Details

sample147.0ms

Algorithm

intervals

Results

32.0ms	34×	body	2560	valid
32.0ms	23×	body	1280	valid
31.0ms	189×	body	80	valid
11.0ms	80×	body	80	nan
8.0ms	12×	body	640	valid
5.0ms	9×	body	320	valid
4.0ms	3×	body	5120	valid
1.0ms	4×	body	160	valid

simplify551.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.3b

localize52.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
0.9b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))

rewrite129.0ms

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

64.0ms	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
36.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
14.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(- (* b b) (* (* 4 a) c))

series511.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
141.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
131.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
76.0ms	(- (* b b) (* (* 4 a) c))

simplify2.0s

Counts: 88 → 88

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
0.9b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* 4 a) c))) b)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
47×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/r*` `div-exp`
10×	`difference-of-squares`
9×	`associate-/r/`
8×	`sqrt-prod` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1`
5×	`cbrt-undiv` `div-inv` `distribute-lft-out--`
4×	`insert-posit16`
3×	`rec-exp` `1-exp` `prod-exp` `associate-/l*`
2×	`sub-neg` `sqrt-div` `diff-log`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 122

Calls

4 calls:

Slowest

63.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
43.0ms	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(- (* b b) (* (* 4 a) c))

series503.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

208.0ms	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
126.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
108.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
61.0ms	(- (* b b) (* (* 4 a) c))

simplify869.0ms

Counts: 134 → 134

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize36.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b b) (* (* 4 a) c)))
1.0b	(- (* b b) (* (* 4 a) c))
0.9b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.3b	(/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* (* 4 a) c))) b)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

789×	`times-frac`
493×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
320×	`add-cube-cbrt`
86×	`difference-of-squares`
46×	`sqrt-prod`
43×	`distribute-lft-out--`
40×	`div-inv`
29×	`associate-/r/`
26×	`add-exp-log`
24×	`associate-/r*`
17×	`flip3--` `flip--`
16×	`add-cbrt-cube` `div-exp`
13×	`associate-/l*`
8×	`cbrt-undiv` `add-log-exp`
5×	`pow1`
4×	`insert-posit16`
2×	`rec-exp` `sub-neg` `sqrt-div` `diff-log` `1-exp`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 419

Calls

4 calls:

Slowest

79.0ms	(/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
43.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
12.0ms	(- (* b b) (* (* 4 a) c))
12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

223.0ms	(/ (/ 1/2 a) (/ 1 (- (sqrt (- (* b b) (* (* 4 a) c))) b)))
97.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
94.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
70.0ms	(- (* b b) (* (* 4 a) c))

simplify886.0ms

Counts: 431 → 431

prune5.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.5b

localize51.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
22.1b	(cbrt (- (* b b) (* (* 4 a) c)))
21.4b	(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 93

Calls

4 calls:

Slowest

80.0ms	(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
146.0ms	(cbrt (- (* b b) (* (* 4 a) c)))
129.0ms	(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
119.0ms	(cbrt (- (* b b) (* (* 4 a) c)))

simplify875.0ms

Counts: 105 → 105

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

regimes374.0ms

Accuracy

83.3% (4.7b remaining)

Error of 10.0b against oracle of 5.3b and baseline of 33.5b

bsearch268.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.0s	1094×	body	2560	valid
953.0ms	5796×	body	80	valid
908.0ms	2811×	body	80	nan
719.0ms	481×	body	640	valid
688.0ms	860×	body	1280	valid
175.0ms	103×	body	5120	valid
99.0ms	251×	body	320	valid
33.0ms	130×	body	160	valid