Details

Time bar (total: 13.8s)

sample39.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
12.0ms245×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune4.0ms

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×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)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
61 → 61
Iterations
IterNodes
done5000
31207
2438
1174
097

prune239.0ms

Pruning

10 alts after pruning (9 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))

rewrite31.0ms

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:
14.0ms
(/ (- (acos a)) a)
12.0ms
(/ 1 (/ (- (acos a)) a))

series77.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- (acos a)) a)
31.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.4s

Counts
229 → 229
Iterations
IterNodes
done5000
33675
21523
1778
0294

prune560.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (- (acos a)) (/ 1 a))
0.4b
(/ 1 (* (- (acos a)) (/ 1 a)))

rewrite28.0ms

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-*r*
10×associate-*l*
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×expm1-log1p-u pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 log1p-expm1-u div-inv pow-flip add-log-exp
1×distribute-lft-neg-out clear-num associate-/r* neg-mul-1 frac-2neg *-commutative inv-pow
Counts
2 → 90
Calls
2 calls:
11.0ms
(* (- (acos a)) (/ 1 a))
16.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (- (acos a)) (/ 1 a))
34.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))

simplify2.2s

Counts
96 → 96
Iterations
IterNodes
done5001
33040
21010
1359
0131

prune335.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt a)
0.7b
(cbrt a)
1.0b
(sqrt (acos a))
1.0b
(sqrt (acos a))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(sqrt (acos a))
1.0ms
(sqrt (acos a))

series574.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt a)
270.0ms
(cbrt a)
16.0ms
(sqrt (acos a))
14.0ms
(sqrt (acos a))

simplify4.4s

Counts
72 → 72
Iterations
IterNodes
done5001
64722
51321
4467
3220
2120
168
046

prune285.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample833.0ms

Algorithm
intervals
Results
371.0ms8000×body80valid
265.0ms8098×body80nan