Details

Time bar (total: 3.7s)

sample95.0ms

Algorithm
intervals
Results
45.0ms881×body80nan
13.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

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: 1.0b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×*-commutative
17×associate-*l/
15×associate-*r/
12×times-frac associate-/l/
10×associate-/r* div-inv
9×clear-num
8×associate-*l*
7×associate-*r*
6×frac-2neg associate-/l*
3×un-div-inv
Counts
4 → 55
Calls
4 calls:
4.0ms
(* 3.0 (/ x (* y 27.0)))
3.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
10.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series174.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0299269
11330265
25001256

prune233.0ms

Filtered
67 candidates to 56 candidates (83.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New66167
Fresh000
Picked011
Done000
Total66268

Merged error: 1.0b

Counts
68 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(/ (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))) (/ 3.0 1.0))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×*-commutative
15×associate-*r/
14×associate-*l/
12×times-frac associate-/l/
11×associate-/r* div-inv
10×clear-num
7×frac-2neg associate-*r* associate-*l*
6×associate-/l*
3×associate-/r/ un-div-inv
1×acos-asin div-sub
Counts
4 → 58
Calls
4 calls:
4.0ms
(* 3.0 (/ x (* y 27.0)))
3.0ms
(/ (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))) (/ 3.0 1.0))
10.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series172.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(/ (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))) (/ 3.0 1.0))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0311305
11350301
25002291

prune235.0ms

Filtered
70 candidates to 58 candidates (82.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done011
Total70272

Merged error: 1.0b

Counts
72 → 2

regimes250.0ms

Accuracy

0% (0.0b remaining)

Error of 1.3b against oracle of 1.3b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12210

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23941×body80nan
415.0ms8000×body80valid