Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	58×	body	1280	valid
13.0ms	344×	body	80	valid
9.0ms	53×	body	640	valid
3.0ms	28×	body	320	valid
2.0ms	25×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
13.9b	(/ (* (sin x) (sinh y)) x)

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` `sinh-def` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

5.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series178.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	263	280
1	1202	235
2	5001	218

prune109.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) x)
0.2b	(* (sin x) (/ (sinh y) x))

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

Counts

2 → 60

Calls

2 calls:

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

series170.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (sinh y) x)
94.0ms	(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	312	393
1	1238	350
2	5001	332

prune147.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ (sin x) (/ x (sinh y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r/` `div-inv`
4×	`sinh-def`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

1 → 74

Calls

1 calls:

7.0ms

(/ (sin x) (/ x (sinh y)))

series296.0ms

Counts

1 → 3

Calls

1 calls:

295.0ms

(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	422	741
1	1807	701
2	5002	693

prune202.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

7.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

series123.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (/ (sin x) x) (sinh y))
32.0ms	(/ (sin x) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	387
1	1188	344
2	5001	331

prune140.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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	11	5
1	11	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

511.0ms	1814×	body	1280	valid
413.0ms	10330×	body	80	valid
380.0ms	1991×	body	640	valid
137.0ms	1103×	body	320	valid
57.0ms	605×	body	160	valid