Details

Time bar (total: 12.0s)

analyze3.0ms

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

sample198.0ms

Algorithm
intervals
Results
82.0ms66×body2560valid
60.0ms82×body1280valid
26.0ms44×body640valid
5.0ms16×body320valid
5.0ms41×body80valid
3.0ms1×body5120valid
1.0ms6×body160valid

simplify15.0ms

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: 50.6b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
2.4b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
37.3b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
38.5b
(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:
13.0ms
(* (+ (* 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))))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series44.0ms

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)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify25.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05569934

prune326.0ms

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

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New542276
Fresh011
Picked101
Done000
Total552378

Merged error: 45.7b

Counts
78 → 23

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
0.1b
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
2.4b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
37.3b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

rewrite30.0ms

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×associate-*r/ pow-prod-down
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
3×*-commutative
2×cbrt-undiv div-exp unswap-sqr
1×1-exp div-inv
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
6.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
5.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
21.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
11.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
052451203

prune384.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New772299
Fresh41822
Picked101
Done000
Total8240122

Merged error: 43.9b

Counts
122 → 40

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune225.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03939
Picked011
Done000
Total04040

Merged error: 43.9b

Counts
40 → 40

localize21.0ms

Local error

Found 4 expressions with local error:

18.4b
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
18.4b
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
18.4b
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
37.2b
(cos (* (* (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))) (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))) (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
15×cbrt-div
6×frac-times flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow1/3
Counts
4 → 49
Calls
4 calls:
7.0ms
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
7.0ms
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
7.0ms
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
23.0ms
(cos (* (* (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))) (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))) (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
42.0ms
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
45.0ms
(cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
15.0ms
(cos (* (* (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))) (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))) (cbrt (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049821166
149821166

prune190.0ms

Filtered
55 candidates to 61 candidates (-10.9%)
Pruning

44 alts after pruning (43 fresh and 1 done)

PrunedKeptTotal
New501161
Fresh63238
Picked101
Done011
Total5744101

Merged error: 43.7b

Counts
101 → 44

regimes4.6s

Accuracy

0% (4.5b remaining)

Error of 44.4b against oracle of 39.8b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.5s1858×body2560valid
1.6s2243×body1280valid
569.0ms1191×body640valid
206.0ms1862×body80valid
188.0ms545×body320valid
97.0ms35×body5120valid
62.0ms266×body160valid

Profiling

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