Details

sample54.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
10.0ms	37×	body	640	valid
9.0ms	139×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* z (cos y))
0.1b	(* x (sin y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

3.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* z (cos y))
45.0ms	(* x (sin y))

simplify99.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	122	157
1	443	137
2	1041	137
3	1583	137
4	3679	137
5	5001	137

prune122.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
9.5b	(cbrt (* x (sin y)))
9.5b	(cbrt (* x (sin y)))
9.5b	(cbrt (* x (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
122.0ms	(cbrt (* x (sin y)))
126.0ms	(cbrt (* x (sin y)))
123.0ms	(cbrt (* x (sin y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3141	388
3	5002	366

prune277.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (sin y))
9.5b	(cbrt (* x (sin y)))
9.5b	(cbrt (* x (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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`

Counts

4 → 48

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt x)
101.0ms	(cbrt (sin y))
126.0ms	(cbrt (* x (sin y)))
129.0ms	(cbrt (* x (sin y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune267.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (sin y))
9.5b	(cbrt (* x (sin y)))
9.5b	(cbrt (* x (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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`

Counts

4 → 48

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
103.0ms	(cbrt (sin y))
126.0ms	(cbrt (* x (sin y)))
132.0ms	(cbrt (* x (sin y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune241.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

647.0ms	1529×	body	1280	valid
304.0ms	1189×	body	640	valid
262.0ms	4319×	body	80	valid
110.0ms	631×	body	320	valid
42.0ms	332×	body	160	valid