Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	36×	body	1280	valid
10.0ms	182×	body	80	valid
6.0ms	25×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify7.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series79.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ x (sin y)) (* z (cos y)))
36.0ms	(* z (cos y))

simplify68.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	152	192
1	605	176
2	2510	176
3	5001	176

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series468.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 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)))

rewrite14.0ms

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:

5.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
3.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
122.0ms	(cbrt (* z (cos y)))
125.0ms	(cbrt (* z (cos y)))
121.0ms	(cbrt (* z (cos y)))

simplify121.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (115.0ms)

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

prune236.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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)))

rewrite15.0ms

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:

7.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
1.0ms	(cbrt z)
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
175.0ms	(cbrt z)
129.0ms	(cbrt (* z (cos y)))
120.0ms	(cbrt (* z (cos y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (80.0ms)

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

prune239.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes142.0ms

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

421.0ms	998×	body	1280	valid
319.0ms	5642×	body	80	valid
200.0ms	788×	body	640	valid
70.0ms	407×	body	320	valid
20.0ms	165×	body	160	valid