Details

sample46.0ms

Algorithm

intervals

Results

17.0ms	43×	body	1280	valid
9.0ms	172×	body	80	valid
6.0ms	25×	body	640	valid
2.0ms	12×	body	320	valid
0.0ms	4×	body	160	valid

simplify23.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.2b	(* z (sin y))

rewrite14.0ms

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`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

6.0ms	(- (+ x (cos y)) (* z (sin y)))
3.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series116.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (+ x (cos y)) (* z (sin y)))
26.0ms	(+ x (cos y))
45.0ms	(* z (sin y))

simplify76.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite13.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series612.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
289.0ms	(cbrt (sin y))
106.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (91.0ms)

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

prune257.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.3b	(pow (sin y) 2)
0.6b	(cbrt (sin y))
13.0b	(pow (pow (sin y) 2) 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

9.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
3.0ms	(pow (sin y) 2)
1.0ms	(cbrt (sin y))
4.0ms	(pow (pow (sin y) 2) 1/3)

series280.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
19.0ms	(pow (sin y) 2)
105.0ms	(cbrt (sin y))
118.0ms	(pow (pow (sin y) 2) 1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	363	483
1	1456	412
2	5001	395

prune281.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin y) 2)
0.6b	(cbrt (sin y))
4.4b	(pow (pow (pow (sin y) 2) (sqrt 1/3)) (sqrt 1/3))
10.8b	(pow (pow (sin y) 2) (sqrt 1/3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

37×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`pow-unpow`
14×	`pow-exp`
10×	`add-exp-log`
6×	`pow-to-exp` `sqrt-prod` `sqr-pow`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-pow` `unpow2`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

3.0ms	(pow (sin y) 2)
2.0ms	(cbrt (sin y))
7.0ms	(pow (pow (pow (sin y) 2) (sqrt 1/3)) (sqrt 1/3))
5.0ms	(pow (pow (sin y) 2) (sqrt 1/3))

series655.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (sin y) 2)
100.0ms	(cbrt (sin y))
345.0ms	(pow (pow (pow (sin y) 2) (sqrt 1/3)) (sqrt 1/3))
188.0ms	(pow (pow (sin y) 2) (sqrt 1/3))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	415	700
1	1444	629
2	5002	564

prune338.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes179.0ms

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

407.0ms	959×	body	1280	valid
313.0ms	5639×	body	80	valid
208.0ms	799×	body	640	valid
74.0ms	407×	body	320	valid
24.0ms	196×	body	160	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