Details

sample102.0ms

Algorithm

intervals

Results

30.0ms	40×	body	1280	valid
22.0ms	43×	body	640	valid
16.0ms	139×	body	80	valid
8.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (cos y) (* z (sin y)))
17.0ms	(* z (sin y))

series215.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(fma x (cos y) (* z (sin y)))
91.0ms	(* z (sin y))

simplify4.7s

Counts

36 → 36

Iterations

Useful iterations: 3 (369.0ms)

Iter	Nodes	Cost
0	49	269
1	89	264
2	240	234
3	1121	232
4	4628	232
done	5000	232

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

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))

rewrite41.0ms

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:

27.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series717.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
172.0ms	(cbrt (sin y))
167.0ms	(cbrt (sin y))
182.0ms	(cbrt (sin y))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	79	750
1	183	664
2	715	564
done	5000	549

prune789.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (sin y)))

rewrite18.0ms

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:

3.0ms	(cbrt (sin y))
4.0ms	(cbrt (cbrt (sin y)))
4.0ms	(cbrt (cbrt (sin y)))
5.0ms	(cbrt (cbrt (sin y)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (sin y))
205.0ms	(cbrt (cbrt (sin y)))
201.0ms	(cbrt (cbrt (sin y)))
198.0ms	(cbrt (cbrt (sin y)))

simplify4.1s

Counts

73 → 73

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	60	547
1	122	528
2	298	486
3	1003	474
4	3758	470
done	5000	470

prune749.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))

rewrite34.0ms

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:

24.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))
2.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

474.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
397.0ms	(cbrt (fma x (cos y) (* z (sin y))))
387.0ms	(cbrt (fma x (cos y) (* z (sin y))))
424.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify7.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	120	1813
1	295	1680
2	948	1529
3	4760	1317
done	5000	1317

prune913.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes520.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.2s	1545×	body	1280	valid
886.0ms	4293×	body	80	valid
722.0ms	1234×	body	640	valid
368.0ms	599×	body	320	valid
90.0ms	329×	body	160	valid