Details

sample142.0ms

Algorithm

intervals

Results

44.0ms	45×	body	640	valid
42.0ms	45×	body	1280	valid
16.0ms	123×	body	80	valid
12.0ms	30×	body	320	valid
4.0ms	13×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.2b	(* 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))

series179.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(fma x (cos y) (* z (sin y)))
69.0ms	(* z (sin y))

simplify3.9s

Counts

36 → 36

Iterations

Useful iterations: 2 (39.0ms)

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

prune212.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

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)

rewrite33.0ms

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:

24.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt z) (cbrt z))
338.0ms	(cbrt z)
272.0ms	(cbrt z)
354.0ms	(cbrt z)

simplify4.9s

Counts

93 → 93

Iterations

Useful iterations: done (4.9s)

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

prune451.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite33.0ms

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:

25.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
141.0ms	(cbrt (sin y))
126.0ms	(cbrt (sin y))
143.0ms	(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

prune468.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

48.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))
10.0ms	(cbrt (* z (sin y)))

series816.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
202.0ms	(cbrt (* z (sin y)))
169.0ms	(cbrt (* z (sin y)))
181.0ms	(cbrt (* z (sin y)))

simplify3.6s

Counts

78 → 78

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	91	850
1	194	773
2	478	689
3	1256	593
4	3964	531
done	5000	494

prune406.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

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

sample4.0s

Algorithm

intervals

Results

1.2s	1519×	body	1280	valid
1.2s	4369×	body	80	valid
761.0ms	1197×	body	640	valid
336.0ms	600×	body	320	valid
75.0ms	315×	body	160	valid