Details

analyze544.0ms (17%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.4s (42.8%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 92 to 80 computations (13% saved)

simplify73.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
480×	`unsub-neg_binary64`
457×	`sub-neg_binary64`
410×	`div-sub_binary64`
342×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	114	29
4	299	29
5	1006	26
6	2842	26
7	4184	26
8	4491	26
9	4846	26

prune4.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 86 to 76 computations (11.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 t))
✓	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
✓	0.0b	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

series12.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(/.f64 2 (+.f64 1 t))
3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
3.0ms	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
2.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64`
33×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
29×	`add-cube-cbrt_binary64`
18×	`fma-def_binary64`

Counts

4 → 110

Calls

4 calls:

8.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
4.0ms	(/.f64 2 (+.f64 1 t))
2.0ms	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

simplify114.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

839×	`times-frac_binary64`
756×	`fma-neg_binary64`
388×	`fma-def_binary64`
322×	`sub-neg_binary64`
198×	`cancel-sign-sub-inv_binary64`

Counts

158 → 215

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	2668
1	474	2431
2	1126	2406
3	2962	2404
4	4761	2404
5	5319	2404

prune233.0ms (7.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	2	285

Error

Counts

285 → 2

Alt Table

Status	Error	Program
▶	0.4b	(-.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 7091 to 6235 computations (12.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.4b	(exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
✓	0.9b	(log.f64 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))

series7.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
3.0ms	(log.f64 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`exp-prod_binary64`
18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`

Counts

2 → 50

Calls

2 calls:

3.0ms	(log.f64 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))))
2.0ms	(exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

simplify169.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

573×	`cancel-sign-sub-inv_binary64`
540×	`associate-l_binary64`
406×	`fma-neg_binary64`
252×	`sub-neg_binary64`
223×	`associate-/r*_binary64`

Counts

74 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1830
1	221	1693
2	560	1663
3	1533	1599
4	4298	1599
5	4856	1599
6	5062	1599

prune174.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	209	2	211

Error

Counts

211 → 2

Alt Table

Status	Error	Program
✓	0.4b	(-.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))))
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 5978 to 5325 computations (10.9% saved)

regimes379.0ms (11.8%)

Accuracy

Total 0.0b remaining (25.7%)

Threshold costs 0.0b (25.7%)

Counts

59 → 1

Compiler

Compiled 6837 to 5982 computations (12.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	18	26
2	24	26
3	26	26
4	27	26
5	25	26

end66.0ms (2.1%)

Compiler: Compiled 78 to 70 computations (10.3% saved)

Details

analyze544.0ms (17%)

sample1.4s (42.8%)

simplify73.0ms (2.3%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

series12.0ms (0.4%)

rewrite22.0ms (0.7%)

simplify114.0ms (3.5%)

prune233.0ms (7.3%)

localize12.0ms (0.4%)

series7.0ms (0.2%)

rewrite11.0ms (0.3%)

simplify169.0ms (5.3%)

prune174.0ms (5.4%)

regimes379.0ms (11.8%)

simplify3.0ms (0.1%)

end66.0ms (2.1%)

Profiling