Details

sample129.0ms

Algorithm

intervals

Results

75.0ms	290×	body	80	valid
22.0ms	97×	body	80	nan

simplify286.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize176.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
1.1b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.8b	(- (* b b) (* (* 4 a) c))

rewrite54.0ms

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

20.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))

series368.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
107.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
80.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
67.0ms	(- (* b b) (* (* 4 a) c))

simplify938.0ms

Counts: 76 → 76

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.3b

localize167.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
11.4b	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite46.0ms

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

16.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
105.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
104.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
85.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify915.0ms

Counts: 76 → 76

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.3b

localize196.0ms

Local error

Found 4 expressions with local error:

23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
10.1b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite56.0ms

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

22.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
113.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
112.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
108.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts: 74 → 74

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.3b

localize172.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.0b	(sqrt (- (* b b) (* (* 4 a) c)))
8.4b	(+ (- 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` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3--` `sqrt-prod` `flip--`
2×	`sum-log` `pow1/3` `sqrt-div`
1×	`neg-sub0` `+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `neg-log` `associate-+l-` `flip-+`

Counts

4 → 58

Calls

4 calls:

Slowest

11.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))
6.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
123.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
111.0ms	(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))
90.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.0s

Counts: 70 → 70

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.3b

regimes388.0ms

Accuracy

82.2% (2.3b remaining)

Error of 8.7b against oracle of 6.3b and baseline of 19.5b

bsearch341.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.3s	8684×	body	80	valid
522.0ms	2788×	body	80	nan