Details

Time bar (total: 16.4s)

sample50.0ms

Algorithm
intervals
Results
14.0ms283×body80nan
12.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:
13.0ms
(/ a (- (acos a)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ a (- (acos a)))

simplify1.8s

Counts
60 → 60
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
096613
1173581
2463563
32074563
done5000563

prune307.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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:
14.0ms
(/ (- (acos a)) a)
25.0ms
(/ 1 (/ (- (acos a)) a))

series95.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- (acos a)) a)
46.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.5s

Counts
227 → 227
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02923194
17902648
239972582
done50002578

prune841.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

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×expm1-log1p-u pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 88
Calls
2 calls:
43.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
43.0ms
(* (- (acos a)) (/ 1 a))

series109.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
63.0ms
(* (- (acos a)) (/ 1 a))

simplify4.1s

Counts
94 → 94
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0129968
1383723
22410605
done5000601

prune402.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite176.0ms

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:
15.0ms
(/ 1 (- (acos a)))
61.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series70.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (- (acos a)))
56.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify3.4s

Counts
590 → 590
Iterations

Useful iterations: done (3.3s)

IterNodesCost
081112543
129509132
done50018296

prune886.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

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

sample1.2s

Algorithm
intervals
Results
386.0ms8000×body80valid
278.0ms8118×body80nan