Details

sample120.0ms

Algorithm

intervals

Results

35.0ms	48×	body	1280	valid
17.0ms	36×	body	640	valid
14.0ms	132×	body	80	valid
8.0ms	25×	body	320	valid
3.0ms	15×	body	160	valid

simplify50.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize497.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

50.0ms	(+ (* x (sin y)) (* z (cos y)))
42.0ms	(* z (cos y))
48.0ms	(* x (sin y))

series376.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(+ (* x (sin y)) (* z (cos y)))
108.0ms	(* z (cos y))
87.0ms	(* x (sin y))

simplify4.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5008
3	1933
2	549
1	208
0	90

prune959.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize154.0ms

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))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

56.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
4.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))

series943.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
195.0ms	(cbrt (cos y))
213.0ms	(cbrt (cos y))
205.0ms	(cbrt (cos y))

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1094
2	380
1	152
0	70

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize166.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

132.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
44.0ms	(* (cos y) (cos y))
26.0ms	(cbrt (* (cos y) (cos y)))
7.0ms	(cbrt (cos y))

series636.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
32.0ms	(* (cos y) (cos y))
318.0ms	(cbrt (* (cos y) (cos y)))
219.0ms	(cbrt (cos y))

simplify6.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2780
2	861
1	303
0	122

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize234.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-div` `cos-mult`

Counts

4 → 55

Calls

4 calls:

15.0ms	(cbrt (* (cos y) (cos y)))
4.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))

series963.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (* (cos y) (cos y)))
196.0ms	(cbrt (cos y))
203.0ms	(cbrt (cos y))
206.0ms	(cbrt (cos y))

simplify4.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
4	1888
3	569
2	223
1	106
0	58

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes766.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.5s	1537×	body	1280	valid
1.3s	1346×	body	640	valid
663.0ms	4192×	body	80	valid
397.0ms	592×	body	320	valid
93.0ms	333×	body	160	valid