Details

sample168.0ms

Algorithm

intervals

Results

51.0ms	329×	body	80	nan
40.0ms	149×	body	160	valid
34.0ms	585×	pre	80	true
14.0ms	107×	body	80	valid

simplify106.0ms

Counts: 1 → 1

prune366.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize24.0ms

Local error

Found 4 expressions with local error:

29.0b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.3b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.3b	(- (* b b) (* (* c a) 4))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

Slowest

92.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
57.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
11.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
114.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
78.0ms	(sqrt (- (* b b) (* (* c a) 4)))
67.0ms	(- (* b b) (* (* c a) 4))

simplify1.7s

Counts: 88 → 88

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.9b

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

prune75.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.9b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 53

Calls

2 calls:

Slowest

20.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
9.0ms	(/ (* a c) b)

series44.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

23.0ms	(/ (* a c) b)
21.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify557.0ms

Counts: 59 → 59

prune585.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (* a c) (/ 1 b))
0.3b	(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-exp-log`
70×	`add-cbrt-cube`
64×	`prod-exp`
34×	`cbrt-unprod`
32×	`div-exp`
18×	`cbrt-undiv`
13×	`associate-r`
10×	`times-frac`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`rec-exp` `1-exp`
4×	`associate-*r/`
3×	`pow-prod-down`
2×	`un-div-inv` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `associate-/l*`

Counts

2 → 87

Calls

2 calls:

Slowest

64.0ms	(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))
28.0ms	(* (* a c) (/ 1 b))

series69.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

35.0ms	(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))
34.0ms	(* (* a c) (/ 1 b))

simplify1.0s

Counts: 93 → 93

prune805.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 8.9b

regimes549.0ms

Accuracy

45.7% (7.3b remaining)

Error of 16.5b against oracle of 9.2b and baseline of 22.7b

bsearch40.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	4515×	body	160	valid
1.1s	8563×	body	80	nan
1.0s	16563×	pre	80	true
602.0ms	3485×	body	80	valid