Details

Time bar (total: 4.4s)

sample304.0ms

Algorithm
intervals
Results
21.0ms52×body1280valid
10.0ms40×body640valid
8.0ms140×body80valid
4.0ms256×pre80true
3.0ms15×body320valid
1.0ms9×body160valid

simplify14.0ms

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

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))

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 (sin v))
7.0ms
(* e (cos v))

series187.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms
(* e (sin v))
60.0ms
(* e (cos v))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune150.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

localize12.0ms

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

rewrite41.0ms

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))
22.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ 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))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06591883
129351720
250011644

prune345.0ms

Filtered
166 candidates to 111 candidates (66.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh077
Picked011
Done000
Total1668174

Merged error: 0.0b

Counts
174 → 8

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)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* e (cos v))
68.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05181298
123271224
250011224

prune278.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh156
Picked011
Done011
Total1259134

Merged error: 0b

Counts
134 → 9

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

rewrite29.0ms

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
(* (sin v) (pow e 1/2))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
38.0ms
(* e (cos v))
54.0ms
(* (sin v) (pow e 1/2))
47.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify90.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0573823
12895661
25002647

prune217.0ms

Filtered
104 candidates to 73 candidates (70.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh336
Picked011
Done112
Total1067113

Merged error: 0b

Counts
113 → 7

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.6s

Algorithm
intervals
Results
638.0ms1510×body1280valid
334.0ms1234×body640valid
221.0ms4334×body80valid
110.0ms605×body320valid
100.0ms8000×pre80true
39.0ms317×body160valid