Details

Time bar (total: 13.7s)

sample34.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
10.0ms272×body80nan

simplify6.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 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×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 56
Calls
1 calls:
Slowest
10.0ms
(/ a (- (acos a)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(/ a (- (acos a)))

simplify1.3s

Counts
59 → 59

prune380.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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)

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ (- (acos a)) a)
26.0ms
(/ 1 (/ (- (acos a)) a))

simplify822.0ms

Counts
225 → 225

prune1.6s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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
26.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
9.0ms
(/ 1 (- (acos a)))

series56.0ms

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

simplify1.7s

Counts
588 → 588

prune4.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×add-cbrt-cube prod-exp
15×*-un-lft-identity
14×times-frac add-cube-cbrt
13×associate-*l*
10×associate-*r*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×pow-prod-down associate-*l/ insert-posit16 div-inv pow-flip add-log-exp
1×clear-num associate-/r* neg-mul-1 frac-2neg associate-/r/ *-commutative distribute-rgt-neg-out inv-pow
Counts
2 → 84
Calls
2 calls:
Slowest
18.0ms
(/ 1 (* (/ 1 a) (- (acos a))))
16.0ms
(* (/ 1 a) (- (acos a)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
47.0ms
(/ 1 (* (/ 1 a) (- (acos a))))
41.0ms
(* (/ 1 a) (- (acos a)))

simplify1.2s

Counts
90 → 90

prune915.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
578.0ms8000×body80valid
389.0ms8078×body80nan