Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample82.0ms

Algorithm

intervals

Results

26.0ms	255×	body	80	invalid
21.0ms	256×	body	80	valid

simplify328.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (325.0ms)

Iter	Nodes	Cost
0	3063	29
1	3063	29

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 5.1b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.7b	(.f64 (.f64 j 27) k)
2.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

5.0ms	(.f64 (.f64 x 18) y)
6.0ms	(.f64 (.f64 j 27) k)
10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 x 18) y)
4.0ms	(.f64 (.f64 j 27) k)
28.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5163	786

prune131.0ms

Filtered

51 candidates to 91 candidates (-78.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Merged error: 1.5b

Counts

92 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 j (.f64 27 k))
2.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 j (.f64 27 k))
11.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 x 18) y)
4.0ms	(.f64 j (.f64 27 k))
28.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5035	785

prune115.0ms

Filtered

51 candidates to 91 candidates (-78.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	89	12	101

Merged error: 1.5b

Counts

101 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 j)
0.6b	(cbrt.f64 j)
2.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `pow1/3_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt.f64 j)
1.0ms	(cbrt.f64 j)
12.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

series65.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 j)
15.0ms	(cbrt.f64 j)
27.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

simplify30.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5693	648

prune109.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	77	12	89

Merged error: 1.5b

Counts

89 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b	(.f64 (.f64 (*.f64 x 18) y) z)
9.9b	(cbrt.f64 (.f64 j (.f64 27 k)))
9.9b	(cbrt.f64 (.f64 j (.f64 27 k)))
9.9b	(cbrt.f64 (.f64 j (.f64 27 k)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `cbrt-prod_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 48

Calls

4 calls:

7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
4.0ms	(cbrt.f64 (.f64 j (.f64 27 k)))
4.0ms	(cbrt.f64 (.f64 j (.f64 27 k)))
4.0ms	(cbrt.f64 (.f64 j (.f64 27 k)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
15.0ms	(cbrt.f64 (.f64 j (.f64 27 k)))
15.0ms	(cbrt.f64 (.f64 j (.f64 27 k)))
18.0ms	(cbrt.f64 (.f64 j (.f64 27 k)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5033	417

prune52.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	60	12	72

Merged error: 1.5b

Counts

72 → 12

regimes2.1s

Accuracy

40.4% (2.1b remaining)

Error of 4.4b against oracle of 2.3b and baseline of 5.9b

bsearch90.0ms

Steps

Iters	Range		Point
8	8.126226240607503e-224	3.290682498525697e-221	1.0333959432833174e-222
7	-2.0583300673515005e-08	-1.0041372073231046e-09	-4.393330308996515e-09

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	216	95
1	216	95

end0.0ms

sample2.3s

Algorithm

intervals

Results

724.0ms	8389×	body	80	invalid
673.0ms	8000×	body	80	valid

Details

analyze2.2s

sample82.0ms

simplify328.0ms

prune12.0ms

localize25.0ms

rewrite31.0ms

series43.0ms

simplify48.0ms

prune131.0ms

localize23.0ms

rewrite31.0ms

series43.0ms

simplify47.0ms

prune115.0ms

localize24.0ms

rewrite24.0ms

series65.0ms

simplify30.0ms

prune109.0ms

localize24.0ms

rewrite21.0ms

series56.0ms

simplify44.0ms

prune52.0ms

regimes2.1s

bsearch90.0ms

simplify4.0ms

end0.0ms

sample2.3s

Profiling