series16.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
91×	`add-log-exp_binary64`
91×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	213	22
2	2260	22

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-r_binary64`
622×	`associate-l_binary64`
585×	`fma-def_binary64`
151×	`distribute-rgt-in_binary64`
150×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	426
1	313	426
2	1098	426

Stop Event

1×	node limit

Counts

63 → 72

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2))) (.f64 -1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2)))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 2))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 3)) (+.f64 (log.f64 2) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2)))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 y x)) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2)))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) (+.f64 (.f64 -1 (.f64 y x)) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 1/4 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2))))))
(sqrt.f64 (log.f64 2))
(+.f64 (.f64 1/2 (.f64 (*.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (*.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))))
(sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(+.f64 (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(+.f64 (.f64 -1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 5))))) (+.f64 (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))))

Outputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2))) (.f64 -1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2)))) (pow.f64 x 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 2))) (.f64 1/8 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 3)) (+.f64 (log.f64 2) (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (log.f64 2)))) (pow.f64 x 2)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 y x)) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) (+.f64 (.f64 -1 (.f64 y x)) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 1/4 (/.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2))))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(sqrt.f64 (log.f64 2))
(+.f64 (.f64 1/2 (.f64 (*.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))
(fma.f64 1/2 (.f64 (-.f64 1/2 y) (.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))
(fma.f64 1/2 (.f64 x (.f64 (-.f64 1/2 y) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (.f64 x x))) (fma.f64 1/2 (.f64 (-.f64 1/2 y) (*.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 1/2 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (fma.f64 1/2 (.f64 (-.f64 1/2 y) (*.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (.f64 x x))) (fma.f64 1/2 (.f64 x (*.f64 (-.f64 1/2 y) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (*.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))))
(fma.f64 1/16 (.f64 (.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (.f64 x x))) (fma.f64 1/2 (.f64 (-.f64 1/2 y) (*.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))))
(fma.f64 1/16 (.f64 (pow.f64 (-.f64 1/2 y) 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 1/2 y) 2) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (fma.f64 1/2 (.f64 (-.f64 1/2 y) (*.f64 x (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))))
(fma.f64 1/16 (.f64 (pow.f64 (-.f64 1/2 y) 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 (pow.f64 (-.f64 1/2 y) 2) (.f64 x x))) (fma.f64 1/2 (.f64 x (*.f64 (-.f64 1/2 y) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))))
(sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(sqrt.f64 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (.f64 (.f64 y x) -1/2) (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (.f64 y x) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) -1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 -1/2 (.f64 x (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))) -1/8) (fma.f64 (.f64 y x) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) -1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (.f64 -1/16 (.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 5))))) (+.f64 (.f64 -1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))))) (sqrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))))
(fma.f64 -1/16 (.f64 (pow.f64 y 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 5))))) (fma.f64 -1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 -1/16 (.f64 (.f64 (pow.f64 x 3) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 5)))) (fma.f64 -1/2 (.f64 x (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (fma.f64 -1/8 (.f64 (.f64 x x) (.f64 (.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 (pow.f64 y 3) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 5))) (.f64 (pow.f64 x 3) -1/16)) (fma.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))) -1/8) (fma.f64 (.f64 y x) (.f64 (sqrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) -1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))

prune68.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Error

0.2b

Counts

107 → 3

Alt Table

Status

Error

Program

✓

22.7b

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

✓

16.5b

(*.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))))))

✓

0.3b

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

Compiler

Compiled 1973 to 1608 computations (18.5% saved)

regimes74.0ms (1.3%)

Accuracy

Total -26.6b remaining (-5692.7%)

Threshold costs -26.6b (-5692.7%)

Counts

32 → 1

Compiler

Compiled 397 to 233 computations (41.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	25	11
3	31	11
4	35	11
5	36	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end47.0ms (0.8%)

Stop Event

1×

done

Compiler

Compiled 66 to 33 computations (50% saved)

Details

analyze484.0ms (8.5%)

sample4.2s (73.4%)

preprocess45.0ms (0.8%)

simplify39.0ms (0.7%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series70.0ms (1.2%)

rewrite42.0ms (0.7%)

simplify36.0ms (0.6%)

prune69.0ms (1.2%)

localize6.0ms (0.1%)

series8.0ms (0.1%)

rewrite36.0ms (0.6%)

simplify28.0ms (0.5%)

prune27.0ms (0.5%)

localize18.0ms (0.3%)

series24.0ms (0.4%)

rewrite53.0ms (0.9%)

simplify65.0ms (1.2%)

prune162.0ms (2.9%)

localize8.0ms (0.1%)

series16.0ms (0.3%)

rewrite47.0ms (0.8%)

simplify22.0ms (0.4%)

prune68.0ms (1.2%)

regimes74.0ms (1.3%)

simplify2.0ms (0%)

end47.0ms (0.8%)

Profiling