Details

Time bar (total: 3.6s)

sample51.0ms

Algorithm
intervals
Results
10.0ms553×pre80true
9.0ms142×body160valid
9.0ms297×body80nan
6.0ms114×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

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: 27.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite22.0ms

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))
3.0ms
(* (* 3.0 a) c)
7.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
23.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify116.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0249203
1917193
23692186
35001185

prune77.0ms

Filtered
31 candidates to 24 candidates (77.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New26531
Fresh000
Picked101
Done000
Total27532

Merged error: 0.5b

Counts
32 → 5

localize17.0ms

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)
0.3b
(/ (/ (* 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))

series369.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 3.0 (* a c))
182.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
149.0ms
(/ (/ (* 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

prune142.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New381048
Fresh404
Picked101
Done000
Total431053

Merged error: 0.0b

Counts
53 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×*-commutative
10×times-frac associate-*r/ associate-*l*
6×associate-/r/
5×clear-num associate-/r* div-inv
4×associate-*r* associate-/l/
3×flip3-- frac-2neg flip--
2×un-div-inv associate-/l*
1×sub-neg
Counts
4 → 43
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(* (* 3.0 a) c)
9.0ms
(* (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
11.0ms
(/ (* 3.0 a) (* (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
153.0ms
(* (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
160.0ms
(/ (* 3.0 a) (* (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))

simplify57.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0292369
11653345
25002345

prune148.0ms

Filtered
55 candidates to 41 candidates (74.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New50555
Fresh549
Picked101
Done000
Total56965

Merged error: 0.0b

Counts
65 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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

series265.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
43.0ms
(- (* b b) (* (* 3.0 a) c))
121.0ms
(* (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c)
24.0ms
(* (* 3.0 a) c)

simplify34.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0223176
1984169
25002166

prune70.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh178
Picked101
Done000
Total31940

Merged error: 0b

Counts
40 → 9

regimes156.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03018
13618
24218
34218

end0.0ms

sample1.3s

Algorithm
intervals
Results
308.0ms4506×body160valid
305.0ms16193×pre80true
256.0ms8193×body80nan
120.0ms3494×body80valid