Details

Time bar (total: 9.5s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms272×body80nan

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
done45

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
3.0ms
(/ a (- (acos a)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ a (- (acos a)))

simplify1.6s

Counts
58 → 58
Iterations

Useful iterations: done (1.6s)

IterNodesCost
094601
1164569
2388549
31184545
42583544
done5000542

prune103.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
9.0ms
(/ 1 (/ (- (acos a)) a))
4.0ms
(/ (- (acos a)) a)

series60.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1 (/ (- (acos a)) a))
37.0ms
(/ (- (acos a)) a)

simplify2.7s

Counts
223 → 223
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02883166
16612616
215192301
349982236
done50002236

prune244.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 frac-2neg 1-exp clear-num add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 246
Calls
2 calls:
2.0ms
(/ -1 (acos a))
10.0ms
(/ (/ -1 (acos a)) (/ 1 a))

series28.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ -1 (acos a))
23.0ms
(/ (/ -1 (acos a)) (/ 1 a))

simplify1.5s

Counts
252 → 252
Iterations

Useful iterations: 2 (703.0ms)

IterNodesCost
04144738
112053777
233783374
done50013374

prune279.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
248×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
182×unpow-prod-down
40×add-exp-log
34×div-inv
29×div-exp
20×associate-/l*
16×associate-/r*
14×sqr-pow
9×add-cbrt-cube
8×pow-exp
4×cbrt-undiv pow-to-exp rec-exp 1-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/r/
Counts
2 → 307
Calls
2 calls:
2.0ms
(/ -1 (acos a))
17.0ms
(/ (pow (/ -1 (acos a)) 1) (/ 1 a))

series29.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ -1 (acos a))
23.0ms
(/ (pow (/ -1 (acos a)) 1) (/ 1 a))

simplify2.0s

Counts
313 → 313
Iterations

Useful iterations: 2 (986.0ms)

IterNodesCost
05286973
111364704
239114119
done50004119

prune294.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes48.0ms

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

sample437.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid
105.0ms8067×body80nan