Details

Time bar (total: 5.9s)

sample295.0ms

Algorithm
intervals
Results
15.0ms35×body1280valid
9.0ms157×body80valid
9.0ms34×body640valid
4.0ms24×body320valid
4.0ms256×pre80true
1.0ms6×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite17.0ms

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))))
3.0ms
(* e (sin v))
5.0ms
(* e (cos v))

series182.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms
(* e (sin v))
57.0ms
(* e (cos v))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune159.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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)))))
37.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))

series251.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
84.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
38.0ms
(* e (cos v))
35.0ms
(* e (cos v))

simplify77.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06361951
128731785
250021709

prune429.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite25.0ms

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:
8.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms
(* e (cos v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms
(* e (cos v))
81.0ms
(/ 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
250011224

prune323.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
1566×times-frac
742×add-sqr-sqrt
740×add-cube-cbrt *-un-lft-identity
564×sqrt-prod
91×associate-/r*
59×div-inv
22×add-exp-log add-cbrt-cube associate-/l*
10×cbrt-undiv div-exp
6×pow1
4×add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 756
Calls
4 calls:
8.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms
(* e (cos v))
30.0ms
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
13.0ms
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series307.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms
(* e (cos v))
94.0ms
(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
110.0ms
(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify157.0ms

Algorithm
egg-herbie
Counts
768 → 768
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0228814944
1500214401

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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
01412
11412

end0.0ms

sample1.6s

Algorithm
intervals
Results
631.0ms1469×body1280valid
309.0ms1159×body640valid
235.0ms4413×body80valid
110.0ms8000×pre80true
109.0ms616×body320valid
42.0ms343×body160valid