Details

Time bar (total: 6.6s)

sample58.0ms

Algorithm
intervals
Results
12.0ms129×body320valid
9.0ms290×body80nan
9.0ms546×pre80true
5.0ms80×body160valid
2.0ms13×body640valid
1.0ms34×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059
done1059

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
23.6b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite103.0ms

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:
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
65.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
20.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
51.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify44.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0405779
11563685
25002674
done5002674

prune181.0ms

Pruning

3 alts after pruning (3 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))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite176.0ms

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:
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms
(- (* b b) (* (* 4.0 a) c))
55.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
85.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series478.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
51.0ms
(- (* b b) (* (* 4.0 a) c))
193.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
152.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify111.0ms

Counts
163 → 163
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06422664
131752400
250022388
done50022388

prune415.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
312×add-exp-log
142×div-exp
138×add-cbrt-cube
137×prod-exp
57×cbrt-unprod
48×cbrt-undiv
40×1-exp
33×times-frac
26×add-sqr-sqrt
24×*-un-lft-identity
20×add-cube-cbrt
16×rec-exp
14×associate-/l*
7×associate-*r*
6×pow1 add-log-exp
5×flip3-- associate-*l* associate-/r/ flip-- div-inv
4×frac-times associate-*r/
3×sub-neg
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in diff-log pow-prod-down sqrt-prod *-commutative associate-/l/ unswap-sqr
Counts
4 → 197
Calls
4 calls:
7.0ms
(- (* b b) (* (* 4.0 a) c))
20.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
128.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
78.0ms
(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
90.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
155.0ms
(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify54.0ms

Counts
209 → 209
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011703195
150012442
done50012442

prune318.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
1958×add-exp-log
1020×div-exp
763×prod-exp
514×add-cbrt-cube
491×times-frac
356×add-sqr-sqrt
284×cbrt-undiv
272×*-un-lft-identity
211×cbrt-unprod
160×associate-*r*
156×add-cube-cbrt
134×rec-exp 1-exp
79×cbrt-prod
44×distribute-lft-out-- difference-of-squares
40×associate-*l*
37×div-inv
32×unswap-sqr
22×distribute-rgt-neg-in sqrt-prod
8×associate-/l*
6×pow1 associate-/r* add-log-exp
4×associate-/r/
2×flip3-- frac-2neg clear-num flip--
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 726
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
40.0ms
(/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ (* 2.0 a) (* 4.0 (* a c))))
20.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
301.0ms
(* (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ (* 2.0 a) (* 4.0 (* a c)))) (/ (/ 1 (cbrt 1)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ (* 2.0 a) (* 4.0 (* a c))))
12.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
159.0ms
(* (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ (* 2.0 a) (* 4.0 (* a c)))) (/ (/ 1 (cbrt 1)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify162.0ms

Counts
738 → 738
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0366016687
1500214814
done500214814

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03019
13019
done3019

end0.0ms

sample1.6s

Algorithm
intervals
Results
363.0ms3691×body320valid
267.0ms16155×pre80true
252.0ms8155×body80nan
191.0ms2902×body160valid
75.0ms547×body640valid
28.0ms860×body80valid