Details

sample216.0ms

Algorithm

intervals

Results

101.0ms	70×	body	2560	valid
55.0ms	72×	body	1280	valid
17.0ms	34×	body	640	valid
7.0ms	2×	body	5120	valid
6.0ms	18×	body	320	valid
6.0ms	54×	body	80	valid
1.0ms	6×	body	160	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	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: 48.0b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
6.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune407.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	55	19	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	19	75

Merged error: 42.8b

Counts

75 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`pow1` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r` `prod-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

6.0ms	(* (+ (* a 2.0) 1.0) b)
5.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* a 2.0) 1.0) b)
67.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	332	577
1	1300	472
2	5002	465

prune359.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	70	16	86
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	74	31	105

Merged error: 40.9b

Counts

105 → 31

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune107.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	30	30
Picked	1	1
Done	0	0
Total	31	31

Merged error: 40.9b

Counts

31 → 31

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.7b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
23×	`add-cbrt-cube`
14×	`pow1`
11×	`prod-exp`
9×	`cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `1-exp` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

9.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
5.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
12.0ms	(* (+ (* a 2.0) 1.0) (* b t))
3.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
63.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
43.0ms	(* (+ (* a 2.0) 1.0) (* b t))
33.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	422	671
1	1795	539
2	5003	538

prune221.0ms

Filtered

91 candidates to 68 candidates (74.7%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	79	12	91
Fresh	6	23	29
Picked	1	0	1
Done	0	1	1
Total	86	36	122

Merged error: 40.7b

Counts

122 → 36

regimes2.0s

Accuracy

0% (4.5b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1778×	body	2560	valid
1.4s	2292×	body	1280	valid
449.0ms	1154×	body	640	valid
163.0ms	1898×	body	80	valid
154.0ms	566×	body	320	valid
112.0ms	45×	body	5120	valid
52.0ms	267×	body	160	valid