Details

Time bar (total: 3.8s)

analyze26.0ms

Algorithm
search

sample261.0ms

Algorithm
intervals
Results
219.0ms59×body1280valid
11.0ms36×body640valid
9.0ms135×body80valid
5.0ms256×pre80true
3.0ms15×body320valid
2.0ms11×body160valid

simplify384.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune5.0ms

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))

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

series44.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
15.0ms
(* e (sin v))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune101.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New62668
Fresh000
Picked011
Done000
Total62769

Merged error: 0.0b

Counts
69 → 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)))

rewrite21.0ms

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)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
22.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05181298
123271224
250021224

prune171.0ms

Filtered
101 candidates to 126 candidates (-24.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh235
Picked101
Done011
Total1258133

Merged error: 0.0b

Counts
133 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.3b
(* (sin v) (pow e 1/2))
0.3b
(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
22×add-cbrt-cube
20×add-sqr-sqrt
18×prod-exp
13×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
8×pow1 cbrt-unprod
5×div-exp
4×unpow-prod-down add-log-exp unswap-sqr
3×cbrt-undiv pow-to-exp times-frac pow-exp associate-/r* sqrt-prod *-commutative
2×pow-prod-down associate-/r/ sqr-pow
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 92
Calls
4 calls:
12.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
5.0ms
(* (sin v) (pow e 1/2))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
10.0ms
(* (sin v) (pow e 1/2))
10.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify103.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0630827
13504679
25001676

prune147.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh066
Picked011
Done011
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (sin v))
0.2b
(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
0.9b
(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-exp-log
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
22×add-cbrt-cube
14×div-exp
9×pow1
8×associate-/r*
7×cbrt-undiv
6×associate-*r* associate-*l* prod-exp div-inv associate-/l*
4×cbrt-unprod add-log-exp
3×rec-exp 1-exp
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ unswap-sqr
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 115
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (sin v))
6.0ms
(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
7.0ms
(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
7.0ms
(* e (sin v))
21.0ms
(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
19.0ms
(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

simplify61.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04821045
12348905
25002865

prune101.0ms

Filtered
74 candidates to 127 candidates (-71.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1252127
Fresh336
Picked101
Done022
Total1297136

Merged error: 0b

Counts
136 → 7

regimes180.0ms

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

analyze17.0ms

Algorithm
search

sample1.8s

Algorithm
intervals
Results
697.0ms1486×body1280valid
363.0ms1237×body640valid
290.0ms4353×body80valid
143.0ms8000×pre80true
117.0ms592×body320valid
46.0ms332×body160valid

Profiling

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