Details

sample161.0ms

Algorithm

intervals

Results

35.0ms	38×	body	2560	valid
28.0ms	177×	body	80	valid
23.0ms	29×	body	1280	valid
22.0ms	15×	body	640	valid
16.0ms	108×	body	80	nan
5.0ms	10×	body	320	valid
3.0ms	3×	body	5120	valid
3.0ms	7×	body	160	valid

simplify121.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize22.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
1.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))

rewrite496.0ms

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

436.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
15.0ms	(- (* b b) (* (* 3 a) c))
11.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
116.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
87.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
59.0ms	(- (* b b) (* (* 3 a) c))

simplify2.1s

Counts: 88 → 88

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
1.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))

rewrite170.0ms

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

105.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
48.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
8.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
7.0ms	(- (* b b) (* (* 3 a) c))

series393.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
105.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
93.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
56.0ms	(- (* b b) (* (* 3 a) c))

simplify1.9s

Counts: 88 → 88

prune927.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.3b

localize21.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
1.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))

rewrite114.0ms

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

49.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
43.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
13.0ms	(- (* b b) (* (* 3 a) c))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

326.0ms	(/ (* 3 a) (- (sqrt (- (* b b) (* (* 3 a) c))) b))
117.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
111.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
73.0ms	(- (* b b) (* (* 3 a) c))

simplify1.8s

Counts: 87 → 87

prune957.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.3b

localize29.0ms

Local error

Found 4 expressions with local error:

22.8b	(sqrt (- (* b b) (* (* 3 a) c)))
1.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b	(- (* b b) (* (* 3 a) c))
0.3b	(* 1/3 (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`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×	`insert-posit16` `distribute-lft-out--`
3×	`flip3--` `associate-l` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `prod-exp` `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 → 87

Calls

4 calls:

Slowest

58.0ms	(* 1/3 (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))
49.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
12.0ms	(- (* b b) (* (* 3 a) c))
7.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(* 1/3 (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) a))
99.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
75.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
71.0ms	(- (* b b) (* (* 3 a) c))

simplify1.6s

Counts: 99 → 99

prune976.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.3b

regimes464.0ms

Accuracy

84.5% (4.3b remaining)

Error of 10.2b against oracle of 5.9b and baseline of 33.7b

bsearch214.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	5835×	body	80	valid
791.0ms	1089×	body	2560	valid
613.0ms	912×	body	1280	valid
368.0ms	2987×	body	80	nan
241.0ms	469×	body	640	valid
115.0ms	117×	body	5120	valid
100.0ms	213×	body	320	valid
25.0ms	116×	body	160	valid