Details

Time bar (total: 31.3s)

sample36.0ms

Algorithm
intervals
Results
13.0ms274×body80nan
13.0ms256×body80valid

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
14
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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 div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
9.0ms
(/ a (- (acos a)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ a (- (acos a)))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
42083
3756
2340
1164
094

prune426.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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 add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/ pow-flip inv-pow
Counts
2 → 217
Calls
2 calls:
10.0ms
(/ (- (acos a)) a)
13.0ms
(/ 1 (/ (- (acos a)) a))

series115.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- (acos a)) a)
46.0ms
(/ 1 (/ (- (acos a)) a))

simplify14.8s

Counts
223 → 223
Iterations
IterNodes
34113
21599
1754
0288

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
262×cbrt-prod
228×times-frac
176×add-sqr-sqrt
164×*-un-lft-identity
152×add-cube-cbrt
69×distribute-rgt-neg-in
63×distribute-lft-neg-in
43×swap-sqr
37×associate-*r* associate-*l*
21×neg-mul-1
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ (- (acos a)) a))
17.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))

series808.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (/ (- (acos a)) a))
199.0ms
(cbrt (/ (- (acos a)) a))
208.0ms
(cbrt (/ (- (acos a)) a))
203.0ms
(* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))

simplify1.9s

Counts
288 → 288
Iterations
IterNodes
32153
21021
1513
0296

prune2.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ (- (acos a)) a))
0.5b
(cbrt (/ 1 a))
1.0b
(cbrt (- (acos a)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
91×cbrt-prod
69×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
7×neg-mul-1
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
3×cbrt-div div-inv
Counts
4 → 126
Calls
4 calls:
3.0ms
(cbrt (/ (- (acos a)) a))
3.0ms
(cbrt (/ (- (acos a)) a))
2.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt (- (acos a)))

series1.0s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (/ (- (acos a)) a))
261.0ms
(cbrt (/ (- (acos a)) a))
250.0ms
(cbrt (/ 1 a))
233.0ms
(cbrt (- (acos a)))

simplify3.6s

Counts
138 → 138
Iterations
IterNodes
44351
31329
2585
1329
0203

prune1.8s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes142.0ms

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
14
04

end0.0ms

sample1.4s

Algorithm
intervals
Results
621.0ms8000×body80valid
529.0ms8249×body80nan