Details

Time bar (total: 10.7s)

sample36.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms279×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 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×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 56
Calls
1 calls:
5.0ms
(/ a (- (acos a)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ a (- (acos a)))

simplify1.0s

Counts
59 → 59
Iterations
IterNodes
done2010
42010
31333
2452
1172
095

prune369.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 219
Calls
2 calls:
14.0ms
(/ 1 (/ (- (acos a)) a))
10.0ms
(/ (- (acos a)) a)

series86.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (/ (- (acos a)) a))
42.0ms
(/ (- (acos a)) a)

simplify1.3s

Counts
225 → 225
Iterations
IterNodes
done2008
32008
21582
1767
0290

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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×pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 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 → 86
Calls
2 calls:
18.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
19.0ms
(* (- (acos a)) (/ 1 a))

series61.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
35.0ms
(* (- (acos a)) (/ 1 a))

simplify1.4s

Counts
92 → 92
Iterations
IterNodes
done2000
32000
2947
1347
0127

prune603.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
11×pow1 associate-*r/
10×add-sqr-sqrt
9×pow1/3 un-div-inv
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
27.0ms
(* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a))))
10.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
14.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
6.0ms
(cbrt (* (- (acos a)) (/ 1 a)))

series875.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a))))
190.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
240.0ms
(cbrt (* (- (acos a)) (/ 1 a)))
169.0ms
(cbrt (* (- (acos a)) (/ 1 a)))

simplify1.0s

Counts
88 → 88
Iterations
IterNodes
done2007
42007
31387
2524
1208
090

prune644.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample1.4s

Algorithm
intervals
Results
670.0ms8000×body80valid
448.0ms8199×body80nan