Details

analyze255.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	242	10
1	242	10

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: 3.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 y z))
3.7b	(.f64 x (-.f64 1 (.f64 y z)))

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 (*.f64 y z))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(-.f64 1 (*.f64 y z))
47.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4853	459
1	4853	459

prune39.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	30	9	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	9	40

Merged error: 3.7b

Counts

40 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
8.3b	(.f64 x (neg.f64 (.f64 y z)))

rewrite9.0ms

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` `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 → 34

Calls

2 calls:

3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
5.0ms	(.f64 x (neg.f64 (.f64 y z)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
26.0ms	(.f64 x (neg.f64 (.f64 y z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4991	451
1	4991	451

prune31.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

3.7b	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.8b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
34×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
14×	`associate-*l/_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

20.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
151.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
150.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
159.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5312	2243

prune114.0ms

Filtered

73 candidates to 98 candidates (-34.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
5.3b	(.f64 (.f64 x y) (neg.f64 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

3.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
6.0ms	(.f64 (.f64 x y) (neg.f64 z))

series68.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 x (.f64 (.f64 x y) (neg.f64 z)))
28.0ms	(.f64 (.f64 x y) (neg.f64 z))

simplify72.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4951	485
1	4951	485

prune20.0ms

Filtered

30 candidates to 44 candidates (-46.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	43	10	53

Merged error: 0.0b

Counts

53 → 10

regimes176.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	40
1	88	40

end0.0ms

sample388.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
15.0ms	530×	body	80	invalid

Details

analyze255.0ms

sample14.0ms

simplify28.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series66.0ms

simplify82.0ms

prune39.0ms

localize6.0ms

rewrite9.0ms

series66.0ms

simplify75.0ms

prune31.0ms

localize9.0ms

rewrite33.0ms

series513.0ms

simplify73.0ms

prune114.0ms

localize6.0ms

rewrite11.0ms

series68.0ms

simplify72.0ms

prune20.0ms

regimes176.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample388.0ms

Profiling