Details

sample53.0ms

Algorithm

intervals

Results

28.0ms	279×	body	80	valid
5.0ms	90×	body	80	nan

simplify201.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.2b

localize133.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* b b) (* (* 4.0 a) c))
1.1b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `distribute-rgt-neg-in` `flip3-+` `diff-log` `neg-log` `flip-+`

Counts

4 → 57

Calls

4 calls:

12.0ms	(- (* b b) (* (* 4.0 a) c))
34.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* b b) (* (* 4.0 a) c))
87.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
93.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
91.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.3s

Counts: 69 → 69

prune455.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize132.0ms

Local error

Found 4 expressions with local error:

11.8b	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-div`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`diff-log`
1×	`associate--l-` `neg-sub0` `sub-neg` `neg-log` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

24.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
21.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
25.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
19.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
81.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
132.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
131.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.8s

Counts: 72 → 72

prune545.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.2b

localize120.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`sqrt-div`
4×	`add-exp-log` `add-cbrt-cube`
3×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--`
2×	`sum-log` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `distribute-rgt-neg-in` `flip3-+` `neg-log` `flip-+`

Counts

4 → 60

Calls

4 calls:

24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
116.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
118.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
97.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.9s

Counts: 72 → 72

prune596.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.2b

localize156.0ms

Local error

Found 4 expressions with local error:

22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
23.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))
23.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

13.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
11.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
114.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
135.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
134.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify1.3s

Counts: 68 → 68

prune673.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.2b

regimes204.0ms

Accuracy

91.7% (1.0b remaining)

Error of 8.6b against oracle of 7.6b and baseline of 19.8b

bsearch257.0ms

Steps

Iters	Range		Point
8	1.8560558009645164e+92	4.334214702125778e+95	2.3048178024273428e+95
7	-3.0274963370552617e+133	-1.485581033519284e+131	-1.8372731572661624e+132

simplify1.9s

end0.0ms

sample2.1s

Algorithm

intervals

Results

895.0ms	8746×	body	80	valid
714.0ms	2965×	body	80	nan