Details

Time bar (total: 13.9s)

sample20.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms250×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ a (- (acos a)))

simplify1.0s

Counts
58 → 58
Iterations
IterNodes
done5001
32040
2462
1171
094

prune217.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
12.0ms
(/ (- (acos a)) a)
14.0ms
(/ 1 (/ (- (acos a)) a))

series100.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- (acos a)) a)
47.0ms
(/ 1 (/ (- (acos a)) a))

simplify1.7s

Counts
223 → 223
Iterations
IterNodes
done5000
23876
1785
0288

prune739.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:
7.0ms
(/ 1 (- (acos a)))
26.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series64.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (- (acos a)))
50.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.5s

Counts
586 → 586
Iterations
IterNodes
done5001
12939
0807

prune793.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (pow (- (acos a)) 3))
0.4b
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
1.0b
(cbrt (/ 1 (pow (- (acos a)) 3)))
1.0b
(pow (- (acos a)) 3)

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
3127×times-frac
1402×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1230×cbrt-prod
500×unpow-prod-down cube-prod
300×distribute-lft-neg-in distribute-rgt-neg-in
103×div-inv
100×neg-mul-1
88×associate-/l*
50×cube-mult unpow3 sqr-pow
39×associate-/r*
23×add-exp-log
12×div-exp
10×add-cbrt-cube
5×pow1
4×pow-to-exp cbrt-undiv rec-exp 1-exp pow-exp add-log-exp
3×pow-unpow
2×cbrt-div clear-num frac-2neg
1×pow-pow pow1/3 cube-neg associate-/r/ pow-flip inv-pow rem-cube-cbrt associate-/l/
Counts
4 → 1479
Calls
4 calls:
34.0ms
(/ 1 (pow (- (acos a)) 3))
107.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
9.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
4.0ms
(pow (- (acos a)) 3)

series355.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ 1 (pow (- (acos a)) 3))
116.0ms
(/ (cbrt (/ 1 (pow (- (acos a)) 3))) (/ 1 a))
66.0ms
(cbrt (/ 1 (pow (- (acos a)) 3)))
112.0ms
(pow (- (acos a)) 3)

simplify2.9s

Counts
1491 → 1491
Iterations
IterNodes
done5001
13492
01351

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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

sample1.3s

Algorithm
intervals
Results
608.0ms8142×body80nan
376.0ms8000×body80valid