Details

analyze1.3s (32.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
25%	75%	0%	4
37.5%	62.5%	0%	5
43.7%	56.2%	0%	6
46.9%	53.1%	0%	7
46.9%	53.1%	0%	8
46.9%	53.1%	0%	9
47.2%	52.7%	0%	10
47.3%	52.6%	0%	11
47.4%	52.6%	0%	12
47.5%	52.5%	0%	13
47.5%	52.4%	0%	14

Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.4s (34.5%)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 61 to 53 computations (13.1% saved)

simplify77.0ms (1.9%)

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 (0.2%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

5.0ms	(/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
3.0ms	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
2.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
73×	`add-sqr-sqrt_binary64`
62×	`add-cube-cbrt_binary64`
61×	`times-frac_binary64`
39×	`prod-diff_binary64`

Counts

4 → 151

Calls

4 calls:

9.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
7.0ms	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
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)

simplify203.0ms (5%)

Algorithm

1×	egg-herbie

Rules

978×	`fma-neg_binary64`
517×	`fma-def_binary64`
365×	`sub-neg_binary64`
254×	`associate-l_binary64`
211×	`cancel-sign-sub-inv_binary64`

Counts

199 → 245

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	6294
1	505	5097
2	1299	4140
3	3718	4135
4	4564	4020
5	4938	4020
6	4838	4020

prune276.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	244	2	246

Error

Counts

246 → 2

Alt Table

Status	Error	Program
▶	31.4b	(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 9668 to 8609 computations (11% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
✓	0.0b	(-.f64 5/6 (/.f64 2/9 t))
✓	0.4b	(/.f64 2/9 t)
✓	0.4b	(/.f64 1/27 (*.f64 t t))

series8.0ms (0.2%)

Counts

4 → 36

Calls

4 calls:

3.0ms	(/.f64 1/27 (*.f64 t t))
2.0ms	(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
2.0ms	(-.f64 5/6 (/.f64 2/9 t))
1.0ms	(/.f64 2/9 t)

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`*-un-lft-identity_binary64`
104×	`add-sqr-sqrt_binary64`
99×	`add-cube-cbrt_binary64`
88×	`times-frac_binary64`
78×	`prod-diff_binary64`

Counts

4 → 202

Calls

4 calls:

15.0ms	(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
7.0ms	(-.f64 5/6 (/.f64 2/9 t))
4.0ms	(/.f64 1/27 (*.f64 t t))
2.0ms	(/.f64 2/9 t)

simplify124.0ms (3%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-def_binary64`
391×	`distribute-rgt-in_binary64`
372×	`distribute-lft-in_binary64`
262×	`fma-neg_binary64`
159×	`cancel-sign-sub-inv_binary64`

Counts

238 → 262

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	3696
1	707	2951
2	1730	2657
3	4523	2657
4	4740	2657

prune177.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	262	2	264

Error

Counts

264 → 2

Alt Table

Status	Error	Program
✓	31.4b	(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
✓	0.0b	(-.f64 1 (/.f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))

Compiler

Compiled 7108 to 5028 computations (29.3% saved)

regimes280.0ms (6.8%)

Accuracy

Total 0.0b remaining (9.6%)

Threshold costs 0.0b (9.6%)

Counts

46 → 1

Compiler

Compiled 4973 to 4272 computations (14.1% 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

end82.0ms (2%)

Compiler: Compiled 69 to 60 computations (13% saved)

Details

analyze1.3s (32.7%)

sample1.4s (34.5%)

simplify77.0ms (1.9%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series13.0ms (0.3%)

rewrite34.0ms (0.8%)

simplify203.0ms (5%)

prune276.0ms (6.7%)

localize6.0ms (0.2%)

series8.0ms (0.2%)

rewrite46.0ms (1.1%)

simplify124.0ms (3%)

prune177.0ms (4.3%)

regimes280.0ms (6.8%)

simplify3.0ms (0.1%)

end82.0ms (2%)

Profiling