Details

sample56.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
11.0ms	38×	body	640	valid
8.0ms	135×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	16×	body	160	valid

simplify21.0ms

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: 14.8b

localize15.0ms

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))

rewrite153.0ms

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:

63.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
26.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
62.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
35.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
78.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify59.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (51.0ms)

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

prune213.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)))

rewrite102.0ms

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:

13.0ms	(/ (sin (* 0.5 x)) (sin x))
61.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
26.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin (* 0.5 x)) (sin x))
77.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
39.0ms	(* (/ 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

prune267.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:

14.0ms	(/ (sin (* 0.5 x)) 3.0)
13.0ms	(/ (sin (* 0.5 x)) (sin x))
35.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (sin (* 0.5 x)) 3.0)
38.0ms	(/ (sin (* 0.5 x)) (sin x))
77.0ms	(* (* 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 (50.0ms)

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

prune227.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(* (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))))
0.4b	(* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5)))
1.0b	(/ (cbrt 8.0) (cbrt 3.0))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

268×	`add-exp-log`
162×	`add-cbrt-cube`
145×	`prod-exp` `cbrt-unprod`
86×	`times-frac`
82×	`cbrt-prod`
80×	`add-sqr-sqrt`
69×	`cbrt-undiv` `div-exp`
66×	`add-cube-cbrt` `*-un-lft-identity`
46×	`associate-l`
20×	`pow1`
17×	`associate-r`
13×	`associate-*l/`
10×	`pow-prod-down`
6×	`frac-times` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`associate-*r/` `div-inv` `add-log-exp`
3×	`*-commutative`
1×	`frac-2neg` `clear-num`

Counts

4 → 267

Calls

4 calls:

307.0ms	(* (* (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
104.0ms	(* (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))))
35.0ms	(* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5)))
7.0ms	(/ (cbrt 8.0) (cbrt 3.0))

series575.0ms

Counts

4 → 10

Calls

4 calls:

225.0ms	(* (* (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
220.0ms	(* (/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5))))
129.0ms	(* (/ (cbrt 8.0) (cbrt 3.0)) (sin (* x 0.5)))
0.0ms	(/ (cbrt 8.0) (cbrt 3.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1141	4853
1	5002	3340

prune786.0ms

Pruning

9 alts after pruning (6 fresh and 3 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	14	9
1	14	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

717.0ms	1523×	body	1280	valid
404.0ms	1274×	body	640	valid
247.0ms	4262×	body	80	valid
134.0ms	615×	body	320	valid
45.0ms	326×	body	160	valid