Details

Time bar (total: 20.0s)

sample89.0ms

Algorithm
intervals
Results
31.0ms304×body80nan
29.0ms256×body80valid

simplify52.0ms

Counts
1 → 1
Iterations
IterNodes
done30
530
429
327
223
121
014

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

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)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×acos-asin cbrt-undiv acos-neg cos-sum clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
3 → 51
Calls
3 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
9.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series227.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
24.0ms
(/ (acos (/ (- g) h)) 3.0)
146.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.7s

Counts
60 → 60
Iterations
IterNodes
done5007
42502
3825
2304
1158
0103

prune404.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×exp-prod associate-/r* fma-udef associate-/l*
2×cos-sum div-sub
1×acos-asin cbrt-undiv acos-neg clear-num frac-2neg exp-diff div-exp distribute-frac-neg div-inv rem-exp-log
Counts
4 → 65
Calls
4 calls:
3.0ms
(exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
5.0ms
(/ (acos (/ (- g) h)) 3.0)
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
41.0ms
(fma (/ 2.0 3.0) PI (/ (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)))

simplify2.6s

Counts
77 → 77
Iterations
IterNodes
done5015
42633
3847
2351
1186
0118

prune702.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cos-sum associate-/r* fma-udef associate-/l*
2×div-sub
1×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp distribute-frac-neg div-inv
Counts
4 → 61
Calls
4 calls:
10.0ms
(/ (acos (/ (- g) h)) 3.0)
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (acos (/ (- g) h)) 3.0)
183.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
153.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
174.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.1s

Counts
73 → 73
Iterations
IterNodes
done5003
41906
3680
2279
1148
094

prune734.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize189.0ms

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 cos-sum *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
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)))
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)))

series525.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
111.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
146.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
145.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify4.7s

Counts
52 → 52
Iterations
IterNodes
done5000
9969
8361
7197
6119
598
485
375
268
153
038

prune478.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes453.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done28
128
023

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s8104×body80nan
1.2s8000×body80valid