Details

sample6.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0.438596%

Space saved by search: 0.438596%

Guaranteed chance to sample good point: 0%

Results

37.0ms	362×	body	80	invalid
21.0ms	256×	body	80	valid

simplify79.0ms

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: 10.0b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c a) (* y i))
3.7b	(* x (- (* y z) (* t a)))
4.1b	(* b (- (* c z) (* t i)))
4.7b	(* j (- (* c a) (* y i)))

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:

3.0ms	(- (* c a) (* y i))
9.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c a) (* y i))
18.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* j (- (* c a) (* y i)))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune237.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 7.4b

Counts

97 → 20

localize26.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c a) (* y i)))
5.8b	(cbrt (* j (- (* c a) (* y i))))
5.8b	(cbrt (* j (- (* c a) (* y i))))
5.8b	(cbrt (* j (- (* c a) (* y i))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

6.0ms	(* j (- (* c a) (* y i)))
4.0ms	(cbrt (* j (- (* c a) (* y i))))
4.0ms	(cbrt (* j (- (* c a) (* y i))))
4.0ms	(cbrt (* j (- (* c a) (* y i))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (- (* c a) (* y i)))
43.0ms	(cbrt (* j (- (* c a) (* y i))))
40.0ms	(cbrt (* j (- (* c a) (* y i))))
43.0ms	(cbrt (* j (- (* c a) (* y i))))

simplify100.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	253	554
1	927	501
2	3676	492
3	5001	480

prune222.0ms

Filtered

56 candidates to 69 candidates (-23.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	68	21	89

Merged error: 7.4b

Counts

89 → 21

localize29.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c a) (* y i)))
5.6b	(cbrt (- (* c a) (* y i)))
5.8b	(cbrt (* j (- (* c a) (* y i))))
5.8b	(cbrt (* j (- (* c a) (* y i))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

6.0ms	(* j (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))
4.0ms	(cbrt (* j (- (* c a) (* y i))))
4.0ms	(cbrt (* j (- (* c a) (* y i))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (- (* c a) (* y i)))
37.0ms	(cbrt (- (* c a) (* y i)))
40.0ms	(cbrt (* j (- (* c a) (* y i))))
42.0ms	(cbrt (* j (- (* c a) (* y i))))

simplify102.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	326	570
1	1116	519
2	4297	509
3	5001	503

prune223.0ms

Filtered

57 candidates to 71 candidates (-24.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	69	23	92

Merged error: 7.4b

Counts

92 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c a) (* y i)))
5.1b	(cbrt (- (* y z) (* t a)))
5.1b	(cbrt (- (* y z) (* t a)))
5.1b	(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:

5.0ms	(* j (- (* c a) (* y i)))
3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (- (* c a) (* y i)))
35.0ms	(cbrt (- (* y z) (* t a)))
35.0ms	(cbrt (- (* y z) (* t a)))
38.0ms	(cbrt (- (* y z) (* t a)))

simplify98.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	310	602
1	1073	555
2	3852	543
3	5001	534

prune83.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	21	21
Picked	1	0	1
Done	0	1	1
Total	75	23	98

Merged error: 7.4b

Counts

98 → 23

regimes2.1s

Accuracy

0% (4.0b remaining)

Error of 12.7b against oracle of 8.7b and baseline of 12.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	28
1	41	28

end0.0ms

sample8.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0.438596%

Space saved by search: 0.438596%

Guaranteed chance to sample good point: 0%

Results

944.0ms	10936×	body	80	invalid
695.0ms	8000×	body	80	valid

Details

sample6.2s

simplify79.0ms

prune6.0ms

localize19.0ms

rewrite25.0ms

series63.0ms

simplify54.0ms

prune237.0ms

localize26.0ms

rewrite20.0ms

series144.0ms

simplify100.0ms

prune222.0ms

localize29.0ms

rewrite19.0ms

series137.0ms

simplify102.0ms

prune223.0ms

localize24.0ms

rewrite17.0ms

series128.0ms

simplify98.0ms

prune83.0ms

regimes2.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.7s

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