Details

sample95.0ms

Algorithm

intervals

Results

57.0ms	283×	body	80	valid
15.0ms	79×	body	80	nan

simplify299.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize132.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
1.7b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite72.0ms

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

29.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms	(- (* b b) (* (* 4 a) c))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
120.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
93.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
63.0ms	(- (* b b) (* (* 4 a) c))

simplify1.0s

Counts: 76 → 76

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.8b

localize190.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
7.7b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite61.0ms

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

15.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
120.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
108.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
107.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify934.0ms

Counts: 74 → 74

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.6b

localize141.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
11.5b	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite381.0ms

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

339.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
105.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
103.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
102.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify838.0ms

Counts: 76 → 76

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.6b

localize183.0ms

Local error

Found 4 expressions with local error:

21.4b	(cbrt (- (* b b) (* (* 4 a) c)))
21.4b	(cbrt (- (* b b) (* (* 4 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4 a) c)))
20.7b	(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)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
140.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
89.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify804.0ms

Counts: 72 → 72

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.6b

regimes508.0ms

Accuracy

94.3% (0.8b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 19.1b

bsearch295.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.4s	8780×	body	80	valid
545.0ms	2903×	body	80	nan