Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	29×	body	1280	valid
12.0ms	191×	body	80	valid
6.0ms	21×	body	640	valid
3.0ms	13×	body	320	valid
0.0ms	2×	body	160	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `diff-log` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

22.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify85.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	179	287
1	653	257
2	3467	256
3	5001	249

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series753.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt z) (cbrt z))
183.0ms	(cbrt z)
181.0ms	(cbrt z)
181.0ms	(cbrt z)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune292.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
0.6b	(cbrt z)
27.2b	(cbrt (pow z 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* (cbrt z) (sin y))
13.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
0.0ms	(cbrt z)
1.0ms	(cbrt (pow z 2))

series542.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (cbrt z) (sin y))
46.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
214.0ms	(cbrt z)
183.0ms	(cbrt (pow z 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	237	455
1	877	407
2	5002	394

prune322.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (cbrt (pow z 2))) (* (cbrt z) (sin y)))
0.6b	(cbrt z)
27.2b	(cbrt (pow z 2))
27.2b	(cbrt (pow z 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`associate-l`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`sqrt-prod`
9×	`pow1` `add-exp-log` `unpow-prod-down`
8×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`associate-r` `*-commutative`

Counts

4 → 80

Calls

4 calls:

15.0ms	(* (sqrt (cbrt (pow z 2))) (* (cbrt z) (sin y)))
0.0ms	(cbrt z)
1.0ms	(cbrt (pow z 2))
1.0ms	(cbrt (pow z 2))

series649.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (sqrt (cbrt (pow z 2))) (* (cbrt z) (sin y)))
180.0ms	(cbrt z)
184.0ms	(cbrt (pow z 2))
179.0ms	(cbrt (pow z 2))

simplify113.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	223	473
1	802	428
2	3475	417
3	5001	414

prune382.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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

sample1.4s

Algorithm

intervals

Results

449.0ms	976×	body	1280	valid
374.0ms	5614×	body	80	valid
248.0ms	808×	body	640	valid
80.0ms	385×	body	320	valid
32.0ms	217×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5