Details

sample96.0ms

Algorithm

intervals

Results

24.0ms	28×	body	1280	valid
22.0ms	173×	body	80	valid
16.0ms	27×	body	640	valid
8.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid

simplify646.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	40	9
4	56	9
5	67	9
6	81	9
7	98	9
8	126	9
9	145	9
10	158	9
11	179	9
done	179	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite84.0ms

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:

13.0ms	(+ x (cos y))
56.0ms	(- (+ x (cos y)) (* z (sin y)))
13.0ms	(* z (sin y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (cos y))
68.0ms	(- (+ x (cos y)) (* z (sin y)))
54.0ms	(* z (sin y))

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	96	633
1	224	600
2	589	552
3	2027	540
done	5002	513

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

7.0ms	(+ (cos y) x)
0.0ms	(fma (sin y) (- z) (+ (cos y) x))

series95.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (cos y) x)
61.0ms	(fma (sin y) (- z) (+ (cos y) x))

simplify1.9s

Counts

33 → 33

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	51	274
1	112	270
2	255	244
3	699	241
4	2798	241
done	5000	241

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)))

rewrite55.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

33.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
132.0ms	(cbrt (* z (sin y)))
160.0ms	(cbrt (* z (sin y)))
153.0ms	(cbrt (* z (sin y)))

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	91	850
1	194	773
2	478	689
3	1256	593
4	3964	531
done	5000	494

prune311.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

3.0ms	(cbrt (sin y))
2.0ms	(cbrt z)
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (sin y))
239.0ms	(cbrt z)
184.0ms	(cbrt (* z (sin y)))
160.0ms	(cbrt (* z (sin y)))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	87	421
1	168	408
2	342	371
3	802	335
4	2599	318
done	5000	315

prune317.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	12	9
done	12	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

947.0ms	976×	body	1280	valid
707.0ms	5643×	body	80	valid
478.0ms	803×	body	640	valid
107.0ms	384×	body	320	valid
41.0ms	193×	body	160	valid
2.0ms	1×	body	2560	valid