Details

Time bar (total: 11.4s)

sample51.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
16.0ms257×body80nan

simplify6.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
Slowest
10.0ms
(/ a (- (acos a)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(/ a (- (acos a)))

simplify1.3s

Counts
59 → 59

prune430.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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:
Slowest
10.0ms
(/ 1 (/ (- (acos a)) a))
6.0ms
(/ (- (acos a)) a)

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ (- (acos a)) a)
31.0ms
(/ 1 (/ (- (acos a)) a))

simplify900.0ms

Counts
225 → 225

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×acos-asin div-sub associate-/r/
Counts
2 → 100
Calls
2 calls:
Slowest
8.0ms
(/ (acos a) a)
6.0ms
(/ -1 (/ (acos a) a))

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(/ -1 (/ (acos a) a))
31.0ms
(/ (acos a) a)

simplify1.4s

Counts
106 → 106

prune755.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
26×add-exp-log
17×div-exp
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv
2×pow1 rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 248
Calls
2 calls:
Slowest
13.0ms
(/ (/ -1 (acos a)) (/ 1 a))
7.0ms
(/ -1 (acos a))

series60.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(/ (/ -1 (acos a)) (/ 1 a))
11.0ms
(/ -1 (acos a))

simplify1.2s

Counts
254 → 254

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
756.0ms7913×body80nan
579.0ms8000×body80valid