Details

sample60.0ms

Algorithm

intervals

Results

23.0ms	49×	body	1280	valid
11.0ms	144×	body	80	valid
11.0ms	38×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify18.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize10.0ms

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)))
12.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite150.0ms

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:

61.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
24.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
60.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series151.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
35.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
67.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify58.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (50.0ms)

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

prune210.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

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:

58.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
14.0ms	(/ (sin (* 0.5 x)) (sin x))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
38.0ms	(/ (sin (* 0.5 x)) (sin x))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (56.0ms)

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

prune260.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

17.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
12.0ms	(/ (sin (* 0.5 x)) (sin x))
34.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
35.0ms	(/ (sin (* 0.5 x)) (sin x))
71.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	458	994
1	2409	812
2	5001	788

prune258.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.2b	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* x 0.5)))
12.0b	(/ (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* x 0.5))) (sin x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

17.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
34.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* x 0.5)))
35.0ms	(/ (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* x 0.5))) (sin x))

series154.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
48.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* x 0.5)))
70.0ms	(/ (* (/ (* 8.0 (sin (* x 0.5))) 3.0) (sin (* x 0.5))) (sin x))

simplify57.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	384	804
1	2066	601
2	5001	581

prune172.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	17	9
2	17	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

710.0ms	1479×	body	1280	valid
374.0ms	1273×	body	640	valid
253.0ms	4314×	body	80	valid
120.0ms	610×	body	320	valid
48.0ms	324×	body	160	valid