Details

Time bar (total: 38.7s)

sample39.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms208×body80nan

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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:
32.0ms
(/ a (- (acos a)))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(/ a (- (acos a)))

simplify3.1s

Counts
61 → 61
Iterations
IterNodes
done5001
31262
2435
1174
097

prune627.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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:
13.0ms
(/ (- (acos a)) a)
34.0ms
(/ 1 (/ (- (acos a)) a))

series180.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (- (acos a)) a)
96.0ms
(/ 1 (/ (- (acos a)) a))

simplify7.2s

Counts
229 → 229
Iterations
IterNodes
done5079
33760
21630
1774
0294

prune1.6s

Pruning

11 alts after pruning (9 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))

rewrite241.0ms

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/ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 524
Calls
1 calls:
65.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series102.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify6.7s

Counts
527 → 527
Iterations
IterNodes
done5000
12652
0804

prune1.9s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
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 → 165
Calls
4 calls:
77.0ms
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
5.0ms
(cbrt (/ 1 a))
5.0ms
(cbrt (/ 1 a))
5.0ms
(cbrt (/ 1 a))

series1.4s

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))
342.0ms
(cbrt (/ 1 a))
358.0ms
(cbrt (/ 1 a))
334.0ms
(cbrt (/ 1 a))

simplify11.9s

Counts
177 → 177
Iterations
IterNodes
done5012
44530
31205
2498
1253
0145

prune1.7s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes484.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample1.0s

Algorithm
intervals
Results
333.0ms8000×body80valid
231.0ms8071×body80nan