Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
13.0ms	188×	body	80	valid
6.0ms	22×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	25	8
done	25	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

3.0ms	(+ x (sin y))
3.0ms	(* z (cos y))

series65.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (sin y))
35.0ms	(* z (cos y))

simplify2.3s

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	60	252
1	133	244
2	255	220
3	423	220
4	847	220
5	2144	220
done	5000	220

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series444.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	363	551
3	1342	529
done	5000	523

prune273.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 50

Calls

4 calls:

0.0ms	(log1p (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(log1p (cbrt (cos y)))
94.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: 4 (330.0ms)

Iter	Nodes	Cost
0	48	375
1	80	358
2	177	319
3	451	310
4	1583	306
done	5000	306

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (expm1 (log1p (pow (cos y) 2/3))))
0.1b	(* (* z (expm1 (log1p (pow (cos y) 2/3)))) (cbrt (cos y)))
0.1b	(expm1 (log1p (pow (cos y) 2/3)))
0.3b	(cbrt (cos y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

3.0ms	(* z (expm1 (log1p (pow (cos y) 2/3))))
8.0ms	(* (* z (expm1 (log1p (pow (cos y) 2/3)))) (cbrt (cos y)))
0.0ms	(expm1 (log1p (pow (cos y) 2/3)))
1.0ms	(cbrt (cos y))

series664.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* z (expm1 (log1p (pow (cos y) 2/3))))
159.0ms	(* (* z (expm1 (log1p (pow (cos y) 2/3)))) (cbrt (cos y)))
283.0ms	(expm1 (log1p (pow (cos y) 2/3)))
97.0ms	(cbrt (cos y))

simplify2.2s

Counts

79 → 79

Iterations

Useful iterations: 3 (570.0ms)

Iter	Nodes	Cost
0	99	817
1	212	655
2	655	577
3	2597	529
done	5000	529

prune274.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

431.0ms	994×	body	1280	valid
308.0ms	5657×	body	80	valid
208.0ms	758×	body	640	valid
69.0ms	383×	body	320	valid
30.0ms	208×	body	160	valid