Details

Time bar (total: 21.0s)

sample33.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
10.0ms263×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-cbrt-cube add-exp-log associate-/l*
1×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 56
Calls
1 calls:
5.0ms
(/ a (- (acos a)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
42083
3760
2340
1165
095

prune254.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- (acos a)) a)
0.4b
(/ 1 (/ (- (acos a)) a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 219
Calls
2 calls:
6.0ms
(/ (- (acos a)) a)
7.0ms
(/ 1 (/ (- (acos a)) a))

series71.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- (acos a)) a)
33.0ms
(/ 1 (/ (- (acos a)) a))

simplify7.5s

Counts
225 → 225
Iterations
IterNodes
33465
21621
1756
0290

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
1177×times-frac
526×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
126×distribute-lft-neg-in distribute-rgt-neg-in
50×div-inv
42×neg-mul-1
41×add-exp-log
34×associate-/l*
32×div-exp
13×associate-/r* add-cbrt-cube
8×cbrt-undiv rec-exp 1-exp
1×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp associate-/l/
Counts
1 → 522
Calls
1 calls:
12.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series49.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify4.4s

Counts
525 → 525
Iterations
IterNodes
12590
0802

prune1.6s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
10.0ms
(* (cbrt a) (cbrt a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series1.3s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (cbrt a) (cbrt a))
303.0ms
(cbrt a)
308.0ms
(cbrt a)
371.0ms
(cbrt a)

simplify1.1s

Counts
89 → 89
Iterations
IterNodes
42748
3814
2309
1132
063

prune800.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
14
04

end0.0ms

sample1.4s

Algorithm
intervals
Results
644.0ms8000×body80valid
481.0ms7861×body80nan