Details

Time bar (total: 3.4s)

sample255.0ms

Algorithm
intervals
Results
195.0ms45×body640valid
23.0ms45×body1280valid
8.0ms132×body80valid
5.0ms256×pre80true
5.0ms23×body320valid
2.0ms11×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

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

series42.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune101.0ms

Filtered
68 candidates to 48 candidates (29.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New62668
Fresh000
Picked101
Done000
Total63669

Merged error: 0.0b

Counts
69 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
22×add-exp-log add-cbrt-cube
20×pow-prod-down
16×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
4×pow-sqr *-commutative pow-prod-up add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 88
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
9.0ms
(* (* e (cos v)) (* e (cos v)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
6.0ms
(* e (cos v))
6.0ms
(* e (cos v))
10.0ms
(* (* e (cos v)) (* e (cos v)))

simplify141.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0138375
1679299
23723288
35001288

prune116.0ms

Filtered
100 candidates to 55 candidates (45.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh055
Picked011
Done000
Total1006106

Merged error: 0.0b

Counts
106 → 6

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)))

rewrite19.0ms

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)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
14.0ms
(/ (+ 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

prune151.0ms

Filtered
126 candidates to 101 candidates (19.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh224
Picked101
Done011
Total1266132

Merged error: 0b

Counts
132 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt e) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.2b
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
0.3b
(* (sqrt e) (sin v))

rewrite28.0ms

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:
5.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
11.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
5.0ms
(* (sqrt e) (sin v))

series75.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
27.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
16.0ms
(* (sqrt e) (sin v))

simplify98.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07571264
138191122
250031119

prune137.0ms

Filtered
137 candidates to 99 candidates (27.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh134
Picked011
Done011
Total1376143

Merged error: 0b

Counts
143 → 6

regimes99.0ms

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
02420
12420

end0.0ms

sample1.9s

Algorithm
intervals
Results
699.0ms1557×body1280valid
359.0ms1254×body640valid
257.0ms4266×body80valid
132.0ms8000×pre80true
121.0ms611×body320valid
42.0ms312×body160valid

Profiling

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