Details

Time bar (total: 2.6s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms284×body80nan

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ a (- (acos a)))

simplify87.0ms

Counts
58 → 58

prune109.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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
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 frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
11.0ms
(/ (- (acos a)) a)
15.0ms
(/ 1 (/ (- (acos a)) a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- (acos a)) a)
24.0ms
(/ 1 (/ (- (acos a)) a))

simplify72.0ms

Counts
223 → 223

prune259.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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 frac-2neg clear-num add-log-exp
1×acos-asin rec-exp pow-flip 1-exp div-sub associate-/r/ distribute-neg-frac inv-pow
Counts
2 → 168
Calls
2 calls:
6.0ms
(/ (acos a) a)
15.0ms
(/ 1 (- (/ (acos a) a)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (acos a) a)
24.0ms
(/ 1 (- (/ (acos a) a)))

simplify49.0ms

Counts
174 → 174

prune200.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (acos a))
0.5b
(/ (/ 1 (acos a)) (- (/ 1 a)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
930×times-frac
437×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
182×distribute-lft-neg-in distribute-rgt-neg-in
61×div-inv
33×associate-/r*
16×associate-/l*
15×add-exp-log
14×neg-mul-1
9×add-cbrt-cube
8×div-exp
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ distribute-neg-frac inv-pow
Counts
2 → 482
Calls
2 calls:
5.0ms
(/ 1 (acos a))
27.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

series31.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (acos a))
25.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))

simplify88.0ms

Counts
488 → 488

prune560.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample711.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid
167.0ms8241×body80nan