Details

sample74.0ms

Algorithm

intervals

Results

28.0ms	34×	body	1280	valid
13.0ms	168×	body	80	valid
12.0ms	32×	body	640	valid
4.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	28	8
done	28	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(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)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify867.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	22	135
1	32	135
2	75	117
3	480	117
done	5001	117

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

51.0ms	(+ (* (cos y) z) (+ x (sin y)))
20.0ms	(* (cos y) z)

series103.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (cos y) z) (+ x (sin y)))
56.0ms	(* (cos y) z)

simplify790.0ms

Counts

42 → 42

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	74	386
1	193	350
2	797	324
done	5000	323

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite32.0ms

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:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt z) (cbrt z))
268.0ms	(cbrt z)
315.0ms	(cbrt z)
343.0ms	(cbrt z)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune435.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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))))

rewrite21.0ms

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:

14.0ms	(* (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))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
250.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
316.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
294.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (931.0ms)

Iter	Nodes	Cost
0	137	2163
1	377	2019
2	1700	1836
done	5001	1676

prune357.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

956.0ms	5592×	body	80	valid
629.0ms	996×	body	1280	valid
414.0ms	798×	body	640	valid
133.0ms	406×	body	320	valid
37.0ms	208×	body	160	valid