Details

Time bar (total: 3.6s)

sample256.0ms

Algorithm
intervals
Results
189.0ms256×pre80true
23.0ms49×body1280valid
10.0ms33×body640valid
8.0ms135×body80valid
7.0ms27×body320valid
2.0ms12×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))

series43.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* 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

prune93.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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

series41.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(* 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 (12.0ms)

IterNodesCost
05181298
123271224
250021224

prune154.0ms

Filtered
126 candidates to 101 candidates (19.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh145
Picked011
Done000
Total1257132

Merged error: 0.0b

Counts
132 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
294×times-frac
196×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
93×sqrt-prod
86×associate-*r*
22×add-exp-log add-cbrt-cube
16×associate-/r* div-inv
11×unswap-sqr
9×associate-*l* associate-/l*
8×pow1
7×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg pow-prod-down clear-num associate-/r/ *-commutative associate-/l/
1×flip3-+ associate-*r/ flip-+
Counts
4 → 274
Calls
4 calls:
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms
(* e (cos v))
30.0ms
(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
8.0ms
(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
6.0ms
(* e (cos v))
32.0ms
(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
39.0ms
(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify59.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011893701
150013428

prune282.0ms

Filtered
286 candidates to 185 candidates (35.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2860286
Fresh055
Picked011
Done011
Total2867293

Merged error: 0.0b

Counts
293 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (sin v))
0.1b
(* e (cos v))
0.2b
(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
0.6b
(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-exp-log
30×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
22×add-cbrt-cube
14×div-exp
9×pow1
8×associate-/r*
7×cbrt-undiv
6×associate-*r* associate-*l* prod-exp div-inv associate-/l*
4×cbrt-unprod add-log-exp
3×rec-exp 1-exp
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ unswap-sqr
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 115
Calls
4 calls:
4.0ms
(* e (sin v))
4.0ms
(* e (cos v))
6.0ms
(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
7.0ms
(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* e (sin v))
6.0ms
(* e (cos v))
19.0ms
(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
19.0ms
(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

simplify65.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04821045
12348905
25002865

prune94.0ms

Filtered
127 candidates to 73 candidates (42.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh044
Picked011
Done022
Total1268134

Merged error: 0b

Counts
134 → 8

regimes170.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample1.9s

Algorithm
intervals
Results
704.0ms1549×body1280valid
350.0ms1181×body640valid
266.0ms4301×body80valid
134.0ms8000×pre80true
124.0ms623×body320valid
48.0ms346×body160valid

Profiling

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