Details

sample100.0ms

Algorithm

intervals

Results

38.0ms	48×	body	1280	valid
20.0ms	36×	body	640	valid
16.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
3.0ms	13×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

1.0ms	(fma x (sin y) (* z (cos y)))
45.0ms	(* z (cos y))

series202.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(fma x (sin y) (* z (cos y)))
70.0ms	(* z (cos y))

simplify3.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	50	271
1	85	266
2	167	237
3	324	233
4	757	233
5	3020	233
done	5000	233

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite30.0ms

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:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
22.0ms	(* (cbrt z) (cbrt z))

series1.2s

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt z)
310.0ms	(cbrt z)
278.0ms	(cbrt z)
329.0ms	(* (cbrt z) (cbrt z))

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	325	423
3	1112	405
4	4532	400
done	5000	390

prune401.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite16.0ms

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 z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
12.0ms	(* (cbrt z) (cbrt z))

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt z)
275.0ms	(cbrt z)
283.0ms	(cbrt z)
298.0ms	(* (cbrt z) (cbrt z))

simplify4.9s

Counts

93 → 93

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	325	423
3	1112	405
4	4532	400
done	5000	390

prune560.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

15.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))
1.0ms	(cbrt (fma x (sin y) (* z (cos y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

376.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
294.0ms	(cbrt (fma x (sin y) (* z (cos y))))
283.0ms	(cbrt (fma x (sin y) (* z (cos y))))
318.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	102	1745
1	214	1617
2	577	1481
3	1630	1282
done	5000	1252

prune373.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1438×	body	1280	valid
1.1s	1294×	body	640	valid
659.0ms	4332×	body	80	valid
354.0ms	632×	body	320	valid
67.0ms	304×	body	160	valid