Details

sample122.0ms

Algorithm

intervals

Results

29.0ms	32×	body	2560	valid
26.0ms	190×	body	80	valid
23.0ms	32×	body	1280	valid
9.0ms	79×	body	80	nan
7.0ms	12×	body	640	valid
4.0ms	11×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	1×	body	5120	valid

simplify296.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize49.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* 4 (* a c))))
1.7b	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
1.4b	(- (* b b) (* 4 (* a c)))
0.1b	(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
7×	`times-frac` `add-cube-cbrt` `associate-/l*`
6×	`sqrt-prod` `distribute-lft-out--` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `insert-posit16` `flip--`
3×	`distribute-rgt-neg-in` `diff-log`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `div-exp` `associate-/l/`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `neg-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 81

Calls

4 calls:

Slowest

55.0ms	(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
14.0ms	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
8.0ms	(- (* b b) (* 4 (* a c)))
7.0ms	(sqrt (- (* b b) (* 4 (* a c))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
104.0ms	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
102.0ms	(sqrt (- (* b b) (* 4 (* a c))))
64.0ms	(- (* b b) (* 4 (* a c)))

simplify2.0s

Counts: 93 → 93

prune903.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.8b

localize27.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* 4 (* a c))))
1.7b	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
1.4b	(- (* b b) (* 4 (* a c)))
0.2b	(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
13×	`associate-r` `add-cube-cbrt`
10×	`times-frac` `add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `associate-l`
5×	`flip3--` `sqrt-prod` `flip--`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log`
2×	`frac-times` `sub-neg` `distribute-rgt-neg-in` `sqrt-div` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `pow-prod-down` `neg-log` `associate-r/` `-commutative` `div-inv`

Counts

4 → 89

Calls

4 calls:

Slowest

75.0ms	(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
14.0ms	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
8.0ms	(- (* b b) (* 4 (* a c)))
7.0ms	(sqrt (- (* b b) (* 4 (* a c))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(* (- (- b) (sqrt (- (* b b) (* 4 (* a c))))) (/ 1/2 a))
109.0ms	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
95.0ms	(sqrt (- (* b b) (* 4 (* a c))))
63.0ms	(- (* b b) (* 4 (* a c)))

simplify2.2s

Counts: 101 → 101

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.8b

localize55.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* 4 (* a c))))
20.7b	(sqrt (- (* b b) (* 4 (* a c))))
20.7b	(sqrt (- (* b b) (* 4 (* a c))))
1.7b	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`sqrt-div`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`diff-log` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `sub-neg` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 67

Calls

4 calls:

Slowest

14.0ms	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
9.0ms	(sqrt (- (* b b) (* 4 (* a c))))
9.0ms	(sqrt (- (* b b) (* 4 (* a c))))
7.0ms	(sqrt (- (* b b) (* 4 (* a c))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(- (- b) (sqrt (- (* b b) (* 4 (* a c)))))
99.0ms	(sqrt (- (* b b) (* 4 (* a c))))
93.0ms	(sqrt (- (* b b) (* 4 (* a c))))
81.0ms	(sqrt (- (* b b) (* 4 (* a c))))

simplify776.0ms

Counts: 79 → 79

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize75.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* 4 (* a c))))
20.7b	(sqrt (- (* b b) (* 4 (* a c))))
20.7b	(sqrt (- (* b b) (* 4 (* a c))))
20.7b	(sqrt (- (* b b) (* 4 (* a c))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

Slowest

20.0ms	(sqrt (- (* b b) (* 4 (* a c))))
12.0ms	(sqrt (- (* b b) (* 4 (* a c))))
11.0ms	(sqrt (- (* b b) (* 4 (* a c))))
7.0ms	(sqrt (- (* b b) (* 4 (* a c))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(sqrt (- (* b b) (* 4 (* a c))))
84.0ms	(sqrt (- (* b b) (* 4 (* a c))))
84.0ms	(sqrt (- (* b b) (* 4 (* a c))))
81.0ms	(sqrt (- (* b b) (* 4 (* a c))))

simplify1.9s

Counts: 76 → 76

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

regimes442.0ms

Accuracy

84.3% (4.4b remaining)

Error of 10.1b against oracle of 5.7b and baseline of 34.0b

bsearch217.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.2s	1071×	body	2560	valid
892.0ms	5896×	body	80	valid
681.0ms	895×	body	1280	valid
603.0ms	239×	body	320	valid
419.0ms	2903×	body	80	nan
388.0ms	475×	body	640	valid
131.0ms	105×	body	5120	valid
27.0ms	99×	body	160	valid