Details

sample74.0ms

Algorithm

intervals

Results

37.0ms

527×

body

valid

simplify167.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune13.0ms

Filtered

1 candidates to 1 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: 6.8b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.5b	(* (* x 18.0) y)
3.9b	(* (* (* x 18.0) y) z)
4.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

86×	`associate-l`
84×	`add-sqr-sqrt`
40×	`associate-r`
36×	`*-un-lft-identity`
35×	`unswap-sqr`
25×	`pow1` `add-exp-log` `add-cbrt-cube`
20×	`add-cube-cbrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 147

Calls

4 calls:

7.0ms	(* (* j 27.0) k)
7.0ms	(* (* x 18.0) y)
12.0ms	(* (* (* x 18.0) y) z)
39.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
27.0ms	(* (* (* x 18.0) y) z)
124.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	588	744
1	2630	665
2	5001	665

prune515.0ms

Filtered

159 candidates to 104 candidates (34.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	146	13	159
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	148	13	161

Merged error: 2.5b

Counts

161 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(* (* x 18.0) (* (cbrt y) (cbrt y)))
2.0b	(* (* (* x 18.0) (* (cbrt y) (cbrt y))) (* (cbrt y) z))
4.4b	(* t (- (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (* (cbrt y) z)) (* a 4.0)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

1115×	`add-sqr-sqrt`
741×	`unswap-sqr`
228×	`cbrt-prod`
218×	`associate-r`
153×	`add-cbrt-cube`
148×	`cbrt-unprod`
129×	`associate-l`
116×	`difference-of-squares`
59×	`pow1` `add-exp-log`
56×	`swap-sqr`
52×	`*-un-lft-identity`
40×	`pow-prod-down` `prod-exp`
36×	`add-cube-cbrt`
31×	`*-commutative`
8×	`distribute-lft-out--`
4×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 438

Calls

4 calls:

1.0ms	(cbrt y)
21.0ms	(* (* x 18.0) (* (cbrt y) (cbrt y)))
48.0ms	(* (* (* x 18.0) (* (cbrt y) (cbrt y))) (* (cbrt y) z))
142.0ms	(* t (- (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (* (cbrt y) z)) (* a 4.0)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt y)
111.0ms	(* (* x 18.0) (* (cbrt y) (cbrt y)))
58.0ms	(* (* (* x 18.0) (* (cbrt y) (cbrt y))) (* (cbrt y) z))
166.0ms	(* t (- (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (* (cbrt y) z)) (* a 4.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

450 → 450

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1859	5691
1	5002	5062

prune1.7s

Filtered

450 candidates to 283 candidates (37.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	447	3	450
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	450	13	463

Merged error: 1.8b

Counts

463 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* j 1) (* 27.0 k))
0.5b	(* (* x 18.0) y)
3.9b	(* (* (* x 18.0) y) z)
4.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
90×	`associate-l`
52×	`associate-r`
47×	`unswap-sqr`
41×	`*-un-lft-identity`
37×	`add-exp-log`
32×	`pow1` `add-cbrt-cube`
23×	`prod-exp`
22×	`add-cube-cbrt`
18×	`pow-prod-down` `cbrt-unprod`
9×	`*-commutative`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `1-exp` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 169

Calls

4 calls:

13.0ms	(* (* j 1) (* 27.0 k))
8.0ms	(* (* x 18.0) y)
13.0ms	(* (* (* x 18.0) y) z)
36.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* j 1) (* 27.0 k))
25.0ms	(* (* x 18.0) y)
27.0ms	(* (* (* x 18.0) y) z)
120.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	735	865
1	3163	759
2	5002	757

prune845.0ms

Filtered

181 candidates to 112 candidates (38.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	6	5	11
Picked	1	0	1
Done	0	1	1
Total	182	12	194

Merged error: 1.8b

Counts

194 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x y))
0.4b	(* (* j 1) (* 27.0 k))
3.9b	(* (* 18.0 (* x y)) z)
4.4b	(* t (- (* (* 18.0 (* x y)) z) (* a 4.0)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
68×	`associate-r`
65×	`associate-l`
47×	`unswap-sqr`
37×	`add-exp-log` `*-un-lft-identity`
32×	`pow1` `add-cbrt-cube`
23×	`prod-exp`
22×	`add-cube-cbrt`
18×	`pow-prod-down` `cbrt-unprod`
9×	`*-commutative`
8×	`difference-of-squares`
6×	`distribute-lft-out--`
4×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `1-exp` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 167

Calls

4 calls:

8.0ms	(* 18.0 (* x y))
12.0ms	(* (* j 1) (* 27.0 k))
14.0ms	(* (* 18.0 (* x y)) z)
36.0ms	(* t (- (* (* 18.0 (* x y)) z) (* a 4.0)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 18.0 (* x y))
17.0ms	(* (* j 1) (* 27.0 k))
29.0ms	(* (* 18.0 (* x y)) z)
117.0ms	(* t (- (* (* 18.0 (* x y)) z) (* a 4.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	742	857
1	3231	755
2	5001	753

prune483.0ms

Filtered

179 candidates to 111 candidates (38.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	180	11	191

Merged error: 1.8b

Counts

191 → 11

regimes1.1s

Accuracy

30.9% (2.4b remaining)

Error of 4.1b against oracle of 1.7b and baseline of 5.2b

bsearch215.0ms

Steps

Iters	Range		Point
7	7.779413732419923e-210	1.5062697304409912e-208	1.2952736843732497e-208
8	-5.862473027165697e-168	-5.044255503781407e-172	-1.4497127224801e-170

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	30
1	69	30
2	72	30
3	72	30

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16176×

body

valid