Details

Time bar (total: 5.2s)

sample329.0ms

Algorithm
intervals
Results
22.0ms48×body1280valid
12.0ms44×body640valid
9.0ms129×body80valid
5.0ms256×pre80true
4.0ms22×body320valid
2.0ms13×body160valid

simplify13.0ms

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: 0.2b

Counts
2 → 1

localize12.0ms

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))

rewrite20.0ms

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))
6.0ms
(* e (sin v))

series188.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
64.0ms
(* e (sin v))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune150.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New60868
Fresh000
Picked011
Done000
Total60969

Merged error: 0.0b

Counts
69 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ e (sqrt (+ 1.0 (* e (cos v)))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.2b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
66×times-frac
49×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
30×associate-*r* associate-*l*
22×add-exp-log add-cbrt-cube
11×unswap-sqr
10×pow1
6×sqrt-div prod-exp associate-/r* associate-/r/ cbrt-unprod
5×cbrt-undiv div-exp
4×add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 154
Calls
4 calls:
5.0ms
(/ e (sqrt (+ 1.0 (* e (cos v)))))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
20.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(/ e (sqrt (+ 1.0 (* e (cos v)))))
35.0ms
(* e (cos v))
38.0ms
(* e (cos v))
87.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify87.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07031918
131711763
250031687

prune356.0ms

Filtered
166 candidates to 111 candidates (66.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1642166
Fresh257
Picked101
Done011
Total1678175

Merged error: 0.0b

Counts
175 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b
(* e (cos v))
0.3b
(/ 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:
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms
(* e (cos v))
6.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
35.0ms
(* e (cos v))
85.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune283.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1233126
Fresh156
Picked011
Done011
Total12410134

Merged error: 0b

Counts
134 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.2b
(* (* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (sqrt (/ e (sqrt (+ 1.0 (* e (cos v))))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
0.4b
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
194×sqrt-prod
154×add-sqr-sqrt
120×times-frac
81×add-cube-cbrt *-un-lft-identity
57×associate-*r*
35×swap-sqr
34×associate-*l*
28×pow1
22×add-exp-log sqrt-div add-cbrt-cube
21×unswap-sqr
10×associate-/r/
9×prod-exp cbrt-unprod
8×sqrt-pow1 pow1/2 pow-prod-down
6×frac-times associate-*l/
5×flip3-+ pow-prod-up flip-+ div-inv
4×associate-*r/ *-commutative add-log-exp
3×pow-sqr
2×cbrt-undiv div-exp
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 222
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
23.0ms
(* (* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (sqrt (/ e (sqrt (+ 1.0 (* e (cos v))))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
25.0ms
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* e (cos v))
34.0ms
(* e (cos v))
277.0ms
(* (* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (sqrt (/ e (sqrt (+ 1.0 (* e (cos v))))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
164.0ms
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010193111
150022809

prune469.0ms

Filtered
234 candidates to 135 candidates (57.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2340234
Fresh077
Picked011
Done022
Total23410244

Merged error: 0b

Counts
244 → 10

regimes115.0ms

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
0126
1126

end0.0ms

sample1.8s

Algorithm
intervals
Results
676.0ms1508×body1280valid
373.0ms1279×body640valid
259.0ms4254×body80valid
140.0ms8000×pre80true
124.0ms622×body320valid
45.0ms337×body160valid

Profiling

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