Details

sample72.0ms

Algorithm

intervals

Results

21.0ms	76×	body	1280	valid
17.0ms	335×	body	80	valid
13.0ms	70×	body	640	valid
6.0ms	46×	body	320	valid
1.0ms	15×	body	160	valid

simplify45.0ms

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	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
10.7b	(/ (* (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` `expm1-log1p-u` `sinh-def` `associate-*r/` `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/` `associate-/l` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series176.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (sin x) (sinh y))
92.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	298
1	1234	252
2	5001	234

prune308.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) x)
0.1b	(* (sin x) (/ (sinh y) x))

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×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

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

series168.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (sinh y) x)
96.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	322	408
1	1272	363
2	5001	361

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (sinh y))
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`sinh-def`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 106

Calls

2 calls:

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

series197.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(/ x (sinh y))
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	465	914
1	1976	864
2	5001	843

prune262.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.2b	(/ (/ x (sinh y)) (sin x))
0.8b	(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

501×	`times-frac`
245×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`associate-/r*`
31×	`add-exp-log`
23×	`div-inv`
20×	`associate-/l*`
19×	`div-exp` `add-cbrt-cube`
18×	`associate-/r/`
17×	`sinh-def`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 320

Calls

3 calls:

3.0ms	(/ x (sinh y))
6.0ms	(/ (/ x (sinh y)) (sin x))
13.0ms	(/ 1 (/ (/ x (sinh y)) (sin x)))

series368.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ x (sinh y))
169.0ms	(/ (/ x (sinh y)) (sin x))
92.0ms	(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1221	3668
1	5002	3293

prune741.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

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

537.0ms	1846×	body	1280	valid
424.0ms	10329×	body	80	valid
382.0ms	1958×	body	640	valid
145.0ms	1155×	body	320	valid
60.0ms	622×	body	160	valid