Details

sample124.0ms

Algorithm

intervals

Results

37.0ms	40×	body	1280	valid
26.0ms	43×	body	640	valid
19.0ms	139×	body	80	valid
10.0ms	23×	body	320	valid
3.0ms	11×	body	160	valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

22.0ms	(- (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
19.0ms	(* x (cos y))

series289.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* x (cos y)) (* z (sin y)))
73.0ms	(* z (sin y))
82.0ms	(* x (cos y))

simplify3.6s

Counts

65 → 65

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	92	527
1	203	495
2	636	460
3	3467	459
done	5001	453

prune530.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

1.0ms	(fma x (cos y) (* (- (sin y)) z))
30.0ms	(* (- (sin y)) z)

series217.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(fma x (cos y) (* (- (sin y)) z))
75.0ms	(* (- (sin y)) z)

simplify850.0ms

Counts

44 → 44

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	61	351
1	133	343
2	629	307
done	5001	307

prune443.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite40.0ms

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:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series920.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
202.0ms	(cbrt (cos y))
192.0ms	(cbrt (cos y))
195.0ms	(cbrt (cos y))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	637	551
done	5001	537

prune850.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (cos y))
199.0ms	(cbrt (cos y))
197.0ms	(cbrt (cos y))
428.0ms	(expm1 (cbrt (cos y)))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	51	379
1	106	357
2	327	322
3	1259	313
done	5001	308

prune567.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes491.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	16	20
done	16	20

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.3s	1545×	body	1280	valid
1.5s	1234×	body	640	valid
799.0ms	4293×	body	80	valid
335.0ms	599×	body	320	valid
96.0ms	329×	body	160	valid