Details

Time bar (total: 4.7s)

analyze25.0ms

Algorithm
search

sample251.0ms

Algorithm
intervals
Results
197.0ms36×body640valid
23.0ms50×body1280valid
9.0ms139×body80valid
5.0ms256×pre80true
3.0ms17×body320valid
2.0ms14×body160valid

simplify389.0ms

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))

series43.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
15.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune99.0ms

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)))

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)))

series43.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05181298
123271224
250021224

prune176.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1197126
Fresh415
Picked011
Done011
Total12310133

Merged error: 0.0b

Counts
133 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
36×times-frac
33×associate-*l*
25×sqrt-prod
22×add-exp-log add-cbrt-cube
13×pow1
8×prod-exp cbrt-unprod
7×associate-*r*
6×associate-/l*
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/r* *-commutative unswap-sqr
2×flip3-+ flip-+ div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 125
Calls
4 calls:
7.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
12.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
5.0ms
(* (sqrt e) (sin v))

series72.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
28.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
14.0ms
(* (sqrt e) (sin v))

simplify102.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07571264
138191122
250031119

prune165.0ms

Filtered
98 candidates to 137 candidates (-39.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh167
Picked011
Done022
Total13710147

Merged error: 0b

Counts
147 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.3b
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1566×times-frac
742×add-sqr-sqrt
740×add-cube-cbrt *-un-lft-identity
564×sqrt-prod
91×associate-/r*
59×div-inv
22×add-exp-log add-cbrt-cube associate-/l*
10×cbrt-undiv div-exp
6×pow1
4×add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 756
Calls
4 calls:
4.0ms
(* e (cos v))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
27.0ms
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
9.0ms
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series80.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
14.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
28.0ms
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
31.0ms
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify171.0ms

Algorithm
egg-herbie
Counts
768 → 768
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0232714946
1500114415

prune661.0ms

Filtered
386 candidates to 768 candidates (-99.0%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7680768
Fresh066
Picked011
Done033
Total76810778

Merged error: 0b

Counts
778 → 10

regimes205.0ms

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

analyze16.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
730.0ms1553×body1280valid
368.0ms1253×body640valid
280.0ms4234×body80valid
146.0ms8000×pre80true
122.0ms619×body320valid
48.0ms341×body160valid

Profiling

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