Details

Time bar (total: 4.3s)

sample298.0ms

Algorithm
intervals
Results
22.0ms52×body1280valid
11.0ms40×body640valid
9.0ms136×body80valid
4.0ms24×body320valid
4.0ms256×pre80true
1.0ms4×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Filtered
1 candidates to 0 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 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (sin 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 (cos v))
6.0ms
(* e (sin v))

series192.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
63.0ms
(* e (sin v))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune152.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (sin v))
0.2b
(* (* 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 (sin v))
7.0ms
(* (* e (cos v)) (* e (cos v)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* e (cos v))
36.0ms
(* e (cos v))
38.0ms
(* e (sin v))
60.0ms
(* (* e (cos v)) (* e (cos v)))

simplify162.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0186378
1860300
24588289
35001289

prune172.0ms

Filtered
100 candidates to 55 candidates (55.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh077
Picked011
Done000
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
66×times-frac
49×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
30×associate-*r* associate-*l*
22×add-exp-log add-cbrt-cube
11×unswap-sqr
10×pow1
6×sqrt-div prod-exp associate-/r* associate-/r/ cbrt-unprod
5×cbrt-undiv div-exp
4×add-log-exp
3×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 154
Calls
4 calls:
6.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
22.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
36.0ms
(* e (cos v))
39.0ms
(* e (cos v))
89.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06361951
128731785
250021709

prune372.0ms

Filtered
166 candidates to 112 candidates (67.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1633166
Fresh156
Picked101
Done011
Total1659174

Merged error: 0.0b

Counts
174 → 9

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)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* e (cos v))
71.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
89.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify68.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05181298
123271224
250011224

prune280.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh347
Picked011
Done011
Total1278135

Merged error: 0b

Counts
135 → 8

regimes65.0ms

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

sample1.6s

Algorithm
intervals
Results
635.0ms1471×body1280valid
334.0ms1274×body640valid
233.0ms4286×body80valid
112.0ms645×body320valid
107.0ms8000×pre80true
39.0ms324×body160valid