Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
9.0ms	38×	body	640	valid
8.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	26	8
done	26	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (cos y) z (+ x (sin y)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (cos y) z (+ x (sin y)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma (cos y) z (+ x (sin y)))

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	22	135
1	32	135
2	68	117
3	218	117
4	939	117
5	4904	117
done	5000	117

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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 (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify496.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	137	2163
1	349	2023
2	1541	1839
done	5001	1839

prune303.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
187.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
183.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: 3 (248.0ms)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	635	1172
3	4245	1128
done	5000	1128

prune274.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
183.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (245.0ms)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	635	1172
3	4245	1128
done	5000	1128

prune270.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

398.0ms	981×	body	1280	valid
290.0ms	5550×	body	80	valid
216.0ms	867×	body	640	valid
72.0ms	406×	body	320	valid
23.0ms	195×	body	160	valid
1.0ms	1×	body	2560	valid