Details

Time bar (total: 14.5s)

sample40.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
11.0ms279×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ a (- (acos a)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
6.0ms
(/ a (- (acos a)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ a (- (acos a)))

simplify1.3s

Counts
61 → 61
Iterations
IterNodes
done2013
42013
31207
2438
1174
097

prune513.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (- (acos a)) a))
0.3b
(/ (- (acos a)) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 223
Calls
2 calls:
16.0ms
(/ 1 (/ (- (acos a)) a))
13.0ms
(/ (- (acos a)) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (/ (- (acos a)) a))
49.0ms
(/ (- (acos a)) a)

simplify1.1s

Counts
229 → 229
Iterations
IterNodes
done2000
22000
1773
0294

prune1.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (- (acos a)) (/ 1 a)))
0.3b
(* (- (acos a)) (/ 1 a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×add-cbrt-cube prod-exp
15×*-un-lft-identity
14×times-frac add-cube-cbrt
13×associate-*r*
10×associate-*l*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×expm1-log1p-u pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 log1p-expm1-u div-inv pow-flip add-log-exp
1×distribute-lft-neg-out clear-num associate-/r* neg-mul-1 frac-2neg *-commutative inv-pow
Counts
2 → 90
Calls
2 calls:
18.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
21.0ms
(* (- (acos a)) (/ 1 a))

series86.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
56.0ms
(* (- (acos a)) (/ 1 a))

simplify1.0s

Counts
96 → 96
Iterations
IterNodes
done2009
32009
2926
1359
0131

prune688.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
262×cbrt-prod
228×times-frac
176×add-sqr-sqrt
164×*-un-lft-identity
152×add-cube-cbrt
69×distribute-rgt-neg-in
63×distribute-lft-neg-in
43×swap-sqr
37×associate-*r* associate-*l*
21×neg-mul-1
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 288
Calls
4 calls:
39.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))
4.0ms
(cbrt (/ (- (acos a)) a))
4.0ms
(cbrt (/ (- (acos a)) a))
4.0ms
(cbrt (/ (- (acos a)) a))

series1.1s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))
277.0ms
(cbrt (/ (- (acos a)) a))
238.0ms
(cbrt (/ (- (acos a)) a))
252.0ms
(cbrt (/ (- (acos a)) a))

simplify1.4s

Counts
300 → 300
Iterations
IterNodes
done2000
32000
21094
1524
0302

prune3.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample1.5s

Algorithm
intervals
Results
677.0ms8000×body80valid
484.0ms8199×body80nan