Details

sample107.0ms

Algorithm

intervals

Results

38.0ms	28×	body	1280	valid
21.0ms	173×	body	80	valid
15.0ms	27×	body	640	valid
8.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid

simplify202.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	36	9
4	42	9
5	51	9
6	61	9
7	71	9
8	85	9
9	101	9
10	114	9
11	117	9
done	117	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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:

13.0ms	(+ x (cos y))
72.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (cos y))
59.0ms	(- (+ x (cos y)) (* z (sin y)))
51.0ms	(* z (sin y))

simplify1.1s

Counts

53 → 53

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	84	477
1	199	446
2	518	420
3	1613	420
done	5001	420

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite39.0ms

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:

20.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
182.0ms	(cbrt (* z (sin y)))
141.0ms	(cbrt (* z (sin y)))
125.0ms	(cbrt (* z (sin y)))

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	87	790
1	189	713
2	460	629
3	1192	540
4	3815	482
done	5001	448

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite17.0ms

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))
1.0ms	(cbrt z)
6.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series681.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (sin y))
241.0ms	(cbrt z)
147.0ms	(cbrt (* z (sin y)))
175.0ms	(cbrt (* z (sin y)))

simplify1.7s

Counts

52 → 52

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	81	383
1	161	371
2	328	334
3	775	298
4	2465	284
done	5002	281

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (/ (sin y) (/ -1 z))) (cbrt -1)) (cbrt (* z (sin y))))
6.4b	(cbrt (/ (sin y) (/ -1 z)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
47×	`cbrt-prod`
40×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log`
6×	`pow1/3`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`associate-r` `div-inv` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-div` `associate-*l/`
1×	`associate-l` `associate-/r/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

81.0ms	(* (* (cbrt (/ (sin y) (/ -1 z))) (cbrt -1)) (cbrt (* z (sin y))))
6.0ms	(cbrt (/ (sin y) (/ -1 z)))
6.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (* (cbrt (/ (sin y) (/ -1 z))) (cbrt -1)) (cbrt (* z (sin y))))
137.0ms	(cbrt (/ (sin y) (/ -1 z)))
164.0ms	(cbrt (* z (sin y)))
146.0ms	(cbrt (* z (sin y)))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	281	1679
1	532	1600
2	1483	1489
done	5001	1428

prune602.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	5643×	body	80	valid
733.0ms	976×	body	1280	valid
326.0ms	803×	body	640	valid
162.0ms	384×	body	320	valid
39.0ms	193×	body	160	valid
1.0ms	1×	body	2560	valid