Details

Time bar (total: 3.8s)

analyze27.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
24.8%0.2%75%13
24.9%0.1%75%14

sample265.0ms

Algorithm
intervals
Results
201.0ms256×pre80true
24.0ms49×body1280valid
11.0ms36×body640valid
10.0ms139×body80valid
5.0ms25×body320valid
1.0ms7×body160valid

simplify417.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02211
12211

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize23.0ms

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))

rewrite18.0ms

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))

simplify57.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04957599
14957599

prune96.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New61768
Fresh101
Picked011
Done000
Total62870

Merged error: 0.0b

Counts
70 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
15×associate-*l*
13×pow1 add-cube-cbrt *-un-lft-identity
8×prod-exp cbrt-unprod
7×associate-*r* sqrt-prod
5×pow-prod-down
4×add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r* *-commutative unswap-sqr
2×associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
10.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
5.0ms
(* (sqrt e) (sin v))
7.0ms
(* (sqrt e) (* (sqrt e) (sin v)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
8.0ms
(* e (cos v))
13.0ms
(* (sqrt e) (sin v))
9.0ms
(* (sqrt e) (* (sqrt e) (sin v)))

simplify29.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04983945
14983945

prune111.0ms

Filtered
67 candidates to 98 candidates (-46.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New96298
Fresh246
Picked011
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.3b
(* (sin v) (sqrt (sqrt e)))
0.3b
(* (sqrt (sqrt e)) (* (sqrt e) (* (sin v) (sqrt (sqrt e)))))
0.3b
(* (sqrt e) (* (sin v) (sqrt (sqrt e))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
23×add-sqr-sqrt
22×pow1 add-exp-log add-cbrt-cube
21×associate-*l*
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
11×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp unswap-sqr
Counts
4 → 92
Calls
4 calls:
4.0ms
(* e (cos v))
6.0ms
(* (sin v) (sqrt (sqrt e)))
11.0ms
(* (sqrt (sqrt e)) (* (sqrt e) (* (sin v) (sqrt (sqrt e)))))
8.0ms
(* (sqrt e) (* (sin v) (sqrt (sqrt e))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* e (cos v))
15.0ms
(* (sin v) (sqrt (sqrt e)))
9.0ms
(* (sqrt (sqrt e)) (* (sqrt e) (* (sin v) (sqrt (sqrt e)))))
24.0ms
(* (sqrt e) (* (sin v) (sqrt (sqrt e))))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04877797
14877797

prune114.0ms

Filtered
69 candidates to 104 candidates (-50.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1022104
Fresh235
Picked011
Done022
Total1048112

Merged error: 0.0b

Counts
112 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt e))
0.1b
(* e (cos v))
0.2b
(* (sin v) (pow e 3/4))
0.3b
(* (sqrt (sqrt e)) (* (sin v) (pow e 3/4)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-exp-log
19×sqrt-prod
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
11×associate-*r* prod-exp
10×pow1
5×cbrt-unprod
4×unpow-prod-down sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×pow-to-exp rem-sqrt-square pow1/2 pow-prod-down pow-exp sqr-pow
Counts
4 → 87
Calls
4 calls:
2.0ms
(sqrt (sqrt e))
4.0ms
(* e (cos v))
5.0ms
(* (sin v) (pow e 3/4))
8.0ms
(* (sqrt (sqrt e)) (* (sin v) (pow e 3/4)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt e))
6.0ms
(* e (cos v))
22.0ms
(* (sin v) (pow e 3/4))
18.0ms
(* (sqrt (sqrt e)) (* (sin v) (pow e 3/4)))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04881756
14881756

prune104.0ms

Filtered
64 candidates to 99 candidates (-54.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done033
Total998107

Merged error: 0.0b

Counts
107 → 8

regimes184.0ms

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
01211
11211

end0.0ms

sample1.9s

Algorithm
intervals
Results
709.0ms1487×body1280valid
394.0ms1268×body640valid
295.0ms4313×body80valid
154.0ms8000×pre80true
132.0ms623×body320valid
44.0ms309×body160valid

Profiling

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