Details

sample97.0ms

Algorithm

intervals

Results

25.0ms	37×	body	2560	valid
22.0ms	185×	body	80	valid
18.0ms	32×	body	1280	valid
9.0ms	85×	body	80	nan
4.0ms	9×	body	640	valid
2.0ms	4×	body	320	valid
1.0ms	3×	body	160	valid

simplify140.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize19.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
1.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.8b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

Slowest

34.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
24.0ms	(* (* 3 a) c)
13.0ms	(- (* b b) (* (* 3 a) c))
13.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
110.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
55.0ms	(- (* b b) (* (* 3 a) c))
36.0ms	(* (* 3 a) c)

simplify1.3s

Counts: 76 → 76

prune877.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.6b

localize48.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
9.5b	(- (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) b)
0.8b	(- (* b b) (* (* 3 a) c))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`
1×	`difference-of-squares`

Counts

4 → 59

Calls

4 calls:

Slowest

46.0ms	(- (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) b)
12.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
10.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
10.0ms	(- (* b b) (* (* 3 a) c))

series367.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(- (* (sqrt (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3 a) c))))) b)
105.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
80.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
75.0ms	(- (* b b) (* (* 3 a) c))

simplify901.0ms

Counts: 71 → 71

prune797.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 11.6b

localize59.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
22.8b	(sqrt (- (* b b) (* (* 3 a) c)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

Slowest

13.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
106.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
104.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
84.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

simplify2.4s

Counts: 76 → 76

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.6b

localize45.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
1.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
1.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

Slowest

52.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
49.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
18.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
12.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

115.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
115.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
105.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
83.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

simplify641.0ms

Counts: 76 → 76

prune823.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 11.5b

regimes686.0ms

Accuracy

86.1% (3.0b remaining)

Error of 15.4b against oracle of 12.4b and baseline of 34.0b

bsearch173.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.6s	1086×	body	2560	valid
757.0ms	5830×	body	80	valid
639.0ms	935×	body	1280	valid
429.0ms	2952×	body	80	nan
200.0ms	454×	body	640	valid
91.0ms	112×	body	5120	valid
69.0ms	215×	body	320	valid
47.0ms	100×	body	160	valid