Details

Time bar (total: 20.3s)

sample103.0ms

Algorithm
intervals
Results
37.0ms253×body80nan
33.0ms256×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

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)))

rewrite36.0ms

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))
27.0ms
(/ (acos (/ (- g) h)) 3.0)
6.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
20.0ms
(/ (acos (/ (- g) h)) 3.0)
147.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.7s

Counts
60 → 60
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune291.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

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))
1.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
8.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))
172.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
56.0ms
(/ (acos (/ (- g) h)) (sqrt 3.0))
305.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))

simplify2.7s

Counts
254 → 254
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03015628
16024955
211104648
325824594
done50004585

prune791.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:
6.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(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)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series548.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (acos (/ (- g) h)) 3.0)
142.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3))
234.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 3)
154.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.0s

Counts
101 → 101
Iterations

Useful iterations: 3 (865.0ms)

IterNodesCost
01371921
12321695
25021509
323661501
done50001501

prune477.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×cos-sum fma-udef unpow2 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp
Counts
4 → 58
Calls
4 calls:
7.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
15.0ms
(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))) 2))

series762.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2)
121.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
152.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
283.0ms
(cbrt (pow (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))) 2))

simplify2.8s

Counts
70 → 70
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0831452
11361307
22231209
34841204
424421204
done50011204

prune440.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02136
12536
done2536

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8000×body80valid
988.0ms8255×body80nan