Details

Time bar (total: 8.7s)

sample177.0ms

Algorithm
intervals
Results
74.0ms65×body2560valid
53.0ms81×body1280valid
14.0ms35×body640valid
5.0ms57×body80valid
5.0msbody5120valid
3.0ms10×body320valid
1.0msbody160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04214
19914
222214
340214
467614
592814
6111614
7120614
8136814
9138014
10138014

prune4.0ms

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: 47.5b

Counts
2 → 1

localize30.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* (+ (* y 2.0) 1.0) z) t)
3.6b
(* (* (+ (* a 2.0) 1.0) b) t)
34.8b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.1b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
associate-*l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
add-log-exp
flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
45.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0371438
11835354
25001354

prune317.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New471966
Fresh000
Picked101
Done000
Total481967

Merged error: 42.5b

Counts
67 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
2.9b
(* (* (+ (* y 2.0) 1.0) z) t)
36.1b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*l/
prod-exp cbrt-unprod
associate-*r*
associate-*l* pow-prod-down add-log-exp
cbrt-undiv times-frac div-exp associate-/r*
flip3-+ *-commutative flip-+ associate-/l/
frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 70
Calls
4 calls:
4.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
10.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series196.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
48.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
41.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0379619
12014501
25001501

prune306.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New631982
Fresh61218
Picked101
Done000
Total7031101

Merged error: 40.8b

Counts
101 → 31

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune100.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03030
Picked011
Done000
Total03131

Merged error: 40.8b

Counts
31 → 31

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
0.2b
(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
1.8b
(* (+ (* y 2.0) 1.0) (* z t))
36.1b
(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
associate-*l*
associate-*r* pow-prod-down associate-*l/ add-log-exp
cbrt-undiv times-frac div-exp associate-/r*
flip3-+ *-commutative flip-+ associate-/l/
frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 70
Calls
4 calls:
4.0ms
(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
9.0ms
(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
8.0ms
(* (+ (* y 2.0) 1.0) (* z t))
3.0ms
(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series186.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
43.0ms
(/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)
42.0ms
(* (+ (* y 2.0) 1.0) (* z t))
33.0ms
(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0371621
11683503
25002499

prune179.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New74882
Fresh42529
Picked101
Done011
Total7934113

Merged error: 40.6b

Counts
113 → 34

regimes1.7s

Accuracy

0% (4.3b remaining)

Error of 44.0b against oracle of 39.6b and baseline of 44.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060
180
280

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.2s1856×body2560valid
1.5s2229×body1280valid
505.0ms1154×body640valid
186.0ms1915×body80valid
166.0ms539×body320valid
110.0ms43×body5120valid
57.0ms264×body160valid

Profiling

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