Details

Time bar (total: 15.1s)

sample74.0ms

Algorithm
intervals
Results
27.0ms84×body2560valid
19.0ms88×body1280valid
7.0ms282×body80nan
6.0ms38×body640valid
2.0ms19×body320valid
1.0ms14×body160valid
1.0ms13×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0914
11914
24114
38114
415014
523514
631214
746114
8111214
done500014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
1.1b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
8×pow1
4×associate-/r* difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
30.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.9s

Counts
72 → 72
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01391198
13321166
29731054
335711052
done50001050

prune167.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.2b
(* 5.0 (* v v))
1.2b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp difference-of-squares
4×associate-/r*
3×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
2×asin-acos associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative div-inv distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 79
Calls
4 calls:
9.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
11.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
9.0ms
(* 5.0 (* v v))
1.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
36.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
27.0ms
(* 5.0 (* v v))
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.9s

Counts
91 → 91
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01711732
14061650
211211530
338451524
done50001522

prune237.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.1b

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.2b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.2b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.5b
(+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt asin-acos add-cbrt-cube
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 37
Calls
4 calls:
0.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
11.0ms
(+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
28.0ms
(+ (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify1.5s

Counts
49 → 49
Iterations

Useful iterations: 5 (584.0ms)

IterNodesCost
0501049
1124947
2246911
3469907
4995905
52238903
done5000903

prune208.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.1b

localize27.0ms

Local error

Found 4 expressions with local error:

1.1b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.2b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.2b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.6b
(- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×acos-asin asin-acos
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 39
Calls
4 calls:
0.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
15.0ms
(- PI (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify2.7s

Counts
51 → 51
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0601069
11121025
2204937
3332937
4624937
51433937
64782937
done5000937

prune208.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

regimes103.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
11820
done1820

end0.0ms

sample2.3s

Algorithm
intervals
Results
993.0ms2993×body2560valid
551.0ms2494×body1280valid
221.0ms8255×body80nan
213.0ms1315×body640valid
68.0ms598×body320valid
33.0ms410×body160valid
11.0ms190×body80valid