Details

Time bar (total: 3.6s)

sample258.0ms

Algorithm
intervals
Results
189.0ms256×pre80true
22.0ms49×body1280valid
12.0ms42×body640valid
8.0ms134×body80valid
4.0ms21×body320valid
1.0ms10×body160valid

simplify398.0ms

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 (sin v))
0.2b
(* e (cos v))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
pow1
associate-*r* associate-*l*
times-frac prod-exp associate-/r* cbrt-unprod add-log-exp
cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
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))

series44.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms
(* e (sin v))
15.0ms
(* e (cos v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune98.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sin v) (+ 1.0 (* e (cos v))))
0.2b
(* e (cos v))
0.2b
(* 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
pow1
associate-*l*
associate-/r/
prod-exp associate-/r* cbrt-unprod associate-/l* add-log-exp unswap-sqr
cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
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)))))

series43.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
22.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0379724
11736658
25002658

prune108.0ms

Filtered
68 candidates to 90 candidates (-32.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh246
Picked011
Done000
Total91697

Merged error: 0.0b

Counts
97 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b
(* 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
div-inv associate-/l*
pow1
cbrt-undiv div-exp
associate-*r* associate-*l* add-log-exp
frac-2neg clear-num associate-/l/
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)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
6.0ms
(* e (cos v))
19.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune156.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1233126
Fresh134
Picked011
Done011
Total1248132

Merged error: 0.0b

Counts
132 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.2b
(* e (cos v))
0.2b
(* (sin v) (pow e 1/2))
0.3b
(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite28.0ms

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*
pow1 cbrt-unprod
div-exp
unpow-prod-down add-log-exp unswap-sqr
cbrt-undiv pow-to-exp times-frac pow-exp associate-/r* sqrt-prod *-commutative
pow-prod-down associate-/r/ sqr-pow
frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 92
Calls
4 calls:
9.0ms
(/ (* (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)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* (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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0630827
13504679
25001676

prune117.0ms

Filtered
74 candidates to 104 candidates (-40.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh145
Picked101
Done022
Total1057112

Merged error: 0.0b

Counts
112 → 7

regimes105.0ms

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
653.0ms1486×body1280valid
340.0ms1203×body640valid
260.0ms4383×body80valid
135.0ms8000×pre80true
121.0ms628×body320valid
39.0ms300×body160valid

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