Details

Time bar (total: 3.7s)

sample54.0ms

Algorithm
intervals
Results
13.0ms158×body160valid
10.0ms523×pre80true
8.0ms267×body80nan
4.0ms39×body320valid
2.0ms59×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: 43.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.2b
(+ (- 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))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
103.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify111.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0249203
1917193
23692186
35001185

prune68.0ms

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: 0.3b

Counts
32 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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))

series383.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
199.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
22.0ms
(* 3.0 (* a c))
143.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify34.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0265450
1966407
25002353

prune143.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New39948
Fresh303
Picked101
Done000
Total43952

Merged error: 0.0b

Counts
52 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ 3.0 (* 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
0.3b
(* 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
6×associate-/r/
5×clear-num
4×*-commutative associate-/l/
3×flip3-- frac-2neg associate-/r* flip-- div-inv
2×associate-*r* associate-*l* un-div-inv
1×sub-neg
Counts
4 → 27
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
8.0ms
(/ 3.0 (* 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
8.0ms
(* 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

series286.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
123.0ms
(/ 3.0 (* 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
96.0ms
(* 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

simplify35.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0245224
11051210
25001200

prune130.0ms

Filtered
39 candidates to 29 candidates (74.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New35439
Fresh628
Picked101
Done000
Total42648

Merged error: 0b

Counts
48 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.1b
(/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×flip3-- flip--
2×sub-neg associate-*l* associate-/r/ *-commutative
1×associate--l- neg-sub0 frac-2neg clear-num div-inv
Counts
4 → 17
Calls
4 calls:
5.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
6.0ms
(/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)

series312.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
170.0ms
(/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
44.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)

simplify84.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0188185
1692181
22691172
35001170

prune58.0ms

Filtered
29 candidates to 21 candidates (72.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New29029
Fresh055
Picked011
Done000
Total29635

Merged error: 0b

Counts
35 → 6

regimes116.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1218
2218

end0.0ms

sample1.4s

Algorithm
intervals
Results
321.0ms4854×body160valid
306.0ms16342×pre80true
258.0ms8342×body80nan
139.0ms1353×body320valid
63.0ms1793×body80valid