Details

Time bar (total: 3.7s)

sample48.0ms

Algorithm
intervals
Results
10.0ms524×pre80true
10.0ms135×body160valid
9.0ms268×body80nan
4.0ms121×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: 28.2b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* 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))
28.1b
(+ (- 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)
8.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
103.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify113.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0249203
1917193
23692186
35001185

prune76.0ms

Filtered
31 candidates to 24 candidates (77.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New25631
Fresh000
Picked101
Done000
Total26632

Merged error: 0.4b

Counts
32 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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)
3.0ms
(* 3.0 (* a c))
9.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
11.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series361.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
174.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
146.0ms
(/ (/ (* 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

prune134.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh505
Picked101
Done000
Total46854

Merged error: 0.0b

Counts
54 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
12×*-commutative
11×associate-/l*
8×associate-*l* associate-/r/
7×associate-/l/
6×times-frac
5×div-inv
4×flip3-- flip--
3×frac-2neg clear-num
2×associate-/r*
Counts
4 → 36
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
12.0ms
(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
11.0ms
(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series358.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
22.0ms
(* (* 3.0 a) c)
175.0ms
(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
142.0ms
(/ (/ (* (* 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 (26.0ms)

IterNodesCost
0267454
11033411
25001364

prune127.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh347
Picked011
Done000
Total48856

Merged error: 0b

Counts
56 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b
(/ c (- (/ (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))) 1)))
0.2b
(* (* 3.0 a) c)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
5×associate-/r/ distribute-neg-frac
3×associate-/r* div-inv
2×frac-2neg flip3-+ associate-*l* clear-num *-commutative flip-+ associate-/l/
1×+-commutative distribute-lft-neg-in neg-mul-1 sub-neg flip3-- distribute-rgt-neg-in flip--
Counts
4 → 21
Calls
4 calls:
5.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
10.0ms
(/ c (- (/ (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))) 1)))
4.0ms
(* (* 3.0 a) c)

series311.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
78.0ms
(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
171.0ms
(/ c (- (/ (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))) 1)))
20.0ms
(* (* 3.0 a) c)

simplify77.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0190195
1634191
22334186
35002185

prune75.0ms

Filtered
33 candidates to 26 candidates (78.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh156
Picked101
Done011
Total34741

Merged error: 0b

Counts
41 → 7

regimes128.0ms

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
0219
1259
2259

end0.0ms

sample1.4s

Algorithm
intervals
Results
324.0ms4487×body160valid
320.0ms16723×pre80true
289.0ms8723×body80nan
128.0ms3513×body80valid