Details

analyze1.4s (21.3%)

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
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)

sample2.5s (37.1%)

Results

926.0ms	6334×	body	128	valid
639.0ms	986×	body	1024	valid
262.0ms	595×	body	512	valid
195.0ms	1438×	body	128	invalid
128.0ms	191×	body	1024	invalid
98.0ms	338×	body	256	valid
90.0ms	214×	body	512	invalid
40.0ms	146×	body	256	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 50 to 32 computations (36% saved)

simplify47.0ms (0.7%)

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%)

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

5.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

Compiler

Compiled 55 to 31 computations (43.6% saved)

localize8.0ms (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))
✓	4.8b	(pow.f64 (/.f64 y (+.f64 y z)) y)

series188.0ms (2.8%)

Counts

4 → 108

Calls

4 calls:

100.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
46.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
33.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
8.0ms	(/.f64 y (+.f64 y z))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
122×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
82×	`add-sqr-sqrt_binary64`
82×	`add-cube-cbrt_binary64`

Counts

4 → 195

Calls

4 calls:

17.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
8.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
5.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
3.0ms	(/.f64 y (+.f64 y z))

simplify154.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

385×	`fma-def_binary64`
358×	`times-frac_binary64`
355×	`associate-/l*_binary64`
264×	`associate-/r*_binary64`
248×	`associate-r_binary64`

Counts

303 → 430

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	9531
1	1653	9295
2	5034	9295

prune297.0ms (4.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	427	3	430
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	428	3	431

Error

0.0b

Counts

431 → 3

Alt Table

Status	Error	Program
	20.8b	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)))
	8.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
▶	2.8b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 12551 to 4713 computations (62.4% saved)

localize3.0ms (0%)

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))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`distribute-lft-out_binary64`
2×	`add-sqr-sqrt_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

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

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

572×	`unswap-sqr_binary64`
448×	`fma-neg_binary64`
321×	`fma-def_binary64`
284×	`distribute-rgt-in_binary64`
282×	`associate-+l+_binary64`

Counts

42 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	322
1	88	302
2	189	299
3	419	299
4	1068	299
5	2246	299
6	3475	299
7	4871	299
8	4894	299
9	4906	299

prune13.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

0.0b

Counts

31 → 3

Alt Table

Status	Error	Program
	20.8b	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)))
▶	8.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	2.8b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 354 to 238 computations (32.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.3%)

Counts

2 → 44

Calls

2 calls:

10.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
8.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 48

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
4.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

559×	`associate-/l*_binary64`
517×	`fma-neg_binary64`
466×	`fma-def_binary64`
340×	`associate-/l/_binary64`
311×	`associate-*l/_binary64`

Counts

92 → 81

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1172
1	240	1134
2	585	1126
3	1543	1124
4	4396	1117
5	4890	1117
6	4978	1117

prune43.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Error

0.0b

Counts

84 → 3

Alt Table

Status	Error	Program
▶	20.8b	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)))
✓	8.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	2.8b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 1167 to 398 computations (65.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (+.f64 z y))
✓	0.2b	(pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)
✓	4.8b	(pow.f64 (/.f64 y (+.f64 z y)) y)
✓	35.5b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3))

series209.0ms (3.1%)

Counts

4 → 96

Calls

4 calls:

103.0ms	(pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)
65.0ms	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3))
33.0ms	(pow.f64 (/.f64 y (+.f64 z y)) y)
8.0ms	(/.f64 y (+.f64 z y))

rewrite104.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

432×	`times-frac_binary64`
374×	`unpow-prod-down_binary64`
310×	`*-un-lft-identity_binary64`
224×	`add-sqr-sqrt_binary64`
224×	`add-cube-cbrt_binary64`

Counts

4 → 393

Calls

4 calls:

16.0ms	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3))
13.0ms	(pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)
6.0ms	(/.f64 y (+.f64 z y))
5.0ms	(pow.f64 (/.f64 y (+.f64 z y)) y)

simplify350.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
500×	`fma-def_binary64`
323×	`sqr-pow_binary64`
169×	`*-commutative_binary64`
141×	`+-commutative_binary64`

Counts

489 → 526

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	944	17529
1	2852	16747
2	4996	16747
3	5011	16747

prune362.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	526	0	526
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	526	3	529

Error

0.0b

Counts

529 → 3

Alt Table

Status	Error	Program
✓	20.8b	(+.f64 x (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) 3)))
✓	8.2b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	2.8b	(+.f64 x (/.f64 1 y))

Compiler

Compiled 17298 to 7450 computations (56.9% saved)

regimes601.0ms (9%)

Accuracy

Total 0.2b remaining (83.4%)

Threshold costs 0.2b (83.4%)

Counts

69 → 3

Compiler

Compiled 5957 to 3522 computations (40.9% saved)

bsearch43.0ms (0.6%)

Steps

Iters	Range		Point
10	2.9004447093622915e-20	1.7162784908659562e-9	1.700010920851912e-9
1	-8.753151889615123e+29	-709089156.7264491	-2.491957138022311e+19

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-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	18	41
1	25	41
2	27	41
3	28	41
4	27	41

end52.0ms (0.8%)

Compiler: Compiled 95 to 56 computations (41.1% saved)

Details

analyze1.4s (21.3%)

sample2.5s (37.1%)

simplify47.0ms (0.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series188.0ms (2.8%)

rewrite51.0ms (0.8%)

simplify154.0ms (2.3%)

prune297.0ms (4.5%)

localize3.0ms (0%)

series4.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify91.0ms (1.4%)

prune13.0ms (0.2%)

localize5.0ms (0.1%)

series19.0ms (0.3%)

rewrite10.0ms (0.1%)

simplify88.0ms (1.3%)

prune43.0ms (0.6%)

localize9.0ms (0.1%)

series209.0ms (3.1%)

rewrite104.0ms (1.6%)

simplify350.0ms (5.3%)

prune362.0ms (5.4%)

regimes601.0ms (9%)

bsearch43.0ms (0.6%)

simplify3.0ms (0%)

end52.0ms (0.8%)

Profiling