Details

Time bar (total: 1.1m)

sample1.9s

Algorithm
intervals
Results
1.8s1209×body10240exit
31.0ms297×body80valid
14.0ms35×body640valid
9.0ms17×body1280valid
7.0ms25×body320valid
2.0ms11×body160valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0278
1688
22438
312668
450018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
4.2b
(* (* x (pow sin 2.0)) x)
8.6b
(* x (pow sin 2.0))
17.7b
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
82×prod-exp
34×add-cbrt-cube
18×pow-to-exp pow-exp
17×add-sqr-sqrt
16×div-exp cbrt-unprod
12×add-cube-cbrt *-un-lft-identity
11×associate-*r* associate-*l*
7×unpow-prod-down
6×pow1
4×cbrt-undiv add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr sqr-pow
1×frac-2neg pow-prod-down clear-num associate-/r* div-inv
Counts
4 → 115
Calls
4 calls:
25.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
12.0ms
(* (* x (pow sin 2.0)) x)
5.0ms
(* x (pow sin 2.0))
25.0ms
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

series837.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
147.0ms
(* (* x (pow sin 2.0)) x)
135.0ms
(* x (pow sin 2.0))
258.0ms
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0435927
12042771
25002771

prune279.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 13.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cos (* 2.0 x))
0.9b
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
4.2b
(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
17.7b
(* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
390×add-exp-log
322×prod-exp
77×pow-to-exp pow-exp
47×add-cbrt-cube
43×div-exp
26×cbrt-unprod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-*l*
6×pow1
5×cbrt-undiv
4×associate-*r* add-log-exp
3×unpow-prod-down times-frac associate-/l*
2×*-commutative
1×frac-2neg pow-prod-down clear-num associate-/r* div-inv sqr-pow
Counts
4 → 163
Calls
4 calls:
2.0ms
(cos (* 2.0 x))
90.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
31.0ms
(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
93.0ms
(* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

series730.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cos (* 2.0 x))
297.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
154.0ms
(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
266.0ms
(* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

simplify85.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05481952
125151327
250021315

prune245.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
0.9b
(/ (cos (* 2.0 x)) (* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))))))
4.6b
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
4.6b
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
44×prod-exp
21×add-cbrt-cube
17×associate-*l*
16×add-sqr-sqrt
14×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp
11×pow1
8×cbrt-unprod
6×unpow-prod-down
5×associate-*r*
4×add-log-exp
3×times-frac swap-sqr *-commutative associate-/l*
2×cbrt-undiv div-exp sqr-pow
1×pow2 frac-2neg pow-plus pow-prod-down clear-num associate-/r* pow-sqr pow-prod-up div-inv unswap-sqr
Counts
4 → 106
Calls
4 calls:
3.0ms
(* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
5.0ms
(/ (cos (* 2.0 x)) (* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))))))
10.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
10.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

series569.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
105.0ms
(/ (cos (* 2.0 x)) (* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))))))
212.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
220.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

simplify47.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03161464
112291194
250021122

prune346.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cos (* 2.0 x))
0.8b
(/ (cos (* 2.0 x)) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
4.6b
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
4.6b
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
42×prod-exp
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
14×pow-to-exp associate-*l* pow-exp
9×times-frac
6×unpow-prod-down cbrt-unprod
4×pow1 add-log-exp
3×associate-/r* associate-/l*
2×associate-*r* *-commutative sqr-pow
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 94
Calls
4 calls:
2.0ms
(cos (* 2.0 x))
3.0ms
(/ (cos (* 2.0 x)) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
10.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
14.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cos (* 2.0 x))
71.0ms
(/ (cos (* 2.0 x)) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
213.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
213.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
02791031
1975918
25001918

prune289.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

regimes313.0ms

Accuracy

0% (2.5b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02523
12523

end0.0ms

sample59.3s

Algorithm
intervals
Results
55.3s35558×body10240exit
1.1s9031×body80valid
442.0ms810×body1280valid
397.0ms983×body640valid
182.0ms589×body320valid
78.0ms329×body160valid