Details

Time bar (total: 18.3s)

sample47.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
15.0ms284×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune4.0ms

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)))

rewrite7.0ms

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

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ a (- (acos a)))

simplify2.1s

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

prune439.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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)
14.0ms
(/ 1 (/ (- (acos a)) a))

series97.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- (acos a)) a)
54.0ms
(/ 1 (/ (- (acos a)) a))

simplify3.1s

Counts
229 → 229
Iterations
IterNodes
34061
21739
1764
0294

prune1.7s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
27.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
12.0ms
(* (- (acos a)) (/ 1 a))

series116.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
69.0ms
(* (- (acos a)) (/ 1 a))

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
32485
2944
1354
0131

prune715.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.4b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×neg-mul-1 add-exp-log
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 586
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
13.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series42.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
36.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.6s

Counts
592 → 592
Iterations
IterNodes
12664
0813

prune4.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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

sample1.4s

Algorithm
intervals
Results
572.0ms8000×body80valid
527.0ms8070×body80nan