Details

Time bar (total: 8.1s)

sample83.0ms

Algorithm
intervals
Results
24.0ms41×body1280valid
24.0ms19×body2560valid
11.0ms33×body640valid
10.0ms142×body80valid
4.0ms17×body320valid
1.0ms4×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0813
11113
21313
done1313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize15.0ms

Local error

Found 3 expressions with local error:

7.1b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.8b
(sin (/ x (* y 2.0)))
26.3b
(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series86.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify1.2s

Counts
52 → 52
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
077822
1139813
2339737
31188733
done5001733

prune169.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.4b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune31.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 23.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.125 (/ (pow x 2) (pow y 2)))
14.3b
(/ (pow x 2) (pow y 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
110×unpow-prod-down
106×add-sqr-sqrt
72×add-cube-cbrt *-un-lft-identity
68×associate-*r*
42×unpow2 sqr-pow
37×add-exp-log
18×div-exp
17×unswap-sqr
12×pow-to-exp pow-exp
10×prod-exp
9×add-cbrt-cube
8×associate-/r* associate-/l*
4×pow1
3×associate-*l*
2×cbrt-undiv cbrt-unprod div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 210
Calls
2 calls:
31.0ms
(* 0.125 (/ (pow x 2) (pow y 2)))
7.0ms
(/ (pow x 2) (pow y 2))

series63.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* 0.125 (/ (pow x 2) (pow y 2)))
27.0ms
(/ (pow x 2) (pow y 2))

simplify719.0ms

Counts
216 → 216
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
02692965
15772578
219901984
done50011984

prune411.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 23.4b

localize18.0ms

Local error

Found 4 expressions with local error:

25.8b
(sin (/ x (* y 2.0)))
26.3b
(tan (/ x (* y 2.0)))
26.3b
(tan (/ x (* y 2.0)))
26.3b
(tan (/ x (* y 2.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×tan-quot
Counts
4 → 31
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sin (/ x (* y 2.0)))
36.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify1.8s

Counts
43 → 43
Iterations

Useful iterations: 4 (280.0ms)

IterNodesCost
033420
157420
2123372
3414372
41636360
done5000360

prune169.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 23.3b

regimes280.0ms

Accuracy

0% (2.5b remaining)

Error of 28.7b against oracle of 26.3b and baseline of 28.7b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample2.9s

Algorithm
intervals
Results
836.0ms1361×body1280valid
825.0ms648×body2560valid
513.0ms4071×body80valid
385.0ms1039×body640valid
145.0ms582×body320valid
56.0ms299×body160valid