Details

sample82.0ms

Algorithm

intervals

Results

29.0ms	50×	body	1280	valid
17.0ms	43×	body	640	valid
12.0ms	128×	body	80	valid
6.0ms	23×	body	320	valid
2.0ms	12×	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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.2b	(* z (cos y))

rewrite12.0ms

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 (sin y) (* z (cos y)))
10.0ms	(* z (cos y))

series139.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma x (sin y) (* z (cos y)))
41.0ms	(* z (cos y))

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 3 (93.0ms)

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

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series1.1s

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
513.0ms	(cbrt (cos y))
178.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

30.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series749.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
161.0ms	(cbrt (cos y))
193.0ms	(cbrt (cos y))
161.0ms	(cbrt (cos y))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune430.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))))

rewrite28.0ms

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:

20.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
2.0ms	(cbrt (fma x (sin y) (* z (cos y))))
2.0ms	(cbrt (fma x (sin y) (* z (cos y))))
2.0ms	(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)))))
274.0ms	(cbrt (fma x (sin y) (* z (cos y))))
295.0ms	(cbrt (fma x (sin y) (* z (cos y))))
320.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

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

prune424.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes255.0ms

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

sample3.7s

Algorithm

intervals

Results

1.7s	1527×	body	1280	valid
654.0ms	1265×	body	640	valid
580.0ms	4226×	body	80	valid
221.0ms	648×	body	320	valid
102.0ms	334×	body	160	valid