Details

sample86.0ms

Algorithm

intervals

Results

18.0ms	33×	body	2560	valid
17.0ms	176×	body	80	valid
16.0ms	34×	body	1280	valid
7.0ms	76×	body	80	nan
5.0ms	12×	body	640	valid
4.0ms	4×	body	5120	valid
2.0ms	7×	body	320	valid
2.0ms	3×	body	160	valid

simplify105.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize18.0ms

Local error

Found 4 expressions with local error:

23.5b	(sqrt (- (* b b) (* (* 3 a) c)))
1.2b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))

rewrite122.0ms

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

59.0ms	(/ (- (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)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
123.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
95.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
63.0ms	(- (* b b) (* (* 3 a) c))

simplify1.8s

Counts: 88 → 88

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize42.0ms

Local error

Found 4 expressions with local error:

23.5b	(sqrt (- (* b b) (* (* 3 a) c)))
1.2b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
0.2b	(- (* b b) (* (* 3 a) c))

rewrite98.0ms

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

39.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
35.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
15.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
7.0ms	(- (* b b) (* (* 3 a) c))

series516.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
100.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
85.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
68.0ms	(- (* b b) (* (* 3 a) c))

simplify1.7s

Counts: 87 → 87

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.4b

localize34.0ms

Local error

Found 4 expressions with local error:

23.5b	(sqrt (- (* b b) (* (* 3 a) c)))
1.2b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)

rewrite99.0ms

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

54.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
24.0ms	(* (* 3 a) c)
12.0ms	(- (* b b) (* (* 3 a) c))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
109.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
78.0ms	(- (* b b) (* (* 3 a) c))
26.0ms	(* (* 3 a) c)

simplify1.2s

Counts: 76 → 76

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.4b

localize47.0ms

Local error

Found 4 expressions with local error:

23.5b	(sqrt (- (* b b) (* (* 3 a) c)))
1.2b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(* 3 (/ a (- (sqrt (- (* b b) (* (* 3 a) c))) b)))
0.2b	(- (* b b) (* (* 3 a) c))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

Slowest

138.0ms	(* 3 (/ a (- (sqrt (- (* b b) (* (* 3 a) c))) b)))
63.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
13.0ms	(- (* b b) (* (* 3 a) c))

series560.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

273.0ms	(* 3 (/ a (- (sqrt (- (* b b) (* (* 3 a) c))) b)))
120.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
98.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
69.0ms	(- (* b b) (* (* 3 a) c))

simplify1.5s

Counts: 101 → 101

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 6.4b

regimes716.0ms

Accuracy

84.3% (4.3b remaining)

Error of 10.2b against oracle of 5.9b and baseline of 33.6b

bsearch384.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.8s	1090×	body	2560	valid
759.0ms	5799×	body	80	valid
678.0ms	921×	body	1280	valid
433.0ms	2992×	body	80	nan
246.0ms	438×	body	640	valid
172.0ms	226×	body	320	valid
143.0ms	124×	body	5120	valid
29.0ms	125×	body	160	valid