Details

sample86.0ms

Algorithm

intervals

Results

29.0ms	92×	body	1280	valid
17.0ms	291×	body	80	valid
17.0ms	88×	body	640	valid
6.0ms	46×	body	320	valid
2.0ms	23×	body	160	valid

simplify48.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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)
1.0ms	(sinh y)
9.0ms	(* (sin x) (/ (sinh y) y))

series252.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
57.0ms	(sinh y)
108.0ms	(* (sin x) (/ (sinh y) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397

prune177.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ y (sinh y)))
0.0b	(sinh y)
0.0b	(* (sin x) (/ 1 (/ y (sinh y))))
0.0b	(/ y (sinh y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

6.0ms	(/ 1 (/ y (sinh y)))
1.0ms	(sinh y)
25.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
2.0ms	(/ y (sinh y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ 1 (/ y (sinh y)))
63.0ms	(sinh y)
101.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
95.0ms	(/ y (sinh y))

simplify85.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	727	1455
1	3498	1254
2	5001	1109

prune416.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (sqrt (/ 1 (/ y (sinh y)))))
0.0b	(/ y (sinh y))
0.0b	(/ y (sinh y))
0.0b	(* (* (sin x) (sqrt (/ 1 (/ y (sinh y))))) (sqrt (/ 1 (/ y (sinh y)))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
111×	`add-sqr-sqrt`
100×	`associate-r`
99×	`sqrt-prod`
97×	`*-un-lft-identity`
95×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`associate-/r/` `div-inv`
8×	`sinh-def`
6×	`associate-/r` `associate-/l` `unswap-sqr`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 203

Calls

4 calls:

32.0ms	(* (sin x) (sqrt (/ 1 (/ y (sinh y)))))
2.0ms	(/ y (sinh y))
2.0ms	(/ y (sinh y))
61.0ms	(* (* (sin x) (sqrt (/ 1 (/ y (sinh y))))) (sqrt (/ 1 (/ y (sinh y)))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (sin x) (sqrt (/ 1 (/ y (sinh y)))))
92.0ms	(/ y (sinh y))
93.0ms	(/ y (sinh y))
129.0ms	(* (* (sin x) (sqrt (/ 1 (/ y (sinh y))))) (sqrt (/ 1 (/ y (sinh y)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1279	2269
1	5002	2024

prune741.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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	11	5
1	11	5

end0.0ms

sample2.7s

Algorithm

intervals

Results

947.0ms	3005×	body	1280	valid
519.0ms	2556×	body	640	valid
504.0ms	8716×	body	80	valid
368.0ms	1198×	body	320	valid
65.0ms	635×	body	160	valid