Details

Time bar (total: 24.2s)

sample75.0ms

Algorithm
intervals
Results
28.0ms297×body80valid
9.0ms21×body1280valid
9.0ms22×body640valid
3.0ms14×body320valid
2.0ms10×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
12616
26716
324116
4109716
done500016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
3.4b
(* (* x (pow sin 2.0)) x)
5.7b
(* x (pow sin 2.0))
19.6b
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

rewrite197.0ms

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 expm1-log1p-u log1p-expm1-u 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 → 123
Calls
4 calls:
63.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
22.0ms
(* (* x (pow sin 2.0)) x)
14.0ms
(* x (pow sin 2.0))
93.0ms
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
411.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
229.0ms
(* (* x (pow sin 2.0)) x)
194.0ms
(* x (pow sin 2.0))
373.0ms
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

simplify1.3s

Counts
135 → 135
Iterations

Useful iterations: 2 (360.0ms)

IterNodesCost
01792045
14211897
214451617
done50001617

prune497.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.6b

localize39.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* x (pow sin 2.0)) x)
5.7b
(* x (pow sin 2.0))
6.5b
(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
8.1b
(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
226×add-exp-log
202×prod-exp
50×pow-to-exp pow-exp
34×add-cbrt-cube
20×cbrt-unprod
18×associate-*l*
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity associate-*r*
10×unpow-prod-down
6×pow1
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp sqr-pow
3×unswap-sqr
1×pow-prod-down
Counts
4 → 154
Calls
4 calls:
23.0ms
(* (* x (pow sin 2.0)) x)
14.0ms
(* x (pow sin 2.0))
256.0ms
(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
113.0ms
(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (* x (pow sin 2.0)) x)
192.0ms
(* x (pow sin 2.0))
416.0ms
(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
434.0ms
(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))

simplify1.6s

Counts
166 → 166
Iterations

Useful iterations: 2 (419.0ms)

IterNodesCost
01712944
14182102
214071850
done50001850

prune476.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.2b

localize21.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x)
5.7b
(* x (pow sin 2.0))
6.5b
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x))
9.0b
(* (pow cos (/ 2.0 2)) (* x (pow sin 2.0)))

rewrite410.0ms

Algorithm
rewrite-expression-head
Rules
226×add-exp-log
202×prod-exp
50×pow-to-exp pow-exp
34×add-cbrt-cube
20×cbrt-unprod
18×associate-*l*
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity associate-*r*
10×unpow-prod-down
6×pow1
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp sqr-pow
3×unswap-sqr
1×pow-prod-down
Counts
4 → 154
Calls
4 calls:
99.0ms
(* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x)
16.0ms
(* x (pow sin 2.0))
231.0ms
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x))
50.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin 2.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
368.0ms
(* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x)
214.0ms
(* x (pow sin 2.0))
445.0ms
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* x (pow sin 2.0))) x))
377.0ms
(* (pow cos (/ 2.0 2)) (* x (pow sin 2.0)))

simplify1.7s

Counts
166 → 166
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01722990
14332172
215061924
done50001920

prune500.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.9b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x)))
3.3b
(* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x)
6.5b
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x))
9.0b
(* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
1442×add-exp-log
1342×prod-exp
354×pow-to-exp pow-exp
124×div-exp
74×add-cbrt-cube
46×cbrt-unprod
15×associate-*l*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv unpow-prod-down
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×sqr-pow
1×frac-2neg pow-prod-down clear-num associate-/r* div-inv
Counts
4 → 414
Calls
4 calls:
868.0ms
(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x)))
286.0ms
(* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x)
827.0ms
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x))
119.0ms
(* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))))

series2.1s

Counts
4 → 12
Calls
4 calls:
433.0ms
(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x)))
476.0ms
(* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x)
810.0ms
(* (pow cos (/ 2.0 2)) (* (* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))) x))
404.0ms
(* (pow cos (/ 2.0 2)) (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))))

simplify1.8s

Counts
426 → 426
Iterations

Useful iterations: done (1.8s)

IterNodesCost
027014303
17396743
224746085
done50006081

prune498.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.5b

regimes558.0ms

Accuracy

0% (2.2b remaining)

Error of 8.3b against oracle of 6.2b and baseline of 8.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
12232
done2232

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.4s9077×body80valid
643.0ms808×body1280valid
582.0ms985×body640valid
530.0ms303×body160valid
195.0ms547×body320valid