Details

Time bar (total: 12.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms245×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
04

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(/ a (- (acos a)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ a (- (acos a)))

simplify1.7s

Counts
59 → 59
Iterations
IterNodes
done5001
31333
2452
1172
095

prune222.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
5.0ms
(/ (- (acos a)) a)
7.0ms
(/ 1 (/ (- (acos a)) a))

series92.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- (acos a)) a)
34.0ms
(/ 1 (/ (- (acos a)) a))

simplify2.1s

Counts
225 → 225
Iterations
IterNodes
done5001
33593
21568
1770
0290

prune580.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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×pow-prod-down associate-*r/ associate-/r/ un-div-inv insert-posit16 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 → 86
Calls
2 calls:
24.0ms
(* (- (acos a)) (/ 1 a))
20.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (- (acos a)) (/ 1 a))
50.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))

simplify2.6s

Counts
92 → 92
Iterations
IterNodes
done5091
33482
21055
1344
0127

prune302.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

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×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(sqrt (acos a))
1.0ms
(sqrt (acos a))

series514.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt a)
246.0ms
(cbrt a)
13.0ms
(sqrt (acos a))
13.0ms
(sqrt (acos a))

simplify3.2s

Counts
64 → 64
Iterations
IterNodes
done5010
64104
51152
4438
3200
2116
164
042

prune260.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes118.0ms

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

sample812.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid
256.0ms8098×body80nan