Details

sample83.0ms

Algorithm

intervals

Results

46.0ms

588×

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 (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: 13.9b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.4b	(* j (- (* c t) (* i y)))
5.8b	(* b (- (* c z) (* i a)))
6.8b	(* x (- (* y z) (* t a)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
34×	`associate-r/` `associate-l*`
33×	`associate-r`
20×	`distribute-lft-out--`
19×	`flip3--` `flip--`
15×	`unswap-sqr`
13×	`sub-neg`
12×	`distribute-rgt-in` `distribute-lft-in` `frac-add` `difference-of-squares`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out`
9×	`add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
5×	`associate-+l-`
4×	`associate-+r+` `associate--l+` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`sum-log`
1×	`+-commutative` `flip3-+` `diff-log` `flip-+`

Counts

4 → 145

Calls

4 calls:

89.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
21.0ms	(* j (- (* c t) (* i y)))
19.0ms	(* b (- (* c z) (* i a)))
21.0ms	(* x (- (* y z) (* t a)))

series869.0ms

Counts

4 → 12

Calls

4 calls:

642.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
71.0ms	(* j (- (* c t) (* i y)))
77.0ms	(* b (- (* c z) (* i a)))
79.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1054	2088
1	5002	2030

prune570.0ms

Filtered

157 candidates to 98 candidates (62.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	130	27	157
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	27	158

Merged error: 7.3b

Counts

158 → 27

localize24.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (cbrt x) (- (* y z) (* t a)))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
5.8b	(* b (- (* c z) (* i a)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-sqr-sqrt`
83×	`unswap-sqr`
74×	`associate-r`
67×	`associate-l`
56×	`*-un-lft-identity`
51×	`cbrt-prod`
46×	`add-cbrt-cube`
41×	`cbrt-unprod`
24×	`add-cube-cbrt`
22×	`pow1` `add-exp-log`
16×	`distribute-lft-out--` `difference-of-squares`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`swap-sqr`
11×	`pow-prod-down` `prod-exp`
10×	`sub-neg` `associate-*r/`
9×	`*-commutative`
4×	`flip3--` `flip--` `add-log-exp`

Counts

4 → 220

Calls

4 calls:

18.0ms	(* (cbrt x) (- (* y z) (* t a)))
17.0ms	(* j (- (* c t) (* i y)))
44.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
18.0ms	(* b (- (* c z) (* i a)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt x) (- (* y z) (* t a)))
70.0ms	(* j (- (* c t) (* i y)))
114.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
70.0ms	(* b (- (* c z) (* i a)))

simplify145.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	980	2341
1	4730	1847
2	5001	1737

prune778.0ms

Filtered

232 candidates to 132 candidates (56.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	228	4	232
Fresh	3	23	26
Picked	1	0	1
Done	0	0	0
Total	232	27	259

Merged error: 5.6b

Counts

259 → 27

localize23.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
5.3b	(* x (* z y))
5.6b	(* a (* x t))
5.8b	(* b (- (* c z) (* i a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`associate-r`
32×	`*-un-lft-identity`
26×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube` `unswap-sqr`
16×	`add-cube-cbrt`
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`
2×	`flip3--` `flip--`

Counts

4 → 126

Calls

4 calls:

21.0ms	(* j (- (* c t) (* i y)))
8.0ms	(* x (* z y))
8.0ms	(* a (* x t))
18.0ms	(* b (- (* c z) (* i a)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* x (* z y))
31.0ms	(* a (* x t))
72.0ms	(* b (- (* c z) (* i a)))

simplify74.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	602	604
1	2750	534
2	5001	534

prune523.0ms

Filtered

138 candidates to 89 candidates (64.5%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	122	16	138
Fresh	14	12	26
Picked	1	0	1
Done	0	0	0
Total	137	28	165

Merged error: 3.4b

Counts

165 → 28

localize25.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* z x) y)
4.4b	(* j (- (* c t) (* i y)))
5.6b	(* a (* x t))
5.8b	(* b (- (* c z) (* i a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
43×	`associate-r`
35×	`associate-l`
32×	`*-un-lft-identity`
18×	`pow1` `add-exp-log` `add-cbrt-cube` `unswap-sqr`
16×	`add-cube-cbrt`
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`
2×	`flip3--` `flip--`

Counts

4 → 126

Calls

4 calls:

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

series215.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* z x) y)
79.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* a (* x t))
78.0ms	(* b (- (* c z) (* i a)))

simplify75.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	597	602
1	2658	532
2	5002	532

prune413.0ms

Filtered

138 candidates to 92 candidates (66.7%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	123	15	138
Fresh	16	11	27
Picked	1	0	1
Done	0	0	0
Total	140	26	166

Merged error: 3.2b

Counts

166 → 26

regimes1.9s

Accuracy

28.5% (5.1b remaining)

Error of 9.9b against oracle of 4.8b and baseline of 12.0b

bsearch274.0ms

Steps

Iters	Range		Point
10	2.437348186430987e+119	4.009321785674179e+130	3.5841886422701694e+129
8	-2.9104233335151466e+42	-9.227355858102438e+39	-1.6621707237004414e+40

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	45
1	75	45
2	75	45

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

19492×

body

valid