Details

Time bar (total: 9.3s)

analyze3.0ms

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

sample177.0ms

Algorithm
intervals
Results
76.0ms58×body2560valid
55.0ms82×body1280valid
16.0ms37×body640valid
6.0ms55×body80valid
4.0ms14×body320valid
3.0ms1×body5120valid
2.0ms9×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune21.0ms

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: 47.3b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
2.7b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
35.5b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
36.9b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite30.0ms

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:
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
6.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
11.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
11.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify24.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05569934

prune314.0ms

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

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New502676
Fresh101
Picked101
Done000
Total522678

Merged error: 42.7b

Counts
78 → 26

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
2.2b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
36.9b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite21.0ms

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:
6.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series44.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* 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))))

simplify39.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04981792
14981792

prune275.0ms

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

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New441660
Fresh91625
Picked101
Done000
Total543286

Merged error: 41.3b

Counts
86 → 32

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

prune175.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 41.3b

Counts
32 → 32

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* (log (exp (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))))) 1))
0.4b
(log (exp (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))
2.2b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
36.9b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
18×add-cbrt-cube
15×pow1
10×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity cbrt-unprod
6×associate-*l* pow-prod-down
4×associate-*r/ log-pow add-log-exp
3×log-prod exp-prod
2×frac-times flip3-+ associate-*r* associate-*l/ *-commutative flip-+
1×cbrt-undiv 1-exp div-exp rem-log-exp
Counts
4 → 66
Calls
4 calls:
7.0ms
(* x (* (log (exp (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))))) 1))
2.0ms
(log (exp (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (* (log (exp (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))))) 1))
12.0ms
(log (exp (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))
9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
11.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050021050

prune106.0ms

Filtered
50 candidates to 78 candidates (-56.0%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New71778
Fresh42630
Picked101
Done011
Total7634110

Merged error: 41.3b

Counts
110 → 34

regimes2.5s

Accuracy

0% (4.2b remaining)

Error of 44.2b against oracle of 40.0b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.3s1810×body2560valid
1.6s2295×body1280valid
560.0ms1180×body640valid
210.0ms1893×body80valid
171.0ms506×body320valid
104.0ms38×body5120valid
67.0ms278×body160valid

Profiling

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