Details

Time bar (total: 5.7s)

sample342.0ms

Algorithm
intervals
Results
13.0ms32×body1280valid
9.0ms36×body640valid
9.0ms148×body80valid
5.0ms30×body320valid
4.0ms256×pre80true
1.0ms10×body160valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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:
15.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms
(* e (cos v))
13.0ms
(* e (sin v))

series184.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms
(* e (cos v))
57.0ms
(* e (sin v))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0295396
11372344
25001344

prune157.0ms

Pruning

8 alts after pruning (8 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 (cos v))
0.1b
(* e (cos v))
0.2b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

rewrite95.0ms

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:
15.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
8.0ms
(* e (cos v))
8.0ms
(* e (cos v))
57.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
38.0ms
(* e (cos v))
35.0ms
(* e (cos v))
89.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06361951
128731785
250021709

prune420.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite51.0ms

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:
11.0ms
(* e (cos v))
23.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* e (cos v))
72.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
86.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05181298
123271224
250011224

prune330.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt sqrt-prod
68×times-frac
60×associate-*l*
49×add-cube-cbrt *-un-lft-identity
31×associate-*r*
22×add-exp-log add-cbrt-cube
16×sqrt-div
15×pow1
14×unswap-sqr
9×prod-exp cbrt-unprod
6×frac-times associate-*r/ pow-prod-down associate-/r/
4×associate-*l/ *-commutative add-log-exp
3×flip3-+ flip-+ div-inv
2×cbrt-undiv div-exp
Counts
4 → 166
Calls
4 calls:
8.0ms
(* e (cos v))
9.0ms
(* e (cos v))
63.0ms
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
93.0ms
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

series738.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* e (cos v))
36.0ms
(* e (cos v))
460.0ms
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
200.0ms
(* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (* (sqrt (/ e (sqrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))))

simplify121.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
010092832
146922584
250012578

prune533.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes82.0ms

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

sample1.7s

Algorithm
intervals
Results
673.0ms1488×body1280valid
331.0ms1232×body640valid
235.0ms4334×body80valid
113.0ms619×body320valid
101.0ms8000×pre80true
41.0ms327×body160valid