Details

Time bar (total: 4.5s)

sample308.0ms

Algorithm
intervals
Results
23.0ms53×body1280valid
9.0ms34×body640valid
7.0ms138×body80valid
4.0ms256×pre80true
4.0ms21×body320valid
1.0ms10×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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))

rewrite21.0ms

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×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u 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 → 65
Calls
3 calls:
7.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
7.0ms
(* e (cos v))

series185.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms
(* e (sin v))
59.0ms
(* e (cos v))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0303422
11415368
25001362

prune181.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (* e (cos v)) (* e (cos v)))
0.1b
(pow (* e (cos v)) 3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
23×add-exp-log add-cbrt-cube
20×pow-prod-down
13×add-sqr-sqrt
11×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l*
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×pow-unpow *-commutative
2×pow-pow pow-plus pow-exp rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr sqr-pow
Counts
4 → 100
Calls
4 calls:
4.0ms
(* e (cos v))
4.0ms
(* e (cos v))
7.0ms
(* (* e (cos v)) (* e (cos v)))
4.0ms
(pow (* e (cos v)) 3)

series190.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* e (cos v))
34.0ms
(* e (cos v))
55.0ms
(* (* e (cos v)) (* e (cos v)))
65.0ms
(pow (* e (cos v)) 3)

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0207346
11089332
25001330

prune295.0ms

Filtered
112 candidates to 64 candidates (57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ e (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))

rewrite44.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 162
Calls
4 calls:
5.0ms
(/ e (sqrt (+ 1.0 (* e (cos v)))))
21.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
6.0ms
(* e (cos v))
4.0ms
(* e (cos v))

series252.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ e (sqrt (+ 1.0 (* e (cos v)))))
83.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
37.0ms
(* e (cos v))
34.0ms
(* e (cos v))

simplify84.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06731932
130031762
250021670

prune453.0ms

Filtered
174 candidates to 120 candidates (69.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 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)))

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×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u 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 → 123
Calls
3 calls:
4.0ms
(* e (cos v))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* e (cos v))
68.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
84.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05301326
123771222
250011212

prune337.0ms

Filtered
132 candidates to 108 candidates (81.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes52.0ms

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
02420
12420

end0.0ms

sample1.6s

Algorithm
intervals
Results
631.0ms1504×body1280valid
330.0ms1276×body640valid
231.0ms4299×body80valid
114.0ms611×body320valid
113.0ms8000×pre80true
41.0ms310×body160valid