Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms245×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)))

rewrite11.0ms

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:
8.0ms
(/ a (- (acos a)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ a (- (acos a)))

simplify91.0ms

Counts
58 → 58

prune129.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
8.0ms
(/ (- (acos a)) a)
15.0ms
(/ 1 (/ (- (acos a)) a))

series71.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- (acos a)) a)
28.0ms
(/ 1 (/ (- (acos a)) a))

simplify72.0ms

Counts
223 → 223

prune311.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×add-exp-log neg-mul-1
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 580
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
37.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ 1 (- (acos a)))
28.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify114.0ms

Counts
586 → 586

prune723.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
2317×times-frac
1046×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
453×sqrt-prod
273×distribute-lft-neg-in distribute-rgt-neg-in
91×neg-mul-1
81×div-inv
70×associate-/l*
26×add-exp-log
23×associate-/r*
17×div-exp
16×add-cbrt-cube
9×cbrt-undiv
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 1021
Calls
2 calls:
9.0ms
(/ (sqrt 1) (- (acos a)))
49.0ms
(/ (/ (sqrt 1) (- (acos a))) (/ 1 a))

series47.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (sqrt 1) (- (acos a)))
29.0ms
(/ (/ (sqrt 1) (- (acos a))) (/ 1 a))

simplify190.0ms

Counts
1027 → 1027

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

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

sample726.0ms

Algorithm
intervals
Results
211.0ms8000×body80valid
195.0ms8060×body80nan