Details

Time bar (total: 20.3s)

sample249.0ms

Algorithm
intervals
Results
41.0ms44×body2560valid
27.0ms183×body80valid
18.0ms24×body1280valid
14.0ms87×body80nan
5.0ms8×body640valid
4.0ms8×body320valid
2.0ms7×body160valid
1.0ms1×body5120valid

simplify120.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize43.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite400.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r* diff-log
2×sub-neg sqrt-div associate-/l/
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv
Counts
4 → 175
Calls
4 calls:
Slowest
300.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
52.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
25.0ms
(sqrt (- (* b_2 b_2) (* a c)))
16.0ms
(- (* b_2 b_2) (* a c))

series762.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
269.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
188.0ms
(sqrt (- (* b_2 b_2) (* a c)))
160.0ms
(- (* b_2 b_2) (* a c))
144.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

simplify771.0ms

Counts
187 → 187

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize43.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* b_2 b_2) (* a c))
0.2b
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
63×*-un-lft-identity
61×prod-diff
54×add-cube-cbrt
35×sqrt-prod
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
13×associate-*r* add-exp-log
11×times-frac fma-neg
10×add-log-exp
9×add-cbrt-cube
7×pow1 neg-mul-1 associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sub-neg sqrt-div div-exp associate-*l/ cbrt-unprod
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down neg-log associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 173
Calls
4 calls:
Slowest
86.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
31.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
24.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* a c))

series388.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
101.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
90.0ms
(sqrt (- (* b_2 b_2) (* a c)))
48.0ms
(- (* b_2 b_2) (* a c))

simplify1.1s

Counts
185 → 185

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize31.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r* diff-log
2×sub-neg sqrt-div associate-/l/
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv
Counts
4 → 175
Calls
4 calls:
Slowest
80.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
35.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.0ms
(- (* b_2 b_2) (* a c))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
116.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
100.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
89.0ms
(sqrt (- (* b_2 b_2) (* a c)))
45.0ms
(- (* b_2 b_2) (* a c))

simplify646.0ms

Counts
187 → 187

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.8b

localize27.0ms

Local error

Found 4 expressions with local error:

22.1b
(sqrt (- (* b_2 b_2) (* a c)))
2.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.2b
(- (* b_2 b_2) (* a c))
0.2b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
171×add-sqr-sqrt
170×*-un-lft-identity
165×times-frac
118×add-cube-cbrt
61×prod-diff
46×sqrt-prod
34×distribute-rgt-neg-in
27×associate-/r*
26×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
15×add-exp-log
11×fma-neg
10×add-log-exp
9×add-cbrt-cube associate-/r/
7×neg-mul-1 flip3-- div-exp flip--
6×pow1
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv diff-log associate-/l*
2×rec-exp sub-neg sqrt-div 1-exp
1×associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log pow-flip inv-pow
Counts
4 → 261
Calls
4 calls:
Slowest
42.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
28.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* a c))

series338.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
98.0ms
(sqrt (- (* b_2 b_2) (* a c)))
85.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
42.0ms
(- (* b_2 b_2) (* a c))

simplify1.0s

Counts
273 → 273

prune2.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.8b

regimes452.0ms

Accuracy

84% (4.3b remaining)

Error of 10.3b against oracle of 6.0b and baseline of 33.0b

bsearch194.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
817.0ms5906×body80valid
786.0ms2865×body80nan
727.0ms1020×body2560valid
574.0ms893×body1280valid
329.0ms434×body640valid
216.0ms126×body5120valid
76.0ms223×body320valid
28.0ms120×body160valid