Details

Time bar (total: 10.1s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms267×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
8.0ms
(/ a (- (acos a)))

series51.0ms

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

simplify1.3s

Counts
60 → 60
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
096613
1173581
2463563
32074563
done5000563

prune199.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- (acos a)) a))
0.3b
(/ (- (acos a)) a)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 221
Calls
2 calls:
18.0ms
(/ 1 (/ (- (acos a)) a))
10.0ms
(/ (- (acos a)) a)

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 1 (/ (- (acos a)) a))
50.0ms
(/ (- (acos a)) a)

simplify1.9s

Counts
227 → 227
Iterations

Useful iterations: 2 (847.0ms)

IterNodesCost
02923194
17902650
239032578
done50002578

prune466.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (sqrt 1) (/ (- (acos a)) a))
0.3b
(/ (- (acos a)) a)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
235×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
105×sqrt-prod
75×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
25×neg-mul-1
16×associate-/l*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/
Counts
2 → 320
Calls
2 calls:
46.0ms
(/ (sqrt 1) (/ (- (acos a)) a))
19.0ms
(/ (- (acos a)) a)

series84.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (sqrt 1) (/ (- (acos a)) a))
39.0ms
(/ (- (acos a)) a)

simplify751.0ms

Counts
326 → 326
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
03855647
110404233
done50004124

prune473.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×add-exp-log neg-mul-1
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 584
Calls
2 calls:
18.0ms
(/ 1 (- (acos a)))
42.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series41.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
32.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.8s

Counts
590 → 590
Iterations

Useful iterations: done (2.8s)

IterNodesCost
081112543
129509132
done50018296

prune573.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample979.0ms

Algorithm
intervals
Results
331.0ms8000×body80valid
195.0ms8113×body80nan