Details

sample91.0ms

Algorithm

intervals

Results

53.0ms	275×	body	80	valid
14.0ms	87×	body	80	nan

simplify237.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize198.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 4 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4 a) c)))
2.0b	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.3b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16`
3×	`flip3--` `flip--`
2×	`neg-sub0` `rem-sqrt-square` `sum-log` `distribute-rgt-neg-in` `sqrt-pow1` `pow1/2` `diff-log` `neg-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `+-commutative` `sub-neg` `flip3-+` `associate-+l-` `flip-+`

Counts

4 → 67

Calls

4 calls:

Slowest

17.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
17.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

469.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
138.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
107.0ms	(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
92.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify929.0ms

Counts: 79 → 79

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.9b

localize143.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 4 a) c)))
3.4b	(/ (* 2 (- (* (/ a b) c) b)) (* 2 a))
3.2b	(* (/ a b) c)
0.3b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

Slowest

38.0ms	(/ (* 2 (- (* (/ a b) c) b)) (* 2 a))
16.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
11.0ms	(* (/ a b) c)
11.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
85.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
54.0ms	(/ (* 2 (- (* (/ a b) c) b)) (* 2 a))
41.0ms	(* (/ a b) c)

simplify797.0ms

Counts: 101 → 101

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize135.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 4 a) c)))
0.3b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.2b	(- (* b b) (* (* 4 a) c))
0.1b	(/ (* 2 c) (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))))

rewrite122.0ms

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

65.0ms	(/ (* 2 c) (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
27.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
15.0ms	(- (* b b) (* (* 4 a) c))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

283.0ms	(/ (* 2 c) (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))))
126.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
126.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
63.0ms	(- (* b b) (* (* 4 a) c))

simplify2.2s

Counts: 85 → 85

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize155.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (+ (* b b) (* (* a c) -4)))
0.3b	(- (sqrt (+ (* b b) (* (* a c) -4))) b)
0.2b	(/ 2 (/ (- (sqrt (+ (* b b) (* (* a c) -4))) b) c))
0.2b	(+ (* b b) (* (* a c) -4))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/r*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`pow1` `div-inv`
4×	`insert-posit16`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`flip3-+` `sqrt-div` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `associate-/r/` `flip--`

Counts

4 → 151

Calls

4 calls:

Slowest

55.0ms	(- (sqrt (+ (* b b) (* (* a c) -4))) b)
37.0ms	(/ 2 (/ (- (sqrt (+ (* b b) (* (* a c) -4))) b) c))
13.0ms	(sqrt (+ (* b b) (* (* a c) -4)))
8.0ms	(+ (* b b) (* (* a c) -4))

series443.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(/ 2 (/ (- (sqrt (+ (* b b) (* (* a c) -4))) b) c))
103.0ms	(sqrt (+ (* b b) (* (* a c) -4)))
90.0ms	(- (sqrt (+ (* b b) (* (* a c) -4))) b)
61.0ms	(+ (* b b) (* (* a c) -4))

simplify978.0ms

Counts: 163 → 163

prune2.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.8b

regimes440.0ms

Accuracy

92.5% (1.1b remaining)

Error of 7.0b against oracle of 5.9b and baseline of 21.0b

bsearch300.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.3s	8719×	body	80	valid
573.0ms	2867×	body	80	nan