Details

Time bar (total: 4.3s)

sample304.0ms

Algorithm
intervals
Results
17.0ms40×body1280valid
10.0ms157×body80valid
9.0ms33×body640valid
4.0ms256×pre80true
3.0ms18×body320valid
1.0ms8×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: 0.2b

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))

rewrite21.0ms

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))
8.0ms
(* e (sin v))

series187.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
62.0ms
(* e (sin v))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune149.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New62668
Fresh000
Picked101
Done000
Total63669

Merged error: 0.0b

Counts
69 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
0.0b
(/ 1 (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
27×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
22×add-cbrt-cube
21×associate-*r*
18×times-frac
14×pow1 prod-exp
8×cbrt-unprod
7×associate-*l*
6×div-exp
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv rec-exp 1-exp associate-/r* *-commutative associate-/l*
2×flip3-+ flip-+ div-inv unswap-sqr
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 109
Calls
4 calls:
10.0ms
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
4.0ms
(/ 1 (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
4.0ms
(* e (sin v))

series194.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
34.0ms
(/ 1 (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
40.0ms
(* e (sin v))

simplify68.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0473831
12499708
25002681

prune186.0ms

Filtered
121 candidates to 72 candidates (59.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1210121
Fresh055
Picked011
Done000
Total1216127

Merged error: 0.0b

Counts
127 → 6

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)))

rewrite24.0ms

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))
6.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* e (cos v))
68.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
82.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250011224

prune282.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1233126
Fresh134
Picked011
Done011
Total1248132

Merged error: 0b

Counts
132 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt e) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.2b
(* (sqrt e) (sin v))
0.3b
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
36×times-frac
33×associate-*l*
25×sqrt-prod
22×add-exp-log add-cbrt-cube
13×pow1
8×prod-exp cbrt-unprod
7×associate-*r*
6×associate-/l*
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/r* *-commutative unswap-sqr
2×flip3-+ flip-+ div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
4.0ms
(* e (cos v))
8.0ms
(* (sqrt e) (sin v))
12.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
73.0ms
(* (sqrt e) (sin v))
98.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

simplify91.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07021261
132321095
250011092

prune278.0ms

Filtered
137 candidates to 97 candidates (70.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh145
Picked011
Done022
Total1378145

Merged error: 0b

Counts
145 → 8

regimes100.0ms

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
0177
1177

end0.0ms

sample1.7s

Algorithm
intervals
Results
642.0ms1485×body1280valid
351.0ms1296×body640valid
262.0ms4296×body80valid
112.0ms619×body320valid
104.0ms8000×pre80true
39.0ms304×body160valid

Profiling

Loading profile data...