Details

Time bar (total: 11.6s)

analyze3.0ms

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

sample170.0ms

Algorithm
intervals
Results
67.0ms53×body2560valid
47.0ms70×body1280valid
23.0ms43×body640valid
6.0ms20×body320valid
6.0ms58×body80valid
3.0ms1×body5120valid
2.0ms11×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: 46.4b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.4b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
32.1b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
37.6b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

rewrite29.0ms

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)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
6.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series41.0ms

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)))
11.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify23.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05569934

prune315.0ms

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

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New522476
Fresh011
Picked101
Done000
Total532578

Merged error: 41.6b

Counts
78 → 25

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
0.2b
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
3.4b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
37.6b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

rewrite28.0ms

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

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
23.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
11.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
052451203

prune584.0ms

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

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New762399
Fresh61824
Picked101
Done000
Total8341124

Merged error: 40.1b

Counts
124 → 41

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 (1.0ms)

IterNodesCost
000

prune226.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New000
Fresh04040
Picked011
Done000
Total04141

Merged error: 40.1b

Counts
41 → 41

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* t (+ 1.0 (* 2.0 a)))
0.2b
(* x (* 1 (cos (* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0)))))
3.4b
(* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0))
37.6b
(cos (* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
17×associate-*r*
16×pow1 add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×prod-exp
10×cbrt-unprod
9×times-frac
7×associate-*r/ associate-*l* pow-prod-down
4×add-log-exp
3×flip3-+ *-commutative flip-+
2×cbrt-undiv frac-times div-exp associate-*l/
1×distribute-rgt-in distribute-lft-in 1-exp div-inv unswap-sqr
Counts
4 → 85
Calls
4 calls:
5.0ms
(* t (+ 1.0 (* 2.0 a)))
6.0ms
(* x (* 1 (cos (* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0)))))
9.0ms
(* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0))
3.0ms
(cos (* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* t (+ 1.0 (* 2.0 a)))
20.0ms
(* x (* 1 (cos (* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0)))))
12.0ms
(* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0))
10.0ms
(cos (* (* t (+ 1.0 (* 2.0 a))) (/ b 16.0)))

simplify26.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
053891149

prune112.0ms

Filtered
58 candidates to 97 candidates (-67.2%)
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New88997
Fresh33639
Picked101
Done011
Total9246138

Merged error: 39.8b

Counts
138 → 46

regimes4.6s

Accuracy

24.9% (4.2b remaining)

Error of 43.9b against oracle of 39.7b and baseline of 45.3b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05148
15148

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.2s1811×body2560valid
1.5s2263×body1280valid
532.0ms1167×body640valid
198.0ms1898×body80valid
188.0ms556×body320valid
129.0ms46×body5120valid
57.0ms259×body160valid

Profiling

Loading profile data...