Details

sample114.0ms

Algorithm

intervals

Results

73.0ms	283×	body	80	valid
16.0ms	96×	body	80	nan

simplify341.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize176.0ms

Local error

Found 4 expressions with local error:

21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0b	(- (* b b) (* (* 4 a) c))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--`
3×	`diff-log`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 64

Calls

4 calls:

Slowest

30.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms	(- (* b b) (* (* 4 a) c))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
107.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
105.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
65.0ms	(- (* b b) (* (* 4 a) c))

simplify883.0ms

Counts: 76 → 76

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize159.0ms

Local error

Found 4 expressions with local error:

21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
10.3b	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `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 → 64

Calls

4 calls:

Slowest

13.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
117.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
101.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
94.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify820.0ms

Counts: 76 → 76

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.5b

localize155.0ms

Local error

Found 4 expressions with local error:

21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
8.6b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--`
2×	`sum-log`
1×	`neg-sub0` `+-commutative` `flip3-+` `neg-log` `associate-+l-` `flip-+`

Counts

4 → 62

Calls

4 calls:

Slowest

24.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
13.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
13.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
127.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
102.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify905.0ms

Counts: 74 → 74

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.6b

localize155.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (- (* b b) (* (* 4 a) c)))
22.2b	(cbrt (- (* b b) (* (* 4 a) c)))
21.5b	(sqrt (- (* b b) (* (* 4 a) c)))
10.3b	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1`
4×	`cbrt-div` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`sqrt-prod`
2×	`pow1/3` `sqrt-div` `diff-log`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `neg-log`

Counts

4 → 59

Calls

4 calls:

Slowest

17.0ms	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
140.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
105.0ms	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))
100.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.9s

Counts: 71 → 71

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.6b

regimes365.0ms

Accuracy

90.7% (1.3b remaining)

Error of 6.9b against oracle of 5.6b and baseline of 19.6b

bsearch263.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.2s	8750×	body	80	valid
481.0ms	2935×	body	80	nan