Details

sample79.0ms

Algorithm

intervals

Results

27.0ms	97×	body	1280	valid
15.0ms	84×	body	640	valid
14.0ms	271×	body	80	valid
5.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

1.0ms	(sinh y)
18.0ms	(* (sin x) (/ (sinh y) y))

series173.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(sinh y)
107.0ms	(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	277	275
1	1155	241
2	5002	232

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`add-sqr-sqrt` `sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 84

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
24.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
46.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sinh y)
64.0ms	(sinh y)
196.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
132.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify128.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	847	1030
1	4252	898
2	5002	890

prune322.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
0.0b	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.1b	(* 1/120 (pow y 5))
0.2b	(* 1/6 (pow y 3))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`associate-r`
19×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`associate-l` `add-log-exp` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`sum-log` `*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `associate-*r/` `div-exp` `pow-prod-down` `flip-+` `div-inv`

Counts

4 → 101

Calls

4 calls:

25.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
89.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
12.0ms	(* 1/120 (pow y 5))
13.0ms	(* 1/6 (pow y 3))

series371.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
221.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
49.0ms	(* 1/120 (pow y 5))
43.0ms	(* 1/6 (pow y 3))

simplify84.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	500	789
1	2615	706
2	5001	706

prune318.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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

sample2.3s

Algorithm

intervals

Results

871.0ms	3043×	body	1280	valid
441.0ms	2486×	body	640	valid
341.0ms	8478×	body	80	valid
145.0ms	1181×	body	320	valid
54.0ms	641×	body	160	valid