Details

Time bar (total: 1.4m)

sample30.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms250×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
10.0ms
(/ a (- (acos a)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ a (- (acos a)))

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
42132
3769
2345
1167
097

prune436.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 223
Calls
2 calls:
5.0ms
(/ (- (acos a)) a)
7.0ms
(/ 1 (/ (- (acos a)) a))

series83.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- (acos a)) a)
33.0ms
(/ 1 (/ (- (acos a)) a))

simplify7.5s

Counts
229 → 229
Iterations
IterNodes
33796
21543
1763
0294

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (acos a))
0.3b
(/ (/ -1 (acos a)) (/ 1 a))

rewrite26.0ms

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×expm1-log1p-u pow1 rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 252
Calls
2 calls:
6.0ms
(/ -1 (acos a))
12.0ms
(/ (/ -1 (acos a)) (/ 1 a))

series45.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ -1 (acos a))
36.0ms
(/ (/ -1 (acos a)) (/ 1 a))

simplify5.4s

Counts
258 → 258
Iterations
IterNodes
22762
11257
0420

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (/ -1 (acos a)) (acos a)) (acos a))
0.0b
(/ (/ -1 (acos a)) (acos a))
0.3b
(/ (cbrt (/ (/ (/ -1 (acos a)) (acos a)) (acos a))) (/ 1 a))
1.0b
(cbrt (/ (/ (/ -1 (acos a)) (acos a)) (acos a)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
8374×times-frac
3438×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1995×cbrt-prod
355×div-inv
192×associate-/l*
27×add-exp-log
21×add-cbrt-cube
19×associate-/r*
15×div-exp
12×cbrt-undiv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/l/
2×cbrt-div
1×rec-exp pow1/3 1-exp associate-/r/
Counts
4 → 2351
Calls
4 calls:
17.0ms
(/ (/ (/ -1 (acos a)) (acos a)) (acos a))
7.0ms
(/ (/ -1 (acos a)) (acos a))
20.0ms
(/ (cbrt (/ (/ (/ -1 (acos a)) (acos a)) (acos a))) (/ 1 a))
4.0ms
(cbrt (/ (/ (/ -1 (acos a)) (acos a)) (acos a)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (/ (/ -1 (acos a)) (acos a)) (acos a))
21.0ms
(/ (/ -1 (acos a)) (acos a))
80.0ms
(/ (cbrt (/ (/ (/ -1 (acos a)) (acos a)) (acos a))) (/ 1 a))
41.0ms
(cbrt (/ (/ (/ -1 (acos a)) (acos a)) (acos a)))

simplify43.9s

Counts
2363 → 2363
Iterations
IterNodes
18983
03819

prune21.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes58.0ms

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
14
04

end0.0ms

sample908.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid
316.0ms7967×body80nan