Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
12.0ms	38×	body	640	valid
9.0ms	135×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	16×	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: 14.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.6b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite155.0ms

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:

63.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
27.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
62.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
33.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
70.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

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

prune238.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite287.0ms

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

Counts

3 → 104

Calls

3 calls:

13.0ms	(/ (sin (* 0.5 x)) (sin x))
246.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (sin (* 0.5 x)) (sin x))
70.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	474	1006
1	2505	814
2	5001	799

prune322.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 100

Calls

3 calls:

18.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
12.0ms	(/ (sin (* 0.5 x)) (sin x))
35.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
34.0ms	(/ (sin (* 0.5 x)) (sin x))
69.0ms	(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	469	1030
1	2437	847
2	5001	823

prune287.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (* 8.0 (sin (* x 0.5))) (/ 1 3.0)) (/ (sin (* 0.5 x)) (sin x)))
0.4b	(* (* 8.0 (sin (* x 0.5))) (/ 1 3.0))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
54×	`prod-exp`
28×	`cbrt-unprod`
27×	`times-frac`
26×	`associate-r`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`div-exp`
17×	`pow1`
12×	`cbrt-undiv`
9×	`pow-prod-down`
6×	`rec-exp` `1-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r` `un-div-inv` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l` `associate-l/` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 129

Calls

3 calls:

14.0ms	(/ (sin (* 0.5 x)) (sin x))
105.0ms	(* (* (* 8.0 (sin (* x 0.5))) (/ 1 3.0)) (/ (sin (* 0.5 x)) (sin x)))
41.0ms	(* (* 8.0 (sin (* x 0.5))) (/ 1 3.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (sin (* 0.5 x)) (sin x))
70.0ms	(* (* (* 8.0 (sin (* x 0.5))) (/ 1 3.0)) (/ (sin (* 0.5 x)) (sin x)))
33.0ms	(* (* 8.0 (sin (* x 0.5))) (/ 1 3.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	650	1387
1	3620	1060
2	5001	997

prune303.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes34.0ms

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	15	9
1	17	9
2	17	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

764.0ms	1523×	body	1280	valid
408.0ms	1274×	body	640	valid
295.0ms	4262×	body	80	valid
142.0ms	615×	body	320	valid
49.0ms	326×	body	160	valid