Details

Time bar (total: 14.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms208×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
7.0ms
(/ a (- (acos a)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ a (- (acos a)))

simplify1.9s

Counts
59 → 59
Iterations
IterNodes
done5001
31333
2452
1172
095

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- (acos a)) a)
0.2b
(/ 1 (/ (- (acos a)) a))

rewrite33.0ms

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:
8.0ms
(/ (- (acos a)) a)
17.0ms
(/ 1 (/ (- (acos a)) a))

series113.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (- (acos a)) a)
51.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.2s

Counts
225 → 225
Iterations
IterNodes
done5001
33593
21568
1770
0290

prune593.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
1177×times-frac
526×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
126×distribute-lft-neg-in distribute-rgt-neg-in
50×div-inv
42×neg-mul-1
41×add-exp-log
34×associate-/l*
32×div-exp
13×associate-/r* add-cbrt-cube
8×cbrt-undiv rec-exp 1-exp
1×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp associate-/l/
Counts
1 → 522
Calls
1 calls:
43.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.6s

Counts
525 → 525
Iterations
IterNodes
done5001
24533
12618
0802

prune587.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ 1 (acos a)) (cbrt (/ 1 a)))
0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
514×times-frac
256×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
221×cbrt-prod
35×div-inv
16×associate-/r*
13×add-exp-log associate-/l*
7×add-cbrt-cube
6×div-exp
4×pow1 cbrt-div insert-posit16 add-log-exp
3×cbrt-undiv pow1/3
1×rec-exp clear-num frac-2neg 1-exp associate-/r/ associate-/l/
Counts
4 → 325
Calls
4 calls:
36.0ms
(/ (/ 1 (acos a)) (cbrt (/ 1 a)))
4.0ms
(cbrt (/ 1 a))
5.0ms
(cbrt (/ 1 a))
5.0ms
(cbrt (/ 1 a))

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(/ (/ 1 (acos a)) (cbrt (/ 1 a)))
250.0ms
(cbrt (/ 1 a))
274.0ms
(cbrt (/ 1 a))
295.0ms
(cbrt (/ 1 a))

simplify2.3s

Counts
337 → 337
Iterations
IterNodes
done5019
34079
21578
1923
0441

prune978.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes171.0ms

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

sample827.0ms

Algorithm
intervals
Results
420.0ms8000×body80valid
212.0ms8071×body80nan