Details

sample81.0ms

Algorithm

intervals

Results

47.0ms

586×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 13.2b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
5.0b	(* b (- (* c z) (* i a)))
5.7b	(* j (- (* c t) (* i y)))
6.8b	(* x (- (* y z) (* t a)))

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

series233.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* y z) (* t a))
65.0ms	(* b (- (* c z) (* i a)))
63.0ms	(* j (- (* c t) (* i y)))
68.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune398.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	73	23	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	23	97

Merged error: 8.8b

Counts

97 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* c z) (* i a)))
5.2b	(* x (* y z))
5.7b	(* j (- (* c t) (* i y)))
8.0b	(* x (- (* t a)))

rewrite24.0ms

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

series183.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (* y z))
63.0ms	(* j (- (* c t) (* i y)))
31.0ms	(* x (- (* t a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	444	484
1	2062	419
2	5001	419

prune406.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	102	21	123

Merged error: 6.6b

Counts

123 → 21

localize27.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* x (- t)) a)
5.0b	(* b (- (* c z) (* i a)))
5.2b	(* x (* y z))
5.7b	(* j (- (* c t) (* i y)))

rewrite25.0ms

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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x (- t)) a)
67.0ms	(* b (- (* c z) (* i a)))
23.0ms	(* x (* y z))
68.0ms	(* j (- (* c t) (* i y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	468	477
1	2081	407
2	5002	407

prune383.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	96	22	118

Merged error: 5.7b

Counts

118 → 22

localize23.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* x (- t)) a)
4.9b	(* (* x y) z)
5.0b	(* b (- (* c z) (* i a)))
5.7b	(* j (- (* c t) (* i y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l` `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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x (- t)) a)
23.0ms	(* (* x y) z)
67.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* j (- (* c t) (* i y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	475	478
1	2233	408
2	5003	408

prune292.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	95	24	119

Merged error: 5.7b

Counts

119 → 24

regimes1.3s

Accuracy

25.4% (4.9b remaining)

Error of 11.0b against oracle of 6.1b and baseline of 12.6b

bsearch79.0ms

Steps

Iters	Range		Point
5	-7.420999935280922e+27	-3.431686364638054e+27	-4.9381594717483803e+27

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	44
1	70	44
2	74	44
3	74	44

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s

18824×

body

valid