Details

sample5.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

27.0ms	335×	body	80	invalid
20.0ms	256×	body	80	valid

simplify82.0ms

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

prune11.0ms

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: 13.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
5.0b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c t) (* i y)))
6.5b	(* b (- (* c z) (* i 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	(- (* c z) (* i a))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* i a))
18.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* b (- (* c z) (* i a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune252.0ms

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: 9.7b

Counts

97 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

5.9b	(* j (- (* c t) (* i y)))
8.7b	(cbrt (- (* c z) (* i a)))
8.7b	(cbrt (- (* c z) (* i a)))
8.7b	(cbrt (- (* c z) (* i a)))

rewrite18.0ms

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

series130.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (- (* c t) (* i y)))
36.0ms	(cbrt (- (* c z) (* i a)))
39.0ms	(cbrt (- (* c z) (* i a)))
37.0ms	(cbrt (- (* c z) (* i a)))

simplify103.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	311	602
1	1074	555
2	3853	543
3	5001	534

prune216.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	74	21	95

Merged error: 9.7b

Counts

95 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

6.5b	(* b (- (* c z) (* i a)))
7.1b	(cbrt (- (* c t) (* i y)))
7.1b	(cbrt (- (* c t) (* i y)))
7.1b	(cbrt (- (* c t) (* i y)))

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 (- (* c t) (* i y)))
3.0ms	(cbrt (- (* c t) (* i y)))
3.0ms	(cbrt (- (* c t) (* i y)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* b (- (* c z) (* i a)))
38.0ms	(cbrt (- (* c t) (* i y)))
36.0ms	(cbrt (- (* c t) (* i y)))
38.0ms	(cbrt (- (* c t) (* i y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	312	602
1	1067	555
2	3831	543
3	5001	534

prune245.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	1	18	19
Picked	1	0	1
Done	0	1	1
Total	72	24	96

Merged error: 9.7b

Counts

96 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (cbrt j) (- (* c t) (* i y)))
3.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.0b	(* x (- (* y z) (* t a)))
6.5b	(* b (- (* c z) (* i 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:

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

series130.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt j) (- (* c t) (* i y)))
24.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
18.0ms	(* x (- (* y z) (* t a)))
21.0ms	(* b (- (* c z) (* i a)))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	595	987
1	2490	787
2	5002	724

prune107.0ms

Filtered

71 candidates to 120 candidates (-69.0%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	6	16	22
Picked	1	0	1
Done	0	1	1
Total	120	24	144

Merged error: 7.7b

Counts

144 → 24

regimes2.3s

Accuracy

4.3% (5.5b remaining)

Error of 12.5b against oracle of 7.0b and baseline of 12.7b

bsearch192.0ms

Steps

Iters	Range		Point
9	2.611987798525529e-271	2.102382164227163e-265	3.755588195198061e-269
7	-7.955020535471877e-197	-7.684658744094607e-199	-1.4173872335803212e-198

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	63
1	72	63
2	79	63
3	79	63

end0.0ms

sample9.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

969.0ms	11221×	body	80	invalid
706.0ms	8000×	body	80	valid

Details

sample5.9s

simplify82.0ms

prune11.0ms

localize20.0ms

rewrite23.0ms

series65.0ms

simplify52.0ms

prune252.0ms

localize28.0ms

rewrite18.0ms

series130.0ms

simplify103.0ms

prune216.0ms

localize25.0ms

rewrite17.0ms

series130.0ms

simplify103.0ms

prune245.0ms

localize25.0ms

rewrite33.0ms

series130.0ms

simplify66.0ms

prune107.0ms

regimes2.3s

bsearch192.0ms

simplify3.0ms

end0.0ms

sample9.1s

Profiling