Details

analyze1.2s (25%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.3%	91.3%	6.4%	9
3.5%	87%	9.5%	10
4.1%	86.4%	9.5%	11
18.4%	66.6%	15%	12
20.5%	61.8%	17.7%	13
21.9%	60.4%	17.7%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.4s (49.9%)

Results

892.0ms	6353×	body	128	valid
632.0ms	1006×	body	1024	valid
246.0ms	577×	body	512	valid
178.0ms	1434×	body	128	invalid
106.0ms	179×	body	1024	invalid
104.0ms	260×	body	512	invalid
92.0ms	316×	body	256	valid
42.0ms	152×	body	256	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 50 to 32 computations (36% saved)

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	19	16
2	28	16
3	56	16
4	119	16
5	280	16
6	672	16
7	2284	16
8	4398	16
9	4953	16

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

6.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.2b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 55 to 31 computations (43.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
✓	0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓	0.0b	(/.f64 y (+.f64 y z))
✓	6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)

series194.0ms (4.1%)

Counts

4 → 108

Calls

4 calls:

104.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
47.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
34.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
9.0ms	(/.f64 y (+.f64 y z))

rewrite71.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

374×	`fma-def_binary64`
205×	`expm1-udef_binary64`
205×	`log1p-udef_binary64`
198×	`fma-neg_binary64`
187×	`log-pow_binary64`

Counts

4 → 142

Calls

4 calls:

68.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
68.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
68.0ms	(/.f64 y (+.f64 y z))
68.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	214	46
2	3119	46
3	5093	46
0	0	0
1	0	0

simplify119.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

347×	`fma-def_binary64`
340×	`associate-+r+_binary64`
336×	`+-commutative_binary64`
277×	`associate-+l+_binary64`
244×	`fma-neg_binary64`

Counts

250 → 265

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	5179
1	1183	5024
2	4749	4898
3	4981	4898

prune180.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	262	3	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	262	4	266

Error

0.0b

Counts

266 → 4

Alt Table

Status	Error	Program
	44.8b	(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
✓	6.2b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
	10.9b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
▶	1.5b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 8401 to 3965 computations (52.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 1 y))

series4.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(+.f64 x (/.f64 1 y))

rewrite42.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
483×	`prod-diff_binary64`
112×	`expm1-udef_binary64`
112×	`log1p-udef_binary64`

Counts

1 → 35

Calls

1 calls:

41.0ms

(+.f64 x (/.f64 1 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1568	7
3	5021	7
0	0	0
1	0	0

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

59 → 38

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	138
1	9	138
2	8	138

prune20.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	38	4	42

Error

0.0b

Counts

42 → 4

Alt Table

Status	Error	Program
	44.8b	(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
✓	6.2b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
▶	10.9b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	1.5b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 477 to 313 computations (34.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

series7.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite46.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
374×	`unpow-prod-down_binary64`
279×	`log-prod_binary64`
140×	`pow2_binary64`

Counts

1 → 66

Calls

1 calls:

45.0ms

(/.f64 (exp.f64 (neg.f64 z)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	6
2	1361	6
3	5218	6
0	0	0
1	0	0

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

598×	`distribute-rgt-neg-in_binary64`
426×	`div-sub_binary64`
397×	`fma-neg_binary64`
389×	`cancel-sign-sub-inv_binary64`
376×	`distribute-neg-frac_binary64`

Counts

74 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	59	96
2	138	96
3	337	96
4	1038	93
5	3223	93
6	4620	93
7	5172	93

prune43.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	74	4	78

Error

Counts

78 → 4

Alt Table

Status	Error	Program
	44.8b	(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
✓	6.2b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓	1.5b	(+.f64 x (/.f64 1 y))
▶	10.9b	(+.f64 x (pow.f64 (*.f64 y (exp.f64 z)) -1))

Compiler

Compiled 1103 to 514 computations (53.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (*.f64 y (exp.f64 z)) -1)
✓	0.0b	(*.f64 y (exp.f64 z))

series24.0ms (0.5%)

Counts

2 → 28

Calls

2 calls:

19.0ms	(pow.f64 (*.f64 y (exp.f64 z)) -1)
5.0ms	(*.f64 y (exp.f64 z))

rewrite45.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
179×	`pow2_binary64`
122×	`pow1/3_binary64`

Counts

2 → 47

Calls

2 calls:

44.0ms	(pow.f64 (*.f64 y (exp.f64 z)) -1)
44.0ms	(*.f64 y (exp.f64 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	139	15
2	1543	14
3	4928	14
0	0	0
1	0	0

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-def_binary64`
389×	`fma-neg_binary64`
386×	`cancel-sign-sub-inv_binary64`
321×	`associate-/l*_binary64`
255×	`associate-/r/_binary64`

Counts

75 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	302
1	88	294
2	227	271
3	593	263
4	1841	260
5	4201	260
6	4843	260
7	5137	260

prune33.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Status	Error	Program
	44.8b	(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
✓	6.2b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓	1.5b	(+.f64 x (/.f64 1 y))
✓	10.9b	(+.f64 x (pow.f64 (*.f64 y (exp.f64 z)) -1))

Compiler

Compiled 791 to 397 computations (49.8% saved)

regimes88.0ms (1.8%)

Accuracy

Total 2.0b remaining (98.7%)

Threshold costs 0b (0%)

Counts

11 → 3

Compiler

Compiled 807 to 542 computations (32.8% saved)

bsearch0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-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	25	75
1	35	75
2	37	75
3	38	75
4	37	75

end61.0ms (1.3%)

Compiler: Compiled 151 to 84 computations (44.4% saved)

Details

analyze1.2s (25%)

sample2.4s (49.9%)

simplify53.0ms (1.1%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series194.0ms (4.1%)

rewrite71.0ms (1.5%)

simplify119.0ms (2.5%)

prune180.0ms (3.8%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite42.0ms (0.9%)

simplify8.0ms (0.2%)

prune20.0ms (0.4%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite46.0ms (1%)

simplify62.0ms (1.3%)

prune43.0ms (0.9%)

localize5.0ms (0.1%)

series24.0ms (0.5%)

rewrite45.0ms (0.9%)

simplify69.0ms (1.4%)

prune33.0ms (0.7%)

regimes88.0ms (1.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end61.0ms (1.3%)

Profiling