Details

analyze304.0ms (11.3%)

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%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (56.1%)

Results

999.0ms	8256×	body	128	valid
492.0ms	4461×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess41.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

574×	`times-frac_binary64`
403×	`associate-l_binary64`
372×	`associate-r_binary64`
304×	`fma-neg_binary64`
216×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	55	48
2	133	48
3	299	48
4	540	48
5	1222	48
6	4925	48
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify22.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
477×	`associate-/l/_binary64`
420×	`associate-/r/_binary64`
262×	`times-frac_binary64`
256×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	12
2	41	12
3	89	12
4	157	12
5	313	12
6	969	12
7	2570	12

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
	15.0b	(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

Compiler

Compiled 66 to 42 computations (36.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓	0.3b	(*.f64 y (log.f64 y))

series108.0ms (4%)

Counts

3 → 80

Calls

21 calls:

16.0ms	(*.f64 y (log.f64 y))	y	0
11.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)	z	0
11.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)	x	0
10.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)	z	inf
9.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)	x	-inf

rewrite61.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`fma-def_binary64`
494×	`log-prod_binary64`
255×	`fma-neg_binary64`
184×	`egg-rr`
184×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	195	28
2	2825	28

Stop Event

1×	node limit

Counts

3 → 184

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

494×	`cancel-sign-sub-inv_binary64`
402×	`associate-l_binary64`
375×	`fma-neg_binary64`
360×	`associate-r_binary64`
344×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	1105
1	264	1063
2	772	957
3	3171	957

Stop Event

1×	node limit

Counts

264 → 224

prune110.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	224	2	226

Error

Counts

226 → 2

Alt Table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	15.0b	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

Compiler

Compiled 3623 to 1127 computations (68.9% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

series205.0ms (7.6%)

Counts

1 → 36

Calls

9 calls:

50.0ms	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))	z	-inf
50.0ms	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))	x	-inf
48.0ms	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))	z	inf
48.0ms	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))	x	inf
2.0ms	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))	x	0

rewrite40.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
89×	`add-sqr-sqrt_binary64`
83×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	171	12
2	2295	12

Stop Event

1×	node limit

Counts

1 → 17

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

758×	`cancel-sign-sub-inv_binary64`
618×	`associate-l_binary64`
525×	`associate-r_binary64`
457×	`fma-neg_binary64`
431×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	683
1	227	661
2	753	610
3	3860	606

Stop Event

1×	node limit

Counts

53 → 40

prune20.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Error

Counts

42 → 2

Alt Table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓	15.0b	(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

Compiler

Compiled 700 to 241 computations (65.6% saved)

regimes125.0ms (4.6%)

Accuracy

Total 0.0b remaining (82.3%)

Threshold costs 0.0b (82.3%)

Counts

17 → 1

Compiler

Compiled 1322 to 909 computations (31.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	10	12
2	15	12
3	17	12
4	18	12

Stop Event

1×

saturated

end40.0ms (1.5%)

Stop Event

1×

done

Compiler

Compiled 45 to 29 computations (35.6% saved)

Details

analyze304.0ms (11.3%)

sample1.5s (56.1%)

preprocess41.0ms (1.5%)

simplify22.0ms (0.8%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

series108.0ms (4%)

rewrite61.0ms (2.3%)

simplify48.0ms (1.8%)

prune110.0ms (4.1%)

localize7.0ms (0.3%)

series205.0ms (7.6%)

rewrite40.0ms (1.5%)

simplify39.0ms (1.5%)

prune20.0ms (0.8%)

regimes125.0ms (4.6%)

simplify2.0ms (0.1%)

end40.0ms (1.5%)

Profiling