Details

sample116.0ms

Algorithm

intervals

Results

67.0ms	280×	body	80	valid
20.0ms	93×	body	80	nan

simplify285.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.6b

localize141.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0b	(- (* b b) (* (* 4 a) c))

rewrite62.0ms

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

29.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(- (* b b) (* (* 4 a) c))

series434.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
124.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
60.0ms	(- (* b b) (* (* 4 a) c))

simplify1.0s

Counts: 76 → 76

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.5b

localize177.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
10.8b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite55.0ms

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

21.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
99.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
90.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts: 74 → 74

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.6b

localize152.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
8.4b	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))

rewrite42.0ms

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

23.0ms	(- (- 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)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
152.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
120.0ms	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))
99.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.8s

Counts: 71 → 71

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.6b

localize176.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.8b	(cbrt (- (* b b) (* (* 4 a) c)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

6.0ms	(cbrt (- (* 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)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
150.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
139.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
118.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

simplify3.3s

Counts: 68 → 68

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.6b

regimes308.0ms

Accuracy

90% (1.4b remaining)

Error of 7.0b against oracle of 5.5b and baseline of 19.8b

bsearch326.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.4s	8746×	body	80	valid
529.0ms	2933×	body	80	nan