Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	34×	body	1280	valid
8.0ms	27×	body	640	valid
8.0ms	155×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	17×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite12.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series724.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt y) (cbrt y))
173.0ms	(cbrt y)
183.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune229.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
8.6b	(/ (* x (sin y)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

3.0ms	(* x (sin y))
4.0ms	(/ (* x (sin y)) y)

series96.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (sin y))
53.0ms	(/ (* x (sin y)) y)

simplify28.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	158	203
1	805	172
2	5001	172

prune82.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (/ (* x (sin y)) y))
8.6b	(/ (* x (sin y)) y)
8.6b	(/ (* x (sin y)) y)
8.6b	(/ (* x (sin y)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`associate-/r*`
7×	`cbrt-prod`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`cbrt-div` `pow1/3`

Counts

4 → 87

Calls

4 calls:

2.0ms	(cbrt (/ (* x (sin y)) y))
4.0ms	(/ (* x (sin y)) y)
4.0ms	(/ (* x (sin y)) y)
4.0ms	(/ (* x (sin y)) y)

series303.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (/ (* x (sin y)) y))
53.0ms	(/ (* x (sin y)) y)
59.0ms	(/ (* x (sin y)) y)
58.0ms	(/ (* x (sin y)) y)

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	203	517
1	851	445
2	4438	437
3	5001	437

prune237.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes95.0ms

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

sample967.0ms

Algorithm

intervals

Results

255.0ms	951×	body	1280	valid
255.0ms	5193×	body	80	valid
194.0ms	1022×	body	640	valid
77.0ms	548×	body	320	valid
28.0ms	286×	body	160	valid