Details

sample75.0ms

Algorithm

intervals

Results

31.0ms	32×	body	1280	valid
17.0ms	188×	body	80	valid
8.0ms	19×	body	640	valid
2.0ms	8×	body	320	valid
2.0ms	9×	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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

10.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (sin y))
71.0ms	(fma (cos y) z (+ x (sin y)))

simplify848.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	46	251
1	99	246
2	232	220
3	854	220
done	5000	220

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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))))

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:

16.0ms	(* (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))))

series880.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
201.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
203.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
246.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify632.0ms

Counts

93 → 93

Iterations

Useful iterations: done (629.0ms)

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

prune343.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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))))

rewrite4.0ms

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:

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

series933.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
248.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
201.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
221.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify444.0ms

Counts

64 → 64

Iterations

Useful iterations: done (441.0ms)

Iter	Nodes	Cost
0	70	1332
1	182	1292
2	718	1172
done	5000	1128

prune391.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize61.0ms

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))))
1.8b	(expm1 (log1p (cbrt (fma (cos y) z (+ x (sin y))))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 50

Calls

4 calls:

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))))
0.0ms	(expm1 (log1p (cbrt (fma (cos y) z (+ x (sin y))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
247.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
272.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
259.0ms	(expm1 (log1p (cbrt (fma (cos y) z (+ x (sin y))))))

simplify390.0ms

Counts

62 → 62

Iterations

Useful iterations: done (387.0ms)

Iter	Nodes	Cost
0	81	1306
1	198	1243
2	765	1123
done	5000	1079

prune384.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes93.0ms

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

sample2.7s

Algorithm

intervals

Results

1.1s	929×	body	1280	valid
666.0ms	5624×	body	80	valid
415.0ms	831×	body	640	valid
109.0ms	410×	body	320	valid
41.0ms	206×	body	160	valid