Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	176×	body	80	valid
10.0ms	33×	body	640	valid
10.0ms	33×	body	1280	valid
2.0ms	11×	body	320	valid
0.0ms	3×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series94.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune140.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

19.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series642.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
153.0ms	(cbrt (/ (sin y) y))
144.0ms	(cbrt (/ (sin y) y))
152.0ms	(cbrt (/ (sin y) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	1415
1	990	1364
2	5001	1289

prune483.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series631.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (/ (sin y) y))
150.0ms	(cbrt (/ (sin y) y))
162.0ms	(cbrt (/ (sin y) y))
159.0ms	(cbrt (/ (sin y) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	133	728
1	298	700
2	1004	676
3	5002	660

prune392.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (/ (* (cbrt (sin y)) (cbrt (sin y))) 1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`times-frac`
1×	`cbrt-div` `div-inv`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (/ (* (cbrt (sin y)) (cbrt (sin y))) 1))

series659.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))
312.0ms	(cbrt (sin y))
128.0ms	(cbrt (/ (* (cbrt (sin y)) (cbrt (sin y))) 1))

simplify58.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	132	367
1	324	336
2	1334	321
3	5001	309

prune221.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample999.0ms

Algorithm

intervals

Results

292.0ms	5317×	body	80	valid
268.0ms	921×	body	1280	valid
179.0ms	923×	body	640	valid
73.0ms	535×	body	320	valid
30.0ms	304×	body	160	valid