Details

Time bar (total: 5.4s)

sample318.0ms

Algorithm
intervals
Results
27.0ms62×body1280valid
13.0ms45×body640valid
9.0ms122×body80valid
6.0ms256×pre80true
4.0ms13×body320valid
2.0ms14×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: 0.2b

localize14.0ms

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))

rewrite18.0ms

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 (cos v))
6.0ms
(* e (sin v))

series177.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
55.0ms
(* e (sin v))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0295396
11372344
25001344

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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:
3.0ms
(* e (cos v))
7.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* e (cos v))
64.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms
(/ 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

prune325.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

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)))

rewrite43.0ms

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))))
5.0ms
(* e (cos v))
5.0ms
(* (sqrt e) (sin v))
23.0ms
(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (sqrt e) (+ 1.0 (* e (cos v))))
35.0ms
(* e (cos v))
71.0ms
(* (sqrt e) (sin v))
97.0ms
(* (/ (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

prune345.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (sqrt e) (+ 1.0 (* e (cos v)))))
0.2b
(* (sqrt e) (sin v))
0.3b
(* (* (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))) (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v)))))) (* (sqrt e) (sin v)))
0.5b
(* (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))) (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
222×sqrt-prod
153×add-sqr-sqrt
120×times-frac
80×add-cube-cbrt *-un-lft-identity
35×swap-sqr
34×pow1 associate-*l*
31×associate-*r*
20×add-exp-log add-cbrt-cube
18×unswap-sqr
12×pow-prod-down
10×prod-exp associate-/r/ cbrt-unprod
9×sqrt-pow1 pow1/2 sqrt-div
5×flip3-+ associate-*l/ pow-prod-up flip-+ div-inv
4×add-log-exp
3×rem-sqrt-square pow-sqr *-commutative
2×frac-times associate-*r/
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 217
Calls
4 calls:
7.0ms
(sqrt (/ (sqrt e) (+ 1.0 (* e (cos v)))))
5.0ms
(* (sqrt e) (sin v))
63.0ms
(* (* (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))) (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v)))))) (* (sqrt e) (sin v)))
46.0ms
(* (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))) (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))))

series375.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(sqrt (/ (sqrt e) (+ 1.0 (* e (cos v)))))
73.0ms
(* (sqrt e) (sin v))
97.0ms
(* (* (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))) (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v)))))) (* (sqrt e) (sin v)))
88.0ms
(* (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))) (sqrt (/ (sqrt e) (+ 1.0 (* e (cos v))))))

simplify147.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
08903038
144802696
250012611

prune541.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes107.0ms

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

sample2.0s

Algorithm
intervals
Results
720.0ms1586×body1280valid
372.0ms1291×body640valid
337.0ms4222×body80valid
176.0ms8000×pre80true
124.0ms603×body320valid
42.0ms298×body160valid