Details

sample120.0ms

Algorithm

intervals

Results

69.0ms	276×	body	80	valid
20.0ms	92×	body	80	nan

simplify269.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize143.0ms

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))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `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`

Counts

4 → 58

Calls

4 calls:

Slowest

20.0ms	(- (* b b) (* (* 4 a) c))
16.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms	(- (* b b) (* (* 4 a) c))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
96.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
64.0ms	(- (* b b) (* (* 4 a) c))
64.0ms	(- (* b b) (* (* 4 a) c))

simplify596.0ms

Counts: 70 → 70

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.7b

localize155.0ms

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))))))

rewrite60.0ms

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

series479.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
128.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
113.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
107.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify774.0ms

Counts: 74 → 74

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.8b

localize184.0ms

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)))

rewrite53.0ms

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

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

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
125.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
106.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
92.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.7s

Counts: 76 → 76

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.8b

localize149.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
6.1b	(/ (* a c) b)
3.2b	(/ (* 2 c) (- (- b) (- b (* 2 (/ (* a c) b)))))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

Slowest

46.0ms	(/ (* 2 c) (- (- b) (- b (* 2 (/ (* a c) b)))))
18.0ms	(- (* b b) (* (* 4 a) c))
16.0ms	(/ (* a c) b)
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

260.0ms	(/ (* 2 c) (- (- b) (- b (* 2 (/ (* a c) b)))))
93.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
61.0ms	(- (* b b) (* (* 4 a) c))
27.0ms	(/ (* a c) b)

simplify2.8s

Counts: 93 → 93

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

regimes523.0ms

Accuracy

91.1% (1.2b remaining)

Error of 6.9b against oracle of 5.7b and baseline of 19.3b

bsearch346.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.4s	8746×	body	80	valid
618.0ms	2909×	body	80	nan