Details

Time bar (total: 9.2s)

sample184.0ms

Algorithm
intervals
Results
74.0ms55×body2560valid
54.0ms80×body1280valid
15.0ms33×body640valid
6.0ms18×body320valid
6.0ms51×body80valid
5.0ms1×body5120valid
4.0ms18×body160valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 47.9b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (+ (* y 2.0) 1.0) z) t)
3.2b
(* (* (+ (* a 2.0) 1.0) b) t)
34.2b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.8b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×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)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series150.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0371438
11835354
25001354

prune327.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New432366
Fresh000
Picked101
Done000
Total442367

Merged error: 43.5b

Counts
67 → 23

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)
1.7b
(* (* (+ (* y 2.0) 1.0) z) t)
34.2b
(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
9×add-cube-cbrt *-un-lft-identity
8×associate-*l/
7×prod-exp cbrt-unprod
6×associate-*r*
4×associate-*l* pow-prod-down add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 70
Calls
4 calls:
3.0ms
(* 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))

series183.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
42.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
41.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0379619
12014501
25001501

prune316.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New612182
Fresh61622
Picked101
Done000
Total6837105

Merged error: 41.6b

Counts
105 → 37

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune120.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03636
Picked011
Done000
Total03737

Merged error: 41.6b

Counts
37 → 37

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.7b
(* (* (+ (* y 2.0) 1.0) z) t)
34.3b
(cos (/ (/ (* (* (+ (* y 2.0) 1.0) z) t) (* (cbrt 16.0) (cbrt 16.0))) (cbrt 16.0)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*l/ add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt 16.0)
1.0ms
(cbrt 16.0)
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms
(cos (/ (/ (* (* (+ (* y 2.0) 1.0) z) t) (* (cbrt 16.0) (cbrt 16.0))) (cbrt 16.0)))

series137.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
43.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
93.0ms
(cos (/ (/ (* (* (+ (* y 2.0) 1.0) z) t) (* (cbrt 16.0) (cbrt 16.0))) (cbrt 16.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0223349
11093289
25001285

prune174.0ms

Filtered
57 candidates to 45 candidates (78.9%)
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New49857
Fresh43135
Picked101
Done011
Total544094

Merged error: 41.4b

Counts
94 → 40

regimes2.1s

Accuracy

6.1% (4.4b remaining)

Error of 44.1b against oracle of 39.7b and baseline of 44.4b

bsearch174.0ms

Steps
ItersRangePoint
5
1.461967341754055e-169
5.2821041482254587e-169
1.8923341242733495e-169
6
-5.395062584354099e-95
-3.4141366788076747e-96
-3.253630448226768e-95

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04715
15115
25115

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.0s1779×body2560valid
1.4s2218×body1280valid
530.0ms1193×body640valid
194.0ms1890×body80valid
185.0ms580×body320valid
125.0ms50×body5120valid
62.0ms290×body160valid

Profiling

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