Details

sample177.0ms

Algorithm

intervals

Results

60.0ms	44×	body	2560	valid
34.0ms	179×	body	80	valid
28.0ms	31×	body	1280	valid
16.0ms	92×	body	80	nan
8.0ms	11×	body	640	valid
4.0ms	3×	body	5120	valid
2.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify136.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize53.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

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` `times-frac` `associate-/l*`
4×	`insert-posit16`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `flip3--` `sqrt-div` `div-exp` `associate-+l-` `flip-+` `flip--` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `associate-/r*` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 74

Calls

4 calls:

Slowest

66.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
27.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms	(- (* b b) (* (* 4 a) c))
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
111.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
90.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
77.0ms	(- (* b b) (* (* 4 a) c))

simplify2.1s

Counts: 86 → 86

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.2b	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

Slowest

90.0ms	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))
26.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
17.0ms	(- (* b b) (* (* 4 a) c))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))
116.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
107.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
69.0ms	(- (* b b) (* (* 4 a) c))

simplify748.0ms

Counts: 96 → 96

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize48.0ms

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))

rewrite43.0ms

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

17.0ms	(- (* b b) (* (* 4 a) c))
11.0ms	(- (* b b) (* (* 4 a) c))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

104.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
95.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
60.0ms	(- (* b b) (* (* 4 a) c))
58.0ms	(- (* b b) (* (* 4 a) c))

simplify572.0ms

Counts: 70 → 70

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

localize88.0ms

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)))

rewrite34.0ms

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

11.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
110.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
97.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.6s

Counts: 76 → 76

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

regimes625.0ms

Accuracy

84.2% (4.4b remaining)

Error of 10.2b against oracle of 5.8b and baseline of 33.8b

bsearch217.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.3s	5828×	body	80	valid
1.1s	1094×	body	2560	valid
813.0ms	903×	body	1280	valid
706.0ms	466×	body	640	valid
395.0ms	2909×	body	80	nan
171.0ms	122×	body	5120	valid
92.0ms	234×	body	320	valid
29.0ms	99×	body	160	valid