Details

Time bar (total: 11.5s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms267×body80nan

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
8.0ms
(/ a (- (acos a)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
58 → 58
Iterations

Useful iterations: 3 (268.0ms)

IterNodesCost
094601
1171569
2459553
31923551
done5000551

prune125.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
23.0ms
(/ 1 (/ (- (acos a)) a))
13.0ms
(/ (- (acos a)) a)

series91.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (/ (- (acos a)) a))
44.0ms
(/ (- (acos a)) a)

simplify1.9s

Counts
223 → 223
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02883166
17852622
243592554
done50002550

prune365.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (* (- (acos a)) (/ 1 a)))
0.4b
(* (- (acos a)) (/ 1 a))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
15×*-un-lft-identity
14×add-cube-cbrt times-frac
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-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 84
Calls
2 calls:
31.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
20.0ms
(* (- (acos a)) (/ 1 a))

series81.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
47.0ms
(* (- (acos a)) (/ 1 a))

simplify3.4s

Counts
90 → 90
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0125932
1378695
22575577
done5001573

prune176.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

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×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 580
Calls
2 calls:
15.0ms
(/ 1 (- (acos a)))
33.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series38.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
31.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.1s

Counts
586 → 586
Iterations

Useful iterations: done (2.0s)

IterNodesCost
080712511
129399204
done50008268

prune498.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample972.0ms

Algorithm
intervals
Results
329.0ms8000×body80valid
258.0ms7950×body80nan