Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	276×	body	80	valid
10.0ms	92×	body	80	nan

simplify181.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize156.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 70

Calls

4 calls:

Slowest

14.0ms	(- (* b b) (* (* 4 a) c))
14.0ms	(- (* b b) (* (* 4 a) c))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
74.0ms	(- (* b b) (* (* 4 a) c))
71.0ms	(- (* b b) (* (* 4 a) c))

simplify590.0ms

Counts: 82 → 82

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.7b

localize174.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
10.8b	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`fma-def` `*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1`
6×	`sqrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `rem-sqrt-square` `distribute-rgt-neg-in` `sqrt-pow1` `flip3--` `pow1/2` `flip--`
2×	`sum-log`
1×	`neg-sub0` `+-commutative` `neg-mul-1` `flip3-+` `neg-log` `associate-+l-` `flip-+`

Counts

4 → 80

Calls

4 calls:

Slowest

25.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
121.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
120.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
112.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.1s

Counts: 92 → 92

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.7b

localize179.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

Slowest

18.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
97.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
92.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
84.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.7s

Counts: 84 → 84

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.7b

localize193.0ms

Local error

Found 4 expressions with local error:

26.3b	(cbrt (- (* b b) (* (* 4 a) c)))
26.3b	(cbrt (- (* b b) (* (* 4 a) c)))
26.3b	(cbrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 66

Calls

4 calls:

Slowest

9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
6.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
136.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
128.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
88.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify801.0ms

Counts: 78 → 78

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.7b

regimes555.0ms

Accuracy

92.7% (1.0b remaining)

Error of 6.7b against oracle of 5.7b and baseline of 19.5b

bsearch371.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	8746×	body	80	valid
1.0s	2909×	body	80	nan