Details

sample267.0ms

Algorithm

intervals

Results

104.0ms	61×	body	2560	valid
78.0ms	72×	body	1280	valid
24.0ms	35×	body	640	valid
15.0ms	4×	body	5120	valid
10.0ms	60×	body	80	valid
10.0ms	17×	body	320	valid
3.0ms	7×	body	160	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.6b

localize25.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
34.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite36.0ms

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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
1.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series48.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
14.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
35.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

10.0ms	(* (+ (* a 2.0) 1.0) b)
7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
17.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series53.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* a 2.0) 1.0) b)
25.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
13.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	318	605
1	1500	470
2	5001	442

prune1.1s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune421.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3))
0.4b	(pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3)
1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
35.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`associate-*l/` `add-log-exp`
3×	`pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-l` `pow-exp` `*-commutative` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3))
1.0ms	(pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3)
16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series66.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3))
30.0ms	(pow (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)) 3)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
13.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	280	702
1	1254	638
2	5001	628

prune688.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 40.0b

regimes6.9s

Accuracy

0% (4.3b remaining)

Error of 44.4b against oracle of 40.1b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.7s	1854×	body	2560	valid
2.1s	2274×	body	1280	valid
743.0ms	1144×	body	640	valid
284.0ms	1881×	body	80	valid
258.0ms	552×	body	320	valid
105.0ms	36×	body	5120	valid
83.0ms	259×	body	160	valid