Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	39×	body	1280	valid
6.0ms	40×	body	640	valid
5.0ms	155×	body	80	valid
1.0ms	13×	body	160	valid
1.0ms	9×	body	320	valid

simplify7.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

15.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

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

prune127.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))

rewrite43.0ms

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:

29.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series575.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
140.0ms	(cbrt (/ (sin y) y))
134.0ms	(cbrt (/ (sin y) y))
128.0ms	(cbrt (/ (sin y) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (32.0ms)

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

prune444.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.6b	(cbrt y)
0.6b	(cbrt (sin y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

3.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt y)
2.0ms	(cbrt (sin y))

series537.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (/ (sin y) y))
133.0ms	(cbrt (/ (sin y) y))
176.0ms	(cbrt y)
101.0ms	(cbrt (sin y))

simplify67.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	202	460
1	543	438
2	2277	422
3	5001	406

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.6b	(cbrt y)
0.6b	(cbrt (sin y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt y)
1.0ms	(cbrt (sin y))

series549.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (/ (sin y) y))
142.0ms	(cbrt (/ (sin y) y))
178.0ms	(cbrt y)
97.0ms	(cbrt (sin y))

simplify68.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	202	460
1	543	438
2	2277	422
3	5001	406

prune284.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes104.0ms

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

sample896.0ms

Algorithm

intervals

Results

235.0ms	946×	body	1280	valid
199.0ms	5130×	body	80	valid
160.0ms	1013×	body	640	valid
64.0ms	585×	body	320	valid
25.0ms	326×	body	160	valid