Details

Time bar (total: 9.2s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
99.7%0%0.3%1

sample178.0ms

Algorithm
intervals
Results
77.0ms61×body2560valid
46.0ms69×body1280valid
22.0ms43×body640valid
6.0ms61×body80valid
6.0ms2×body5120valid
4.0ms14×body320valid
1.0ms6×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 46.5b

Counts
2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

2.5b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
2.7b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
35.8b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
37.1b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
14×pow1
10×associate-*r/ prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
2×cbrt-undiv div-exp associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
12.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify23.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05569934

prune284.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New562076
Fresh101
Picked101
Done000
Total582078

Merged error: 41.5b

Counts
78 → 20

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
2.7b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
37.1b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
17×add-cbrt-cube
13×pow1
10×prod-exp
8×cbrt-unprod
6×associate-*l* pow-prod-down
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r/
3×add-log-exp
2×frac-times flip3-+ associate-*r* associate-*l/ *-commutative flip-+
1×cbrt-undiv 1-exp div-exp
Counts
3 → 51
Calls
3 calls:
8.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series44.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
12.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04981792
14981792

prune269.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New461460
Fresh31619
Picked101
Done000
Total503080

Merged error: 40.0b

Counts
80 → 30

localize1.0ms

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

prune163.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New000
Fresh02929
Picked011
Done000
Total03030

Merged error: 40.0b

Counts
30 → 30

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (pow (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 3))
0.5b
(pow (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 3)
2.7b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
37.1b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1
6×unpow-prod-down cube-prod
5×prod-exp cbrt-unprod
4×associate-*r/ add-log-exp
3×pow-unpow associate-*l* pow-prod-down
2×cube-mult frac-times flip3-+ unpow3 associate-*l/ flip-+ sqr-pow
1×cbrt-undiv pow-to-exp pow-pow pow1/3 div-exp associate-*r* pow-exp *-commutative rem-cbrt-cube rem-cube-cbrt
Counts
4 → 76
Calls
4 calls:
4.0ms
(cbrt (pow (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 3))
4.0ms
(pow (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 3)
11.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt (pow (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 3))
23.0ms
(pow (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 3)
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049561276
149561276

prune126.0ms

Filtered
52 candidates to 88 candidates (-69.2%)
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New79988
Fresh22628
Picked101
Done011
Total8236118

Merged error: 40.0b

Counts
118 → 36

regimes2.7s

Accuracy

0% (4.1b remaining)

Error of 44.0b against oracle of 40.0b and baseline of 44.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.1s1747×body2560valid
1.6s2293×body1280valid
545.0ms1225×body640valid
194.0ms1912×body80valid
178.0ms537×body320valid
121.0ms45×body5120valid
53.0ms241×body160valid

Profiling

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