Details

sample76.0ms

Algorithm

intervals

Results

41.0ms

624×

body

valid

simplify75.0ms

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: 11.7b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
3.8b	(* b (- (* c z) (* t i)))
6.2b	(* j (- (* c a) (* y i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

14.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

563.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
65.0ms	(* b (- (* c z) (* t i)))
65.0ms	(* j (- (* c a) (* y i)))
63.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	961	1832
1	5001	1770

prune529.0ms

Filtered

119 candidates to 81 candidates (68.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	98	21	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	21	120

Merged error: 4.2b

Counts

120 → 21

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.8b	(* b (- (* c z) (* t i)))
6.2b	(* j (- (* c a) (* y i)))
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) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* y z) (* t a))
65.0ms	(* b (- (* c z) (* t i)))
72.0ms	(* j (- (* c a) (* y i)))
73.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune336.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	97	20	117

Merged error: 4.2b

Counts

117 → 20

localize25.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
2.3b	(* (cbrt b) (- (* c z) (* t i)))
6.2b	(* j (- (* c a) (* y i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

12.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
7.0ms	(* (cbrt b) (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
257.0ms	(* (cbrt b) (- (* c z) (* t i)))
64.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify80.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	575	966
1	2594	762
2	5002	699

prune453.0ms

Filtered

120 candidates to 75 candidates (62.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	18	19
Picked	0	1	1
Done	0	0	0
Total	119	21	140

Merged error: 4.0b

Counts

140 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.4b	(* (cbrt j) (- (* c a) (* y i)))
3.8b	(* b (- (* c z) (* t i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

14.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
7.0ms	(* (cbrt j) (- (* c a) (* y i)))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
293.0ms	(* (cbrt j) (- (* c a) (* y i)))
67.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* x (- (* y z) (* t a)))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	574	966
1	2600	762
2	5003	699

prune376.0ms

Filtered

120 candidates to 74 candidates (61.7%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	17	19
Picked	0	1	1
Done	0	1	1
Total	119	22	141

Merged error: 3.8b

Counts

141 → 22

regimes1.2s

Accuracy

49% (4.6b remaining)

Error of 8.3b against oracle of 3.7b and baseline of 12.8b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	55
1	65	55

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19058×

body

valid