Details

sample149.0ms

Algorithm

intervals

Results

42.0ms	41×	body	2560	valid
31.0ms	191×	body	80	valid
25.0ms	28×	body	1280	valid
14.0ms	93×	body	80	nan
8.0ms	12×	body	640	valid
5.0ms	4×	body	5120	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid

simplify174.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize46.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
0.8b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))

rewrite133.0ms

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

76.0ms	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
38.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
11.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(- (* b b) (* (* 4 a) c))

series423.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
119.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
108.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
55.0ms	(- (* b b) (* (* 4 a) c))

simplify2.1s

Counts: 88 → 88

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.6b

localize40.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
0.8b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b	(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

Slowest

148.0ms	(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))
50.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
18.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))

series440.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))
114.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
93.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
73.0ms	(- (* b b) (* (* 4 a) c))

simplify2.3s

Counts: 97 → 97

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.6b

localize42.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
1.0b	(- (* b b) (* (* 4 a) c))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

Slowest

15.0ms	(- (* b b) (* (* 4 a) c))
15.0ms	(- (* b b) (* (* 4 a) c))
13.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
13.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
92.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
70.0ms	(- (* b b) (* (* 4 a) c))
67.0ms	(- (* b b) (* (* 4 a) c))

simplify633.0ms

Counts: 70 → 70

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.6b

localize30.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
23.1b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
1.0b	(- (* b b) (* (* 4 a) c))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

Slowest

12.0ms	(- (* b b) (* (* 4 a) c))
11.0ms	(- (* b b) (* (* 4 a) c))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

91.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
80.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
72.0ms	(- (* b b) (* (* 4 a) c))
60.0ms	(- (* b b) (* (* 4 a) c))

simplify603.0ms

Counts: 70 → 70

prune933.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

regimes326.0ms

Accuracy

84.7% (4.3b remaining)

Error of 9.8b against oracle of 5.6b and baseline of 33.6b

bsearch159.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.1s	5839×	body	80	valid
909.0ms	1143×	body	2560	valid
618.0ms	450×	body	640	valid
549.0ms	888×	body	1280	valid
447.0ms	2933×	body	80	nan
97.0ms	203×	body	320	valid
96.0ms	115×	body	5120	valid
22.0ms	108×	body	160	valid