Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 58.032227%

Guaranteed chance to sample good point: 0.407213%

Results

30.0ms	373×	body	80	invalid
24.0ms	256×	body	80	valid

simplify80.0ms

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

prune6.0ms

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: 10.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
3.8b	(* x (- (* y z) (* t a)))
4.8b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite25.0ms

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:

7.0ms	(- (* c t) (* i y))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* j (- (* c t) (* i y)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c t) (* i y))
18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* i a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune237.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

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: 7.5b

Counts

97 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (sqrt b) (* (sqrt b) (- (* c z) (* i a))))
3.2b	(* (sqrt b) (- (* c z) (* i a)))
3.8b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

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

series99.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (sqrt b) (* (sqrt b) (- (* c z) (* i a))))
30.0ms	(* (sqrt b) (- (* c z) (* i a)))
18.0ms	(* x (- (* y z) (* t a)))
21.0ms	(* j (- (* c t) (* i y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	549	783
1	2416	682
2	5001	682

prune238.0ms

Filtered

72 candidates to 119 candidates (-65.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	115	23	138

Merged error: 7.5b

Counts

138 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (sqrt (sqrt b)) (* (sqrt b) (- (* c z) (* i a))))
3.2b	(* (sqrt b) (- (* c z) (* i a)))
3.8b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

10.0ms	(* (sqrt (sqrt b)) (* (sqrt b) (- (* c z) (* i a))))
6.0ms	(* (sqrt b) (- (* c z) (* i a)))
5.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* j (- (* c t) (* i y)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (sqrt (sqrt b)) (* (sqrt b) (- (* c z) (* i a))))
31.0ms	(* (sqrt b) (- (* c z) (* i a)))
18.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* j (- (* c t) (* i y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	585	940
1	2483	820
2	5002	816

prune256.0ms

Filtered

78 candidates to 122 candidates (-56.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	122	23	145

Merged error: 7.0b

Counts

145 → 23

localize31.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (sqrt (cbrt b)) (- (* c z) (* i a)))
1.8b	(* (sqrt (* (cbrt b) (cbrt b))) (* (sqrt (cbrt b)) (- (* c z) (* i a))))
3.8b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (sqrt (cbrt b)) (- (* c z) (* i a)))
13.0ms	(* (sqrt (* (cbrt b) (cbrt b))) (* (sqrt (cbrt b)) (- (* c z) (* i a))))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* j (- (* c t) (* i y)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (sqrt (cbrt b)) (- (* c z) (* i a)))
35.0ms	(* (sqrt (* (cbrt b) (cbrt b))) (* (sqrt (cbrt b)) (- (* c z) (* i a))))
18.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* j (- (* c t) (* i y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	587	1034
1	2409	916
2	5001	916

prune109.0ms

Filtered

79 candidates to 121 candidates (-53.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	121	23	144

Merged error: 7.0b

Counts

144 → 23

regimes2.1s

Accuracy

0% (5.0b remaining)

Error of 12.1b against oracle of 7.1b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	19
1	37	19

end0.0ms

sample5.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 58.032227%

Guaranteed chance to sample good point: 0.407213%

Results

905.0ms	10818×	body	80	invalid
671.0ms	8000×	body	80	valid

Details

sample2.8s

simplify80.0ms

prune6.0ms

localize20.0ms

rewrite25.0ms

series64.0ms

simplify51.0ms

prune237.0ms

localize22.0ms

rewrite29.0ms

series99.0ms

simplify65.0ms

prune238.0ms

localize24.0ms

rewrite31.0ms

series140.0ms

simplify69.0ms

prune256.0ms

localize31.0ms

rewrite35.0ms

series143.0ms

simplify65.0ms

prune109.0ms

regimes2.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.6s

Profiling