Details

Time bar (total: 8.9s)

sample36.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms284×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 56
Calls
1 calls:
10.0ms
(/ a (- (acos a)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done2010
42010
31333
2452
1172
095

prune225.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 219
Calls
2 calls:
5.0ms
(/ (- (acos a)) a)
11.0ms
(/ 1 (/ (- (acos a)) a))

series97.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- (acos a)) a)
35.0ms
(/ 1 (/ (- (acos a)) a))

simplify1.3s

Counts
225 → 225
Iterations
IterNodes
done2019
32019
21568
1770
0290

prune639.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (- (acos a)) (/ 1 a)))
0.4b
(* (- (acos a)) (/ 1 a))

rewrite31.0ms

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×pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 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 → 86
Calls
2 calls:
16.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
14.0ms
(* (- (acos a)) (/ 1 a))

series87.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
47.0ms
(* (- (acos a)) (/ 1 a))

simplify1.1s

Counts
92 → 92
Iterations
IterNodes
done2000
32000
2947
1347
0127

prune291.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (- (sqrt (acos a))) a)
0.9b
(sqrt (acos a))
0.9b
(sqrt (acos a))
0.9b
(/ 1 (sqrt (acos a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
60×add-sqr-sqrt
58×*-un-lft-identity add-cube-cbrt
42×sqrt-prod
24×distribute-lft-neg-in distribute-rgt-neg-in
19×associate-/l*
10×add-exp-log
9×associate-/r*
8×pow1 add-cbrt-cube
4×neg-mul-1 insert-posit16 add-log-exp
3×sqrt-pow1 pow1/2 div-exp pow-flip
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
1×neg-sub0 rec-exp 1-exp div-sub distribute-frac-neg inv-pow
Counts
4 → 156
Calls
4 calls:
13.0ms
(/ (- (sqrt (acos a))) a)
2.0ms
(sqrt (acos a))
2.0ms
(sqrt (acos a))
10.0ms
(/ 1 (sqrt (acos a)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (- (sqrt (acos a))) a)
13.0ms
(sqrt (acos a))
25.0ms
(sqrt (acos a))
29.0ms
(/ 1 (sqrt (acos a)))

simplify1.2s

Counts
168 → 168
Iterations
IterNodes
done2003
42003
31533
2706
1338
0183

prune622.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes98.0ms

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

sample1.7s

Algorithm
intervals
Results
683.0ms8000×body80valid
412.0ms8057×body80nan