Details

Time bar (total: 4.0s)

sample60.0ms

Algorithm
intervals
Results
40.0ms683×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
05515
117914
256113
3182413
4500213

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* (* a a) (+ 1.0 a))
0.2b
(* (* b b) (- 1.0 (* 3.0 a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
18×associate-*r/
8×+-commutative associate-+l+ associate-+r+
6×sub-neg
5×*-commutative
4×flip3-+ associate-*l* frac-add flip-+
3×flip3-- flip--
1×pow-to-exp sqr-pow
Counts
4 → 47
Calls
4 calls:
14.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series296.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
56.0ms
(* (* a a) (+ 1.0 a))
58.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
115.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0468476
12121458
25001446

prune145.0ms

Filtered
59 candidates to 30 candidates (50.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57259
Fresh000
Picked011
Done000
Total57360

Merged error: 0.1b

Counts
60 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* (* a a) (+ 1.0 a))
0.2b
(* (* b b) (- 1.0 (* 3.0 a)))
0.8b
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
18×associate-*r/
8×+-commutative associate-+l+ associate-+r+
6×sub-neg
5×*-commutative
4×flip3-+ associate-*l* frac-add flip-+
3×flip3-- flip--
1×fma-udef
Counts
4 → 46
Calls
4 calls:
13.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
1.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series262.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
57.0ms
(* (* a a) (+ 1.0 a))
57.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
79.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify61.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0445473
12076453
25003441

prune153.0ms

Filtered
58 candidates to 26 candidates (44.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361

Merged error: 0.1b

Counts
61 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* (* a a) (+ 1.0 a))
0.2b
(* (* b b) (- 1.0 (* 3.0 a)))
0.4b
(pow (/ 1 a) -4.0)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
18×associate-*r/
8×+-commutative associate-+l+ associate-+r+
6×sub-neg
5×*-commutative
4×flip3-+ associate-*l* frac-add flip-+
3×flip3-- flip--
1×pow-to-exp unpow-prod-down pow-pow div-inv inv-pow sqr-pow
Counts
4 → 49
Calls
4 calls:
13.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
2.0ms
(pow (/ 1 a) -4.0)

series374.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
57.0ms
(* (* a a) (+ 1.0 a))
52.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
190.0ms
(pow (/ 1 a) -4.0)

simplify61.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0476472
12083455
25003441

prune138.0ms

Filtered
61 candidates to 31 candidates (50.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh000
Picked101
Done022
Total61364

Merged error: 0.0b

Counts
64 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (pow a 4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 1.0)
0.0b
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b
(* (* a a) (+ 1.0 a))
0.2b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
40×distribute-rgt-in distribute-lft-in
36×associate-+r+
22×associate--l+
18×associate-*r/
16×associate-+l+
15×+-commutative
11×sub-neg
5×*-commutative
4×flip3-- flip3-+ associate-*l* frac-add flip-- flip-+
Counts
4 → 71
Calls
4 calls:
15.0ms
(- (+ (pow a 4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 1.0)
18.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms
(* (* a a) (+ 1.0 a))
5.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (+ (pow a 4.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 1.0)
73.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
58.0ms
(* (* a a) (+ 1.0 a))
52.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify72.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0546706
12331678
25002662

prune197.0ms

Filtered
83 candidates to 48 candidates (57.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh000
Picked011
Done022
Total82486

Merged error: 0.0b

Counts
86 → 4

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s20539×body80valid