Details

Time bar (total: 3.4s)

sample254.0ms

Algorithm
intervals
Results
188.0ms133×body80valid
25.0ms54×body1280valid
13.0ms46×body640valid
5.0ms256×pre80true
4.0ms18×body320valid
1.0ms5×body160valid

simplify12.0ms

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: 0.1b

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

rewrite18.0ms

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

series41.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms
(* e (sin v))
14.0ms
(* e (cos v))

simplify49.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune83.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh000
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
21.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune163.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh033
Picked011
Done011
Total1247131

Merged error: 0.0b

Counts
131 → 7

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))
0.2b
(* (sqrt e) (* (sin v) (pow e 1/2)))
0.3b
(* (sin v) (pow e 1/2))

rewrite30.0ms

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:
10.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
6.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))
5.0ms
(* (sin v) (pow e 1/2))

series55.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
9.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))
11.0ms
(* (sin v) (pow e 1/2))

simplify102.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0630827
13495679
25003676

prune133.0ms

Filtered
73 candidates to 104 candidates (-42.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh134
Picked101
Done022
Total1056111

Merged error: 0.0b

Counts
111 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.2b
(* (sqrt e) (* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2)))
0.3b
(* (sin v) (pow (sqrt e) 1/2))
0.3b
(* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
59×prod-exp
24×add-sqr-sqrt associate-*r*
22×add-cbrt-cube
15×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp
14×unpow-prod-down
13×associate-*l*
11×cbrt-unprod
10×sqrt-prod
8×pow1
5×unswap-sqr
4×*-commutative add-log-exp
3×sqr-pow
2×pow-prod-down
Counts
4 → 112
Calls
4 calls:
4.0ms
(* e (cos v))
11.0ms
(* (sqrt e) (* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2)))
6.0ms
(* (sin v) (pow (sqrt e) 1/2))
9.0ms
(* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2))

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
9.0ms
(* (sqrt e) (* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2)))
19.0ms
(* (sin v) (pow (sqrt e) 1/2))
10.0ms
(* (* (sin v) (pow (sqrt e) 1/2)) (pow (sqrt e) 1/2))

simplify78.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0541979
12554747
25001658

prune129.0ms

Filtered
70 candidates to 124 candidates (-77.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1222124
Fresh033
Picked011
Done022
Total1228130

Merged error: 0b

Counts
130 → 8

regimes190.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample1.8s

Algorithm
intervals
Results
673.0ms1490×body1280valid
371.0ms1279×body640valid
265.0ms4347×body80valid
130.0ms8000×pre80true
119.0ms602×body320valid
38.0ms282×body160valid

Profiling

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