Details

Time bar (total: 22.8s)

sample119.0ms

Algorithm
intervals
Results
56.0ms256×body80valid
31.0ms264×body80nan

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune6.0ms

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)))

rewrite22.0ms

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))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
14.0ms
(/ (acos (/ (- g) h)) 3.0)
133.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.7s

Counts
60 → 60
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune287.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:
1.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
14.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
6.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
20.0ms
(/ (acos (/ (- g) h)) 3.0)
232.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
140.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.5s

Counts
75 → 75
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
01151134
11691072
2277964
3439964
4679964
51008964
62073964
done5000964

prune382.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.0b

localize17.0ms

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)

rewrite41.0ms

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:
13.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
13.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
4.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

series586.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (acos (/ (- g) h)) 3.0)
176.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
162.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
229.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)

simplify3.0s

Counts
101 → 101
Iterations

Useful iterations: 3 (794.0ms)

IterNodesCost
01371921
12321695
25051509
323221501
done50011501

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
1.0b
(cbrt (pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (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))) 2)
1.0b
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
8×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-unpow
5×unpow-prod-down pow-pow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-exp sqr-pow
2×cube-mult pow-to-exp unpow3 cube-prod pow-prod-down unpow2 rem-cube-cbrt
1×cos-sum pow3 prod-exp rem-cbrt-cube cbrt-unprod fma-udef
Counts
4 → 75
Calls
4 calls:
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
7.0ms
(cbrt (pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3))
4.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
19.0ms
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)

series705.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
151.0ms
(cbrt (pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3))
176.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
243.0ms
(pow (* (cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))) 3)

simplify5.3s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01152632
12052191
25441452
333441356
done50001356

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02136
12536
done2536

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8000×body80valid
891.0ms8046×body80nan