Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	63×	body	1280	valid
14.0ms	65×	body	640	valid
13.0ms	338×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	24×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
14.5b	(/ (* (sin x) (sinh y)) x)

rewrite27.0ms

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:

12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series164.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (sin x) (sinh y))
87.0ms	(/ (* (sin x) (sinh y)) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (32.0ms)

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

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sin x) (/ (sinh y) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

18.0ms

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

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	247	236
1	1081	204
2	5002	195

prune76.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ (sin x) (/ x (sinh y)))

rewrite18.0ms

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:

14.0ms

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

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (40.0ms)

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

prune192.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

21.0ms	(* (/ (sin x) x) (sinh y))
9.0ms	(/ (sin x) x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (/ (sin x) x) (sinh y))
26.0ms	(/ (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

prune153.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

498.0ms	1827×	body	1280	valid
408.0ms	10400×	body	80	valid
358.0ms	2026×	body	640	valid
131.0ms	1101×	body	320	valid
55.0ms	619×	body	160	valid