Details

Time bar (total: 2.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms232×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
done45

prune2.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
4.0ms
(/ a (- (acos a)))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ a (- (acos a)))

simplify2.2s

Counts
58 → 58
Iterations

Useful iterations: 5 (888.0ms)

IterNodesCost
094601
1167571
2372553
3837553
41705553
52870548
done5000548

prune113.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
44×associate-/r*
16×neg-mul-1
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×acos-asin pow-flip div-sub associate-/r/ inv-pow
Counts
2 → 216
Calls
2 calls:
4.0ms
(/ (acos a) (- a))
10.0ms
(/ 1 (/ (acos a) (- a)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (acos a) (- a))
29.0ms
(/ 1 (/ (acos a) (- a)))

simplify172.0ms

Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
02933186
16352769