Details

Time bar (total: 12.5s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms230×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: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
096613
1173581
2463563
32074563
done5000563

prune181.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:
18.0ms
(/ 1 (/ (- (acos a)) a))
23.0ms
(/ (- (acos a)) a)

series99.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (/ (- (acos a)) a))
63.0ms
(/ (- (acos a)) a)

simplify2.0s

Counts
227 → 227
Iterations

Useful iterations: 2 (870.0ms)

IterNodesCost
02923194
17902650
239032578
done50002578

prune415.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite169.0ms

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)))
62.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series37.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ 1 (- (acos a)))
27.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify2.6s

Counts
590 → 590
Iterations

Useful iterations: done (2.5s)

IterNodesCost
081112543
129509132
done50018296

prune539.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
40×times-frac div-exp
25×add-cbrt-cube
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×prod-exp associate-/r*
12×cbrt-undiv
10×rec-exp 1-exp
4×cbrt-unprod div-inv associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip mul-1-neg associate-*r/ distribute-frac-neg associate-/r/ un-div-inv inv-pow
Counts
2 → 102
Calls
2 calls:
6.0ms
(/ 1 (acos a))
26.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series44.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ 1 (acos a))
35.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify3.6s

Counts
108 → 108
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
01721300
1515974
24184762
done5000762

prune186.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample981.0ms

Algorithm
intervals
Results
327.0ms8000×body80valid
289.0ms8027×body80nan