Details

sample196.0ms

Algorithm

intervals

Results

72.0ms	151×	body	160	valid
33.0ms	230×	body	80	nan
31.0ms	486×	pre	80	true
23.0ms	53×	body	320	valid
7.0ms	52×	body	80	valid

simplify146.0ms

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.5b

localize53.0ms

Local error

Found 4 expressions with local error:

37.9b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
0.1b	(- (* b b) (* (* 4 a) c))
0.1b	(sqrt (- (* b b) (* (* 4 a) c)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`fma-def` `add-cube-cbrt` `add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-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*` `neg-mul-1` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `div-sub` `prod-diff` `neg-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 94

Calls

4 calls:

Slowest

55.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
30.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
107.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
99.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
54.0ms	(- (* b b) (* (* 4 a) c))

simplify472.0ms

Counts: 110 → 106

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.5b

localize11.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune80.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* -2 (/ (* a c) b)) (* 2 a))
0.2b	(/ (* a c) b)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 57

Calls

2 calls:

Slowest

33.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
18.0ms	(/ (* a c) b)

series72.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

39.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
33.0ms	(/ (* a c) b)

simplify570.0ms

Counts: 69 → 63

prune637.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(expm1 (log1p (/ (* a c) b)))
0.3b	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
0.2b	(/ (* a c) b)
0.1b	(log1p (/ (* a c) b))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
5×	`expm1-log1p-u` `prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `times-frac` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 72

Calls

4 calls:

Slowest

25.0ms	(/ (* a c) b)
15.0ms	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
1.0ms	(log1p (/ (* a c) b))
0.0ms	(expm1 (log1p (/ (* a c) b)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(expm1 (log1p (/ (* a c) b)))
106.0ms	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
75.0ms	(log1p (/ (* a c) b))
23.0ms	(/ (* a c) b)

simplify518.0ms

Counts: 88 → 84

prune701.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.4b

regimes601.0ms

Accuracy

28.8% (4.7b remaining)

Error of 9.8b against oracle of 5.2b and baseline of 11.7b

bsearch10.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.5s	4897×	body	160	valid
1.2s	8429×	body	80	nan
1.1s	16429×	pre	80	true
607.0ms	1359×	body	320	valid
224.0ms	1744×	body	80	valid