Details

sample98.0ms

Algorithm

intervals

Results

23.0ms	176×	body	80	valid
22.0ms	24×	body	1280	valid
17.0ms	29×	body	640	valid
8.0ms	18×	body	320	valid
3.0ms	9×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

75.0ms	(+ (+ x (sin y)) (* z (cos y)))
39.0ms	(+ x (sin y))
20.0ms	(* z (cos y))

series212.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (+ x (sin y)) (* z (cos y)))
50.0ms	(+ x (sin y))
74.0ms	(* z (cos y))

simplify3.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	78	455
1	203	424
2	723	398
3	4088	398
done	5000	398

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))
0.5b	(cbrt (* z (cos y)))

rewrite68.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

41.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
9.0ms	(cbrt (* z (cos y)))
8.0ms	(cbrt (* z (cos y)))
8.0ms	(cbrt (* z (cos y)))

series868.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
209.0ms	(cbrt (* z (cos y)))
206.0ms	(cbrt (* z (cos y)))
204.0ms	(cbrt (* z (cos y)))

simplify829.0ms

Counts

70 → 70

Iterations

Useful iterations: done (826.0ms)

Iter	Nodes	Cost
0	81	744
1	201	662
2	864	583
done	5000	543

prune680.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1/3`
9×	`pow1` `add-exp-log`
7×	`cbrt-prod` `pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`associate-l` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 52

Calls

4 calls:

57.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
7.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
237.0ms	(cbrt (* z (cos y)))
222.0ms	(cbrt (* z (cos y)))
338.0ms	(cbrt z)

simplify4.3s

Counts

64 → 64

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	97	621
1	224	594
2	817	530
3	4995	509
done	5001	509

prune619.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
24×	`pow-prod-down`
16×	`add-exp-log`
15×	`pow1/3`
8×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow-sqr` `pow-prod-up`
4×	`add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 68

Calls

4 calls:

76.0ms	(* (* (cbrt z) (cbrt (cos y))) (* (cbrt z) (cbrt (cos y))))
7.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (* (cbrt z) (cbrt (cos y))) (* (cbrt z) (cbrt (cos y))))
239.0ms	(cbrt (* z (cos y)))
370.0ms	(cbrt z)
344.0ms	(cbrt z)

simplify818.0ms

Counts

80 → 80

Iterations

Useful iterations: done (815.0ms)

Iter	Nodes	Cost
0	100	715
1	240	619
2	908	502
done	5000	479

prune508.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1025×	body	1280	valid
986.0ms	5592×	body	80	valid
563.0ms	788×	body	640	valid
151.0ms	384×	body	320	valid
104.0ms	211×	body	160	valid