Details

Time bar (total: 3.9s)

sample56.0ms

Algorithm
intervals
Results
13.0ms117×body320valid
10.0ms509×pre80true
8.0ms253×body80nan
6.0ms80×body160valid
2.0ms13×body640valid
2.0ms46×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

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: 49.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
24.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite27.0ms

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))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
4.0ms
(* (* 3.0 a) c)
6.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(* (* 3.0 a) c)
76.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify121.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0249203
1917193
23692186
35001185

prune75.0ms

Filtered
31 candidates to 24 candidates (77.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New28331
Fresh000
Picked101
Done000
Total29332

Merged error: 0.2b

Counts
32 → 3

localize14.0ms

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))

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)
9.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 3.0 (* a c))
12.0ms
(/ (/ (* 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)
180.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* 3.0 (* a c))
150.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify33.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0265450
1966407
25002353

prune128.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh112
Picked101
Done000
Total45651

Merged error: 0b

Counts
51 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ 1 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
7×associate-/r/
3×flip3-- clear-num *-commutative flip-- associate-/l*
2×sub-neg frac-2neg associate-*r/ associate-*l* div-inv associate-/l/ remove-double-div
1×associate--l- neg-sub0 associate-/r* inv-pow
Counts
4 → 26
Calls
4 calls:
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
5.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
9.0ms
(/ 1 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))

series263.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
43.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
121.0ms
(/ 1 (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) c))

simplify34.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0238233
1952216
25001201

prune100.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh145
Picked011
Done000
Total38644

Merged error: 0b

Counts
44 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.1b
(- (* b b) (* (* 3.0 a) c))
0.1b
(/ c (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.2b
(* (* 3.0 a) c)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×flip3-- *-commutative flip--
2×sub-neg associate-*r/ associate-*l* associate-/r* associate-/r/
1×associate--l- neg-sub0 frac-2neg clear-num div-inv
Counts
4 → 19
Calls
4 calls:
6.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
6.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(/ c (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
4.0ms
(* (* 3.0 a) c)

series317.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
44.0ms
(- (* b b) (* (* 3.0 a) c))
175.0ms
(/ c (* 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
23.0ms
(* (* 3.0 a) c)

simplify176.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0202194
1866180
24525172
35001172

prune69.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh134
Picked011
Done011
Total31637

Merged error: 0b

Counts
37 → 6

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1259
2259

end0.0ms

sample1.6s

Algorithm
intervals
Results
390.0ms3618×body320valid
306.0ms15996×pre80true
263.0ms7996×body80nan
211.0ms2919×body160valid
75.0ms501×body640valid
34.0ms962×body80valid