Details

sample112.0ms

Algorithm

intervals

Results

23.0ms	35×	body	2560	valid
22.0ms	191×	body	80	valid
21.0ms	101×	body	80	nan
12.0ms	23×	body	1280	valid
8.0ms	18×	body	640	valid
4.0ms	5×	body	5120	valid
2.0ms	6×	body	160	valid
2.0ms	5×	body	320	valid

simplify130.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize35.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.6b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))

rewrite135.0ms

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

72.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
43.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
12.0ms	(- (* b b) (* (* 3 a) c))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
109.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
102.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
68.0ms	(- (* b b) (* (* 3 a) c))

simplify1.6s

Counts: 88 → 88

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize34.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.6b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))

rewrite84.0ms

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×	`associate-/r*` `times-frac` `sqrt-prod` `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-/r/`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 75

Calls

4 calls:

Slowest

36.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
31.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
9.0ms	(- (* b b) (* (* 3 a) c))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

296.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
101.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
82.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
68.0ms	(- (* b b) (* (* 3 a) c))

simplify1.9s

Counts: 87 → 87

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize31.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.6b	(- (* b b) (* (* 3 a) c))
0.3b	(* (/ 1 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
34×	`times-frac`
32×	`*-un-lft-identity`
26×	`add-exp-log`
22×	`associate-r` `add-cube-cbrt`
16×	`add-cbrt-cube`
13×	`associate-l`
8×	`div-exp` `prod-exp` `add-log-exp` `difference-of-squares`
7×	`pow1` `sqrt-prod`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod` `insert-posit16` `distribute-lft-out--`
3×	`flip3--` `flip--`
2×	`rec-exp` `sub-neg` `sqrt-div` `diff-log` `1-exp` `div-inv`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 111

Calls

4 calls:

Slowest

398.0ms	(* (/ 1 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))
54.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
7.0ms	(- (* b b) (* (* 3 a) c))

series441.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(* (/ 1 3) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))
123.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
120.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
53.0ms	(- (* b b) (* (* 3 a) c))

simplify893.0ms

Counts: 123 → 123

prune1.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.1b

localize51.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 3 a) c)))
1.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.6b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

Slowest

39.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
16.0ms	(* (* 3 a) c)
14.0ms	(- (* b b) (* (* 3 a) c))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
95.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
75.0ms	(- (* b b) (* (* 3 a) c))
24.0ms	(* (* 3 a) c)

simplify1.2s

Counts: 76 → 76

prune1.1s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 5.1b

regimes874.0ms

Accuracy

83.9% (4.5b remaining)

Error of 9.8b against oracle of 5.3b and baseline of 33.2b

bsearch283.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	1091×	body	2560	valid
881.0ms	5802×	body	80	valid
725.0ms	927×	body	1280	valid
407.0ms	2924×	body	80	nan
302.0ms	444×	body	640	valid
162.0ms	134×	body	5120	valid
80.0ms	221×	body	320	valid
28.0ms	104×	body	160	valid