Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	191×	body	80	valid
10.0ms	24×	body	1280	valid
6.0ms	26×	body	640	valid
4.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify157.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite64.0ms

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:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
7.0ms	(+ x (cos y))
9.0ms	(* z (sin y))

series117.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ x (cos y)) (* z (sin y)))
26.0ms	(+ x (cos y))
38.0ms	(* z (sin y))

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	96	633
1	224	600
2	587	552
3	2028	540
done	5000	513

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (cos y) x)
56.0ms	(fma z (- (sin y)) (+ (cos y) x))

simplify1.5s

Counts

33 → 33

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	53	272
1	120	268
2	276	242
3	729	240
4	2851	240
done	5000	240

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(* (cbrt (sin y)) (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:

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

series411.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	424	564
3	1290	541
done	5000	533

prune265.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
9.4b	(sqrt (* z (sin y)))
9.4b	(sqrt (* z (sin y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 97

Calls

4 calls:

9.0ms	(* z (sin y))
37.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
6.0ms	(sqrt (* z (sin y)))
6.0ms	(sqrt (* z (sin y)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (sin y))
42.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
58.0ms	(sqrt (* z (sin y)))
57.0ms	(sqrt (* z (sin y)))

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	117	1048
1	256	751
2	755	686
3	2642	647
done	5000	640

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

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

sample1.3s

Algorithm

intervals

Results

416.0ms	974×	body	1280	valid
294.0ms	5600×	body	80	valid
205.0ms	808×	body	640	valid
74.0ms	410×	body	320	valid
25.0ms	208×	body	160	valid