Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	34×	body	1280	valid
9.0ms	180×	body	80	valid
5.0ms	19×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	11×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

3.0ms	(+ x (sin y))
15.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series101.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (sin y))
37.0ms	(+ (+ x (sin y)) (* z (cos y)))
37.0ms	(* z (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite12.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
116.0ms	(cbrt (* z (cos y)))
119.0ms	(cbrt (* z (cos y)))
123.0ms	(cbrt (* z (cos y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	175	423
1	691	372
2	3601	342
3	5001	317

prune207.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
0.6b	(cbrt z)
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1/3` `associate-l`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 51

Calls

4 calls:

12.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
0.0ms	(cbrt z)
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
163.0ms	(cbrt z)
113.0ms	(cbrt (* z (cos y)))
116.0ms	(cbrt (* z (cos y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	214	408
1	718	372
2	3197	350
3	5001	331

prune240.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-r`
5×	`pow1/3`
4×	`associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `unswap-sqr`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 53

Calls

4 calls:

9.0ms	(* (cbrt (* z (cos y))) (cbrt z))
0.0ms	(cbrt z)
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (* z (cos y))) (cbrt z))
181.0ms	(cbrt z)
118.0ms	(cbrt (* z (cos y)))
122.0ms	(cbrt (* z (cos y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	189	358
1	656	330
2	2728	321
3	5002	306

prune238.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

420.0ms	1011×	body	1280	valid
298.0ms	5568×	body	80	valid
200.0ms	781×	body	640	valid
75.0ms	404×	body	320	valid
34.0ms	236×	body	160	valid