Details

sample126.0ms

Algorithm

intervals

Results

42.0ms	46×	body	1280	valid
25.0ms	42×	body	640	valid
17.0ms	132×	body	80	valid
9.0ms	15×	body	160	valid
8.0ms	21×	body	320	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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

series177.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(fma x (cos y) (* z (sin y)))
82.0ms	(* z (sin y))

simplify3.2s

Counts

36 → 36

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	49	269
1	83	264
2	165	232
3	321	232
4	755	232
5	3025	232
done	5000	232

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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)

series1.3s

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (cbrt z) (cbrt z))
331.0ms	(cbrt z)
351.0ms	(cbrt z)
282.0ms	(cbrt z)

simplify5.4s

Counts

93 → 93

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune407.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

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))

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series639.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
131.0ms	(cbrt (sin y))
144.0ms	(cbrt (sin y))
157.0ms	(cbrt (sin y))

simplify2.6s

Counts

93 → 93

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	423	564
3	1308	541
done	5001	533

prune457.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

9.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))
2.0ms	(cbrt (cbrt (sin y)))
2.0ms	(cbrt (cbrt (sin y)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (sin y))
140.0ms	(cbrt (cbrt (sin y)))
153.0ms	(cbrt (cbrt (sin y)))
147.0ms	(cbrt (cbrt (sin y)))

simplify1.4s

Counts

73 → 73

Iterations

Useful iterations: 4 (386.0ms)

Iter	Nodes	Cost
0	60	547
1	119	528
2	240	486
3	513	474
4	1511	470
done	5001	470

prune364.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes183.0ms

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: 0 (0.0ms)

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

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	1529×	body	1280	valid
1.0s	4285×	body	80	valid
680.0ms	1232×	body	640	valid
658.0ms	615×	body	320	valid
129.0ms	339×	body	160	valid