Details

sample91.0ms

Algorithm

intervals

Results

38.0ms	101×	body	1280	valid
16.0ms	69×	body	640	valid
14.0ms	283×	body	80	valid
5.0ms	31×	body	320	valid
2.0ms	15×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

3.0ms	(/ (sinh y) y)
8.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series240.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
90.0ms	(* (cos x) (/ (sinh y) y))
63.0ms	(sinh y)

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	339	443
1	1326	398
2	5001	396

prune181.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (* (sinh y) (/ 1 y)))
0.2b	(* (sinh y) (/ 1 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

0.0ms	(sinh y)
13.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
8.0ms	(* (sinh y) (/ 1 y))

series240.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
90.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
88.0ms	(* (sinh y) (/ 1 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	419	478
1	1627	394
2	5002	353

prune172.0ms

Filtered

87 candidates to 62 candidates (71.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.3b	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
0.3b	(pow (* (cos x) (/ (sinh y) y)) 3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r/` `associate-l*` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sinh-def` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 91

Calls

4 calls:

0.0ms	(sinh y)
8.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
4.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

series447.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sinh y)
90.0ms	(* (cos x) (/ (sinh y) y))
101.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
193.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	430	606
1	1989	569
2	5001	554

prune243.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

822.0ms	3092×	body	1280	valid
388.0ms	2400×	body	640	valid
311.0ms	8517×	body	80	valid
142.0ms	1234×	body	320	valid
45.0ms	583×	body	160	valid