Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

620×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 12.4b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* t i))
5.0b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* c z) (* t i))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* t i))
65.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* t i)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	422	552
1	1762	485
2	5001	485

prune405.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	75	21	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	21	97

Merged error: 7.6b

Counts

97 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

5.0b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))
6.5b	(* b (* c z))
6.7b	(* b (- (* t i)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))
9.0ms	(* b (- (* t i)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* j (- (* c a) (* y i)))
69.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (* c z))
27.0ms	(* b (- (* t i)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	445	484
1	2073	419
2	5001	419

prune389.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	100	21	121

Merged error: 6.0b

Counts

121 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

4.3b	(* t (* i b))
5.0b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))
6.5b	(* b (* c z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* t (* i b))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))

series190.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* t (* i b))
70.0ms	(* j (- (* c a) (* y i)))
71.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* b (* c z))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	438	454
1	1788	384
2	5001	384

prune391.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	96	21	117

Merged error: 5.5b

Counts

117 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* b c) z)
4.3b	(* t (* i b))
5.0b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (* b c) z)
5.0ms	(* t (* i b))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* b c) z)
25.0ms	(* t (* i b))
66.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	444	455
1	1912	385
2	5002	385

prune302.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	95	22	117

Merged error: 5.5b

Counts

117 → 22

regimes1.2s

Accuracy

-2% (7.4b remaining)

Error of 13.2b against oracle of 5.8b and baseline of 13.0b

bsearch409.0ms

Steps

Iters	Range		Point
7	1.2546945889198083e-228	5.889222705626756e-227	2.0658359076494335e-227
10	-6.600127466834705e-200	-5.656870102971567e-218	-6.302916407930987e-215
7	-6.863248904947588e-171	-8.937570926676317e-173	-6.355739757922022e-171
8	-5.210126947010604e-119	-1.4119442297099563e-121	-1.4281922580264389e-121

simplify13.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	91
1	111	91
2	151	91
3	198	91
4	283	91
5	349	91
6	400	91
7	461	91
8	517	91
9	546	91
10	562	91
11	562	91

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18977×

body

valid

Iter	Nodes	Cost
0	92	91
1	111	91
2	151	91
3	198	91
4	283	91
5	349	91
6	400	91
7	461	91
8	517	91
9	546	91
10	562	91
11	562	91

Iter	Nodes	Cost
0	92	91
1	111	91
2	151	91
3	198	91
4	283	91
5	349	91
6	400	91
7	461	91
8	517	91
9	546	91
10	562	91
11	562	91

Iter	Nodes	Cost
0	92	91
1	111	91
2	151	91
3	198	91
4	283	91
5	349	91
6	400	91
7	461	91
8	517	91
9	546	91
10	562	91
11	562	91