Details

analyze444.0ms (13.4%)

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
0%	99.9%	0.1%	5
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.4s (41.2%)

Results

1.2s	8256×	body	128	valid
72.0ms	722×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify129.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1119×	`div-sub_binary64`
816×	`fma-def_binary64`
804×	`fma-neg_binary64`
517×	`neg-mul-1_binary64`
483×	`neg-sub0_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	57	10
4	111	10
5	180	10
6	312	10
7	977	10
8	3166	10
9	3725	10
10	4150	10
11	4786	10
12	4803	10
13	4958	10
14	5387	10

prune1.0ms (0%)

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

13.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.0b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	12.4b	(/.f64 (*.f64 x (-.f64 y z)) y)

series42.0ms (1.3%)

Counts

2 → 72

Calls

2 calls:

36.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	(*.f64 x (-.f64 y z))

rewrite56.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

918×	`log1p-expm1-u_binary64`
918×	`expm1-log1p-u_binary64`
386×	`prod-diff_binary64`
83×	`add-sqr-sqrt_binary64`
77×	`add-log-exp_binary64`

Counts

2 → 66

Calls

2 calls:

55.0ms	(*.f64 x (-.f64 y z))
55.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2262	17
3	6391	17
0	0	0
1	0	0

simplify116.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

440×	`times-frac_binary64`
433×	`neg-sub0_binary64`
390×	`sub-neg_binary64`
378×	`neg-mul-1_binary64`
354×	`distribute-lft-neg-out_binary64`

Counts

138 → 76

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	570
1	35	570
2	67	570
3	126	570
4	201	570
5	362	570
6	806	570
7	2955	570
8	3499	570
9	4516	570
10	4707	570
11	4892	570

prune38.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	5	77

Error

Counts

77 → 5

Alt Table

Status	Error	Program
	4.2b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.6b	(*.f64 (/.f64 x y) (-.f64 y z))
	33.2b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
	34.6b	(.f64 (/.f64 x (cbrt.f64 (.f64 y y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
▶	3.4b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

Compiler

Compiled 971 to 340 computations (65% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	3.2b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

series15.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))
4.0ms	(/.f64 (-.f64 y z) y)

rewrite59.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
465×	`prod-diff_binary64`
190×	`fma-def_binary64`
178×	`log-div_binary64`
164×	`expm1-udef_binary64`

Counts

2 → 88

Calls

2 calls:

58.0ms	(/.f64 (-.f64 y z) y)
58.0ms	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	17
2	2569	17
3	5409	17
0	0	0
1	0	0

simplify362.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg_binary64`
592×	`neg-sub0_binary64`
560×	`neg-mul-1_binary64`
423×	`distribute-neg-frac_binary64`
390×	`distribute-rgt-neg-out_binary64`

Counts

148 → 96

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	477
1	35	477
2	65	477
3	118	477
4	196	477
5	341	477
6	771	477
7	2664	477
8	3558	477
9	4065	477
10	4898	477
11	4841	477
12	4872	477

prune55.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Error

Counts

101 → 4

Alt Table

Status	Error	Program
	13.6b	(*.f64 (/.f64 x y) (-.f64 y z))
▶	3.2b	(/.f64 x (/.f64 y (-.f64 y z)))
	4.2b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	3.4b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

Compiler

Compiled 1224 to 472 computations (61.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	3.0b	(/.f64 x (/.f64 y (-.f64 y z)))

series23.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

15.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
7.0ms	(/.f64 y (-.f64 y z))

rewrite63.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
404×	`prod-diff_binary64`
183×	`fma-def_binary64`
158×	`expm1-udef_binary64`
158×	`log1p-udef_binary64`

Counts

2 → 90

Calls

2 calls:

61.0ms	(/.f64 y (-.f64 y z))
61.0ms	(/.f64 x (/.f64 y (-.f64 y z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2439	17
3	5213	17
0	0	0
1	0	0

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
492×	`associate-/l*_binary64`
491×	`fma-def_binary64`
425×	`associate-/r*_binary64`
409×	`associate-*l/_binary64`

Counts

150 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	792
1	109	792
2	322	702
3	1209	672
4	4495	672
5	4938	672
6	4993	672
7	4965	672

prune50.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Error

Counts

114 → 4

Alt Table

Status	Error	Program
	13.6b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	3.2b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	4.2b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	3.4b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

Compiler

Compiled 1435 to 493 computations (65.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(/.f64 (*.f64 z x) y)

series11.0ms (0.3%)

Counts

1 → 0

Calls

1 calls:

11.0ms

(/.f64 (*.f64 z x) y)

rewrite47.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
367×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Counts

1 → 47

Calls

1 calls:

46.0ms

(/.f64 (*.f64 z x) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1688	7
3	5384	7
0	0	0
1	0	0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune26.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	47	4	51

Error

Counts

51 → 4

Alt Table

Status	Error	Program
	13.6b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	3.2b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	4.2b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	3.4b	(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))

Compiler

Compiled 612 to 233 computations (61.9% saved)

regimes155.0ms (4.7%)

Accuracy

Total 3.0b remaining (99.5%)

Threshold costs 0b (0%)

Counts

23 → 4

Compiler

Compiled 980 to 642 computations (34.5% saved)

bsearch76.0ms (2.3%)

Steps

Iters

Range

Point

1.0278228388880484e+257

1.8509403672269544e+261

3.6281276401897885e+257

1.235070489773712e+129

9.100351982402689e+141

5.267723067807247e+137

-1.8932942059617052e+236

-7.484462621192225e+232

-7.372894544810212e+234

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	25	58
2	35	58
3	46	58
4	52	58
5	55	58
6	56	58
7	56	58

end68.0ms (2.1%)

Compiler: Compiled 128 to 62 computations (51.6% saved)

Details

analyze444.0ms (13.4%)

sample1.4s (41.2%)

simplify129.0ms (3.9%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series42.0ms (1.3%)

rewrite56.0ms (1.7%)

simplify116.0ms (3.5%)

prune38.0ms (1.1%)

localize7.0ms (0.2%)

series15.0ms (0.5%)

rewrite59.0ms (1.8%)

simplify362.0ms (10.9%)

prune55.0ms (1.7%)

localize4.0ms (0.1%)

series23.0ms (0.7%)

rewrite63.0ms (1.9%)

simplify85.0ms (2.6%)

prune50.0ms (1.5%)

localize6.0ms (0.2%)

series11.0ms (0.3%)

rewrite47.0ms (1.4%)

simplify6.0ms (0.2%)

prune26.0ms (0.8%)

regimes155.0ms (4.7%)

bsearch76.0ms (2.3%)

simplify5.0ms (0.1%)

end68.0ms (2.1%)

Profiling