Details

Time bar (total: 12.9s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms270×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
6.0ms
(/ a (- (acos a)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ a (- (acos a)))

simplify1.6s

Counts
60 → 60
Iterations
IterNodes
done5000
32093
2466
1173
096

prune258.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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:
17.0ms
(/ (- (acos a)) a)
18.0ms
(/ 1 (/ (- (acos a)) a))

series75.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- (acos a)) a)
29.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.0s

Counts
227 → 227
Iterations
IterNodes
done5001
23977
1790
0292

prune954.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
1177×times-frac
526×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
126×distribute-lft-neg-in distribute-rgt-neg-in
50×div-inv
42×neg-mul-1
41×add-exp-log
34×associate-/l*
32×div-exp
13×associate-/r* add-cbrt-cube
8×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 523
Calls
1 calls:
40.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.6s

Counts
526 → 526
Iterations
IterNodes
done5000
12885
0803

prune945.0ms

Pruning

14 alts after pruning (12 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))

rewrite70.0ms

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 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 → 88
Calls
2 calls:
29.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
37.0ms
(* (- (acos a)) (/ 1 a))

series84.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
43.0ms
(* (- (acos a)) (/ 1 a))

simplify2.6s

Counts
94 → 94
Iterations
IterNodes
done5000
22421
1383
0129

prune312.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes260.0ms

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
done4
04

end0.0ms

sample887.0ms

Algorithm
intervals
Results
359.0ms8000×body80valid
251.0ms7944×body80nan