Details

Time bar (total: 4.1s)

analyze26.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
24.8%0.2%75%13
24.9%0.1%75%14

sample256.0ms

Algorithm
intervals
Results
194.0ms19×body320valid
21.0ms42×body1280valid
13.0ms44×body640valid
10.0ms139×body80valid
5.0ms256×pre80true
2.0ms12×body160valid

simplify443.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02211
12211

prune13.0ms

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: 0.1b

Counts
2 → 2

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
12×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l*
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
1×frac-2neg associate-*r/ clear-num
Counts
3 → 81
Calls
3 calls:
5.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
11.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series49.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
29.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051391095

prune142.0ms

Filtered
67 candidates to 90 candidates (-34.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh101
Picked101
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
48×times-frac
35×add-cube-cbrt *-un-lft-identity
30×associate-*r* associate-*l*
27×sqrt-prod
20×add-exp-log add-cbrt-cube
11×pow1 unswap-sqr
6×sqrt-div prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+
2×div-inv
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ associate-*l/
Counts
4 → 128
Calls
4 calls:
2.0ms
(sqrt (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
21.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
6.0ms
(* e (cos v))
19.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049561999
149561999

prune209.0ms

Filtered
97 candidates to 140 candidates (-44.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh077
Picked011
Done000
Total1408148

Merged error: 0.0b

Counts
148 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (/ 1 (/ (+ 1.0 (* e (cos v))) (sin v))))
0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.3b
(/ 1 (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
108×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
38×add-exp-log
22×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
9×pow1
8×prod-exp
7×cbrt-undiv
6×associate-*l* associate-/l* unswap-sqr
4×rec-exp 1-exp cbrt-unprod add-log-exp
2×frac-2neg pow-prod-down clear-num associate-/r/ *-commutative associate-/l/
1×pow-flip flip3-+ associate-*r/ un-div-inv flip-+ inv-pow
Counts
4 → 196
Calls
4 calls:
4.0ms
(* e (cos v))
16.0ms
(* e (/ 1 (/ (+ 1.0 (* e (cos v))) (sin v))))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ 1 (/ (+ 1.0 (* e (cos v))) (sin v)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
19.0ms
(* e (/ 1 (/ (+ 1.0 (* e (cos v))) (sin v))))
14.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
19.0ms
(/ 1 (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify69.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
055713011

prune249.0ms

Filtered
138 candidates to 208 candidates (-50.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2053208
Fresh246
Picked101
Done011
Total2088216

Merged error: 0.0b

Counts
216 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* e (cos v))
0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 117
Calls
3 calls:
4.0ms
(* e (cos v))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
14.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
19.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify61.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049722019
149722019

prune142.0ms

Filtered
102 candidates to 126 candidates (-23.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh066
Picked011
Done011
Total12410134

Merged error: 0.0b

Counts
134 → 10

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

analyze18.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
24.8%0.2%75%13
24.9%0.1%75%14

sample1.9s

Algorithm
intervals
Results
706.0ms1467×body1280valid
386.0ms1245×body640valid
303.0ms4339×body80valid
149.0ms8000×pre80true
129.0ms617×body320valid
49.0ms332×body160valid

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