Details

sample170.0ms

Algorithm

intervals

Results

29.0ms	44×	body	2560	valid
21.0ms	179×	body	80	valid
17.0ms	32×	body	1280	valid
9.0ms	92×	body	80	nan
5.0ms	10×	body	640	valid
2.0ms	3×	body	5120	valid
2.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify109.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize25.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.0b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`add-cube-cbrt`
20×	`sqrt-prod`
19×	`prod-diff`
18×	`times-frac`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`fma-neg`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `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 → 122

Calls

4 calls:

Slowest

124.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
74.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
25.0ms	(- (* b_2 b_2) (* a c))
21.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
127.0ms	(sqrt (- (* b_2 b_2) (* a c)))
79.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
51.0ms	(- (* b_2 b_2) (* a c))

simplify1.5s

Counts: 134 → 134

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize34.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.0b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
30×	`add-cube-cbrt`
20×	`sqrt-prod`
19×	`prod-diff`
18×	`times-frac`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`fma-neg`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `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 → 122

Calls

4 calls:

Slowest

70.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
44.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
18.0ms	(sqrt (- (* b_2 b_2) (* a c)))
15.0ms	(- (* b_2 b_2) (* a c))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
112.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
91.0ms	(sqrt (- (* b_2 b_2) (* a c)))
44.0ms	(- (* b_2 b_2) (* a c))

simplify1.4s

Counts: 134 → 134

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.8b

localize39.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.0b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
27×	`add-cube-cbrt`
19×	`prod-diff`
17×	`sqrt-prod`
13×	`associate-r` `add-exp-log`
11×	`times-frac`
9×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1` `fma-neg`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `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 → 123

Calls

4 calls:

Slowest

155.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
41.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
22.0ms	(- (* b_2 b_2) (* a c))
18.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
98.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
93.0ms	(sqrt (- (* b_2 b_2) (* a c)))
58.0ms	(- (* b_2 b_2) (* a c))

simplify2.2s

Counts: 135 → 135

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.8b

localize41.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b_2 b_2) (* a c)))
25.5b	(sqrt (- (* b_2 b_2) (* a c)))
25.5b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 71

Calls

4 calls:

Slowest

19.0ms	(sqrt (- (* b_2 b_2) (* a c)))
18.0ms	(sqrt (- (* b_2 b_2) (* a c)))
16.0ms	(sqrt (- (* b_2 b_2) (* a c)))
8.0ms	(- (* b_2 b_2) (* a c))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

92.0ms	(sqrt (- (* b_2 b_2) (* a c)))
86.0ms	(sqrt (- (* b_2 b_2) (* a c)))
86.0ms	(sqrt (- (* b_2 b_2) (* a c)))
46.0ms	(- (* b_2 b_2) (* a c))

simplify1.4s

Counts: 83 → 83

prune1.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.8b

regimes439.0ms

Accuracy

84.7% (4.3b remaining)

Error of 10.0b against oracle of 5.7b and baseline of 33.7b

bsearch168.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	1099×	body	2560	valid
727.0ms	5825×	body	80	valid
613.0ms	905×	body	1280	valid
395.0ms	2907×	body	80	nan
226.0ms	462×	body	640	valid
166.0ms	236×	body	320	valid
109.0ms	122×	body	5120	valid
22.0ms	100×	body	160	valid