Details

Time bar (total: 7.8s)

sample82.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
25.0ms268×body80nan

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num div-inv
Counts
3 → 51
Calls
3 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
7.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
21.0ms
(/ (acos (/ (- g) h)) 3.0)
168.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0103842
1158818
2374740
31586740
done5001740

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
1.0b
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×log1p-expm1-u
4×pow1 expm1-log1p-u add-log-exp
3×associate-/r* associate-/l*
2×div-sub
1×cbrt-undiv acos-neg acos-asin cos-sum log1p-udef expm1-log1p frac-2neg log1p-expm1 distribute-frac-neg div-exp clear-num fma-udef div-inv expm1-udef
Counts
4 → 63
Calls
4 calls:
18.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
1.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series639.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (acos (/ (- g) h)) 3.0)
241.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
227.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
149.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: 3 (290.0ms)

IterNodesCost
01151134
11811072
2396966
31390964
done5001964

prune370.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01315
11615
done1615

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.5s8053×body80nan
1.2s8000×body80valid