Details

analyze425.0ms (18.4%)

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)

sample99.0ms (4.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify130.0ms (5.6%)

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 (0.1%)

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

13.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.6b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 30 to 18 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	12.9b	(/.f64 (*.f64 x (-.f64 y z)) y)

series18.0ms (0.8%)

Counts

2 → 72

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	(*.f64 x (-.f64 y z))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 75

Calls

2 calls:

8.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
5.0ms	(*.f64 x (-.f64 y z))

simplify90.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-neg_binary64`
321×	`div-sub_binary64`
313×	`associate-*l/_binary64`
290×	`associate-/r*_binary64`
263×	`fma-def_binary64`

Counts

147 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1568
1	298	1439
2	1158	1383
3	3774	1383
4	4927	1383
5	5098	1383

prune59.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Error

0.0b

Counts

109 → 4

Alt Table

Status	Error	Program
	5.0b	(-.f64 x (/.f64 (*.f64 z x) y))
	3.6b	(*.f64 x (/.f64 (-.f64 y z) y))
▶	3.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	13.7b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))

Compiler

Compiled 1719 to 485 computations (71.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series30.0ms (1.3%)

Counts

2 → 60

Calls

2 calls:

20.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
9.0ms	(/.f64 y (-.f64 y z))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64`
102×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`

Counts

2 → 143

Calls

2 calls:

7.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
4.0ms	(/.f64 y (-.f64 y z))

simplify125.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
516×	`associate-/r/_binary64`
497×	`times-frac_binary64`
463×	`associate-/l*_binary64`
459×	`associate-/l/_binary64`

Counts

203 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	3761
1	540	3647
2	1917	3540
3	4751	3528
4	5354	3528

prune85.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	209	5	214

Error

Counts

214 → 5

Alt Table

Status	Error	Program
	5.0b	(-.f64 x (/.f64 (*.f64 z x) y))
▶	3.6b	(*.f64 x (/.f64 (-.f64 y z) y))
	11.4b	(/.f64 (/.f64 x y) (/.f64 1 (-.f64 y z)))
✓	3.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	13.7b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))

Compiler

Compiled 3637 to 853 computations (76.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	3.3b	(*.f64 x (/.f64 (-.f64 y z) y))

series21.0ms (0.9%)

Counts

2 → 60

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
5.0ms	(/.f64 (-.f64 y z) y)

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`

Counts

2 → 80

Calls

2 calls:

9.0ms	(/.f64 (-.f64 y z) y)
7.0ms	(*.f64 x (/.f64 (-.f64 y z) y))

simplify87.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
513×	`associate-/r/_binary64`
290×	`associate-l_binary64`
276×	`associate-*l/_binary64`
268×	`associate-*r/_binary64`

Counts

140 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1631
1	275	1534
2	871	1532
3	2610	1532
4	4832	1532
5	4977	1532

prune52.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Error

Counts

120 → 5

Alt Table

Status	Error	Program
▶	5.0b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	3.6b	(*.f64 x (/.f64 (-.f64 y z) y))
	11.4b	(/.f64 (/.f64 x y) (/.f64 1 (-.f64 y z)))
✓	3.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	13.7b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))

Compiler

Compiled 1660 to 463 computations (72.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 (*.f64 z x) y)

series12.0ms (0.5%)

Counts

1 → 0

Calls

1 calls:

11.0ms

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/r*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

3.0ms

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

simplify105.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1114×	`div-sub_binary64`
994×	`associate-/r/_binary64`
985×	`fma-neg_binary64`
841×	`fma-def_binary64`
355×	`associate-/l*_binary64`

Counts

23 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	261
1	117	216
2	399	216
3	1584	216
4	1842	216
5	1965	216
6	2373	216
7	3409	216
8	4190	216
9	4557	216
10	4731	216

prune18.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	29	4	33

Error

Counts

33 → 4

Alt Table

Status	Error	Program
✓	3.6b	(*.f64 x (/.f64 (-.f64 y z) y))
	4.8b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	3.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	13.7b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))

Compiler

Compiled 368 to 140 computations (62% saved)

regimes223.0ms (9.7%)

Accuracy

Total 2.2b remaining (99.4%)

Threshold costs 0b (0%)

Counts

33 → 3

Compiler

Compiled 1798 to 1026 computations (42.9% saved)

bsearch17.0ms (0.7%)

Steps

Iters	Range		Point
7	-3.683163587302732e-287	-1.9329312702028997e-289	-4.706085207486899e-289
2	-7.507375308171237e-18	-1.2771226995559697e-24	-1.569308653238193e-19

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	25	42
2	35	42
3	46	42
4	52	42
5	55	42
6	56	42
7	56	42

end1.0ms (0%)

Compiler: Compiled 32 to 17 computations (46.9% saved)

sample622.0ms (27%)

Algorithm

1×

intervals

Results

277.0ms	8000×	body	128	valid
28.0ms	710×	body	128	invalid

Compiler

Compiled 88 to 53 computations (39.8% saved)

Details

analyze425.0ms (18.4%)

sample99.0ms (4.3%)

simplify130.0ms (5.6%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series18.0ms (0.8%)

rewrite18.0ms (0.8%)

simplify90.0ms (3.9%)

prune59.0ms (2.6%)

localize4.0ms (0.2%)

series30.0ms (1.3%)

rewrite26.0ms (1.1%)

simplify125.0ms (5.4%)

prune85.0ms (3.7%)

localize4.0ms (0.2%)

series21.0ms (0.9%)

rewrite21.0ms (0.9%)

simplify87.0ms (3.8%)

prune52.0ms (2.3%)

localize4.0ms (0.2%)

series12.0ms (0.5%)

rewrite4.0ms (0.2%)

simplify105.0ms (4.6%)

prune18.0ms (0.8%)

regimes223.0ms (9.7%)

bsearch17.0ms (0.7%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample622.0ms (27%)

Profiling