Details

analyze2.0s (23.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.0s (70%)

Results

3.9s	4104×	body	1024	valid
1.1s	2073×	body	512	valid
460.0ms	370×	body	2048	valid
379.0ms	1086×	body	256	valid
108.0ms	623×	body	128	valid

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	32	10
5	42	10
6	53	10
7	66	10
8	70	10
9	53	10

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

18.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/r*_binary64`
289×	`fma-def_binary64`
234×	`times-frac_binary64`
195×	`distribute-rgt-in_binary64`
154×	`associate-/l/_binary64`

Counts

41 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1544
1	492	1488
2	1711	1276
3	4911	1276

prune42.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

Compiler

Compiled 1642 to 1022 computations (37.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
✓	0.0b	(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)

series95.0ms (1.1%)

Counts

2 → 24

Calls

2 calls:

76.0ms	(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)
18.0ms	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
32×	`cbrt-prod_binary64`
32×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`

Counts

2 → 92

Calls

2 calls:

3.0ms	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
3.0ms	(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-+r+_binary64`
325×	`associate-/r*_binary64`
277×	`fma-def_binary64`
250×	`associate-+l+_binary64`
242×	`times-frac_binary64`

Counts

116 → 138

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	4985
1	1313	4737
2	5409	4737

prune164.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	193	2	195

Error

Counts

195 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))

Compiler

Compiled 7338 to 4825 computations (34.2% saved)

regimes41.0ms (0.5%)

Accuracy

Total 0.0b remaining (19.5%)

Threshold costs 0.0b (19.5%)

Counts

17 → 1

Compiler

Compiled 332 to 268 computations (19.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	12	10
3	13	10
4	13	10

end50.0ms (0.6%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze2.0s (23.1%)

sample6.0s (70%)

simplify13.0ms (0.2%)

prune4.0ms (0%)

localize4.0ms (0%)

series18.0ms (0.2%)

rewrite3.0ms (0%)

simplify49.0ms (0.6%)

prune42.0ms (0.5%)

localize7.0ms (0.1%)

series95.0ms (1.1%)

rewrite12.0ms (0.1%)

simplify85.0ms (1%)

prune164.0ms (1.9%)

regimes41.0ms (0.5%)

simplify2.0ms (0%)

end50.0ms (0.6%)

Profiling