Details

Time bar (total: 15.0s)

sample58.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
20.0ms231×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:
15.0ms
(/ a (- (acos a)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ a (- (acos a)))

simplify1.5s

Counts
59 → 59
Iterations
IterNodes
done5001
31333
2452
1172
095

prune197.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
146×*-un-lft-identity
144×add-sqr-sqrt add-cube-cbrt
52×distribute-rgt-neg-in
51×distribute-lft-neg-in
40×associate-/r*
25×associate-/l*
17×neg-mul-1
16×associate-/r/
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv clear-num
3×pow1 frac-2neg remove-double-div
2×rec-exp 1-exp insert-posit16 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg pow-flip inv-pow
Counts
2 → 237
Calls
2 calls:
8.0ms
(/ (- (acos a)) a)
26.0ms
(/ 1 (/ (- (acos a)) a))

series127.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- (acos a)) a)
58.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.6s

Counts
243 → 243
Iterations
IterNodes
done5002
33959
21699
1787
0301

prune680.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
127×add-sqr-sqrt
99×*-un-lft-identity
92×add-cube-cbrt
65×associate-*r*
50×associate-*l*
46×add-exp-log
37×associate-/r*
18×div-exp associate-*r/
16×add-cbrt-cube prod-exp
15×distribute-lft-neg-in distribute-rgt-neg-in unswap-sqr
12×associate-/r/
11×associate-/l*
9×rec-exp 1-exp
7×pow1
6×un-div-inv div-inv
5×cbrt-undiv clear-num neg-mul-1 *-commutative
4×cbrt-unprod
3×frac-2neg
2×pow-prod-down insert-posit16 pow-flip add-log-exp
1×distribute-lft-neg-out inv-pow
Counts
2 → 226
Calls
2 calls:
52.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
27.0ms
(* (- (acos a)) (/ 1 a))

series88.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
46.0ms
(* (- (acos a)) (/ 1 a))

simplify3.4s

Counts
232 → 232
Iterations
IterNodes
done5000
34778
21627
1758
0278

prune473.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.4b
(* a (/ 1 (- (acos a))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
57×add-sqr-sqrt
52×*-un-lft-identity
50×add-cube-cbrt
34×associate-*r*
24×distribute-lft-neg-in distribute-rgt-neg-in
20×associate-/r*
16×associate-*r/
15×add-exp-log
9×add-cbrt-cube
8×neg-mul-1
7×associate-/l*
5×pow1
4×div-exp prod-exp
3×clear-num associate-*l* un-div-inv unswap-sqr
2×cbrt-undiv rec-exp frac-2neg 1-exp cbrt-unprod insert-posit16 div-inv add-log-exp
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
2 → 135
Calls
2 calls:
14.0ms
(/ 1 (- (acos a)))
57.0ms
(* a (/ 1 (- (acos a))))

series44.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
38.0ms
(* a (/ 1 (- (acos a))))

simplify3.6s

Counts
141 → 141
Iterations
IterNodes
done5001
42819
31626
2855
1345
0147

prune367.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
635.0ms8000×body80valid
349.0ms7614×body80nan