Details

Time bar (total: 4.9s)

sample310.0ms

Algorithm
intervals
Results
19.0ms46×body1280valid
9.0ms34×body640valid
7.0ms139×body80valid
6.0ms27×body320valid
4.0ms256×pre80true
1.0ms10×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

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))

rewrite19.0ms

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:
6.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms
(* e (sin v))
7.0ms
(* e (cos v))

series192.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
41.0ms
(* e (sin v))
57.0ms
(* e (cos v))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune188.0ms

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))

rewrite57.0ms

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:
9.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
34.0ms
(* (/ 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))

series274.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
92.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
38.0ms
(* e (cos v))
39.0ms
(* e (cos v))

simplify81.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06502002
129391830
250011738

prune476.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
22×add-exp-log add-cbrt-cube
20×pow-prod-down
16×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow-plus
1×pow2 swap-sqr
Counts
4 → 96
Calls
4 calls:
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
3.0ms
(* e (cos v))
12.0ms
(* (* e (cos v)) (* e (cos v)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* e (cos v))
38.0ms
(* e (cos v))
43.0ms
(* e (cos v))
59.0ms
(* (* e (cos v)) (* e (cos v)))

simplify141.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0142405
1685329
23744318
35003318

prune388.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sqrt (+ 1.0 (* e (cos v)))))
0.1b
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (* (sin v) (/ 1 (sqrt (+ 1.0 (* e (cos v)))))))
0.1b
(* e (cos v))
0.1b
(* e (cos v))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
40×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
31×add-cbrt-cube
30×associate-*l*
21×sqrt-prod
20×prod-exp
15×pow1
12×cbrt-unprod
11×div-exp
7×associate-*r*
6×cbrt-undiv associate-/r*
5×pow-prod-down
4×expm1-log1p-u sqrt-div associate-*r/ associate-/r/ log1p-expm1-u add-log-exp
3×rec-exp pow-flip 1-exp *-commutative associate-/l*
2×frac-times flip3-+ un-div-inv flip-+ div-inv unswap-sqr
1×frac-2neg sqrt-pow1 pow1/2 associate-*l/ clear-num inv-pow
Counts
4 → 147
Calls
4 calls:
6.0ms
(/ 1 (sqrt (+ 1.0 (* e (cos v)))))
36.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (* (sin v) (/ 1 (sqrt (+ 1.0 (* e (cos v)))))))
3.0ms
(* e (cos v))
4.0ms
(* e (cos v))

series249.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ 1 (sqrt (+ 1.0 (* e (cos v)))))
90.0ms
(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (* (sin v) (/ 1 (sqrt (+ 1.0 (* e (cos v)))))))
37.0ms
(* e (cos v))
41.0ms
(* e (cos v))

simplify75.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06231566
130151337
250011261

prune367.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03027
13027

end0.0ms

sample1.6s

Algorithm
intervals
Results
630.0ms1496×body1280valid
328.0ms1255×body640valid
227.0ms4294×body80valid
114.0ms660×body320valid
112.0ms8000×pre80true
35.0ms295×body160valid