Details

Time bar (total: 11.3s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
8.0ms245×body80nan

simplify5.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 56
Calls
1 calls:
Slowest
10.0ms
(/ a (- (acos a)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(/ a (- (acos a)))

simplify1.2s

Counts
59 → 59

prune468.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 219
Calls
2 calls:
Slowest
13.0ms
(/ 1 (/ (- (acos a)) a))
10.0ms
(/ (- (acos a)) a)

series94.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(/ (- (acos a)) a)
37.0ms
(/ 1 (/ (- (acos a)) a))

simplify818.0ms

Counts
225 → 225

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×add-cbrt-cube prod-exp
15×*-un-lft-identity
14×times-frac add-cube-cbrt
13×associate-*r*
10×associate-*l*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 div-inv pow-flip add-log-exp
1×distribute-lft-neg-out clear-num associate-/r* neg-mul-1 frac-2neg *-commutative inv-pow
Counts
2 → 86
Calls
2 calls:
Slowest
28.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
19.0ms
(* (- (acos a)) (/ 1 a))

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
41.0ms
(* (- (acos a)) (/ 1 a))

simplify1.2s

Counts
92 → 92

prune675.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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×pow1 rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 248
Calls
2 calls:
Slowest
9.0ms
(/ (/ -1 (acos a)) (/ 1 a))
4.0ms
(/ -1 (acos a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ (/ -1 (acos a)) (/ 1 a))
11.0ms
(/ -1 (acos a))

simplify1.2s

Counts
254 → 254

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
846.0ms8192×body80nan
617.0ms8000×body80valid