Details

Time bar (total: 1.9m)

sample52.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
16.0ms264×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
7.0ms
(/ a (- (acos a)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ a (- (acos a)))

simplify1.9s

Counts
61 → 61
Iterations
IterNodes
53275
41664
3726
2346
1169
097

prune475.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 223
Calls
2 calls:
11.0ms
(/ (- (acos a)) a)
19.0ms
(/ 1 (/ (- (acos a)) a))

series114.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- (acos a)) a)
53.0ms
(/ 1 (/ (- (acos a)) a))

simplify3.0s

Counts
229 → 229
Iterations
IterNodes
34061
21739
1764
0294

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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×expm1-log1p-u pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 log1p-expm1-u 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 → 90
Calls
2 calls:
31.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
19.0ms
(* (- (acos a)) (/ 1 a))

series95.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
56.0ms
(* (- (acos a)) (/ 1 a))

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
32485
2944
1354
0131

prune699.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)))
0.6b
(cbrt (/ (- (acos a)) a))
0.6b
(cbrt (/ (- (acos a)) a))
0.6b
(cbrt (/ (- (acos a)) a))

rewrite360.0ms

Algorithm
rewrite-expression-head
Rules
15530×times-frac
7956×cbrt-prod
6359×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2106×distribute-lft-neg-in distribute-rgt-neg-in
702×neg-mul-1
273×div-inv
116×associate-/l*
42×cbrt-div
39×associate-/r/
37×associate-/r*
13×add-exp-log
7×pow1
6×add-cbrt-cube div-exp
5×pow1/3
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp clear-num frac-2neg 1-exp inv-pow associate-/l/
Counts
4 → 4607
Calls
4 calls:
38.0ms
(/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)))
3.0ms
(cbrt (/ (- (acos a)) a))
3.0ms
(cbrt (/ (- (acos a)) a))
3.0ms
(cbrt (/ (- (acos a)) a))

series1.1s

Counts
4 → 12
Calls
4 calls:
340.0ms
(/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)))
209.0ms
(cbrt (/ (- (acos a)) a))
292.0ms
(cbrt (/ (- (acos a)) a))
238.0ms
(cbrt (/ (- (acos a)) a))

simplify53.6s

Counts
4619 → 4619
Iterations
IterNodes
114462
06413

prune47.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
14
04

end0.0ms

sample902.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid
305.0ms8108×body80nan