Details

Time bar (total: 3.9s)

sample50.0ms

Algorithm
intervals
Results
12.0ms524×pre80true
9.0ms135×body160valid
9.0ms268×body80nan
4.0ms121×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

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: 28.2b

Counts
2 → 1

localize10.0ms

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))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×*-commutative
8×prod-diff
6×associate-*l*
2×neg-sub0 associate-+l- flip3-+ fma-neg associate-/r* flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- fma-def frac-2neg div-sub clear-num flip-- div-inv
Counts
4 → 30
Calls
4 calls:
6.0ms
(- (* 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))
6.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify133.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0296286
11077259
24554250
35001248

prune88.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New35742
Fresh000
Picked101
Done000
Total36743

Merged error: 0.4b

Counts
43 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(fma (* 3.0 c) a 0)
0.3b
(/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/r/
6×times-frac *-commutative
5×div-inv
4×flip3-- flip--
3×frac-2neg clear-num associate-/l/ associate-/l*
2×associate-*l* associate-/r*
1×fma-udef
Counts
4 → 26
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
1.0ms
(fma (* 3.0 c) a 0)
7.0ms
(/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
9.0ms
(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series420.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
31.0ms
(fma (* 3.0 c) a 0)
189.0ms
(/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
179.0ms
(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify85.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0228376
1682340
23406294
35001292

prune126.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New281038
Fresh606
Picked101
Done000
Total351045

Merged error: 0.0b

Counts
45 → 10

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))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×associate-/l*
16×*-commutative
12×associate-*l* associate-/l/
8×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/
6×times-frac
5×div-inv
4×flip3-+ flip-+
3×frac-2neg div-sub distribute-frac-neg clear-num
2×neg-sub0 neg-mul-1 associate-/r*
Counts
4 → 50
Calls
4 calls:
6.0ms
(* (* 3.0 a) c)
4.0ms
(* (* 3.0 a) c)
9.0ms
(/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))))
12.0ms
(/ (/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series381.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
189.0ms
(/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))))
153.0ms
(/ (/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0313563
11190512
25001482

prune171.0ms

Filtered
62 candidates to 52 candidates (83.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58462
Fresh639
Picked101
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize11.0ms

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×*-commutative
8×prod-diff
6×associate-*l*
2×flip3-+ fma-neg associate-/r/ flip-+ associate-/l*
1×+-commutative sub-neg flip3-- frac-2neg clear-num flip-- div-inv
Counts
4 → 27
Calls
4 calls:
6.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
10.0ms
(/ (* 1 c) (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* (* 3.0 a) c)

series318.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
81.0ms
(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
172.0ms
(/ (* 1 c) (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms
(* (* 3.0 a) c)

simplify134.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0225254
1890228
24646219
35001218

prune69.0ms

Filtered
39 candidates to 23 candidates (59.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New38139
Fresh066
Picked101
Done000
Total39746

Merged error: 0b

Counts
46 → 7

regimes133.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268
1428
2428

end0.0ms

sample1.4s

Algorithm
intervals
Results
309.0ms4487×body160valid
306.0ms16723×pre80true
285.0ms8723×body80nan
125.0ms3513×body80valid