Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	33×	body	1280	valid
10.0ms	176×	body	80	valid
6.0ms	33×	body	640	valid
1.0ms	11×	body	320	valid
0.0ms	3×	body	160	valid

simplify8.0ms

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)

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` `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:

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

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

prune139.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

0.0ms	(log1p (/ (sin y) y))
0.0ms	(expm1 (log1p (/ (sin y) y)))
3.0ms	(* x (expm1 (log1p (/ (sin y) y))))
3.0ms	(/ (sin y) y)

series305.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(log1p (/ (sin y) y))
156.0ms	(expm1 (log1p (/ (sin y) y)))
81.0ms	(* x (expm1 (log1p (/ (sin y) y))))
25.0ms	(/ (sin y) y)

simplify143.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	232	418
1	864	368
2	4325	365
3	5002	363

prune204.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (sin y) (/ 1 y)))
0.0b	(expm1 (log1p (* (sin y) (/ 1 y))))
0.1b	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
0.3b	(* (sin y) (/ 1 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-exp-log` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
5×	`expm1-log1p-u` `prod-exp`
4×	`log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `1-exp` `log1p-expm1` `associate-*r/` `un-div-inv` `div-inv` `expm1-udef`

Counts

4 → 80

Calls

4 calls:

0.0ms	(log1p (* (sin y) (/ 1 y)))
0.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
3.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
9.0ms	(* (sin y) (/ 1 y))

series302.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log1p (* (sin y) (/ 1 y)))
157.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
81.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
25.0ms	(* (sin y) (/ 1 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	326	506
1	1457	429
2	5001	407

prune216.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
37×	`add-sqr-sqrt` `times-frac`
33×	`add-cube-cbrt` `*-un-lft-identity`
23×	`pow1`
16×	`associate-r`
15×	`cbrt-div`
12×	`pow1/3`
9×	`add-exp-log` `pow-prod-up`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*r/` `prod-exp` `pow-sqr` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 127

Calls

4 calls:

29.0ms	(* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))
1.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series640.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))
128.0ms	(cbrt (/ (sin y) y))
136.0ms	(cbrt (/ (sin y) y))
133.0ms	(cbrt (/ (sin y) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	310	1144
1	1054	1030
2	5001	949

prune413.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

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	8	5
1	8	5

end0.0ms

sample1.0s

Algorithm

intervals

Results

312.0ms	5317×	body	80	valid
266.0ms	921×	body	1280	valid
174.0ms	923×	body	640	valid
78.0ms	535×	body	320	valid
31.0ms	304×	body	160	valid