Details

sample67.0ms

Algorithm

intervals

Results

25.0ms	86×	body	1280	valid
12.0ms	67×	body	640	valid
11.0ms	276×	body	80	valid
4.0ms	33×	body	320	valid
1.0ms	16×	body	160	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (cosh x) (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune164.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 184

Calls

3 calls:

21.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	628	1345
1	3020	1171
2	5002	1048

prune381.0ms

Filtered

193 candidates to 121 candidates (62.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ (cosh x) (/ y (sin y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 102

Calls

2 calls:

2.0ms	(/ y (sin y))
6.0ms	(/ (cosh x) (/ y (sin y)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ y (sin y))
77.0ms	(/ (cosh x) (/ y (sin y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	420	861
1	1734	812
2	5001	811

prune276.0ms

Filtered

108 candidates to 88 candidates (81.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (/ 1 y) (sin y)))
0.3b	(* (/ 1 y) (sin y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

17.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
9.0ms	(* (/ 1 y) (sin y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
24.0ms	(* (/ 1 y) (sin y))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	325	408
1	1302	325
2	5001	300

prune128.0ms

Filtered

70 candidates to 48 candidates (68.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

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	7	4
1	7	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	3030×	body	1280	valid
434.0ms	2401×	body	640	valid
363.0ms	8585×	body	80	valid
151.0ms	1222×	body	320	valid
52.0ms	600×	body	160	valid