Details

sample87.0ms

Algorithm

intervals

Results

30.0ms	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

simplify44.0ms

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

localize6.0ms

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×	`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:

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

series263.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
93.0ms	(/ (sinh y) y)
110.0ms	(* (sin x) (/ (sinh y) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

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

prune197.0ms

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)))

rewrite48.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 126

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
26.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (/ (sinh y) y))
85.0ms	(sqrt (/ (sinh y) y))
131.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
192.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1108	1584
1	5001	1406

prune481.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

rewrite102.0ms

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×	`expm1-log1p-u` `cbrt-div` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 208

Calls

4 calls:

8.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
32.0ms	(* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3)))
47.0ms	(* (* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3))) (sqrt (/ (sinh y) y)))
5.0ms	(pow (sqrt (/ (sinh y) y)) 3)

series546.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
196.0ms	(* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3)))
134.0ms	(* (* (sin x) (cbrt (pow (sqrt (/ (sinh y) y)) 3))) (sqrt (/ (sinh y) y)))
130.0ms	(pow (sqrt (/ (sinh y) y)) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1771	2495
1	5002	2191

prune607.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sinh-def` `cbrt-div`

Counts

4 → 54

Calls

4 calls:

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

series874.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (sinh y))
161.0ms	(cbrt (sinh y))
184.0ms	(cbrt y)
366.0ms	(cbrt y)

simplify73.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	117	248
1	224	230
2	487	222
3	1476	222
4	5001	222

prune270.0ms

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

sample2.7s

Algorithm

intervals

Results

1.0s	3040×	body	1280	valid
558.0ms	2453×	body	640	valid
533.0ms	8446×	body	80	valid
194.0ms	1231×	body	320	valid
67.0ms	608×	body	160	valid