Details

Time bar (total: 11.6s)

sample188.0ms

Algorithm
intervals
Results
70.0ms58×body2560valid
47.0ms69×body1280valid
16.0ms35×body640valid
11.0ms4×body5120valid
8.0ms24×body320valid
6.0ms57×body80valid
2.0ms9×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune20.0ms

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: 47.2b

Counts
2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
2.1b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
33.0b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
37.2b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite25.0ms

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

series44.0ms

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

simplify22.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05479934

prune292.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New552176
Fresh011
Picked101
Done000
Total562278

Merged error: 41.9b

Counts
78 → 22

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
2.1b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
37.2b
(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))
9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series45.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
11.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
12.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify29.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05328792

prune279.0ms

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

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New461460
Fresh31821
Picked101
Done000
Total503282

Merged error: 40.7b

Counts
82 → 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

prune177.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03131
Picked011
Done000
Total03232

Merged error: 40.7b

Counts
32 → 32

localize18.0ms

Local error

Found 4 expressions with local error:

16.1b
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
16.1b
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
16.1b
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
37.6b
(cos (* (* (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
12×associate-*r/
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 (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
7.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
7.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
23.0ms
(cos (* (* (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
40.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
43.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
17.0ms
(cos (* (* (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))

simplify31.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
052521166

prune191.0ms

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

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New481361
Fresh42630
Picked101
Done011
Total534093

Merged error: 40.2b

Counts
93 → 40

regimes4.3s

Accuracy

0% (4.5b remaining)

Error of 44.5b against oracle of 40.0b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.3s1816×body2560valid
1.6s2315×body1280valid
550.0ms1167×body640valid
205.0ms1853×body80valid
199.0ms558×body320valid
158.0ms58×body5120valid
55.0ms233×body160valid

Profiling

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