Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	33×	body	1280	valid
6.0ms	160×	body	80	valid
5.0ms	30×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	11×	body	160	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)

series86.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

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

prune143.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)

series300.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log1p (/ (sin y) y))
156.0ms	(expm1 (log1p (/ (sin y) y)))
79.0ms	(* x (expm1 (log1p (/ (sin y) y))))
26.0ms	(/ (sin y) y)

simplify143.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (137.0ms)

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

prune212.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 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))

rewrite17.0ms

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))))
5.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
9.0ms	(* (sin y) (/ 1 y))

series299.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log1p (* (sin y) (/ 1 y)))
155.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
79.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
26.0ms	(* (sin y) (/ 1 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (36.0ms)

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

prune223.0ms

Filtered

92 candidates to 69 candidates (75.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (/ 1 y))
0.4b	(cbrt (* (sin y) (/ 1 y)))
0.4b	(cbrt (* (sin y) (/ 1 y)))
0.4b	(cbrt (* (sin y) (/ 1 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(* (sin y) (/ 1 y))
4.0ms	(cbrt (* (sin y) (/ 1 y)))
4.0ms	(cbrt (* (sin y) (/ 1 y)))
4.0ms	(cbrt (* (sin y) (/ 1 y)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (sin y) (/ 1 y))
137.0ms	(cbrt (* (sin y) (/ 1 y)))
130.0ms	(cbrt (* (sin y) (/ 1 y)))
135.0ms	(cbrt (* (sin y) (/ 1 y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	255	470
1	1000	403
2	5001	369

prune300.0ms

Filtered

89 candidates to 72 candidates (80.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes136.0ms

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

sample821.0ms

Algorithm

intervals

Results

240.0ms	951×	body	1280	valid
182.0ms	5210×	body	80	valid
151.0ms	981×	body	640	valid
65.0ms	543×	body	320	valid
24.0ms	315×	body	160	valid