Details

Time bar (total: 4.0s)

sample331.0ms

Algorithm
intervals
Results
18.0ms40×body1280valid
14.0ms45×body640valid
9.0ms145×body80valid
5.0ms256×pre80true
4.0ms22×body320valid
1.0ms4×body160valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Filtered
1 candidates to 0 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 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×pow1
6×associate-*r* associate-*l*
3×times-frac prod-exp associate-/r* cbrt-unprod add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
3 → 59
Calls
3 calls:
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
7.0ms
(* e (sin v))

series175.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
44.0ms
(* e (cos v))
46.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune143.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize9.0ms

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)))))

rewrite19.0ms

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))
8.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
37.0ms
(* e (cos v))
85.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0379724
11736658
25002658

prune185.0ms

Filtered
90 candidates to 68 candidates (75.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New88290
Fresh156
Picked101
Done000
Total90797

Merged error: 0.0b

Counts
97 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
12×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
4×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* e (cos v))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
4.0ms
(* e (sin v))

series145.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* e (cos v))
38.0ms
(* e (cos v))
35.0ms
(* e (cos v))
37.0ms
(* e (sin v))

simplify92.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0108289
1399249
2985249
31502249
43419249
55001249

prune163.0ms

Filtered
84 candidates to 56 candidates (66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh066
Picked011
Done000
Total84791

Merged error: 0.0b

Counts
91 → 7

localize10.0ms

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)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* e (cos v))
68.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune251.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1251126
Fresh055
Picked101
Done011
Total1267133

Merged error: 0.0b

Counts
133 → 7

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01614
11614

end0.0ms

sample1.7s

Algorithm
intervals
Results
665.0ms1520×body1280valid
336.0ms1242×body640valid
251.0ms4295×body80valid
136.0ms8000×pre80true
124.0ms623×body320valid
44.0ms320×body160valid

Profiling

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