Details

sample242.0ms

Algorithm

intervals

Results

36.0ms	41×	body	2560	valid
31.0ms	191×	body	80	valid
20.0ms	28×	body	1280	valid
13.0ms	93×	body	80	nan
7.0ms	12×	body	640	valid
4.0ms	4×	body	5120	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid

simplify86.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize21.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b_2 b_2) (* a c)))
1.0b	(- (* b_2 b_2) (* a c))
0.8b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

83.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
57.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
15.0ms	(- (* b_2 b_2) (* a c))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
110.0ms	(sqrt (- (* b_2 b_2) (* a c)))
97.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
57.0ms	(- (* b_2 b_2) (* a c))

simplify1.0s

Counts: 100 → 100

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.6b

localize21.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b_2 b_2) (* a c)))
1.0b	(- (* b_2 b_2) (* a c))
0.8b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

Slowest

114.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
57.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
20.0ms	(- (* b_2 b_2) (* a c))
9.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
104.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
98.0ms	(sqrt (- (* b_2 b_2) (* a c)))
48.0ms	(- (* b_2 b_2) (* a c))

simplify1.3s

Counts: 101 → 101

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize54.0ms

Local error

Found 4 expressions with local error:

23.1b	(sqrt (- (* b_2 b_2) (* a c)))
23.1b	(sqrt (- (* b_2 b_2) (* a c)))
1.0b	(- (* b_2 b_2) (* a c))
1.0b	(- (* b_2 b_2) (* a c))

rewrite60.0ms

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	(sqrt (- (* b_2 b_2) (* a c)))
15.0ms	(sqrt (- (* b_2 b_2) (* a c)))
15.0ms	(- (* b_2 b_2) (* a c))
14.0ms	(- (* b_2 b_2) (* a c))

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(sqrt (- (* b_2 b_2) (* a c)))
102.0ms	(sqrt (- (* b_2 b_2) (* a c)))
63.0ms	(- (* b_2 b_2) (* a c))
43.0ms	(- (* b_2 b_2) (* a c))

simplify1.6s

Counts: 70 → 70

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.6b

localize55.0ms

Local error

Found 4 expressions with local error:

23.8b	(cbrt (- (* b_2 b_2) (* a c)))
23.8b	(cbrt (- (* b_2 b_2) (* a c)))
23.1b	(sqrt (- (* b_2 b_2) (* a c)))
6.4b	(- (* (fabs (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (cbrt (- (* b_2 b_2) (* a c))))) b_2)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`cbrt-div` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`sqrt-prod`
2×	`pow1/3` `sqrt-div`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 57

Calls

4 calls:

Slowest

49.0ms	(- (* (fabs (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (cbrt (- (* b_2 b_2) (* a c))))) b_2)
15.0ms	(sqrt (- (* b_2 b_2) (* a c)))
6.0ms	(cbrt (- (* b_2 b_2) (* a c)))
5.0ms	(cbrt (- (* b_2 b_2) (* a c)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(cbrt (- (* b_2 b_2) (* a c)))
118.0ms	(cbrt (- (* b_2 b_2) (* a c)))
108.0ms	(- (* (fabs (cbrt (- (* b_2 b_2) (* a c)))) (sqrt (cbrt (- (* b_2 b_2) (* a c))))) b_2)
83.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify1.5s

Counts: 69 → 69

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.6b

regimes328.0ms

Accuracy

84.7% (4.3b remaining)

Error of 9.8b against oracle of 5.5b and baseline of 33.6b

bsearch113.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	5839×	body	80	valid
792.0ms	1143×	body	2560	valid
598.0ms	888×	body	1280	valid
346.0ms	2927×	body	80	nan
261.0ms	452×	body	640	valid
111.0ms	201×	body	320	valid
87.0ms	116×	body	5120	valid
21.0ms	107×	body	160	valid