Details

Time bar (total: 11.0s)

sample180.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
63.0ms52×body2560valid
57.0ms79×body1280valid
18.0ms39×body640valid
7.0ms22×body320valid
6.0ms57×body80valid
4.0ms6×body160valid
3.0ms1×body5120valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 47.2b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (+ (* y 2.0) 1.0) z) t)
3.6b
(* (* (+ (* a 2.0) 1.0) b) t)
33.5b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.9b
(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
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:
10.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
7.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series40.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
11.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0371438
11835354
25001354

prune252.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New462066
Fresh000
Picked101
Done000
Total472067

Merged error: 42.6b

Counts
67 → 20

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
2.7b
(* (* (+ (* y 2.0) 1.0) z) t)
34.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite24.0ms

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)
7.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series52.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 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)
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0379619
12014501
25001501

prune288.0ms

Filtered
57 candidates to 82 candidates (-43.9%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New651782
Fresh41519
Picked101
Done000
Total7032102

Merged error: 41.0b

Counts
102 → 32

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

prune201.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 41.0b

Counts
32 → 32

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
2.8b
(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
35.1b
(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l/ add-log-exp
2×pow1/3
1×flip3-+ associate-*r* associate-*l* *-commutative flip-+
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
12.0ms
(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
4.0ms
(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series115.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
31.0ms
(cbrt t)
49.0ms
(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
14.0ms
(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0357538
11394432
25002386

prune96.0ms

Filtered
45 candidates to 65 candidates (-44.4%)
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New461965
Fresh42630
Picked101
Done011
Total514697

Merged error: 40.5b

Counts
97 → 46

regimes3.9s

Accuracy

0% (4.7b remaining)

Error of 45.1b against oracle of 40.4b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060
180
280

end0.0ms

sample5.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
2.2s1753×body2560valid
1.7s2376×body1280valid
566.0ms1165×body640valid
205.0ms584×body320valid
205.0ms1780×body80valid
116.0ms43×body5120valid
74.0ms299×body160valid

Profiling

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