Details

Time bar (total: 12.9s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms259×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:
14.0ms
(/ a (- (acos a)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
59 → 59
Iterations
IterNodes
done5001
31333
2452
1172
095

prune195.0ms

Pruning

11 alts after pruning (10 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))

rewrite41.0ms

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:
9.0ms
(/ (- (acos a)) a)
24.0ms
(/ 1 (/ (- (acos a)) a))

series79.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- (acos a)) a)
36.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.3s

Counts
225 → 225
Iterations
IterNodes
done5001
33593
21568
1770
0290

prune599.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
36.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
22.0ms
(* (- (acos a)) (/ 1 a))

series86.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
54.0ms
(* (- (acos a)) (/ 1 a))

simplify3.1s

Counts
92 → 92
Iterations
IterNodes
done5000
32603
2947
1347
0127

prune201.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.5b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×neg-mul-1 add-exp-log
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 582
Calls
2 calls:
14.0ms
(/ 1 (- (acos a)))
65.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series48.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
42.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.6s

Counts
588 → 588
Iterations
IterNodes
done5001
24781
12682
0809

prune878.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample901.0ms

Algorithm
intervals
Results
405.0ms8000×body80valid
286.0ms7784×body80nan