Details

Time bar (total: 50.6s)

sample30.0ms

Algorithm
intervals
Results
9.0ms276×body80nan
7.0ms256×body80valid

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: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 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)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ a (- (acos a)))

simplify25.2s

Counts
60 → 60
Iterations

Useful iterations: done (25.2s)

IterNodesCost
096613
1427581
done5000563

prune142.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.3b
(* a (/ 1 (- (acos a))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
53×add-sqr-sqrt
47×*-un-lft-identity
46×add-cube-cbrt
34×associate-*r*
21×distribute-lft-neg-in distribute-rgt-neg-in
15×add-exp-log
10×associate-/r*
9×add-cbrt-cube
7×neg-mul-1
5×pow1
4×div-exp prod-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 120
Calls
2 calls:
17.0ms
(/ 1 (- (acos a)))
49.0ms
(* a (/ 1 (- (acos a))))

series67.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ 1 (- (acos a)))
56.0ms
(* a (/ 1 (- (acos a))))

simplify9.3s

Counts
126 → 126
Iterations

Useful iterations: done (9.3s)

IterNodesCost
01461224
11977892
done5001844

prune241.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (- (acos a)) a)
0.4b
(/ 1 (/ (- (acos a)) a))

rewrite50.0ms

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:
13.0ms
(/ (- (acos a)) a)
16.0ms
(/ 1 (/ (- (acos a)) a))

series80.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- (acos a)) a)
38.0ms
(/ 1 (/ (- (acos a)) a))

simplify9.9s

Counts
227 → 227
Iterations

Useful iterations: done (9.9s)

IterNodesCost
02923194
127252563
done50002515

prune504.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- (acos a)))
0.6b
(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite130.0ms

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:
9.0ms
(/ 1 (- (acos a)))
39.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series52.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
44.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify1.3s

Counts
590 → 590
Iterations

Useful iterations: done (1.3s)

IterNodesCost
081112543
done500111424

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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

sample1.5s

Algorithm
intervals
Results
380.0ms8000×body80valid
206.0ms7937×body80nan