Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

288×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	73	4
3	151	4
4	241	4
5	326	4
6	397	4
7	457	4
8	477	4
9	480	4
10	480	4

prune2.0ms

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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.4b	(* (* (- 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×	`expm1-log1p-u` `flip3--` `times-frac` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

2 → 63

Calls

2 calls:

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

series80.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify113.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	235	362
1	936	318
2	4687	318
3	5001	318

prune134.0ms

Filtered

69 candidates to 49 candidates (71.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- x (/ 16.0 116.0)) y)
0.2b	(* 3.0 (* (- x (/ 16.0 116.0)) y))

rewrite26.0ms

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×	`expm1-log1p-u` `flip3--` `times-frac` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- x (/ 16.0 116.0)) y)
14.0ms	(* 3.0 (* (- x (/ 16.0 116.0)) y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- x (/ 16.0 116.0)) y)
39.0ms	(* 3.0 (* (- x (/ 16.0 116.0)) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	257	364
1	1122	320
2	5001	320

prune123.0ms

Filtered

69 candidates to 47 candidates (68.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0b

Counts

75 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
78×	`prod-diff`
75×	`*-un-lft-identity`
73×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
15×	`associate-l`
9×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `div-inv`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-r/` `-commutative` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

1 → 120

Calls

1 calls:

20.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify97.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	827	2331
1	3284	1741
2	5002	1575

prune102.0ms

Filtered

123 candidates to 36 candidates (29.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	3	0	3
Picked	1	0	1
Done	0	2	2
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (cbrt 3.0) y) (- x (/ 16.0 116.0)))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) y) (- x (/ 16.0 116.0))))
0.4b	(* (cbrt 3.0) y)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

409×	`add-sqr-sqrt`
234×	`*-un-lft-identity` `prod-diff`
230×	`add-cube-cbrt`
205×	`distribute-rgt-in` `distribute-lft-in`
164×	`times-frac`
117×	`unswap-sqr`
83×	`associate-l`
73×	`add-cbrt-cube`
68×	`cbrt-unprod`
63×	`cbrt-prod`
57×	`associate-r`
31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp`
18×	`div-inv`
14×	`swap-sqr`
11×	`*-commutative`
6×	`sub-neg` `associate-*r/`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `distribute-lft-out--`

Counts

3 → 452

Calls

3 calls:

22.0ms	(* (* (cbrt 3.0) y) (- x (/ 16.0 116.0)))
45.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) y) (- x (/ 16.0 116.0))))
5.0ms	(* (cbrt 3.0) y)

series243.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (* (cbrt 3.0) y) (- x (/ 16.0 116.0)))
105.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt 3.0) y) (- x (/ 16.0 116.0))))
49.0ms	(* (cbrt 3.0) y)

simplify136.0ms

Algorithm

egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2349	10554
1	5002	8767

prune583.0ms

Filtered

461 candidates to 174 candidates (37.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	460	1	461
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	462	4	466

Merged error: 0b

Counts

466 → 4

regimes91.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample338.0ms

Algorithm

intervals

Results

199.0ms

9035×

body

valid