Details

sample74.0ms

Algorithm

intervals

Results

44.0ms	272×	body	80	valid
13.0ms	77×	body	80	nan

simplify312.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize196.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
1.7b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite76.0ms

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

36.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
17.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(- (* b b) (* (* 4 a) c))

series369.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
102.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
92.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
60.0ms	(- (* b b) (* (* 4 a) c))

simplify904.0ms

Counts: 76 → 76

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.8b

localize147.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
8.6b	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite41.0ms

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

14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
111.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
99.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts: 76 → 76

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.8b

localize153.0ms

Local error

Found 4 expressions with local error:

22.4b	(cbrt (- (* b b) (* (* 4 a) c)))
22.4b	(cbrt (- (* b b) (* (* 4 a) c)))
22.4b	(cbrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 93

Calls

4 calls:

Slowest

73.0ms	(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (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)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
133.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
123.0ms	(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
120.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

simplify1.0s

Counts: 105 → 105

prune2.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.8b

localize171.0ms

Local error

Found 4 expressions with local error:

22.4b	(cbrt (- (* b b) (* (* 4 a) c)))
22.4b	(cbrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

Slowest

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

series478.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
125.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
106.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify777.0ms

Counts: 72 → 72

prune1.5s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.8b

regimes456.0ms

Accuracy

94% (0.7b remaining)

Error of 7.3b against oracle of 6.6b and baseline of 19.0b

bsearch312.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.2s	8727×	body	80	valid
512.0ms	2891×	body	80	nan