Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	308×	body	80	valid
2.0ms	12×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify134.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
24.0ms	(* (- y x) 6.0)
22.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
92.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series200.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ 2.0 3.0) z)
41.0ms	(* (- y x) 6.0)
75.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
54.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify70.0ms

Counts: 97 → 97

prune252.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
54.0ms	(* 6.0 (- (/ 2.0 3.0) z))
15.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
79.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
41.0ms	(* 6.0 (- (/ 2.0 3.0) z))
69.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
52.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify41.0ms

Counts: 109 → 109

prune226.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

rewrite43.0ms

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:

30.0ms	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
3.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
3.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
4.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series2.9s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
606.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
645.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
590.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify56.0ms

Counts: 99 → 99

prune434.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 6.0 (* x z)) (* 4.0 y))
0.0b	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
0.3b	(* 6.0 (* x z))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

26.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
137.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
24.0ms	(* 6.0 (* x z))

series160.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* 6.0 (* x z)) (* 4.0 y))
67.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
31.0ms	(* 6.0 (* x z))

simplify125.0ms

Counts: 52 → 52

prune93.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify149.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

615.0ms	9460×	body	80	valid
109.0ms	263×	body	640	valid
60.0ms	198×	body	320	valid
34.0ms	145×	body	1280	valid
11.0ms	113×	body	160	valid