Details

Time bar (total: 16.3s)

sample92.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
27.0ms204×body80nan

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

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))
6.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
15.0ms
(/ (acos (/ (- g) h)) 3.0)
126.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.1s

Counts
60 → 60
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (acos (/ (- g) h)) 3.0)
1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
1.0b
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
1.0b
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-mult unpow3 div-sub sqr-pow
1×cbrt-undiv acos-neg acos-asin pow-to-exp cos-sum pow-pow frac-2neg pow1/3 distribute-frac-neg div-exp pow-exp clear-num rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
7.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

series505.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (acos (/ (- g) h)) 3.0)
135.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
128.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
217.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

simplify2.4s

Counts
101 → 101
Iterations

Useful iterations: 3 (733.0ms)

IterNodesCost
01371921
12321695
25051509
323221501
done50011501

prune335.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (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 (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×cbrt-prod
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down associate-/r* associate-/l*
2×cos-sum div-sub fma-udef
1×cbrt-undiv acos-neg acos-asin frac-2neg pow1/3 distribute-frac-neg div-exp clear-num div-inv unpow2 sqr-pow
Counts
4 → 69
Calls
4 calls:
6.0ms
(/ (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)))
4.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))

series586.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (acos (/ (- g) h)) 3.0)
129.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
151.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
294.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))

simplify1.3s

Counts
81 → 81
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
01231407
11971303
23461199
36251196
416331196
done50001196

prune413.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 2.0 3.0) PI)
1.0b
(* (/ 2.0 3.0) PI)
1.0b
(sin (* (/ 2.0 3.0) PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
8×pow1
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
16.0ms
(* (/ 2.0 3.0) PI)
15.0ms
(* (/ 2.0 3.0) PI)
11.0ms
(sin (* (/ 2.0 3.0) PI))
15.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (/ 2.0 3.0) PI)
0.0ms
(* (/ 2.0 3.0) PI)
0.0ms
(sin (* (/ 2.0 3.0) PI))
0.0ms
(cos (* (/ 2.0 3.0) PI))

simplify4.1s

Counts
90 → 90
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
098804
1188794
2451706
31152706
43135706
done5000706

prune504.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02651
13351
done3351

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s8000×body80valid
642.0ms7722×body80nan