Details

Time bar (total: 19.6s)

sample74.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
24.0ms267×body80nan

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune31.0ms

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)))

rewrite15.0ms

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:
1.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
9.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series237.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
164.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.3s

Counts
60 → 60
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune290.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

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)))

rewrite30.0ms

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:
1.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
10.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
144.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
18.0ms
(/ (acos (/ (- g) h)) 3.0)
161.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.5s

Counts
81 → 81
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
01301269
11881200
23311082
36291082
413911082
540591082
done50001082

prune379.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

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)))

rewrite36.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
11.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
12.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (acos (/ (- g) h)) 3.0)
13.0ms
(/ (acos (/ (- g) h)) 3.0)
127.0ms
(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)))

simplify3.4s

Counts
94 → 94
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0941290
11431254
22471146
34081146
46481146
59661146
620161146
done50001146

prune766.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
11×pow1
6×add-exp-log pow1/3 swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×cos-sum fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
30.0ms
(* (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))

series792.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
186.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
128.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
300.0ms
(* (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))

simplify2.1s

Counts
84 → 84
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0792237
11302064
22581872
34811576
410561560
done50011515

prune655.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes151.0ms

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
02568
13168
done3168

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s7957×body80nan
1.1s8000×body80valid