Details

analyze58.0ms

Algorithm

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune2.0ms

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

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1.0 (*.f64 x y))
0.1b	(.f64 x (-.f64 1.0 (.f64 x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

3.0ms	(-.f64 1.0 (*.f64 x y))
6.0ms	(.f64 x (-.f64 1.0 (.f64 x y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 1.0 (*.f64 x y))
8.0ms	(.f64 x (-.f64 1.0 (.f64 x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4942	331
1	4942	331

prune47.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 1.0) (.f64 x (neg.f64 (*.f64 x y))))
0.1b	(.f64 x (neg.f64 (.f64 x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-r_binary64` `add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(+.f64 (.f64 x 1.0) (.f64 x (neg.f64 (*.f64 x y))))
5.0ms	(.f64 x (neg.f64 (.f64 x y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (.f64 x 1.0) (.f64 x (neg.f64 (*.f64 x y))))
5.0ms	(.f64 x (neg.f64 (.f64 x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4929	321
1	4929	321

prune40.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
9.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
44.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
56.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4965	1388
1	4965	1388

prune120.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 1.0) (.f64 (*.f64 x (neg.f64 x)) y))
9.7b	(.f64 (.f64 x (neg.f64 x)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms	(+.f64 (.f64 x 1.0) (.f64 (*.f64 x (neg.f64 x)) y))
6.0ms	(.f64 (.f64 x (neg.f64 x)) y)

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x 1.0) (.f64 (*.f64 x (neg.f64 x)) y))
5.0ms	(.f64 (.f64 x (neg.f64 x)) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5172	297

prune26.0ms

Filtered

24 candidates to 37 candidates (-54.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	9
1	46	9

end0.0ms

sample290.0ms

Algorithm

intervals

Results

171.0ms	8000×	body	80	valid
2.0ms	91×	body	80	invalid

Details

analyze58.0ms

sample12.0ms

simplify13.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify52.0ms

prune47.0ms

localize7.0ms

rewrite10.0ms

series15.0ms

simplify52.0ms

prune40.0ms

localize11.0ms

rewrite20.0ms

series195.0ms

simplify57.0ms

prune120.0ms

localize9.0ms

rewrite11.0ms

series13.0ms

simplify50.0ms

prune26.0ms

regimes84.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample290.0ms

Profiling