Details

Time bar (total: 11.2s)

sample47.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
11.0ms229×body80nan

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

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)))

rewrite10.0ms

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)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
18.0ms
(/ (acos (/ (- g) h)) 3.0)
104.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.2s

Counts
60 → 60
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune190.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize15.0ms

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)))

rewrite10.0ms

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:
0.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
6.0ms
(/ (acos (/ (- g) h)) 3.0)
0.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
11.0ms
(/ (acos (/ (- g) h)) 3.0)
164.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
100.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.1s

Counts
75 → 75
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
01151134
11691072
2277964
3439964
4679964
51008964
62073964
done5000964

prune249.0ms

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×cos-sum fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (acos (/ (- g) h)))
1.0ms
(cbrt (acos (/ (- g) h)))
1.0ms
(cbrt (acos (/ (- g) h)))
2.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (acos (/ (- g) h)))
45.0ms
(cbrt (acos (/ (- g) h)))
40.0ms
(cbrt (acos (/ (- g) h)))
221.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)))))

simplify936.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
059965
192938
2161667
3355574
41781574
done5000574

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
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×cbrt-undiv acos-neg acos-asin log-div frac-2neg exp-diff distribute-frac-neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
5.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
6.0ms
(/ (acos (/ (- g) h)) 3.0)
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
103.0ms
(log (exp (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
11.0ms
(/ (acos (/ (- g) h)) 3.0)
120.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.2s

Counts
81 → 81
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
01301269
11881200
23311082
36291082
413911082
540591082
done50001082

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01937
12437
done2437

end0.0ms

sample1.3s

Algorithm
intervals
Results
482.0ms8000×body80valid
378.0ms7844×body80nan