Details

sample72.0ms

Algorithm

intervals

Results

23.0ms	362×	body	80	valid
16.0ms	46×	body	1280	valid
13.0ms	58×	body	640	valid
4.0ms	27×	body	320	valid
2.0ms	22×	body	160	valid

simplify45.0ms

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	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: 15.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.4b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series239.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
83.0ms	(* (sin x) (sinh y))
93.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune146.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 44

Calls

2 calls:

0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) x))

series156.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(sinh y)
93.0ms	(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	280	288
1	1152	252
2	5002	243

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.9b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

1.0ms	(sinh y)
2.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
104.0ms	(/ x (sinh y))
95.0ms	(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	488	956
1	2017	903
2	5001	882

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(/ 1 (/ (sinh y) x))
0.9b	(/ (sin x) (/ 1 (/ (sinh y) x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
230×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
33×	`add-exp-log`
22×	`div-inv`
21×	`div-exp`
17×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`sinh-def` `pow-flip` `inv-pow`

Counts

3 → 290

Calls

3 calls:

0.0ms	(sinh y)
5.0ms	(/ 1 (/ (sinh y) x))
13.0ms	(/ (sin x) (/ 1 (/ (sinh y) x)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
86.0ms	(/ 1 (/ (sinh y) x))
91.0ms	(/ (sin x) (/ 1 (/ (sinh y) x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1145	3210
1	5001	2839

prune604.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes100.0ms

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

sample2.2s

Algorithm

intervals

Results

633.0ms	1871×	body	1280	valid
570.0ms	10369×	body	80	valid
438.0ms	1942×	body	640	valid
176.0ms	1084×	body	320	valid
66.0ms	581×	body	160	valid