Details

Time bar (total: 13.6s)

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

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 div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
8.0ms
(/ a (- (acos a)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ a (- (acos a)))

simplify1.8s

Counts
58 → 58
Iterations
IterNodes
done5000
31308
2448
1171
094

prune327.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 217
Calls
2 calls:
13.0ms
(/ (- (acos a)) a)
26.0ms
(/ 1 (/ (- (acos a)) a))

series115.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- (acos a)) a)
54.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.6s

Counts
223 → 223
Iterations
IterNodes
done5027
33823
21548
1768
0288

prune734.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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×clear-num frac-2neg add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 580
Calls
2 calls:
17.0ms
(/ 1 (- (acos a)))
27.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series56.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ 1 (- (acos a)))
42.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify3.1s

Counts
586 → 586
Iterations
IterNodes
done5002
24850
12680
0807

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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 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 → 84
Calls
2 calls:
30.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
24.0ms
(* (- (acos a)) (/ 1 a))

series96.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
50.0ms
(* (- (acos a)) (/ 1 a))

simplify2.1s

Counts
90 → 90
Iterations
IterNodes
done5066
32544
2889
1346
0125

prune279.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes181.0ms

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

sample858.0ms

Algorithm
intervals
Results
306.0ms8160×body80nan
269.0ms8000×body80valid