Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms263×body80nan

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043
143
done43

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

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

series27.0ms

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

simplify95.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0164376
1491364
21440359
33702358
45001358
done5001358

prune118.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
17.0ms
(/ 1 (/ (- (acos a)) a))
8.0ms
(/ (- (acos a)) a)

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (/ (- (acos a)) a))
35.0ms
(/ (- (acos a)) a)

simplify72.0ms

Counts
223 → 223
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06591916
130601699
250021507
done50021507

prune276.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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 frac-2neg clear-num add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/
Counts
2 → 316
Calls
2 calls:
17.0ms
(/ (sqrt 1) (/ (- (acos a)) a))
8.0ms
(/ (- (acos a)) a)

series63.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (sqrt 1) (/ (- (acos a)) a))
35.0ms
(/ (- (acos a)) a)

simplify91.0ms

Counts
322 → 322
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08673559
141482921
250022473
done50022473

prune296.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
23×add-sqr-sqrt
17×*-un-lft-identity times-frac
16×add-cube-cbrt add-cbrt-cube
13×associate-*r*
10×associate-*l*
9×div-exp
8×prod-exp
6×sqrt-prod associate-/l*
5×cbrt-undiv
4×pow1 cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in unswap-sqr
2×rec-exp 1-exp associate-*r/ associate-/r/ un-div-inv div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
2 → 77
Calls
2 calls:
14.0ms
(/ (sqrt 1) (* (- (acos a)) (/ 1 a)))
21.0ms
(* (- (acos a)) (/ 1 a))

series67.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (sqrt 1) (* (- (acos a)) (/ 1 a)))
35.0ms
(* (- (acos a)) (/ 1 a))

simplify40.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348532
11740415
25001350
done5001350

prune121.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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
043
143
done43

end0.0ms

sample486.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid
103.0ms8266×body80nan