Details

sample45.0ms

Algorithm

intervals

Results

16.0ms	36×	body	1280	valid
11.0ms	183×	body	80	valid
6.0ms	24×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin 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`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

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

series91.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (+ x (cos y)) (* z (sin y)))
38.0ms	(* z (sin y))

simplify73.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	156	201
1	579	185
2	2660	185
3	5001	185

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0b	(cbrt (* z (sin y)))
8.0b	(cbrt (* z (sin y)))
8.0b	(cbrt (* z (sin y)))

rewrite18.0ms

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 (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
133.0ms	(cbrt (* z (sin y)))
124.0ms	(cbrt (* z (sin y)))
125.0ms	(cbrt (* z (sin y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	190	460
1	631	409
2	3021	358
3	5002	336

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
8.0b	(cbrt (* z (sin y)))
8.0b	(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt z)
106.0ms	(cbrt (sin y))
129.0ms	(cbrt (* z (sin y)))
131.0ms	(cbrt (* z (sin y)))

simplify156.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune220.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
8.0b	(cbrt (* z (sin y)))
8.0b	(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (sin y))
117.0ms	(cbrt (sin y))
132.0ms	(cbrt (* z (sin y)))
129.0ms	(cbrt (* z (sin y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 4 (113.0ms)

Iter	Nodes	Cost
0	129	268
1	275	244
2	892	222
3	3850	216
4	5002	210

prune238.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes112.0ms

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	10	5
1	10	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

453.0ms	1001×	body	1280	valid
333.0ms	5640×	body	80	valid
222.0ms	783×	body	640	valid
77.0ms	408×	body	320	valid
27.0ms	166×	body	160	valid
2.0ms	2×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5