Details

Time bar (total: 10.6s)

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms277×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)))

rewrite9.0ms

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

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ a (- (acos a)))

simplify1.5s

Counts
58 → 58
Iterations
IterNodes
done5001
32040
2462
1171
094

prune232.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
16.0ms
(/ 1 (/ (- (acos a)) a))
7.0ms
(/ (- (acos a)) a)

series118.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (/ (- (acos a)) a))
63.0ms
(/ (- (acos a)) a)

simplify1.9s

Counts
223 → 223
Iterations
IterNodes
done5000
24452
1785
0288

prune758.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite99.0ms

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:
6.0ms
(/ 1 (- (acos a)))
48.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series47.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (- (acos a)))
33.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.3s

Counts
586 → 586
Iterations
IterNodes
done5001
12939
0807

prune1.0s

Pruning

8 alts after pruning (6 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))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
26×add-exp-log
17×div-exp
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv
2×pow1 rec-exp clear-num frac-2neg 1-exp add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 246
Calls
2 calls:
4.0ms
(/ -1 (acos a))
18.0ms
(/ (/ -1 (acos a)) (/ 1 a))

series44.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ -1 (acos a))
33.0ms
(/ (/ -1 (acos a)) (/ 1 a))

simplify864.0ms

Counts
252 → 252
Iterations
IterNodes
done5001
11414
0414

prune722.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

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

sample700.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
173.0ms8007×body80nan