Details

Time bar (total: 10.0s)

sample62.0ms

Algorithm
intervals
Results
12.0ms530×pre80true
11.0ms110×body320valid
9.0ms274×body80nan
6.0ms97×body160valid
2.0ms18×body640valid
1.0ms31×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
26.2b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
67.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
48.0ms
(- (* b b) (* (* 4.0 a) c))
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify798.0ms

Counts
82 → 82
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
01541565
14011461
213411245
done50001233

prune184.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ (+ 0 (* a (* 4.0 c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* a (* 4.0 c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
23.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(- (* b b) (* (* 4.0 a) c))
87.0ms
(/ (/ (+ 0 (* a (* 4.0 c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
59.0ms
(/ (+ 0 (* a (* 4.0 c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
46.0ms
(- (* b b) (* (* 4.0 a) c))
152.0ms
(/ (/ (+ 0 (* a (* 4.0 c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
189.0ms
(/ (+ 0 (* a (* 4.0 c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify1.1s

Counts
163 → 163
Iterations

Useful iterations: 2 (431.0ms)

IterNodesCost
02505048
16254510
227634166
done50024166

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* a (* 4.0 c))) (* 2.0 (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
15×add-exp-log add-cbrt-cube
10×add-log-exp
8×add-cube-cbrt
7×associate-*r*
6×pow1 associate-*r/
4×sub-neg flip3-- prod-exp flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
3×cbrt-undiv times-frac diff-log div-exp associate-*l* associate-/l*
2×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in sqrt-prod associate-/r/ associate-/l/
1×associate--l- neg-sub0 frac-2neg flip3-+ pow-prod-down neg-log clear-num associate-/r* *-commutative flip-+ div-inv unswap-sqr
Counts
4 → 85
Calls
4 calls:
78.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(- (* b b) (* (* 4.0 a) c))
89.0ms
(/ (+ 0 (* a (* 4.0 c))) (* 2.0 (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
80.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
46.0ms
(- (* b b) (* (* 4.0 a) c))
152.0ms
(/ (+ 0 (* a (* 4.0 c))) (* 2.0 (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))))

simplify1.2s

Counts
97 → 97
Iterations

Useful iterations: 2 (373.0ms)

IterNodesCost
01862172
14921977
225851703
done50001703

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0))) (* 2.0 a))
0.3b
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0))
0.3b
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0)))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
156×add-exp-log
110×add-sqr-sqrt *-un-lft-identity
80×div-exp
72×add-cbrt-cube
62×add-cube-cbrt
48×associate-/l*
43×prod-exp
34×cbrt-undiv
24×distribute-lft-out-- difference-of-squares
17×cbrt-unprod
15×div-inv
13×associate-/r*
12×rec-exp distribute-rgt-neg-in 1-exp sqrt-prod
6×add-log-exp
5×pow1
3×frac-2neg clear-num associate-/r/ associate-/l/
2×flip3-- flip--
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 246
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
103.0ms
(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0))) (* 2.0 a))
75.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0))
71.0ms
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 4.0 a) c))
132.0ms
(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0))) (* 2.0 a))
110.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0))
168.0ms
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* (* a c) 4.0)))

simplify1.4s

Counts
258 → 258
Iterations

Useful iterations: 2 (575.0ms)

IterNodesCost
03868046
110177484
237216346
done50016346

prune385.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01925
12623
done2623

end0.0ms

sample1.6s

Algorithm
intervals
Results
367.0ms3585×body320valid
264.0ms16235×pre80true
261.0ms8235×body80nan
199.0ms2962×body160valid
68.0ms518×body640valid
33.0ms935×body80valid