Details

analyze2.3s

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

21.0ms	256×	body	80	valid
20.0ms	248×	body	80	invalid

simplify317.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	3063	29
1	3063	29

prune18.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 (.f64 j 27) k)
3.1b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.1b	(.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)
5.0ms	(.f64 (.f64 j 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)

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 (.f64 x 18) y)
4.0ms	(.f64 (.f64 j 27) k)
30.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5163	786

prune177.0ms

Filtered

51 candidates to 91 candidates (-78.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	80	11	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	11	92

Merged error: 1.3b

Counts

92 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 j (.f64 27 k))
3.1b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.1b	(.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))
10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
8.0ms	(.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)

simplify46.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5035	785

prune168.0ms

Filtered

51 candidates to 91 candidates (-78.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	89	13	102

Merged error: 1.3b

Counts

102 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 18 y))
0.2b	(.f64 (.f64 j 27) k)
3.1b	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
5.1b	(.f64 (.f64 x (*.f64 18 y)) z)

rewrite30.0ms

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 x (.f64 18 y))
4.0ms	(.f64 (.f64 j 27) k)
29.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 x (*.f64 18 y)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4998	787
1	4998	787

prune154.0ms

Filtered

49 candidates to 91 candidates (-85.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	91	13	104

Merged error: 1.3b

Counts

104 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 j)
0.6b	(cbrt.f64 j)
3.1b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.1b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite22.0ms

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)
10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

series66.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 j)
15.0ms	(cbrt.f64 j)
29.0ms	(.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

prune84.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	77	13	90

Merged error: 1.3b

Counts

90 → 13

regimes2.5s

Accuracy

28.2% (2.4b remaining)

Error of 4.4b against oracle of 2.1b and baseline of 5.3b

bsearch94.0ms

Steps

Iters	Range		Point
7	3.2354829090364436e-175	1.1458575595506815e-173	3.8655741451468563e-174
9	-1.9689002695235343e-36	-2.360046075866966e-42	-2.6080403383953227e-42

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	177	59
1	177	59

end0.0ms

sample2.3s

Algorithm

intervals

Results

723.0ms	8054×	body	80	invalid
687.0ms	8000×	body	80	valid

Details

analyze2.3s

sample82.0ms

simplify317.0ms

prune18.0ms

localize21.0ms

rewrite31.0ms

series45.0ms

simplify45.0ms

prune177.0ms

localize24.0ms

rewrite31.0ms

series43.0ms

simplify46.0ms

prune168.0ms

localize21.0ms

rewrite30.0ms

series44.0ms

simplify45.0ms

prune154.0ms

localize26.0ms

rewrite22.0ms

series66.0ms

simplify30.0ms

prune84.0ms

regimes2.5s

bsearch94.0ms

simplify3.0ms

end0.0ms

sample2.3s

Profiling