Details

Time bar (total: 3.9s)

analyze38.0ms

Algorithm
search
sampling

Space saved by range analysis: 75.036609%

Space saved by search: 75.036609%

Guaranteed chance to sample good point: 99.804688%

sample258.0ms

Algorithm
intervals
Results
214.0ms45×body1280valid
11.0ms37×body640valid
9.0ms135×body80valid
6.0ms28×body320valid
5.0ms256×pre80true
2.0ms11×body160valid

simplify402.0ms

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: 0.1b

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))

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))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune111.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

localize17.0ms

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)))

rewrite22.0ms

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

series31.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* e (cos v))
7.0ms
(* e (cos v))
6.0ms
(* e (cos v))
11.0ms
(* (* e (cos v)) (* e (cos v)))

simplify139.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0138375
1679299
23723288
35001288

prune92.0ms

Filtered
55 candidates to 100 candidates (-81.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh077
Picked011
Done000
Total1008108

Merged error: 0.0b

Counts
108 → 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)))

rewrite21.0ms

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)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* e (cos v))
15.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
20.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05181298
123271224
250021224

prune152.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh336
Picked101
Done011
Total1286134

Merged error: 0.0b

Counts
134 → 6

localize20.0ms

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
(* (sqrt e) (* (sin v) (pow e 1/2)))
0.2b
(* (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))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))
6.0ms
(* (sin v) (pow e 1/2))

series59.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
7.0ms
(* e (cos v))
9.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))
12.0ms
(* (sin v) (pow e 1/2))

simplify104.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0630827
13495679
25003676

prune122.0ms

Filtered
73 candidates to 104 candidates (-42.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh044
Picked011
Done011
Total1037110

Merged error: 0b

Counts
110 → 7

regimes113.0ms

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
01614
11614

end0.0ms

analyze28.0ms

Algorithm
search
sampling

Space saved by range analysis: 75.036609%

Space saved by search: 75.036609%

Guaranteed chance to sample good point: 99.804688%

sample1.9s

Algorithm
intervals
Results
730.0ms1540×body1280valid
374.0ms1267×body640valid
297.0ms4297×body80valid
148.0ms8000×pre80true
124.0ms601×body320valid
42.0ms295×body160valid

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