Details

Time bar (total: 4.0s)

sample56.0ms

Algorithm
intervals
Results
12.0ms121×body320valid
10.0ms530×pre80true
8.0ms274×body80nan
6.0ms87×body160valid
2.0ms16×body640valid
1.0ms32×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

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: 53.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
26.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
3×*-commutative
2×neg-sub0 associate-+l- flip3-+ associate-*l* associate-/r* flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg div-sub clear-num flip-- div-inv
Counts
4 → 19
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
6.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
82.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify120.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0249203
1917193
23692186
35001185

prune73.0ms

Filtered
31 candidates to 24 candidates (77.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New27431
Fresh000
Picked101
Done000
Total28432

Merged error: 0.1b

Counts
32 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×*-commutative
11×associate-/l*
8×associate-/r/
7×associate-/l/
6×times-frac associate-*r*
5×div-inv
4×flip3-- flip--
3×frac-2neg clear-num
2×associate-*l* associate-/r*
Counts
4 → 36
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
9.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
11.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series365.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
179.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* 3.0 (* a c))
148.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify32.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0265450
1966407
25002353

prune132.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh213
Picked011
Done000
Total46652

Merged error: 0b

Counts
52 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 3.0 a) c))
0.0b
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.3b
(/ 1 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))
0.3b
(* (* 3.0 a) c)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
7×associate-/r/
3×flip3-- clear-num *-commutative flip-- associate-/l*
2×sub-neg frac-2neg associate-*r/ associate-*l* div-inv associate-/l/ remove-double-div
1×associate--l- neg-sub0 associate-/r* inv-pow
Counts
4 → 26
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
9.0ms
(/ 1 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))
4.0ms
(* (* 3.0 a) c)

series268.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
128.0ms
(/ 1 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))
20.0ms
(* (* 3.0 a) c)

simplify33.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0238233
1952216
25001201

prune101.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh224
Picked011
Done101
Total39544

Merged error: 0b

Counts
44 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 3.0 a) c))
0.0b
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.1b
(/ c (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b
(* (* 3.0 a) c)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×flip3-- *-commutative flip--
2×sub-neg associate-*r/ associate-*l* associate-/r* associate-/r/
1×associate--l- neg-sub0 frac-2neg clear-num div-inv
Counts
4 → 19
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
7.0ms
(/ c (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
4.0ms
(* (* 3.0 a) c)

series509.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
268.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
174.0ms
(/ c (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
23.0ms
(* (* 3.0 a) c)

simplify175.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0202194
1866180
24525172
35001172

prune70.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh123
Picked101
Done011
Total32436

Merged error: 0b

Counts
36 → 4

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03218
14218
24818
34818

end0.0ms

sample1.5s

Algorithm
intervals
Results
347.0ms3599×body320valid
301.0ms16161×pre80true
246.0ms8161×body80nan
194.0ms2978×body160valid
74.0ms537×body640valid
29.0ms886×body80valid