Details

sample81.0ms

Algorithm

intervals

Results

50.0ms	274×	body	80	valid
13.0ms	80×	body	80	nan

simplify275.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize140.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
1.0b	(- (* b b) (* (* 4 a) c))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

25.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(- (* b b) (* (* 4 a) c))
7.0ms	(- (* b b) (* (* 4 a) c))

series373.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
74.0ms	(- (* b b) (* (* 4 a) c))
66.0ms	(- (* b b) (* (* 4 a) c))

simplify578.0ms

Counts: 70 → 70

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.6b

localize152.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
11.4b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite39.0ms

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

14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
105.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
100.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify812.0ms

Counts: 74 → 74

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize169.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
21.4b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

Slowest

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

series506.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
133.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
115.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
113.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

simplify750.0ms

Counts: 70 → 70

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize204.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
21.4b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

Slowest

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

series448.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
117.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
111.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
102.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify760.0ms

Counts: 70 → 70

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.1b

regimes444.0ms

Accuracy

92.9% (0.9b remaining)

Error of 7.1b against oracle of 6.2b and baseline of 18.8b

bsearch412.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.2s	8715×	body	80	valid
559.0ms	2811×	body	80	nan