Details

Time bar (total: 22.0s)

sample54.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
15.0ms247×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

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(/ a (- (acos a)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
61 → 61
Iterations
IterNodes
42132
3769
2345
1167
097

prune484.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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))

series114.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- (acos a)) a)
61.0ms
(/ 1 (/ (- (acos a)) a))

simplify7.8s

Counts
229 → 229
Iterations
IterNodes
33796
21543
1763
0294

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
262×cbrt-prod
228×times-frac
176×add-sqr-sqrt
164×*-un-lft-identity
152×add-cube-cbrt
69×distribute-rgt-neg-in
63×distribute-lft-neg-in
43×swap-sqr
37×associate-*r* associate-*l*
21×neg-mul-1
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 288
Calls
4 calls:
16.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))

series1.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))
240.0ms
(cbrt (/ (- (acos a)) a))
237.0ms
(cbrt (/ (- (acos a)) a))
271.0ms
(cbrt (/ (- (acos a)) a))

simplify1.7s

Counts
300 → 300
Iterations
IterNodes
32214
21072
1521
0302

prune3.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.9b
(sqrt (acos a))
0.9b
(sqrt (acos a))
1.0b
(/ 1 (- (sqrt (acos a))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
46×add-sqr-sqrt
44×*-un-lft-identity add-cube-cbrt
30×sqrt-prod
24×distribute-lft-neg-in distribute-rgt-neg-in
16×associate-/r*
8×add-exp-log
7×pow1
6×add-cbrt-cube
4×expm1-log1p-u neg-mul-1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg pow1/3 1-exp div-inv pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt a)
2.0ms
(sqrt (acos a))
7.0ms
(sqrt (acos a))
10.0ms
(/ 1 (- (sqrt (acos a))))

series350.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt a)
17.0ms
(sqrt (acos a))
17.0ms
(sqrt (acos a))
53.0ms
(/ 1 (- (sqrt (acos a))))

simplify1.4s

Counts
144 → 144
Iterations
IterNodes
52389
41188
3749
2434
1243
0149

prune1.3s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
14
04

end0.0ms

sample1.6s

Algorithm
intervals
Results
798.0ms7973×body80nan
508.0ms8000×body80valid