Details

sample90.0ms

Algorithm

intervals

Results

35.0ms	96×	body	1280	valid
20.0ms	89×	body	640	valid
13.0ms	258×	body	80	valid
5.0ms	31×	body	320	valid
2.0ms	20×	body	160	valid

simplify74.0ms

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	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: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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)
7.0ms	(* (sin x) (/ (sinh y) y))

series214.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(sinh y)
139.0ms	(* (sin x) (/ (sinh y) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (41.0ms)

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

prune97.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(+ (* 1/120 (pow y 5)) y)
10.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
5.0ms	(* 1/120 (pow y 5))
6.0ms	(* 1/6 (pow y 3))

series277.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (* 1/120 (pow y 5)) y)
78.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
51.0ms	(* 1/120 (pow y 5))
36.0ms	(* 1/6 (pow y 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	402	655
1	1885	602
2	5001	602

prune326.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/120 (pow y 4))
0.2b	(* 1/6 (pow y 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-exp-log`
8×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2` `add-log-exp`

Counts

2 → 52

Calls

2 calls:

5.0ms	(* 1/120 (pow y 4))
5.0ms	(* 1/6 (pow y 2))

series61.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* 1/120 (pow y 4))
23.0ms	(* 1/6 (pow y 2))

simplify154.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	197	196
1	792	176
2	3735	176
3	5001	176

prune131.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/6 (pow y 3)) (exp (log (+ (* 1/120 (pow y 5)) y)))) y)
0.0b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))
2.7b	(exp (log (+ (* 1/120 (pow y 5)) y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow1`
4×	`exp-prod` `cube-prod` `add-log-exp` `sqr-pow`
3×	`log-prod` `exp-sum` `associate-/r` `associate-/l`
2×	`pow-to-exp` `log-div` `flip3-+` `exp-diff` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `frac-2neg` `unpow3` `div-exp` `clear-num` `log-pow` `div-inv` `rem-exp-log`

Counts

4 → 102

Calls

4 calls:

11.0ms	(/ (+ (* 1/6 (pow y 3)) (exp (log (+ (* 1/120 (pow y 5)) y)))) y)
5.0ms	(* 1/120 (pow y 5))
6.0ms	(* 1/6 (pow y 3))
6.0ms	(exp (log (+ (* 1/120 (pow y 5)) y)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (+ (* 1/6 (pow y 3)) (exp (log (+ (* 1/120 (pow y 5)) y)))) y)
49.0ms	(* 1/120 (pow y 5))
39.0ms	(* 1/6 (pow y 3))
108.0ms	(exp (log (+ (* 1/120 (pow y 5)) y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	410	776
1	1801	693
2	5001	683

prune320.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes107.0ms

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

sample2.5s

Algorithm

intervals

Results

979.0ms	3040×	body	1280	valid
513.0ms	2521×	body	640	valid
416.0ms	8609×	body	80	valid
180.0ms	1284×	body	320	valid
68.0ms	656×	body	160	valid