Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

293×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	71	4
3	136	4
4	211	4
5	285	4
6	350	4
7	396	4
8	408	4
9	408	4

prune2.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `associate-l`
12×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`associate-*l/`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`*-commutative`
2×	`flip3--` `times-frac` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

2 → 59

Calls

2 calls:

10.0ms	(* (- x (/ 16.0 116.0)) 3.0)
13.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (- x (/ 16.0 116.0)) 3.0)
40.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify125.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	223	344
1	901	300
2	4514	300
3	5001	300

prune88.0ms

Filtered

65 candidates to 45 candidates (30.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) y)
0.3b	(* 3.0 (* (- x (/ 16.0 116.0)) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`associate-r`
15×	`associate-l`
12×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`unswap-sqr`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`*-commutative`
2×	`flip3--` `times-frac` `associate-*r/` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

2 → 59

Calls

2 calls:

9.0ms	(* (- x (/ 16.0 116.0)) y)
13.0ms	(* 3.0 (* (- x (/ 16.0 116.0)) y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- x (/ 16.0 116.0)) y)
43.0ms	(* 3.0 (* (- x (/ 16.0 116.0)) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	245	346
1	1081	302
2	5001	302

prune86.0ms

Filtered

65 candidates to 43 candidates (33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`associate-r`
9×	`associate-l`
7×	`*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-cube-cbrt`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `difference-of-squares`
1×	`flip3--` `times-frac` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

13.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify131.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	212	232
1	1001	202
2	4740	202
3	5002	202

prune52.0ms

Filtered

39 candidates to 25 candidates (35.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	39	6	45

Merged error: 0b

Counts

45 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) y)
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- x (/ 16.0 116.0)) y)))
0.4b	(* (cbrt 3.0) (* (- x (/ 16.0 116.0)) y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

238×	`add-sqr-sqrt`
138×	`unswap-sqr`
83×	`add-cbrt-cube`
82×	`cbrt-unprod`
75×	`associate-r`
74×	`cbrt-prod`
63×	`associate-l`
31×	`pow1` `add-exp-log` `*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`pow-prod-down` `prod-exp`
16×	`swap-sqr`
12×	`*-commutative`
6×	`associate-r/` `associate-l/` `difference-of-squares`
3×	`flip3--` `times-frac` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

3 → 215

Calls

3 calls:

9.0ms	(* (- x (/ 16.0 116.0)) y)
42.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- x (/ 16.0 116.0)) y)))
15.0ms	(* (cbrt 3.0) (* (- x (/ 16.0 116.0)) y))

series237.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (- x (/ 16.0 116.0)) y)
102.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- x (/ 16.0 116.0)) y)))
98.0ms	(* (cbrt 3.0) (* (- x (/ 16.0 116.0)) y))

simplify144.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	805	2798
1	4086	2213
2	5002	2116

prune293.0ms

Filtered

224 candidates to 123 candidates (45.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	224	6	230

Merged error: 0b

Counts

230 → 6

regimes99.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample347.0ms

Algorithm

intervals

Results

197.0ms

9076×

body

valid