Details

Time bar (total: 20.1s)

sample93.0ms

Algorithm
intervals
Results
40.0ms256×body80valid
21.0ms229×body80nan

simplify29.0ms

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

prune10.0ms

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

rewrite9.0ms

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

series193.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
130.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
20.0ms
(/ (acos (/ (- g) h)) 3.0)

simplify2.5s

Counts
60 → 60
Iterations
IterNodes
done5009
42463
3774
2299
1158
0103

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
330×add-sqr-sqrt
324×sqrt-prod
312×times-frac
176×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
12×associate-/r* associate-/l*
11×pow1
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times cos-sum rem-square-sqrt pow-plus sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
4 → 337
Calls
4 calls:
64.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
4.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
13.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
8.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

series526.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))
307.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))
59.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))
65.0ms
(/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))

simplify2.6s

Counts
349 → 349
Iterations
IterNodes
done5000
21914
1748
0240

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
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×acos-asin cbrt-undiv acos-neg log-div clear-num frac-2neg exp-diff div-exp rem-log-exp distribute-frac-neg div-inv
Counts
4 → 69
Calls
4 calls:
4.0ms
(log (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))
2.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
6.0ms
(/ (acos (/ (- g) h)) 3.0)

series339.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
47.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
137.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
19.0ms
(/ (acos (/ (- g) h)) 3.0)

simplify2.7s

Counts
81 → 81
Iterations
IterNodes
done5000
42612
3845
2355
1196
0130

prune576.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
6×div-sub
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×acos-asin cbrt-undiv acos-neg clear-num frac-2neg div-exp distribute-frac-neg div-inv
1×cos-sum fma-udef
Counts
4 → 103
Calls
4 calls:
4.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
11.0ms
(/ (acos (/ (- g) h)) 3.0)
11.0ms
(/ (acos (/ (- g) h)) 3.0)
13.0ms
(/ (acos (/ (- g) h)) 3.0)

series185.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
12.0ms
(/ (acos (/ (- g) h)) 3.0)
22.0ms
(/ (acos (/ (- g) h)) 3.0)
20.0ms
(/ (acos (/ (- g) h)) 3.0)

simplify3.0s

Counts
115 → 115
Iterations
IterNodes
done5005
54256
41631
3646
2277
1148
094

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes437.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s8000×body80valid
817.0ms7859×body80nan