Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	27×	body	1280	valid
9.0ms	191×	body	80	valid
4.0ms	19×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	6×	body	160	valid

simplify24.0ms

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
done	396	5

prune2.0ms

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))

rewrite59.0ms

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:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (+ x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))

simplify82.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (78.0ms)

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

prune124.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite23.0ms

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (sin y))

series410.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
98.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))

simplify89.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392
done	5001	392

prune273.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite22.0ms

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
106.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))

simplify90.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392
done	5001	392

prune315.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

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

series410.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sin y))
101.0ms	(cbrt (cbrt (sin y)))
102.0ms	(cbrt (cbrt (sin y)))
106.0ms	(cbrt (cbrt (sin y)))

simplify68.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	114	394
1	237	368
2	607	360
3	2056	360
4	5001	360
done	5001	360

prune333.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	32
1	25	32
done	25	32

end0.0ms

sample1.2s

Algorithm

intervals

Results

388.0ms	995×	body	1280	valid
297.0ms	5541×	body	80	valid
202.0ms	837×	body	640	valid
75.0ms	438×	body	320	valid
21.0ms	188×	body	160	valid
2.0ms	1×	body	2560	valid