Details

sample83.0ms

Algorithm

intervals

Results

44.0ms

651×

body

valid

simplify90.0ms

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 (100.0%)

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: 13.6b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.2b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* t i)))
7.9b	(* j (- (* c a) (* y i)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
33×	`associate-r`
25×	`associate-l`
19×	`unswap-sqr`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
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`
1×	`diff-log`

Counts

4 → 116

Calls

4 calls:

13.0ms	(- (* c a) (* y i))
21.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* b (- (* c z) (* t i)))
16.0ms	(* j (- (* c a) (* y i)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* c a) (* y i))
69.0ms	(* x (- (* y z) (* t a)))
74.0ms	(* b (- (* c z) (* t i)))
73.0ms	(* j (- (* c a) (* y i)))

simplify67.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	535	696
1	2109	629
2	5001	629

prune440.0ms

Filtered

128 candidates to 80 candidates (37.5%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	101	27	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	27	129

Merged error: 10.0b

Counts

129 → 27

localize22.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* t i)))
6.2b	(* j (- (* y i)))
6.2b	(* j (* c a))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

71×	`associate-r`
61×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
29×	`associate-l`
20×	`add-cube-cbrt`
17×	`unswap-sqr`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`*-commutative`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 139

Calls

4 calls:

16.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* j (- (* y i)))
8.0ms	(* j (* c a))

series206.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (- (* y z) (* t a)))
75.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* j (- (* y i)))
26.0ms	(* j (* c a))

simplify89.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	656	656
1	3069	591
2	5002	591

prune541.0ms

Filtered

151 candidates to 101 candidates (33.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	144	7	151
Fresh	9	17	26
Picked	1	0	1
Done	0	0	0
Total	154	24	178

Merged error: 6.5b

Counts

178 → 24

localize22.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (* y z) (* t a)))
5.1b	(* (* y j) (- i))
5.9b	(* b (- (* c z) (* t i)))
6.2b	(* j (* c a))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
50×	`associate-r`
35×	`associate-l`
34×	`*-un-lft-identity`
18×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `unswap-sqr`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
6×	`*-commutative`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 134

Calls

4 calls:

17.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* (* y j) (- i))
21.0ms	(* b (- (* c z) (* t i)))
8.0ms	(* j (* c a))

series204.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* (* y j) (- i))
74.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* j (* c a))

simplify97.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	668	662
1	3095	592
2	5001	592

prune528.0ms

Filtered

146 candidates to 96 candidates (34.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	130	16	146
Fresh	15	8	23
Picked	1	0	1
Done	0	0	0
Total	146	24	170

Merged error: 6.2b

Counts

170 → 24

localize23.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (* y z) (* t a)))
5.1b	(* (* y j) (- i))
5.9b	(* b (- (* c z) (* t i)))
6.0b	(* (* c j) a)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
44×	`associate-l`
41×	`associate-r`
34×	`*-un-lft-identity`
18×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `unswap-sqr`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
6×	`*-commutative`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 134

Calls

4 calls:

17.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* (* y j) (- i))
22.0ms	(* b (- (* c z) (* t i)))
8.0ms	(* (* c j) a)

series203.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* (* y j) (- i))
75.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* (* c j) a)

simplify89.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	660	660
1	2833	590
2	5001	590

prune426.0ms

Filtered

146 candidates to 100 candidates (31.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	131	15	146
Fresh	15	8	23
Picked	1	0	1
Done	0	0	0
Total	147	23	170

Merged error: 5.4b

Counts

170 → 23

regimes1.5s

Accuracy

-5.9% (7.1b remaining)

Error of 12.6b against oracle of 5.5b and baseline of 12.2b

bsearch448.0ms

Steps

Iters	Range		Point
5	3.577271229809339e-82	8.424111418310056e-82	3.6283701980148593e-82
10	2.8668315550558057e-149	4.086380338667811e-134	4.032218084222363e-134
8	-6.7880238657162965e-264	-2.1393518934825636e-268	-2.245429257773986e-268
8	-1.6221408300995997e-77	-2.1195949601963327e-80	-4.113215207499698e-78

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	86
1	148	86
2	161	86
3	161	86

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

19174×

body

valid