Details

Time bar (total: 26.8s)

sample43.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
13.0ms263×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

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
10.0ms
(/ a (- (acos a)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ a (- (acos a)))

simplify1.3s

Counts
61 → 61
Iterations
IterNodes
42132
3769
2345
1167
097

prune350.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 223
Calls
2 calls:
6.0ms
(/ (- (acos a)) a)
8.0ms
(/ 1 (/ (- (acos a)) a))

series90.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- (acos a)) a)
41.0ms
(/ 1 (/ (- (acos a)) a))

simplify7.8s

Counts
229 → 229
Iterations
IterNodes
33796
21543
1763
0294

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))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
421×times-frac
197×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
29×div-inv
23×add-exp-log
16×div-exp
13×associate-/r* add-cbrt-cube associate-/l*
8×cbrt-undiv
2×rec-exp 1-exp
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 222
Calls
1 calls:
20.0ms
(/ (/ -1 (acos a)) (/ 1 a))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (/ -1 (acos a)) (/ 1 a))

simplify10.8s

Counts
225 → 225
Iterations
IterNodes
22912
11245
0410

prune676.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite12.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 85
Calls
4 calls:
8.0ms
(* (cbrt a) (cbrt a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series1.5s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt a) (cbrt a))
254.0ms
(cbrt a)
720.0ms
(cbrt a)
284.0ms
(cbrt a)

simplify1.0s

Counts
97 → 97
Iterations
IterNodes
43178
3858
2330
1135
067

prune566.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes108.0ms

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

sample1.2s

Algorithm
intervals
Results
601.0ms8000×body80valid
405.0ms7861×body80nan