Details

Time bar (total: 9.3s)

analyze3.0ms

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

sample181.0ms

Algorithm
intervals
Results
76.0ms65×body2560valid
56.0ms77×body1280valid
13.0ms31×body640valid
6.0ms55×body80valid
5.0ms2×body5120valid
5.0ms16×body320valid
2.0ms10×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune17.0ms

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

localize28.0ms

Local error

Found 4 expressions with local error:

2.7b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
2.8b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
34.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
36.2b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

rewrite28.0ms

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)))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 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))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 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))))

simplify24.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05569934

prune289.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New571976
Fresh101
Picked101
Done000
Total591978

Merged error: 42.6b

Counts
78 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (/ t 16.0))
0.2b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
2.8b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
34.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
19×add-sqr-sqrt
16×pow1
15×associate-*r*
14×add-cube-cbrt *-un-lft-identity
12×prod-exp
10×times-frac cbrt-unprod
9×associate-*l*
7×pow-prod-down
5×associate-*r/
4×add-log-exp
3×*-commutative
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ flip-+ unswap-sqr
1×1-exp div-inv
Counts
4 → 83
Calls
4 calls:
6.0ms
(* z (/ t 16.0))
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)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (/ t 16.0))
24.0ms
(* 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))))

simplify36.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052691022

prune336.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New761995
Fresh51318
Picked101
Done000
Total8232114

Merged error: 40.5b

Counts
114 → 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

prune181.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 40.5b

Counts
32 → 32

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.8b
(* (+ (* y 2.0) 1.0) (* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) 16.0)))
34.2b
(cos (* (+ (* y 2.0) 1.0) (* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) 16.0))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
26×add-cbrt-cube
19×prod-exp cbrt-unprod
18×pow1
10×pow-prod-down
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*r/ add-log-exp
3×cbrt-undiv div-exp associate-*l*
2×frac-times flip3-+ pow1/3 associate-*l/ flip-+
1×associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (+ (* y 2.0) 1.0) (* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) 16.0)))
5.0ms
(cos (* (+ (* y 2.0) 1.0) (* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) 16.0))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
14.0ms
(* (+ (* y 2.0) 1.0) (* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) 16.0)))
17.0ms
(cos (* (+ (* y 2.0) 1.0) (* (* z (* (cbrt t) (cbrt t))) (/ (cbrt t) 16.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04947714
14947714

prune88.0ms

Filtered
46 candidates to 76 candidates (-65.2%)
Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New67976
Fresh32730
Picked011
Done011
Total7038108

Merged error: 40.3b

Counts
108 → 38

regimes2.4s

Accuracy

0% (4.6b remaining)

Error of 44.3b against oracle of 39.7b and baseline of 44.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.3s1798×body2560valid
1.7s2303×body1280valid
534.0ms1129×body640valid
208.0ms1875×body80valid
197.0ms584×body320valid
96.0ms35×body5120valid
67.0ms276×body160valid

Profiling

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