Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	45×	body	1280	valid
14.0ms	44×	body	640	valid
9.0ms	135×	body	80	valid
4.0ms	19×	body	320	valid
2.0ms	13×	body	160	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.8b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite60.0ms

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×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 85

Calls

3 calls:

21.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
16.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
20.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series188.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
87.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify69.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	412	862
1	2127	656
2	5001	637

prune263.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
0.2b	(/ (sin x) (sin (* 0.5 x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 116

Calls

3 calls:

11.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
4.0ms	(/ (sin x) (sin (* 0.5 x)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
44.0ms	(/ (sin x) (sin (* 0.5 x)))
45.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify82.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	550	1204
1	2727	1016
2	5001	992

prune374.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/r*`
13×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `associate-/r/` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

3.0ms	(/ (sin (* 0.5 x)) 3.0)
9.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))
4.0ms	(/ (sin x) (sin (* 0.5 x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin (* 0.5 x)) 3.0)
89.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))
50.0ms	(/ (sin x) (sin (* 0.5 x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	514	1168
1	2579	1010
2	5001	984

prune339.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.3b	(* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))
0.4b	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

3.0ms	(/ (sin (* 0.5 x)) 3.0)
22.0ms	(* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))
6.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))

series198.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin (* 0.5 x)) 3.0)
90.0ms	(* (/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x)) (sin (* 0.5 x)))
61.0ms	(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (sin x))

simplify71.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	406	847
1	1948	688
2	5001	672

prune242.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

793.0ms	1522×	body	1280	valid
415.0ms	1265×	body	640	valid
279.0ms	4244×	body	80	valid
138.0ms	629×	body	320	valid
52.0ms	340×	body	160	valid