Details

sample124.0ms

Algorithm

intervals

Results

57.0ms	287×	body	80	valid
17.0ms	93×	body	80	nan

simplify265.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize186.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b b) (* (* 4 a) c)))
24.8b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite70.0ms

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

23.0ms	(- (* b b) (* (* 4 a) c))
20.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
17.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(- (* b b) (* (* 4 a) c))

series368.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
72.0ms	(- (* b b) (* (* 4 a) c))
57.0ms	(- (* b b) (* (* 4 a) c))

simplify632.0ms

Counts: 70 → 70

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.8b

localize171.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b b) (* (* 4 a) c)))
6.1b	(/ (* a c) b)
4.3b	(/ (- (- b) (- b (* 2 (/ (* a c) b)))) (* 2 a))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
9×	`times-frac` `add-cube-cbrt`
7×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `associate-/r*` `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` `cbrt-unprod` `div-inv` `difference-of-squares` `associate-/l/`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub`

Counts

4 → 82

Calls

4 calls:

Slowest

45.0ms	(/ (- (- b) (- b (* 2 (/ (* a c) b)))) (* 2 a))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms	(/ (* a c) b)
9.0ms	(- (* b b) (* (* 4 a) c))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
71.0ms	(/ (- (- b) (- b (* 2 (/ (* a c) b)))) (* 2 a))
55.0ms	(- (* b b) (* (* 4 a) c))
23.0ms	(/ (* a c) b)

simplify2.6s

Counts: 94 → 94

prune2.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize139.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.1b	(/ (* 2 c) (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

Slowest

69.0ms	(/ (* 2 c) (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
32.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
16.0ms	(- (* b b) (* (* 4 a) c))
10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(/ (* 2 c) (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
122.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
108.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
60.0ms	(- (* b b) (* (* 4 a) c))

simplify2.0s

Counts: 85 → 85

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize181.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b b) (* (* 4 a) c)))
4.3b	(/ (- (- b) (- b (* 2 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))) (* 2 a))
4.1b	(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
34×	`times-frac`
30×	`*-un-lft-identity` `add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-r` `add-cube-cbrt`
11×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`pow1` `associate-l`
6×	`associate-/l*` `add-log-exp` `unswap-sqr`
4×	`insert-posit16` `distribute-lft-out--`
3×	`flip3--` `sqrt-prod` `div-inv` `flip--`
2×	`distribute-rgt-neg-in` `sqrt-div` `difference-of-squares` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `-commutative`

Counts

4 → 120

Calls

4 calls:

Slowest

57.0ms	(/ (- (- b) (- b (* 2 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))) (* 2 a))
46.0ms	(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms	(- (* b b) (* (* 4 a) c))

series371.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
102.0ms	(/ (- (- b) (- b (* 2 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))) (* 2 a))
81.0ms	(- (* b b) (* (* 4 a) c))
75.0ms	(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))

simplify1.0s

Counts: 132 → 132

prune2.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.4b

regimes605.0ms

Accuracy

91.5% (1.2b remaining)

Error of 7.8b against oracle of 6.5b and baseline of 20.9b

bsearch336.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.0s	8770×	body	80	valid
573.0ms	2917×	body	80	nan