Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms232×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
done45

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
4.0ms
(/ a (- (acos a)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ a (- (acos a)))

simplify2.2s

Counts
60 → 60
Iterations

Useful iterations: 5 (1.1s)

IterNodesCost
096613
1169581
2384563
3848563
41730563
52882558
done5001558

prune112.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (acos a) a)
0.3b
(/ 1 (- (/ (acos a) a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
8×add-exp-log
6×add-cbrt-cube associate-/l*
4×neg-mul-1
3×pow1 div-exp
2×cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×acos-asin rec-exp pow-flip 1-exp div-sub associate-/r/ distribute-neg-frac inv-pow
Counts
2 → 172
Calls
2 calls:
2.0ms
(/ (acos a) a)
10.0ms
(/ 1 (- (/ (acos a) a)))

series55.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (acos a) a)
23.0ms
(/ 1 (- (/ (acos a) a)))

simplify194.0ms

Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
02652409
14972102