Details

Time bar (total: 20.9s)

sample72.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
20.0ms229×body80nan

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
0.9b
(/ (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)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
142.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.2s

Counts
60 → 60
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
156×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv
6×div-sub
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×acos-neg acos-asin frac-2neg distribute-frac-neg clear-num fma-udef
1×cos-sum associate-/l/
Counts
4 → 242
Calls
4 calls:
40.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
20.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
0.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
57.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
167.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
302.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

simplify2.6s

Counts
254 → 254
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03015628
16024955
211104648
325774594
done50004585

prune952.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
0.0b
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×log-prod exp-prod associate-/r* fma-udef associate-/l*
2×cos-sum div-sub
1×cbrt-undiv acos-neg acos-asin log-div frac-2neg exp-diff distribute-frac-neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
6.0ms
(log (exp (cos (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)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
155.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
171.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.4s

Counts
81 → 81
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
01301269
11881200
23311082
36291082
413911082
540591082
done50001082

prune456.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
0.9b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(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)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 expm1-log1p-u div-sub log1p-expm1-u add-log-exp
2×cbrt-undiv acos-neg acos-asin cos-sum frac-2neg distribute-frac-neg div-exp clear-num fma-udef div-inv
Counts
4 → 82
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3.0)
23.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (acos (/ (- g) h)) 3.0)
21.0ms
(/ (acos (/ (- g) h)) 3.0)
144.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
171.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.3s

Counts
94 → 94
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0941290
11431254
22471146
34081146
46481146
59661146
620161146
done50001146

prune917.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01937
12437
done2437

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.2s8000×body80valid
810.0ms8004×body80nan