Details

Time bar (total: 8.4s)

sample59.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
18.0ms284×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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×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:
11.0ms
(/ a (- (acos a)))

series74.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ a (- (acos a)))

simplify993.0ms

Counts
61 → 61
Iterations
IterNodes
done2013
42013
31207
2438
1174
097

prune202.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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

series103.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- (acos a)) a)
42.0ms
(/ 1 (/ (- (acos a)) a))

simplify1.3s

Counts
229 → 229
Iterations
IterNodes
done2000
32000
21523
1778
0294

prune704.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (- (acos a)) (/ 1 a)))
0.4b
(* (- (acos a)) (/ 1 a))

rewrite43.0ms

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:
25.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
16.0ms
(* (- (acos a)) (/ 1 a))

series81.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
50.0ms
(* (- (acos a)) (/ 1 a))

simplify852.0ms

Counts
96 → 96
Iterations
IterNodes
done2009
32009
2926
1359
0131

prune283.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (- (sqrt (acos a))) a)
0.9b
(sqrt (acos a))
0.9b
(sqrt (acos a))
0.9b
(/ 1 (sqrt (acos a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
60×add-sqr-sqrt
58×*-un-lft-identity add-cube-cbrt
42×sqrt-prod
24×distribute-lft-neg-in distribute-rgt-neg-in
19×associate-/l*
10×add-exp-log
9×associate-/r*
8×pow1 add-cbrt-cube
4×expm1-log1p-u neg-mul-1 insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 div-exp pow-flip
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
1×neg-sub0 rec-exp 1-exp div-sub distribute-frac-neg inv-pow
Counts
4 → 164
Calls
4 calls:
14.0ms
(/ (- (sqrt (acos a))) a)
2.0ms
(sqrt (acos a))
2.0ms
(sqrt (acos a))
11.0ms
(/ 1 (sqrt (acos a)))

series136.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ (- (sqrt (acos a))) a)
20.0ms
(sqrt (acos a))
28.0ms
(sqrt (acos a))
32.0ms
(/ 1 (sqrt (acos a)))

simplify1.3s

Counts
176 → 176
Iterations
IterNodes
done2063
42063
31587
2681
1344
0189

prune628.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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
done4
04

end0.0ms

sample1.4s

Algorithm
intervals
Results
613.0ms8000×body80valid
476.0ms8057×body80nan