Details

sample166.0ms

Algorithm

intervals

Results

39.0ms	258×	body	80	nan
39.0ms	110×	body	320	valid
28.0ms	514×	pre	80	true
21.0ms	97×	body	160	valid
8.0ms	17×	body	640	valid
3.0ms	32×	body	80	valid

simplify142.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize27.0ms

Local error

Found 4 expressions with local error:

25.1b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b	(* (* 3 a) c)
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b	(- (* b b) (* (* 3 a) c))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

Slowest

110.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
61.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
30.0ms	(* (* 3 a) c)
15.0ms	(- (* b b) (* (* 3 a) c))

series378.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
86.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
79.0ms	(- (* b b) (* (* 3 a) c))
33.0ms	(* (* 3 a) c)

simplify545.0ms

Counts: 104 → 91

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

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

prune29.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b	(* -3/2 (/ (* a c) b))
0.2b	(/ (* a c) b)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

Slowest

24.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
13.0ms	(* -3/2 (/ (* a c) b))
12.0ms	(/ (* a c) b)

series73.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

32.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* a c) b)
20.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify586.0ms

Counts: 96 → 90

prune790.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (/ (* (/ (* c a) b) (/ (* c a) b)) (/ (* (* a a) a) (/ (* c a) b))) -1/8))
0.5b	(* (/ (* c a) b) (/ (* c a) b))
0.4b	(/ (* (/ (* c a) b) (/ (* c a) b)) (/ (* (* a a) a) (/ (* c a) b)))
0.4b	(/ (* (* a a) a) (/ (* c a) b))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

816×	`add-cbrt-cube` `add-exp-log`
397×	`cbrt-undiv` `div-exp`
297×	`prod-exp` `cbrt-unprod`
57×	`times-frac`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`associate-/r*`
12×	`div-inv`
11×	`pow1`
7×	`swap-sqr` `associate-r` `associate-l`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`associate-*l/` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`cbrt-prod` `pow2` `cbrt-div` `pow-plus` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 353

Calls

4 calls:

Slowest

101.0ms	(cbrt (* (/ (* (/ (* c a) b) (/ (* c a) b)) (/ (* (* a a) a) (/ (* c a) b))) -1/8))
50.0ms	(/ (* (/ (* c a) b) (/ (* c a) b)) (/ (* (* a a) a) (/ (* c a) b)))
28.0ms	(* (/ (* c a) b) (/ (* c a) b))
27.0ms	(/ (* (* a a) a) (/ (* c a) b))

series227.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(cbrt (* (/ (* (/ (* c a) b) (/ (* c a) b)) (/ (* (* a a) a) (/ (* c a) b))) -1/8))
68.0ms	(/ (* (/ (* c a) b) (/ (* c a) b)) (/ (* (* a a) a) (/ (* c a) b)))
59.0ms	(* (/ (* c a) b) (/ (* c a) b))
22.0ms	(/ (* (* a a) a) (/ (* c a) b))

simplify612.0ms

Counts: 394 → 365

prune4.7s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.4b

regimes492.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch1.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.9s	16155×	pre	80	true
1.4s	3600×	body	320	valid
1.2s	8155×	body	80	nan
846.0ms	2991×	body	160	valid
229.0ms	504×	body	640	valid
124.0ms	905×	body	80	valid