Details

sample46.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
9.0ms	167×	body	80	valid
8.0ms	34×	body	640	valid
3.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:

50.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
44.0ms	(* z (sin y))

simplify81.0ms

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

prune116.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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))

rewrite21.0ms

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:

14.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series418.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify92.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
0.4b	(cbrt (+ x (cos y)))
0.4b	(cbrt (+ x (cos y)))
0.4b	(cbrt (+ x (cos y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

35.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
4.0ms	(cbrt (+ x (cos y)))
4.0ms	(cbrt (+ x (cos y)))
4.0ms	(cbrt (+ x (cos y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
77.0ms	(cbrt (+ x (cos y)))
78.0ms	(cbrt (+ x (cos y)))
78.0ms	(cbrt (+ x (cos y)))

simplify157.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	297	1027
1	1042	964
2	4950	897
3	5001	897
done	5001	897

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin y) 2)
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
12.8b	(cbrt (pow (sin y) 2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

4.0ms	(pow (sin y) 2)
36.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (pow (sin y) 2))

series267.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (sin y) 2)
43.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
111.0ms	(cbrt (pow (sin y) 2))

simplify40.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	294	466
1	1217	407
2	5001	388
done	5001	388

prune233.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	19	14
2	19	14
done	19	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

373.0ms	943×	body	1280	valid
290.0ms	5609×	body	80	valid
193.0ms	822×	body	640	valid
69.0ms	425×	body	320	valid
22.0ms	201×	body	160	valid