Details

sample54.0ms

Algorithm

intervals

Results

18.0ms	27×	body	1280	valid
15.0ms	190×	body	80	valid
7.0ms	22×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

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)))
3.0ms	(* z (cos y))

series116.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (sin y))
48.0ms	(+ (+ x (sin y)) (* z (cos y)))
40.0ms	(* z (cos y))

simplify79.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

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×	`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)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
141.0ms	(cbrt (* z (cos y)))
146.0ms	(cbrt (* z (cos y)))
139.0ms	(cbrt (* z (cos y)))

simplify137.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (132.0ms)

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

prune248.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(* (cbrt (* z (cos y))) (cbrt z))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series653.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (* z (cos y))) (cbrt z))
142.0ms	(cbrt (* z (cos y)))
151.0ms	(cbrt (* z (cos y)))
198.0ms	(cbrt z)

simplify84.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (79.0ms)

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

prune286.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
9×	`pow1` `add-exp-log`
8×	`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 → 53

Calls

4 calls:

11.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt z)))
2.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series711.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt z)))
141.0ms	(cbrt (* z (cos y)))
202.0ms	(cbrt z)
205.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	201	330
1	676	294
2	2807	275
3	5001	261

prune274.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes175.0ms

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	11	5
1	11	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

494.0ms	832×	body	640	valid
477.0ms	976×	body	1280	valid
461.0ms	5569×	body	80	valid
101.0ms	412×	body	320	valid
34.0ms	211×	body	160	valid