Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
14.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	16×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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 (cos y) (* z (sin y)))
3.0ms	(* z (sin y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(fma x (cos y) (* z (sin y)))
42.0ms	(* z (sin y))

simplify2.9s

Counts

36 → 36

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	49	269
1	85	264
2	247	232
3	552	232
4	1117	232
5	3512	232
done	5000	232

prune98.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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 (cos y) (* z (sin y)))
7.0ms	(* z (sin y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma x (cos y) (* z (sin y)))
36.0ms	(* z (sin y))

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	49	269
1	85	264
2	247	232
3	552	232
4	1117	232
5	3512	232
done	5000	232

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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:

5.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series727.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt z) (cbrt z))
176.0ms	(cbrt z)
177.0ms	(cbrt z)
169.0ms	(cbrt z)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune292.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite10.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series412.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
104.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (328.0ms)

Iter	Nodes	Cost
0	79	750
1	165	668
2	551	564
3	2181	541
done	5000	541

prune254.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	13	8
2	15	8
done	15	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	1513×	body	1280	valid
340.0ms	1288×	body	640	valid
235.0ms	4291×	body	80	valid
105.0ms	592×	body	320	valid
38.0ms	316×	body	160	valid