Details

Time bar (total: 16.6s)

sample58.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
18.0ms276×body80nan

simplify6.0ms

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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 *-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:
Slowest
9.0ms
(/ a (- (acos a)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(/ a (- (acos a)))

simplify1.5s

Counts
59 → 59

prune503.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
Slowest
14.0ms
(/ 1 (/ (- (acos a)) a))
11.0ms
(/ (- (acos a)) a)

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(/ (- (acos a)) a)
27.0ms
(/ 1 (/ (- (acos a)) a))

simplify843.0ms

Counts
225 → 225

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
8×add-exp-log
6×add-cbrt-cube associate-/l*
4×neg-mul-1
3×pow1 div-exp
2×cbrt-undiv clear-num frac-2neg insert-posit16 add-log-exp
1×acos-asin rec-exp 1-exp div-sub associate-/r/ pow-flip distribute-neg-frac inv-pow
Counts
2 → 170
Calls
2 calls:
Slowest
7.0ms
(/ 1 (- (/ (acos a) a)))
5.0ms
(/ (acos a) a)

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(/ 1 (- (/ (acos a) a)))
32.0ms
(/ (acos a) a)

simplify666.0ms

Counts
176 → 176

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×neg-mul-1 add-exp-log
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 582
Calls
2 calls:
Slowest
12.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
5.0ms
(/ 1 (- (acos a)))

series56.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
10.0ms
(/ 1 (- (acos a)))

simplify1.1s

Counts
588 → 588

prune5.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
948.0ms7886×body80nan
574.0ms8000×body80valid