Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.9s (71.3%)

Results

861.0ms	2100×	body	1024	valid
433.0ms	4369×	body	128	valid
288.0ms	1056×	body	512	valid
98.0ms	536×	body	256	valid
90.0ms	195×	body	2048	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
368×	`fma-neg_binary64`
358×	`fma-def_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	34	15
4	59	15
5	113	15
6	235	15
7	600	15
8	1504	15
9	2557	15
10	4582	15
11	4956	15
12	4701	15

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	29.1b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 36 to 33 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	2.7b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series21.0ms (0.8%)

Counts

2 → 16

Calls

2 calls:

12.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
8.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite82.0ms (3.1%)

Algorithm

2×	batch-egg-rewrite

Rules

426×	`log-prod_binary64`
330×	`prod-diff_binary64`
227×	`fma-def_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`

Counts

2 → 82

Calls

2 calls:

81.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
81.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	217	27
2	2470	27
3	4914	27
4	5026	27
0	0	0
1	0	0

simplify90.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg_binary64`
431×	`cancel-sign-sub-inv_binary64`
430×	`fma-def_binary64`
406×	`distribute-rgt-neg-in_binary64`
382×	`unswap-sqr_binary64`

Counts

98 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	210
1	93	210
2	207	202
3	499	200
4	1346	200
5	2248	200
6	3216	200
7	4575	200
8	4850	200
9	4794	200

prune56.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	2	99

Error

Counts

99 → 2

Alt Table

Status	Error	Program
▶	31.8b	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
✓	29.1b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 1674 to 1509 computations (9.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 2/15 (pow.f64 x 5) x)
✓	18.0b	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))

series7.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
3.0ms	(fma.f64 2/15 (pow.f64 x 5) x)

rewrite42.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
103×	`prod-diff_binary64`
100×	`add-sqr-sqrt_binary64`
95×	`add-cbrt-cube_binary64`

Counts

2 → 49

Calls

2 calls:

41.0ms	(fma.f64 2/15 (pow.f64 x 5) x)
41.0ms	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	214	23
2	2152	23
3	5047	23
0	0	0
1	0	0

simplify123.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-neg_binary64`
552×	`distribute-rgt-neg-in_binary64`
422×	`distribute-lft-neg-in_binary64`
416×	`unswap-sqr_binary64`
405×	`cancel-sign-sub-inv_binary64`

Counts

73 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	246
1	42	242
2	88	228
3	223	228
4	500	228
5	1264	228
6	1975	228
7	3745	228
8	4307	228
9	4647	228
10	4957	228
11	4997	228
12	4831	228

prune30.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

58 → 2

Alt Table

Status	Error	Program
✓	31.8b	(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
✓	29.1b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 899 to 698 computations (22.4% saved)

regimes155.0ms (5.9%)

Accuracy

Total 0.3b remaining (96.4%)

Threshold costs 0.3b (96.4%)

Counts

7 → 3

Compiler

Compiled 659 to 546 computations (17.1% saved)

bsearch0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	28	63
2	33	63
3	35	63
4	36	63
5	36	63

end69.0ms (2.6%)

Compiler: Compiled 111 to 93 computations (16.2% saved)

Details

analyze1.0ms (0.1%)

sample1.9s (71.3%)

simplify63.0ms (2.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series21.0ms (0.8%)

rewrite82.0ms (3.1%)

simplify90.0ms (3.4%)

prune56.0ms (2.1%)

localize7.0ms (0.3%)

series7.0ms (0.3%)

rewrite42.0ms (1.6%)

simplify123.0ms (4.7%)

prune30.0ms (1.1%)

regimes155.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end69.0ms (2.6%)

Profiling