Details

analyze378.0ms (2.7%)

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%	87.4%	12.6%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
12.5%	56.2%	31.4%	8
14%	48.4%	37.6%	9
21.1%	41.3%	37.6%	10
26.9%	32.4%	40.7%	11
28.7%	27.5%	43.8%	12
33.4%	22.7%	43.8%	13
37.2%	17.4%	45.4%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.3s (9%)

Results

932.0ms	8256×	body	128	valid
88.0ms	851×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify208.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2528×	`fma-neg_binary64`
1701×	`fma-def_binary64`
364×	`distribute-rgt-in_binary64`
336×	`unsub-neg_binary64`
328×	`associate--r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	15	12
2	23	12
3	39	12
4	85	12
5	184	12
6	322	12
7	518	12
8	681	12
9	1097	12
10	1783	12
11	1812	12
12	1882	12
13	1916	12
14	1930	12
15	3312	12
16	4220	12
17	3919	12
18	4053	12
19	4118	12
20	4154	12
21	4164	12
22	4224	12
23	4182	12
24	4182	12
25	5994	12

prune1.0ms (0%)

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

14.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
✓	0.3b	(*.f64 x (log.f64 (/.f64 x y)))
✓	13.6b	(log.f64 (/.f64 x y))

series1.0s (7.4%)

Counts

3 → 84

Calls

3 calls:

390.0ms	(*.f64 x (log.f64 (/.f64 x y)))
381.0ms	(log.f64 (/.f64 x y))
256.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod_binary64`
45×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
42×	`add-cube-cbrt_binary64`

Counts

3 → 119

Calls

3 calls:

5.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms	(*.f64 x (log.f64 (/.f64 x y)))
2.0ms	(log.f64 (/.f64 x y))

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
603×	`fma-neg_binary64`
459×	`distribute-rgt-in_binary64`
432×	`distribute-lft-in_binary64`
129×	`associate-l_binary64`

Counts

203 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	2794
1	420	2726
2	1328	2685
3	4402	2685
4	4978	2685
5	4998	2685
6	4957	2685

prune139.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	171	7	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	8	179

Error

0.0b

Counts

179 → 8

Alt Table

Status	Error	Program
	14.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (cbrt.f64 (.f64 x (log.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
▶	0.2b	(-.f64 (.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
	4.2b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
	33.4b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
✓	14.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
	14.0b	(-.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
	4.2b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	31.1b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)

Compiler

Compiled 3149 to 988 computations (68.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
✓	0.4b	(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
✓	0.6b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 x)

series1.9s (13.8%)

Counts

4 → 72

Calls

4 calls:

1.5s	(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
384.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
28.0ms	(cbrt.f64 x)
28.0ms	(cbrt.f64 y)

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`cbrt-prod_binary64`
144×	`times-frac_binary64`
120×	`log-prod_binary64`
110×	`*-un-lft-identity_binary64`
109×	`add-sqr-sqrt_binary64`

Counts

4 → 226

Calls

4 calls:

14.0ms	(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
3.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)

simplify156.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-def_binary64`
409×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
309×	`fma-neg_binary64`
191×	`sub-neg_binary64`

Counts

298 → 400

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	5509
1	597	5154
2	1660	4586
3	4596	4512
4	5009	4512

prune487.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	536	0	536
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	536	8	544

Error

0.0b

Counts

544 → 8

Alt Table

Status	Error	Program
	14.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (cbrt.f64 (.f64 x (log.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
✓	0.2b	(-.f64 (.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
▶	4.2b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
	33.4b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
✓	14.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
	14.0b	(-.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
	4.2b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	31.1b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)

Compiler

Compiled 15041 to 5074 computations (66.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.5b	(+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x))
	0.6b	(cbrt.f64 x)
✓	3.9b	(log.f64 (/.f64 (cbrt.f64 x) y))

series3.9s (28%)

Counts

3 → 60

Calls

3 calls:

2.6s	(+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x))
1.2s	(log.f64 (/.f64 (cbrt.f64 x) y))
36.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
25×	`cbrt-prod_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`log-prod_binary64`

Counts

3 → 92

Calls

3 calls:

5.0ms	(+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x))
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-neg_binary64`
459×	`distribute-rgt-in_binary64`
437×	`fma-def_binary64`
427×	`distribute-lft-in_binary64`
243×	`log-prod_binary64`

Counts

152 → 148

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	2365
1	423	2161
2	1338	1870
3	4324	1820
4	4952	1820
5	5161	1820

prune192.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	202	8	210

Error

0.0b

Counts

210 → 8

Alt Table

Status	Error	Program
	14.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (cbrt.f64 (.f64 x (log.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
✓	0.2b	(-.f64 (.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
✓	4.2b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
	33.4b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
✓	14.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
	14.0b	(-.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
▶	4.2b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	31.1b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)

Compiler

Compiled 5453 to 2210 computations (59.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))
	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
	3.9b	(log.f64 (/.f64 (cbrt.f64 x) y))

series2.7s (19.2%)

Counts

1 → 24

Calls

1 calls:

2.7s	(+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`log-prod_binary64`
22×	`associate-+r+_binary64`
21×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`

Counts

1 → 52

Calls

1 calls:

8.0ms

(+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1044×	`fma-neg_binary64`
411×	`sub-neg_binary64`
338×	`log-prod_binary64`
326×	`fma-def_binary64`
223×	`distribute-rgt-in_binary64`

Counts

76 → 92

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	151	1497
1	328	1162
2	1028	948
3	3381	939
4	4488	939
5	4910	936
6	4940	936
7	4881	936

prune236.0ms (1.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	261	8	269

Error

0.0b

Counts

269 → 8

Alt Table

Status	Error	Program
	14.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 (/.f64 x y)))) (cbrt.f64 (.f64 x (log.f64 (/.f64 x y))))) (cbrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
✓	0.2b	(-.f64 (.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
✓	4.2b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
	33.4b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
✓	14.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
	14.0b	(-.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
✓	4.2b	(-.f64 (.f64 x (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
	31.1b	(-.f64 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (neg.f64 x)) x)) z)

Compiler

Compiled 6330 to 2579 computations (59.3% saved)

regimes677.0ms (4.9%)

Accuracy

Total 0.2b remaining (89%)

Threshold costs 0.2b (89%)

Counts

127 → 1

Compiler

Compiled 11911 to 7696 computations (35.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	16	19
2	21	19
3	23	19
4	24	19
5	24	19

end122.0ms (0.9%)

Compiler: Compiled 199 to 116 computations (41.7% saved)

Details

analyze378.0ms (2.7%)

sample1.3s (9%)

simplify208.0ms (1.5%)

prune1.0ms (0%)

localize6.0ms (0%)

series1.0s (7.4%)

rewrite21.0ms (0.2%)

simplify142.0ms (1%)

prune139.0ms (1%)

localize10.0ms (0.1%)

series1.9s (13.8%)

rewrite46.0ms (0.3%)

simplify156.0ms (1.1%)

prune487.0ms (3.5%)

localize14.0ms (0.1%)

series3.9s (28%)

rewrite17.0ms (0.1%)

simplify111.0ms (0.8%)

prune192.0ms (1.4%)

localize12.0ms (0.1%)

series2.7s (19.2%)

rewrite13.0ms (0.1%)

simplify124.0ms (0.9%)

prune236.0ms (1.7%)

regimes677.0ms (4.9%)

simplify3.0ms (0%)

end122.0ms (0.9%)

Profiling