Details

sample78.0ms

Algorithm

intervals

Results

40.0ms

629×

body

valid

simplify79.0ms

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: 13.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* y z) (* t a))
4.4b	(* j (- (* c t) (* i y)))
5.6b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite26.0ms

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:

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

series239.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
68.0ms	(* j (- (* c t) (* i y)))
68.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune372.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	77	19	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	19	97

Merged error: 9.5b

Counts

97 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

5.6b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))
7.2b	(* x (- (* y z) (* t a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

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

series275.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* x (- (* y z) (* t a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify125.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	275	632
1	1140	552
2	4596	552
3	5001	552

prune443.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	107	20	127

Merged error: 9.5b

Counts

127 → 20

localize37.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(* b (- (* c z) (* i a)))
7.2b	(* x (- (* y z) (* t a)))
7.2b	(* x (- (* y z) (* t a)))

rewrite24.0ms

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`
8×	`associate-*r/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 83

Calls

4 calls:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* x (- (* y z) (* t a)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (* x (- (* y z) (* t a))))
68.0ms	(* b (- (* c z) (* i a)))
76.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* x (- (* y z) (* t a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	387	602
1	1474	531
2	5001	528

prune542.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	95	20	115

Merged error: 9.5b

Counts

115 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

5.6b	(* b (- (* c z) (* i a)))
8.4b	(cbrt (- (* y z) (* t a)))
8.4b	(cbrt (- (* y z) (* t a)))
8.4b	(cbrt (- (* y z) (* t a)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

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

series456.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* b (- (* c z) (* i a)))
125.0ms	(cbrt (- (* y z) (* t a)))
114.0ms	(cbrt (- (* y z) (* t a)))
131.0ms	(cbrt (- (* y z) (* t a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	312	590
1	1053	543
2	3722	525
3	5001	519

prune329.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	75	20	95

Merged error: 9.5b

Counts

95 → 20

regimes1.0s

Accuracy

0% (3.9b remaining)

Error of 12.3b against oracle of 8.4b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	32
1	45	32

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18700×

body

valid