Details

Time bar (total: 16.4s)

sample37.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
11.0ms276×body80nan

simplify5.0ms

Counts
1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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 *-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:
Slowest
10.0ms
(/ a (- (acos a)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(/ a (- (acos a)))

simplify1.5s

Counts
61 → 61

prune538.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
Slowest
18.0ms
(/ (- (acos a)) a)
11.0ms
(/ 1 (/ (- (acos a)) a))

series126.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
68.0ms
(/ (- (acos a)) a)
58.0ms
(/ 1 (/ (- (acos a)) a))

simplify1.0s

Counts
229 → 229

prune2.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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×expm1-log1p-u cbrt-undiv clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin rec-exp 1-exp div-sub associate-/r/ pow-flip distribute-neg-frac inv-pow
Counts
2 → 174
Calls
2 calls:
Slowest
8.0ms
(/ 1 (- (/ (acos a) a)))
6.0ms
(/ (acos a) a)

series117.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
71.0ms
(/ 1 (- (/ (acos a) a)))
46.0ms
(/ (acos a) a)

simplify769.0ms

Counts
180 → 180

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
930×times-frac
437×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
182×distribute-lft-neg-in distribute-rgt-neg-in
61×div-inv
33×associate-/r*
16×associate-/l*
15×add-exp-log
14×neg-mul-1
9×add-cbrt-cube
8×div-exp
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×associate-/r/ pow-flip distribute-neg-frac inv-pow associate-/l/
Counts
2 → 488
Calls
2 calls:
Slowest
13.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))
5.0ms
(/ 1 (acos a))

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
66.0ms
(/ (/ 1 (acos a)) (- (/ 1 a)))
10.0ms
(/ 1 (acos a))

simplify1.0s

Counts
494 → 494

prune5.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
669.0ms8000×body80valid
446.0ms7886×body80nan