Details

sample87.0ms

Algorithm

intervals

Results

29.0ms	180×	body	80	valid
24.0ms	35×	body	1280	valid
12.0ms	25×	body	640	valid
2.0ms	9×	body	160	valid
2.0ms	7×	body	320	valid

simplify275.0ms

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

localize26.0ms

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))

rewrite121.0ms

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:

85.0ms	(- (+ x (cos y)) (* z (sin y)))
14.0ms	(+ x (cos y))
20.0ms	(* z (sin y))

series182.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (+ x (cos y)) (* z (sin y)))
48.0ms	(+ x (cos y))
57.0ms	(* z (sin y))

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: done (2.8s)

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

prune249.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (cos y) x)
0.1b	(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))

series133.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (cos y) x)
87.0ms	(fma z (- (sin y)) (+ (cos y) x))

simplify2.3s

Counts

33 → 33

Iterations

Useful iterations: 3 (179.0ms)

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

prune237.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite45.0ms

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:

20.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms	(cbrt (* z (sin y)))
10.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
179.0ms	(cbrt (* z (sin y)))
173.0ms	(cbrt (* z (sin y)))
181.0ms	(cbrt (* z (sin y)))

simplify3.2s

Counts

78 → 78

Iterations

Useful iterations: done (3.2s)

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

prune405.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sin y))
0.6b	(cbrt z)
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite12.0ms

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:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (sin y))
257.0ms	(cbrt z)
197.0ms	(cbrt (* z (sin y)))
170.0ms	(cbrt (* z (sin y)))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

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

prune306.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

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

sample2.8s

Algorithm

intervals

Results

819.0ms	834×	body	640	valid
714.0ms	5648×	body	80	valid
645.0ms	919×	body	1280	valid
165.0ms	410×	body	320	valid
40.0ms	189×	body	160	valid