Details

sample107.0ms

Algorithm

intervals

Results

39.0ms	97×	body	1280	valid
22.0ms	79×	body	640	valid
17.0ms	272×	body	80	valid
9.0ms	48×	body	320	valid
2.0ms	19×	body	160	valid

simplify96.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) 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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

3.0ms	(/ (sinh y) y)
0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) y))

series282.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (sinh y) y)
66.0ms	(sinh y)
131.0ms	(* (sin x) (/ (sinh y) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune173.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

19.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))

series885.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
237.0ms	(cbrt (/ (sinh y) y))
203.0ms	(cbrt (/ (sinh y) y))
208.0ms	(cbrt (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	345	1453
1	1112	1402
2	5001	1321

prune493.0ms

Filtered

156 candidates to 126 candidates (80.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))

series853.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (/ (sinh y) y))
211.0ms	(cbrt (/ (sinh y) y))
213.0ms	(cbrt (/ (sinh y) y))
210.0ms	(cbrt (/ (sinh y) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	163	768
1	373	740
2	1341	708
3	5001	676

prune354.0ms

Filtered

100 candidates to 84 candidates (84.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize18.0ms

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))
0.0b	(* 1/120 (pow y 5))
0.2b	(* 1/6 (pow y 3))

rewrite68.0ms

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:

10.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
42.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
5.0ms	(* 1/120 (pow y 5))
7.0ms	(* 1/6 (pow y 3))

series350.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
204.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
51.0ms	(* 1/120 (pow y 5))
40.0ms	(* 1/6 (pow y 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (14.0ms)

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

prune277.0ms

Filtered

113 candidates to 76 candidates (67.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes121.0ms

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

sample2.4s

Algorithm

intervals

Results

935.0ms	3005×	body	1280	valid
520.0ms	2553×	body	640	valid
407.0ms	8579×	body	80	valid
173.0ms	1259×	body	320	valid
63.0ms	665×	body	160	valid