Details

Time bar (total: 3.9s)

analyze25.0ms

Algorithm
search

sample258.0ms

Algorithm
intervals
Results
193.0ms13×body320valid
26.0ms51×body1280valid
12.0ms39×body640valid
10.0ms144×body80valid
5.0ms256×pre80true
1.0ms9×body160valid

simplify397.0ms

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

localize13.0ms

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))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune100.0ms

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
(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b
(* e (cos 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:
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms
(* e (cos v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
6.0ms
(* e (cos v))
22.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250021224

prune152.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh145
Picked011
Done011
Total1267133

Merged error: 0b

Counts
133 → 7

localize18.0ms

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
(* (sin v) (pow e 1/2))
0.3b
(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite27.0ms

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:
9.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
5.0ms
(* (sin v) (pow e 1/2))
7.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
6.0ms
(* e (cos v))
13.0ms
(* (sin v) (pow e 1/2))
10.0ms
(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify105.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0630827
13504679
25001676

prune127.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh044
Picked011
Done022
Total1047111

Merged error: 0b

Counts
111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* e (sin v))) (cbrt (* e (sin v))))
16.2b
(cbrt (* e (sin v)))
16.2b
(cbrt (* e (sin v)))
16.2b
(cbrt (* e (sin v)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* e (sin v))) (cbrt (* e (sin v))))
2.0ms
(cbrt (* e (sin v)))
3.0ms
(cbrt (* e (sin v)))
4.0ms
(cbrt (* e (sin v)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (* e (sin v))) (cbrt (* e (sin v))))
22.0ms
(cbrt (* e (sin v)))
23.0ms
(cbrt (* e (sin v)))
25.0ms
(cbrt (* e (sin v)))

simplify91.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0197476
1659425
23252358
35001336

prune69.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done033
Total70777

Merged error: 0b

Counts
77 → 7

regimes159.0ms

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

analyze17.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
709.0ms1486×body1280valid
350.0ms1179×body640valid
297.0ms4322×body80valid
148.0ms8000×pre80true
143.0ms660×body320valid
50.0ms353×body160valid

Profiling

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