Details

Time bar (total: 9.6s)

analyze3.0ms

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

sample188.0ms

Algorithm
intervals
Results
80.0ms65×body2560valid
58.0ms70×body1280valid
14.0ms30×body640valid
7.0ms62×body80valid
5.0ms16×body320valid
3.0ms1×body5120valid
3.0ms12×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune19.0ms

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: 46.0b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.1b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
32.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
38.1b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 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:
12.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
12.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
11.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify25.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05569934

prune287.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New581876
Fresh011
Picked101
Done000
Total591978

Merged error: 41.1b

Counts
78 → 19

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
3.0b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
32.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite20.0ms

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))
9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series45.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
14.0ms
(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

prune268.0ms

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

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New471360
Fresh21618
Picked101
Done000
Total502979

Merged error: 39.8b

Counts
79 → 29

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

prune167.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New000
Fresh02828
Picked011
Done000
Total02929

Merged error: 39.8b

Counts
29 → 29

localize18.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
32.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
32.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
32.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×associate-*r/ add-log-exp
3×associate-*l* pow-prod-down
2×frac-times flip3-+ associate-*l/ flip-+
1×cbrt-undiv div-exp associate-*r* *-commutative
Counts
4 → 46
Calls
4 calls:
9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
3.0ms
(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
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
11.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify25.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05183740

prune162.0ms

Filtered
45 candidates to 58 candidates (-28.9%)
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh12627
Picked101
Done011
Total543387

Merged error: 39.6b

Counts
87 → 33

regimes2.8s

Accuracy

0% (4.3b remaining)

Error of 44.0b against oracle of 39.7b and baseline of 44.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s1818×body2560valid
1.6s2231×body1280valid
565.0ms1190×body640valid
212.0ms1920×body80valid
185.0ms532×body320valid
137.0ms51×body5120valid
63.0ms258×body160valid

Profiling

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