Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	31×	body	1280	valid
10.0ms	182×	body	80	valid
5.0ms	20×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	4×	body	160	valid

simplify247.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	37	9
4	53	9
5	64	9
6	84	9
7	116	9
8	160	9
9	170	9
10	197	9
11	247	9
12	268	9
done	268	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

23.0ms	(- (+ x (cos y)) (* z (sin y)))
3.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (+ x (cos y)) (* z (sin y)))
23.0ms	(+ x (cos y))
39.0ms	(* z (sin y))

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: 3 (299.0ms)

Iter	Nodes	Cost
0	96	633
1	230	600
2	693	552
3	3175	536
done	5000	536

prune185.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))

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×	`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:

9.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series390.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
93.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (333.0ms)

Iter	Nodes	Cost
0	79	750
1	165	668
2	551	564
3	2181	541
done	5000	541

prune273.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite5.0ms

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

series376.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (sin y))
93.0ms	(cbrt (cbrt (sin y)))
96.0ms	(cbrt (cbrt (sin y)))
93.0ms	(cbrt (cbrt (sin y)))

simplify754.0ms

Counts

73 → 73

Iterations

Useful iterations: 4 (281.0ms)

Iter	Nodes	Cost
0	60	547
1	119	531
2	249	486
3	626	474
4	1959	470
done	5001	470

prune274.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (cbrt (pow (sin y) 2)))
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
17.2b	(cbrt (pow (sin y) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(* z (cbrt (pow (sin y) 2)))
15.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (pow (sin y) 2))

series323.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* z (cbrt (pow (sin y) 2)))
38.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
93.0ms	(cbrt (sin y))
110.0ms	(cbrt (pow (sin y) 2))

simplify592.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	136	971
1	308	917
2	1168	790
done	5000	790

prune317.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

397.0ms	970×	body	1280	valid
301.0ms	5648×	body	80	valid
194.0ms	760×	body	640	valid
75.0ms	414×	body	320	valid
25.0ms	208×	body	160	valid