Details

sample65.0ms

Algorithm

intervals

Results

19.0ms	32×	body	1280	valid
15.0ms	178×	body	80	valid
9.0ms	23×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	10×	body	160	valid

simplify10.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.2b	(* z (sin y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

62.0ms	(- (+ x (cos y)) (* z (sin y)))
33.0ms	(* z (sin y))

series133.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- (+ x (cos y)) (* z (sin y)))
64.0ms	(* z (sin y))

simplify47.0ms

Counts: 38 → 38

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
0.5b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.5b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.5b	(cbrt (- (+ x (cos y)) (* z (sin y))))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

216.0ms	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
27.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
35.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
20.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
280.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
274.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
299.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

simplify77.0ms

Counts: 99 → 99

prune672.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (cos y)) (cbrt (pow (* z (sin y)) 3)))
0.2b	(* z (sin y))
0.2b	(pow (* z (sin y)) 3)
29.9b	(cbrt (pow (* z (sin y)) 3))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt`
3×	`pow-unpow` `associate-r` `associate-l` `difference-of-squares` `sqr-pow`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `diff-log` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow1/3` `associate--l+` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

58.0ms	(- (+ x (cos y)) (cbrt (pow (* z (sin y)) 3)))
10.0ms	(* z (sin y))
7.0ms	(pow (* z (sin y)) 3)
4.0ms	(cbrt (pow (* z (sin y)) 3))

series242.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (+ x (cos y)) (cbrt (pow (* z (sin y)) 3)))
41.0ms	(* z (sin y))
72.0ms	(pow (* z (sin y)) 3)
55.0ms	(cbrt (pow (* z (sin y)) 3))

simplify30.0ms

Counts: 88 → 88

prune227.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sin y))
0.2b	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
8.9b	(sqrt (* z (sin y)))
8.9b	(sqrt (* z (sin y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

12.0ms	(* z (sin y))
46.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
4.0ms	(sqrt (* z (sin y)))
5.0ms	(sqrt (* z (sin y)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* z (sin y))
56.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
81.0ms	(sqrt (* z (sin y)))
68.0ms	(sqrt (* z (sin y)))

simplify111.0ms

Counts: 101 → 101

prune250.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

773.0ms	1003×	body	1280	valid
696.0ms	835×	body	640	valid
577.0ms	5578×	body	80	valid
98.0ms	375×	body	320	valid
53.0ms	208×	body	160	valid
2.0ms	1×	body	2560	valid