Details

Time bar (total: 4.7s)

sample307.0ms

Algorithm
intervals
Results
18.0ms40×body1280valid
12.0ms49×body640valid
7.0ms140×body80valid
4.0ms256×pre80true
3.0ms18×body320valid
1.0ms9×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1186
2216
3226
4226

prune3.0ms

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:
5.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms
(* e (sin v))
5.0ms
(* e (cos v))

series183.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms
(* e (sin v))
55.0ms
(* e (cos v))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune162.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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))

rewrite24.0ms

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:
7.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
11.0ms
(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
3.0ms
(* e (cos v))

series169.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
86.0ms
(* 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 (10.0ms)

IterNodesCost
0379724
11736658
25001658

prune227.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
22×add-exp-log add-cbrt-cube
20×times-frac
19×associate-*r*
15×associate-*l*
13×pow1
8×prod-exp sqrt-prod cbrt-unprod
5×pow-prod-down unswap-sqr
4×associate-/r/ add-log-exp
3×cbrt-undiv associate-*r/ div-exp associate-/r* *-commutative associate-/l*
2×flip3-+ flip-+ div-inv
1×frac-2neg clear-num
Counts
4 → 110
Calls
4 calls:
5.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
3.0ms
(* e (cos v))
13.0ms
(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
17.0ms
(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (sin v) (+ 1.0 (* e (cos v))))
38.0ms
(* e (cos v))
132.0ms
(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
97.0ms
(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05541218
126681064
250021064

prune319.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
34×add-exp-log add-cbrt-cube
27×associate-*l* sqrt-prod
22×pow1
21×add-cube-cbrt *-un-lft-identity
20×associate-*r*
17×prod-exp cbrt-unprod
12×times-frac
11×pow-prod-down
7×unswap-sqr
6×associate-*r/
4×*-commutative add-log-exp
3×cbrt-undiv div-exp
2×associate-/r/
1×flip3-+ flip-+ div-inv
Counts
4 → 116
Calls
4 calls:
3.0ms
(* e (cos v))
16.0ms
(* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))
64.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))))
23.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v))))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* e (cos v))
153.0ms
(* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))
97.0ms
(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))))
134.0ms
(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07931590
138701326
250011293

prune330.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample1.6s

Algorithm
intervals
Results
640.0ms1531×body1280valid
332.0ms1254×body640valid
223.0ms4289×body80valid
123.0ms628×body320valid
110.0ms8000×pre80true
37.0ms298×body160valid