Details

Time bar (total: 4.3s)

sample62.0ms

Algorithm
intervals
Results
16.0ms122×body320valid
10.0ms532×pre80true
9.0ms276×body80nan
6.0ms86×body160valid
2.0ms16×body640valid
1.0ms32×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 53.3b

Counts
2 → 1

localize11.0ms

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))
26.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
2×neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div associate-/r* flip-- flip-+ associate-/l/
1×+-commutative sub-neg frac-2neg pow1/2 div-sub clear-num *-commutative div-inv
Counts
4 → 19
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
5.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
46.0ms
(- (* b b) (* (* 4.0 a) c))
102.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify116.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0269246
1985235
23930225
35002224

prune80.0ms

Filtered
31 candidates to 27 candidates (87.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New27431
Fresh000
Picked101
Done000
Total28432

Merged error: 0.1b

Counts
32 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-/l*
8×associate-/r/ *-commutative
7×associate-/l/
6×flip3-- times-frac flip--
5×div-inv
4×associate-*r*
3×frac-2neg clear-num
2×sub-neg associate-/r*
1×associate--l- neg-sub0
Counts
4 → 39
Calls
4 calls:
8.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
5.0ms
(- (* b b) (* (* 4.0 a) c))
10.0ms
(/ (/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
9.0ms
(/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
143.0ms
(/ (/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
179.0ms
(/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0355552
11419505
25002479

prune155.0ms

Filtered
51 candidates to 42 candidates (82.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New46551
Fresh303
Picked101
Done000
Total50555

Merged error: 0b

Counts
55 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- b) (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)))) a)
0.2b
(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×associate-*r/
4×flip3-- flip-- associate-/l/
3×clear-num
2×associate--l- neg-sub0 sub-neg frac-2neg div-sub associate-*l* *-commutative div-inv
1×associate-*r* un-div-inv
Counts
4 → 26
Calls
4 calls:
5.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
5.0ms
(- (* b b) (* (* 4.0 a) c))
7.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a)
9.0ms
(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a))

series303.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
92.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a)
90.0ms
(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a))

simplify34.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0263269
11002259
25002245

prune120.0ms

Filtered
38 candidates to 31 candidates (81.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New36238
Fresh224
Picked101
Done000
Total39443

Merged error: 0b

Counts
43 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
40×frac-sub
24×associate-*r/
23×frac-2neg
19×clear-num
18×sqrt-div associate-/l/
12×flip3-- flip--
10×neg-mul-1 associate-/l*
5×div-inv
4×sub-neg sub-div
2×distribute-rgt-in distribute-rgt-out-- distribute-lft-in associate-*l* *-commutative
1×associate--l- neg-sub0 div-sub associate-*r*
Counts
4 → 69
Calls
4 calls:
10.0ms
(- (/ (- b) a) (/ (sqrt (- (* b b) (* (* 4.0 a) c))) a))
5.0ms
(- (* b b) (* (* 4.0 a) c))
7.0ms
(/ (sqrt (- (* b b) (* (* 4.0 a) c))) a)
14.0ms
(* (* 2.0 a) (- (/ (- b) a) (/ (sqrt (- (* b b) (* (* 4.0 a) c))) a)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (/ (- b) a) (/ (sqrt (- (* b b) (* (* 4.0 a) c))) a))
48.0ms
(- (* b b) (* (* 4.0 a) c))
116.0ms
(/ (sqrt (- (* b b) (* (* 4.0 a) c))) a)
139.0ms
(* (* 2.0 a) (- (/ (- b) a) (/ (sqrt (- (* b b) (* (* 4.0 a) c))) a)))

simplify91.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06021194
129071129
250011129

prune283.0ms

Filtered
81 candidates to 72 candidates (88.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh123
Picked011
Done000
Total81485

Merged error: 0b

Counts
85 → 4

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411
12611
22611

end0.0ms

sample1.6s

Algorithm
intervals
Results
384.0ms3597×body320valid
299.0ms16203×pre80true
274.0ms8203×body80nan
212.0ms2977×body160valid
75.0ms535×body640valid
31.0ms891×body80valid