Details

Time bar (total: 4.1s)

sample42.0ms

Algorithm
intervals
Results
19.0ms285×body80valid
5.0ms103×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

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: 20.2b

Counts
2 → 1

localize118.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
4×sqrt-div
3×flip3-- flip--
2×neg-sub0 pow1/2
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 15
Calls
4 calls:
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
5.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify86.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0176232
1676224
22656210
35001208

prune135.0ms

Filtered
27 candidates to 26 candidates (96.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New23427
Fresh000
Picked101
Done000
Total24428

Merged error: 7.4b

Counts
28 → 4

localize127.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.3b
(/ (* a c) b)
4.6b
(/ (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (* 2.0 a))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
2×neg-sub0 flip3-- frac-2neg sqrt-div div-sub clear-num associate-/r* *-commutative flip-- div-inv associate-/l/ associate-/l*
1×associate--l- associate-+l- associate-+r- sub-neg flip3-+ pow1/2 flip-+
Counts
4 → 22
Calls
4 calls:
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(/ (* a c) b)
8.0ms
(/ (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (* 2.0 a))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
20.0ms
(/ (* a c) b)
58.0ms
(/ (+ (- b) (- (* 2.0 (/ (* a c) b)) b)) (* 2.0 a))
78.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify107.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0259219
1937212
23607205
35002202

prune139.0ms

Filtered
34 candidates to 28 candidates (82.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New32234
Fresh123
Picked101
Done000
Total34438

Merged error: 6.6b

Counts
38 → 4

localize117.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 2.0 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b
(- (* b b) (* (* 4.0 a) c))
1.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
4×flip3-- flip--
2×sub-neg sqrt-div associate-/r/ associate-/l*
1×associate--l- neg-sub0 frac-2neg pow1/2 clear-num *-commutative div-inv
Counts
4 → 19
Calls
4 calls:
8.0ms
(/ (* 2.0 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
5.0ms
(- (* b b) (* (* 4.0 a) c))
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(/ (* 2.0 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
51.0ms
(- (* b b) (* (* 4.0 a) c))
81.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify92.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0224250
1792236
23052226
35002225

prune128.0ms

Filtered
31 candidates to 26 candidates (83.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New28331
Fresh033
Picked101
Done000
Total29635

Merged error: 6.5b

Counts
35 → 6

localize121.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.3b
(/ (* a c) b)
4.8b
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (/ (* a c) b)))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-/l*
2×flip3-- frac-2neg sqrt-div clear-num associate-/r/ *-commutative flip-- div-inv
1×+-commutative neg-sub0 associate-+l- flip3-+ pow1/2 flip-+
Counts
4 → 19
Calls
4 calls:
5.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.0ms
(/ (* a c) b)
9.0ms
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (/ (* a c) b)))))
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series352.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
19.0ms
(/ (* a c) b)
186.0ms
(/ (* 2.0 c) (- (- b) (- b (* 2.0 (/ (* a c) b)))))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify91.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0220187
1804181
23286172
35001171

prune110.0ms

Filtered
31 candidates to 26 candidates (83.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh145
Picked101
Done000
Total31637

Merged error: 6.1b

Counts
37 → 6

regimes180.0ms

Accuracy

94.9% (0.8b remaining)

Error of 6.4b against oracle of 5.6b and baseline of 21.3b

bsearch184.0ms

Steps
ItersRangePoint
6
2.066422626357648e+110
1.9801395410105552e+111
5.814135232525877e+110
5
-9.356784633994376e-254
-2.6224388913309515e-254
-2.6712931574782514e-254
8
-2.083222696695489e+156
-8.927571262924557e+151
-1.3324370156406744e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05661
15661

end0.0ms

sample908.0ms

Algorithm
intervals
Results
500.0ms8745×body80valid
142.0ms2855×body80nan