Details

Time bar (total: 9.4s)

sample52.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
15.0ms246×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(/ a (- (acos a)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
59 → 59
Iterations
IterNodes
done5000
32050
2464
1172
095

prune224.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:
7.0ms
(/ 1 (/ (- (acos a)) a))
5.0ms
(/ (- (acos a)) a)

series84.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (/ (- (acos a)) a))
37.0ms
(/ (- (acos a)) a)

simplify2.0s

Counts
225 → 225
Iterations
IterNodes
done5000
24399
1786
0290

prune799.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×acos-asin div-sub associate-/r/ pow-flip inv-pow
Counts
2 → 106
Calls
2 calls:
10.0ms
(/ 1 (/ (acos a) a))
9.0ms
(/ (acos a) a)

series75.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (/ (acos a) a))
35.0ms
(/ (acos a) a)

simplify992.0ms

Counts
112 → 112
Iterations
IterNodes
done5000
21759
1368
0154

prune285.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
17.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
12.0ms
(* (- (acos a)) (/ 1 a))

series122.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
73.0ms
(* (- (acos a)) (/ 1 a))

simplify1.7s

Counts
92 → 92
Iterations
IterNodes
done5000
22256
1381
0127

prune160.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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
done4
04

end0.0ms

sample1.2s

Algorithm
intervals
Results
566.0ms8000×body80valid
425.0ms8159×body80nan