Details

sample89.0ms

Algorithm

intervals

Results

31.0ms	88×	body	1280	valid
18.0ms	295×	body	80	valid
16.0ms	74×	body	640	valid
6.0ms	38×	body	320	valid
3.0ms	29×	body	160	valid

simplify77.0ms

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: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) 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×	`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:

1.0ms	(sinh y)
3.0ms	(/ (sinh y) y)
9.0ms	(* (sin x) (/ (sinh y) y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
87.0ms	(/ (sinh y) y)
107.0ms	(* (sin x) (/ (sinh y) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

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

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 118

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
24.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (/ (sinh y) y))
80.0ms	(sqrt (/ (sinh y) y))
124.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
191.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1054	1542
1	5001	1346

prune429.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
0.0b	(* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3)))
0.0b	(* (* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3))) (sqrt (/ (sinh y) y)))
0.0b	(pow (sqrt (/ (sinh y) y)) 3)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

95×	`sqrt-prod`
84×	`cbrt-prod` `add-sqr-sqrt`
65×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
57×	`associate-r`
51×	`unpow-prod-down` `cube-prod`
13×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`sqrt-div` `div-inv`
5×	`cube-div`
4×	`cbrt-div` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`*-commutative`
1×	`frac-times` `pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `associate-*l/` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 200

Calls

4 calls:

6.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
34.0ms	(* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3)))
46.0ms	(* (* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3))) (sqrt (/ (sinh y) y)))
6.0ms	(pow (sqrt (/ (sinh y) y)) 3)

series720.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
187.0ms	(* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3)))
319.0ms	(* (* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3))) (sqrt (/ (sinh y) y)))
131.0ms	(pow (sqrt (/ (sinh y) y)) 3)

simplify56.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1685	2437
1	5001	2135

prune534.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`sinh-def` `cbrt-div`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series698.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (sinh y))
164.0ms	(cbrt (sinh y))
181.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify68.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	112	228
1	214	212
2	461	204
3	1394	204
4	5001	204

prune245.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	3040×	body	1280	valid
548.0ms	8446×	body	80	valid
548.0ms	2453×	body	640	valid
210.0ms	1231×	body	320	valid
69.0ms	608×	body	160	valid