Details

Time bar (total: 10.8s)

analyze3.0ms

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

sample182.0ms

Algorithm
intervals
Results
73.0ms54×body2560valid
48.0ms67×body1280valid
26.0ms53×body640valid
7.0ms59×body80valid
7.0ms18×body320valid
1.0msbody160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
077127
177127

prune21.0ms

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: 46.2b

Counts
2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* (+ (* a 2.0) 1.0) b) t)
3.2b
(* (* (+ (* y 2.0) 1.0) z) t)
32.5b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.0b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
associate-*l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
add-log-exp
flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
7.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series42.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
10.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
11.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05021710

prune275.0ms

Filtered
51 candidates to 66 candidates (-29.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New481866
Fresh011
Picked101
Done000
Total491968

Merged error: 41.8b

Counts
68 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
0.1b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.2b
(* (* (+ (* y 2.0) 1.0) z) t)
32.5b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*l/
prod-exp cbrt-unprod
associate-*r*
associate-*l* pow-prod-down add-log-exp
cbrt-undiv times-frac div-exp associate-/r*
flip3-+ *-commutative flip-+ associate-/l/
frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 70
Calls
4 calls:
9.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
3.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series51.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
21.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05129990

prune316.0ms

Filtered
60 candidates to 82 candidates (-36.7%)
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New631982
Fresh41418
Picked101
Done000
Total6833101

Merged error: 39.8b

Counts
101 → 33

localize2.0ms

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

prune181.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03232
Picked011
Done000
Total03333

Merged error: 39.8b

Counts
33 → 33

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 16.0 (* (+ (* y 2.0) 1.0) (* z t)))
0.5b
(/ 1 (/ 16.0 (* (+ (* y 2.0) 1.0) (* z t))))
2.9b
(* (+ (* y 2.0) 1.0) (* z t))
32.4b
(cos (/ 1 (/ 16.0 (* (+ (* y 2.0) 1.0) (* z t)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
42×times-frac
32×add-cbrt-cube
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×div-exp
15×prod-exp
12×associate-*l/
11×associate-/r/
10×pow1 cbrt-undiv associate-/r*
cbrt-unprod
flip3-+ flip-+ div-inv associate-/l*
rec-exp 1-exp add-log-exp
associate-*l* pow-prod-down
frac-2neg clear-num
pow-flip associate-*r* *-commutative inv-pow
Counts
4 → 120
Calls
4 calls:
9.0ms
(/ 16.0 (* (+ (* y 2.0) 1.0) (* z t)))
11.0ms
(/ 1 (/ 16.0 (* (+ (* y 2.0) 1.0) (* z t))))
8.0ms
(* (+ (* y 2.0) 1.0) (* z t))
5.0ms
(cos (/ 1 (/ 16.0 (* (+ (* y 2.0) 1.0) (* z t)))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 16.0 (* (+ (* y 2.0) 1.0) (* z t)))
10.0ms
(/ 1 (/ 16.0 (* (+ (* y 2.0) 1.0) (* z t))))
9.0ms
(* (+ (* y 2.0) 1.0) (* z t))
12.0ms
(cos (/ 1 (/ 16.0 (* (+ (* y 2.0) 1.0) (* z t)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049761875
149761875

prune180.0ms

Filtered
82 candidates to 132 candidates (-61.0%)
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New11913132
Fresh52631
Picked101
Done011
Total12540165

Merged error: 39.6b

Counts
165 → 40

regimes3.7s

Accuracy

0% (4.7b remaining)

Error of 44.2b against oracle of 39.5b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
151

end0.0ms

analyze3.0ms

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

sample5.5s

Algorithm
intervals
Results
2.4s1863×body2560valid
1.6s2240×body1280valid
608.0ms1184×body640valid
226.0ms1902×body80valid
187.0ms538×body320valid
96.0ms34×body5120valid
61.0ms239×body160valid

Profiling

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