Details

Time bar (total: 4.4s)

sample310.0ms

Algorithm
intervals
Results
19.0ms45×body1280valid
10.0ms38×body640valid
7.0ms140×body80valid
5.0ms22×body320valid
4.0ms256×pre80true
1.0ms11×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

localize14.0ms

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))

rewrite20.0ms

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))
8.0ms
(* e (cos v))

series192.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms
(* e (sin v))
61.0ms
(* e (cos v))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune162.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
12×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l*
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv
1×frac-2neg associate-*r/ clear-num
Counts
3 → 81
Calls
3 calls:
5.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
10.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
4.0ms
(* e (cos v))

series175.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
87.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
36.0ms
(* e (cos v))

simplify53.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0379724
11736658
25001658

prune226.0ms

Filtered
90 candidates to 68 candidates (75.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh336
Picked011
Done000
Total90797

Merged error: 0.0b

Counts
97 → 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)))

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

series195.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
39.0ms
(* e (cos v))
89.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify68.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250011224

prune328.0ms

Filtered
126 candidates to 101 candidates (80.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh235
Picked011
Done011
Total1267133

Merged error: 0.0b

Counts
133 → 7

localize13.0ms

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)))

rewrite31.0ms

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))
5.0ms
(* (sqrt e) (sin v))
12.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
75.0ms
(* (sqrt e) (sin v))
101.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

simplify90.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07021261
132321095
250011092

prune334.0ms

Filtered
137 candidates to 97 candidates (70.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1352137
Fresh134
Picked011
Done022
Total1368144

Merged error: 0b

Counts
144 → 8

regimes67.0ms

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
0126
1126

end0.0ms

sample1.7s

Algorithm
intervals
Results
681.0ms1523×body1280valid
328.0ms1243×body640valid
237.0ms4299×body80valid
115.0ms629×body320valid
113.0ms8000×pre80true
38.0ms306×body160valid