Details

sample67.0ms

Algorithm

intervals

Results

38.0ms	282×	body	80	valid
11.0ms	96×	body	80	nan

simplify350.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize193.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
1.1b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.8b	(- (* b b) (* (* 4 a) c))

rewrite73.0ms

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

32.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
17.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))

series411.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
102.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
81.0ms	(- (* b b) (* (* 4 a) c))

simplify903.0ms

Counts: 76 → 76

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.9b

localize185.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
13.3b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite35.0ms

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

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

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
120.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
106.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
104.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify933.0ms

Counts: 74 → 74

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.9b

localize214.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
23.8b	(cbrt (- (* b b) (* (* 4 a) c)))
22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
10.6b	(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))

rewrite41.0ms

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

12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
8.0ms	(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
127.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
103.0ms	(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4 a) c))))))
100.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.9s

Counts: 70 → 70

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.9b

localize188.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b b) (* (* 4 a) c)))
5.0b	(/ (* 2 (- (/ (* a c) b) b)) (* 2 a))
3.7b	(/ (* a c) b)
1.1b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `prod-exp` `cbrt-unprod`
4×	`associate-/r*` `times-frac` `sqrt-prod` `insert-posit16`
3×	`flip3--` `flip--`
2×	`clear-num` `frac-2neg` `sqrt-div` `diff-log` `associate-r/` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `sub-neg` `distribute-rgt-neg-in` `sqrt-pow1` `pow1/2` `neg-log`

Counts

4 → 81

Calls

4 calls:

Slowest

44.0ms	(/ (* 2 (- (/ (* a c) b) b)) (* 2 a))
30.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
23.0ms	(/ (* a c) b)
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
107.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
87.0ms	(/ (* 2 (- (/ (* a c) b) b)) (* 2 a))
35.0ms	(/ (* a c) b)

simplify727.0ms

Counts: 93 → 93

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.6b

regimes451.0ms

Accuracy

86.6% (1.8b remaining)

Error of 7.3b against oracle of 5.4b and baseline of 19.2b

bsearch329.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.3s	8744×	body	80	valid
597.0ms	2799×	body	80	nan