Details

sample85.0ms

Algorithm

intervals

Results

46.0ms	279×	body	80	valid
9.0ms	90×	body	80	nan

simplify141.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize128.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* b b) (* (* 4.0 a) c))
1.1b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `distribute-rgt-neg-in` `flip3-+` `diff-log` `neg-log` `flip-+`

Counts

4 → 57

Calls

4 calls:

10.0ms	(- (* b b) (* (* 4.0 a) c))
41.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
18.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* b b) (* (* 4.0 a) c))
106.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
105.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
118.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.1s

Counts: 69 → 69

prune447.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 7.2b

localize151.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

22.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
13.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
98.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
118.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
113.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.9s

Counts: 72 → 72

prune584.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.2b

localize162.0ms

Local error

Found 4 expressions with local error:

6.9b	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
21.9b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.8b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.8b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

25.0ms	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
16.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
11.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
96.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
160.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
141.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify800.0ms

Counts: 67 → 67

prune593.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.2b

localize164.0ms

Local error

Found 4 expressions with local error:

22.8b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.8b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.8b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.8b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
6.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
6.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
6.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
116.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
179.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))
185.0ms	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify1.1s

Counts: 64 → 64

prune618.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.2b

regimes299.0ms

Accuracy

92.9% (0.9b remaining)

Error of 8.5b against oracle of 7.7b and baseline of 19.9b

bsearch337.0ms

Steps

Iters	Range		Point
7	5.277364304665661e+152	2.835621725431429e+154	6.131412783531558e+152
9	-3.494733358578083e+156	-1.1278306941613648e+148	-5.209416901218326e+153

simplify1.2s

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s	8754×	body	80	valid
347.0ms	2968×	body	80	nan