Details

Time bar (total: 26.7s)

sample57.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
15.0ms274×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
9.0ms
(/ a (- (acos a)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ a (- (acos a)))

simplify1.2s

Counts
60 → 60
Iterations
IterNodes
42099
3764
2344
1166
096

prune420.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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 log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 221
Calls
2 calls:
10.0ms
(/ (- (acos a)) a)
14.0ms
(/ 1 (/ (- (acos a)) a))

series123.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- (acos a)) a)
52.0ms
(/ 1 (/ (- (acos a)) a))

simplify8.7s

Counts
227 → 227
Iterations
IterNodes
33856
21538
1761
0292

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(* (cbrt (/ (- (acos a)) a)) (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 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 → 284
Calls
4 calls:
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))
17.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))

series982.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (/ (- (acos a)) a))
207.0ms
(cbrt (/ (- (acos a)) a))
224.0ms
(cbrt (/ (- (acos a)) a))
313.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))

simplify1.9s

Counts
296 → 296
Iterations
IterNodes
32115
21019
1518
0300

prune2.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ 1 a))
1.0b
(cbrt (- (acos a)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
91×cbrt-prod
69×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
7×neg-mul-1
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 134
Calls
4 calls:
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))
1.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt (- (acos a)))

series910.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt (/ (- (acos a)) a))
209.0ms
(cbrt (/ (- (acos a)) a))
253.0ms
(cbrt (/ 1 a))
226.0ms
(cbrt (- (acos a)))

simplify4.6s

Counts
146 → 146
Iterations
IterNodes
44421
31278
2580
1335
0209

prune1.6s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes116.0ms

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

sample1.2s

Algorithm
intervals
Results
536.0ms8000×body80valid
403.0ms8249×body80nan