Details

Time bar (total: 3.3s)

sample294.0ms

Algorithm
intervals
Results
30.0ms552×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune13.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.3b
(/ 2.0 (* r r))
5.5b
(* (* (* w w) r) r)
11.1b
(* (* w w) r)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*l*
6×*-commutative
2×associate-/r*
1×frac-2neg clear-num fma-udef div-inv
Counts
4 → 14
Calls
4 calls:
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
3.0ms
(/ 2.0 (* r r))
5.0ms
(* (* (* w w) r) r)
6.0ms
(* (* w w) r)

series191.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
31.0ms
(/ 2.0 (* r r))
31.0ms
(* (* (* w w) r) r)
24.0ms
(* (* w w) r)

simplify43.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
010080
135780
2143280
3500174

prune63.0ms

Filtered
26 candidates to 13 candidates (50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New22426
Fresh101
Picked101
Done000
Total24428

Merged error: 0.1b

Counts
28 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
0.2b
(* w (* w r))
0.3b
(/ 2.0 (* r r))
5.5b
(* (* w (* w r)) r)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×*-commutative
4×associate-*r* associate-*l*
2×associate-/r*
1×frac-2neg clear-num fma-udef div-inv
Counts
4 → 14
Calls
4 calls:
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
3.0ms
(* w (* w r))
3.0ms
(/ 2.0 (* r r))
5.0ms
(* (* w (* w r)) r)

series176.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
17.0ms
(* w (* w r))
23.0ms
(/ 2.0 (* r r))
36.0ms
(* (* w (* w r)) r)

simplify40.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
09978
132078
2127178
3500172

prune72.0ms

Filtered
26 candidates to 14 candidates (53.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23326
Fresh123
Picked101
Done000
Total25530

Merged error: 0.1b

Counts
30 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5) 3.0)
0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
0.3b
(/ 2.0 (* r r))
0.4b
(* (* w r) (* w r))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×*-commutative
2×swap-sqr associate-*r* associate-*l* associate-/r* fma-udef
1×pow2 sub-neg flip3-- frac-2neg associate--l+ clear-num flip-- div-inv
Counts
4 → 19
Calls
4 calls:
2.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5) 3.0)
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
3.0ms
(/ 2.0 (* r r))
5.0ms
(* (* w r) (* w r))

series262.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5) 3.0)
103.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
23.0ms
(/ 2.0 (* r r))
31.0ms
(* (* w r) (* w r))

simplify60.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0140185
1488185
22165177
35001164

prune92.0ms

Filtered
31 candidates to 20 candidates (64.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New27431
Fresh224
Picked101
Done000
Total30636

Merged error: 0.1b

Counts
36 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5) 3.0)
0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
0.2b
(/ (/ 2.0 r) r)
0.4b
(* (* w r) (* w r))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×*-commutative
3×associate-/l/
2×frac-2neg swap-sqr associate-*r* associate-*l* clear-num fma-udef div-inv
1×pow2 sub-neg flip3-- associate--l+ flip-- associate-/l*
Counts
4 → 21
Calls
4 calls:
2.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5) 3.0)
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
3.0ms
(/ (/ 2.0 r) r)
5.0ms
(* (* w r) (* w r))

series261.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5) 3.0)
99.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
27.0ms
(/ (/ 2.0 r) r)
30.0ms
(* (* w r) (* w r))

simplify71.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0146189
1491188
22357180
35001167

prune78.0ms

Filtered
33 candidates to 21 candidates (63.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh325
Picked011
Done000
Total33639

Merged error: 0.1b

Counts
39 → 6

regimes125.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample1.3s

Algorithm
intervals
Results
916.0ms17207×body80valid