Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	31×	body	1280	valid
10.0ms	180×	body	80	valid
9.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	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: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

18.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (+ x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))

simplify70.0ms

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

prune102.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series404.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune269.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
103.0ms	(cbrt (cbrt (sin y)))
96.0ms	(cbrt (cbrt (sin y)))
98.0ms	(cbrt (cbrt (sin y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	108	364
1	221	338
2	581	330
3	1891	330
4	5001	330

prune290.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (cbrt (sin y))))
0.6b	(cbrt (cbrt (cbrt (sin y))))
0.6b	(cbrt (cbrt (cbrt (sin y))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (cbrt (sin y))))
1.0ms	(cbrt (cbrt (cbrt (sin y))))
1.0ms	(cbrt (cbrt (cbrt (sin y))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (cbrt (sin y)))
99.0ms	(cbrt (cbrt (cbrt (sin y))))
104.0ms	(cbrt (cbrt (cbrt (sin y))))
97.0ms	(cbrt (cbrt (cbrt (sin y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	115	560
1	206	526
2	513	518
3	1528	518
4	5001	518

prune356.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

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

sample1.2s

Algorithm

intervals

Results

422.0ms	1020×	body	1280	valid
294.0ms	5544×	body	80	valid
208.0ms	843×	body	640	valid
67.0ms	403×	body	320	valid
22.0ms	189×	body	160	valid
3.0ms	1×	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