Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.8s (87.3%)

Results

2.3s	4104×	body	1024	valid
797.0ms	2080×	body	512	valid
344.0ms	424×	body	2048	valid
252.0ms	1025×	body	256	valid
76.0ms	623×	body	128	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

preprocess54.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

781×	`fma-neg_binary64`
515×	`fma-def_binary64`
268×	`distribute-rgt-in_binary64`
226×	`unsub-neg_binary64`
210×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	13
2	28	13
3	43	13
4	73	13
5	109	13
6	153	13
7	272	13
8	588	13
9	1041	13
10	1479	13
11	1876	13
12	2080	13
13	2221	13
14	2514	13
15	3397	13
16	4571	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
515×	`fma-def_binary64`
268×	`distribute-rgt-in_binary64`
226×	`unsub-neg_binary64`
210×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	13
2	28	13
3	43	13
4	73	13
5	109	13
6	153	13
7	272	13
8	588	13
9	1041	13
10	1479	13
11	1876	13
12	2080	13
13	2221	13
14	2514	13
15	3397	13
16	4571	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 39 to 31 computations (20.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`pow1_binary64`
484×	`add-log-exp_binary64`
484×	`expm1-log1p-u_binary64`
482×	`log1p-expm1-u_binary64`
475×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	130	8
2	1862	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

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

Outputs

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

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
503×	`associate-/l/_binary64`
369×	`times-frac_binary64`
301×	`associate-l_binary64`
198×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	174
1	108	174
2	250	174
3	603	174
4	1149	174
5	2672	174

Stop Event

1×	node limit

Counts

47 → 57

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(*.f64 -1 (log.f64 -1))
(-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/3 (/.f64 1 (pow.f64 x 3)))) (log.f64 -1))
(-.f64 (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/3 (/.f64 1 (pow.f64 x 3))))) (log.f64 -1))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1)))
(+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (.f64 x 2/3) 2) (.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2 x))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(-.f64 (/.f64 2 x) (log.f64 -1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/3 (/.f64 1 (pow.f64 x 3)))) (log.f64 -1))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1)))
(-.f64 (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/3 (/.f64 1 (pow.f64 x 3))))) (log.f64 -1))
(+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (-.f64 (/.f64 2/5 (pow.f64 x 5)) (log.f64 -1)))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (log.f64 -1)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 -2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2 x)))
(+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1))))
(+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))

prune32.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Error

Counts

58 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 1/2 (fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (.f64 2/3 (pow.f64 x 3))))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 888 to 541 computations (39.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
✓	0.0b	(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

series14.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
1.0ms	x	@	-inf	(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
1.0ms	x	@	-inf	(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
1.0ms	x	@	inf	(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
1.0ms	x	@	0	(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))

rewrite51.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
192×	`log-pow_binary64`
166×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	305	42
2	3157	42

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2/5 (pow.f64 x 5)) 1) (.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) (cbrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 2/5 (pow.f64 x 5)) 3) (pow.f64 (.f64 2/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/5 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)) (exp.f64 (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (pow.f64 x 3)))) (exp.f64 (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 2/5 (pow.f64 x 5))) (+.f64 1 (expm1.f64 (.f64 2/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) (.f64 2/7 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/7 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2/7 (pow.f64 x 7)) 1) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/7 (pow.f64 x 7) (.f64 2/5 (pow.f64 x 5))) (.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))) (cbrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) 2) (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) (sqrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 2/7 (pow.f64 x 7)) 3) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 3)) (fma.f64 (.f64 2/7 (pow.f64 x 7)) (.f64 2/7 (pow.f64 x 7)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 2) (.f64 (.f64 2/7 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 2/7 (pow.f64 x 7)) (.f64 2/7 (pow.f64 x 7))) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))) 2)) (-.f64 (.f64 2/7 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) (exp.f64 (.f64 2/7 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) (exp.f64 (.f64 2/7 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 2/7 (pow.f64 x 7))) (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (.f64 2/5 (pow.f64 x 5))))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/5 (pow.f64 x 5)) 1) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) (cbrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3)) (fma.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/5 (pow.f64 x 5)) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 6) 4/9)) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)) (exp.f64 (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))) (exp.f64 (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2/5 (pow.f64 x 5))) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) (*.f64 2/7 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/7 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/7 (pow.f64 x 7)) 1) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/5 (pow.f64 x 5))) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))) (cbrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 2) (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) (sqrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 3)) (fma.f64 (*.f64 2/7 (pow.f64 x 7)) (*.f64 2/7 (pow.f64 x 7)) (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2) (*.f64 (*.f64 2/7 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2/7 (pow.f64 x 7)) (*.f64 2/7 (pow.f64 x 7))) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))) 2)) (-.f64 (*.f64 2/7 (pow.f64 x 7)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) (exp.f64 (*.f64 2/7 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) (exp.f64 (*.f64 2/7 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2/7 (pow.f64 x 7))) (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))))))))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

708×	`sqr-pow_binary64`
624×	`unswap-sqr_binary64`
300×	`pow-sqr_binary64`
296×	`associate-l_binary64`
252×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	336
1	46	336
2	94	336
3	209	336
4	405	336
5	1054	336
6	1570	336
7	2519	336
8	2673	336
9	2922	336
10	3237	336
11	3718	336
12	4397	336

Stop Event

1×	node limit

Counts

99 → 83

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/7 (pow.f64 x 7))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/7 (pow.f64 x 7))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))

Outputs
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/7 (pow.f64 x 7))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/7 (pow.f64 x 7))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))
(*.f64 2/7 (pow.f64 x 7))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/7 (pow.f64 x 7))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/7 (pow.f64 x 7))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))
(*.f64 2/7 (pow.f64 x 7))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/7 (pow.f64 x 7))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/7 (pow.f64 x 7)) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/7 (pow.f64 x 7))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/7 (pow.f64 x 7))))

prune87.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 1/2 (fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (.f64 2/3 (pow.f64 x 3))))))
✓	0.0b	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 2198 to 1813 computations (17.5% saved)

regimes34.0ms (0.8%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Counts

9 → 1

Compiler

Compiled 552 to 442 computations (19.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	20	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 1/2 (fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (.f64 2/3 (pow.f64 x 3))))))

Outputs
(.f64 1/2 (fma.f64 2 x (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (.f64 2/3 (pow.f64 x 3))))))

end85.0ms (1.9%)

Stop Event

1×

done

Compiler

Compiled 72 to 58 computations (19.4% saved)

Details

analyze6.0ms (0.1%)

sample3.8s (87.3%)

preprocess54.0ms (1.2%)

simplify48.0ms (1.1%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite37.0ms (0.8%)

simplify27.0ms (0.6%)

prune32.0ms (0.7%)

localize11.0ms (0.3%)

series14.0ms (0.3%)

rewrite51.0ms (1.2%)

simplify64.0ms (1.5%)

prune87.0ms (2%)

regimes34.0ms (0.8%)

simplify2.0ms (0%)

end85.0ms (1.9%)

Profiling