Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

301×

body

valid

simplify487.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`sub-neg` `associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate--l+` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

33.0ms	(* x (- y 1.0))
17.0ms	(- (* x (- y 1.0)) (* y 0.5))

series84.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* x (- y 1.0))
40.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify962.0ms

Counts: 48 → 48

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* x (- 1.0)))
0.0b	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`distribute-rgt-neg-out`
2×	`pow1` `add-exp-log` `associate--l-` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log` `unsub-neg` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

9.0ms	(+ (* x y) (* x (- 1.0)))
47.0ms	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* x y) (* x (- 1.0)))
31.0ms	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))

simplify1.7s

Counts: 36 → 36

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* x (- 1.0)))) (cbrt (+ (* x y) (* x (- 1.0)))))
0.6b	(cbrt (+ (* x y) (* x (- 1.0))))
0.6b	(cbrt (+ (* x y) (* x (- 1.0))))
0.6b	(cbrt (+ (* x y) (* x (- 1.0))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
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 → 93

Calls

4 calls:

67.0ms	(* (cbrt (+ (* x y) (* x (- 1.0)))) (cbrt (+ (* x y) (* x (- 1.0)))))
7.0ms	(cbrt (+ (* x y) (* x (- 1.0))))
7.0ms	(cbrt (+ (* x y) (* x (- 1.0))))
13.0ms	(cbrt (+ (* x y) (* x (- 1.0))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (+ (* x y) (* x (- 1.0)))) (cbrt (+ (* x y) (* x (- 1.0)))))
140.0ms	(cbrt (+ (* x y) (* x (- 1.0))))
163.0ms	(cbrt (+ (* x y) (* x (- 1.0))))
189.0ms	(cbrt (+ (* x y) (* x (- 1.0))))

simplify748.0ms

Counts: 105 → 105

prune455.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
0.0b	(sqrt (* x (- y 1.0)))
0.0b	(sqrt (* x (- y 1.0)))
0.2b	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*r/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

95.0ms	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
12.0ms	(sqrt (* x (- y 1.0)))
8.0ms	(sqrt (* x (- y 1.0)))
72.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
48.0ms	(sqrt (* x (- y 1.0)))
68.0ms	(sqrt (* x (- y 1.0)))
54.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

simplify641.0ms

Counts: 107 → 107

prune314.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

55.2% (0.0b remaining)

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

bsearch0.0ms

simplify561.0ms

end0.0ms

sample883.0ms

Algorithm

intervals

Results

551.0ms	9184×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid