Details

sample73.0ms

Algorithm

intervals

Results

24.0ms	45×	body	1280	valid
15.0ms	40×	body	640	valid
14.0ms	141×	body	80	valid
10.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	43	9
2	93	9
3	174	9
4	269	9
5	288	9
6	288	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
16.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

20.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
20.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series172.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
42.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
78.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify61.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	402	818
1	2097	614
2	5002	599

prune210.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
26.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (sin (* 0.5 x)) (sin x))
77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
35.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	463	970
1	2477	779
2	5002	764

prune273.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.2b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

3.0ms	(/ (sin (* 0.5 x)) 3.0)
4.0ms	(/ (sin (* 0.5 x)) (sin x))
21.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (sin (* 0.5 x)) 3.0)
36.0ms	(/ (sin (* 0.5 x)) (sin x))
76.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	426	934
1	2116	775
2	5001	753

prune429.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* 8.0 (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)))
0.3b	(/ (sin (* 0.5 x)) (cbrt 3.0))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

225×	`add-exp-log`
122×	`prod-exp`
91×	`add-cbrt-cube`
70×	`add-sqr-sqrt`
69×	`times-frac`
63×	`div-exp`
54×	`cbrt-unprod`
52×	`*-un-lft-identity`
49×	`add-cube-cbrt`
35×	`associate-r`
31×	`cbrt-undiv`
24×	`cbrt-prod`
15×	`pow1`
12×	`rec-exp` `1-exp`
10×	`associate-*r/`
9×	`associate-/r*` `unswap-sqr`
8×	`associate-l`
7×	`pow-prod-down`
6×	`frac-times` `associate-l/` `associate-/l`
5×	`div-inv`
4×	`add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`

Counts

4 → 216

Calls

4 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
296.0ms	(* (* 8.0 (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)))) (/ (sin (* 0.5 x)) (sin x)))
39.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)))
4.0ms	(/ (sin (* 0.5 x)) (cbrt 3.0))

series390.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (sin (* 0.5 x)) (sin x))
162.0ms	(* (* 8.0 (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)))) (/ (sin (* 0.5 x)) (sin x)))
111.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sin (* 0.5 x)) (cbrt 3.0)))
76.0ms	(/ (sin (* 0.5 x)) (cbrt 3.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1111	3118
1	5001	2526

prune508.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes44.0ms

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	14	9
1	14	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

822.0ms	1487×	body	1280	valid
461.0ms	1242×	body	640	valid
433.0ms	4343×	body	80	valid
170.0ms	633×	body	320	valid
54.0ms	295×	body	160	valid