Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
15.0ms	51×	body	640	valid
8.0ms	126×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify23.0ms

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: 15.6b

localize12.0ms

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)))
15.4b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite61.0ms

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:

26.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
11.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
20.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series197.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
90.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify67.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (57.0ms)

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

prune273.0ms

Pruning

11 alts after pruning (11 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)))
0.3b	(* (/ 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)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
45.0ms	(/ (sin x) (sin (* 0.5 x)))
47.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify79.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (65.0ms)

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

prune406.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite21.0ms

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)))

series180.0ms

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))))
51.0ms	(/ (sin x) (sin (* 0.5 x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (66.0ms)

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

prune359.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
8.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
24.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* 0.5 x)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
66.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
91.0ms	(* (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)) (sin (* 0.5 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	439	878
1	2078	701
2	5002	685

prune274.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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	13	9
1	13	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

718.0ms	1519×	body	1280	valid
386.0ms	1285×	body	640	valid
276.0ms	4288×	body	80	valid
123.0ms	607×	body	320	valid
47.0ms	301×	body	160	valid