Details

Time bar (total: 19.2s)

sample104.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
27.0ms280×body80nan

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

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)))

rewrite32.0ms

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))
24.0ms
(/ (acos (/ (- g) h)) 3.0)
3.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
20.0ms
(/ (acos (/ (- g) h)) 3.0)
165.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify3.2s

Counts
60 → 60
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0103842
1153818
2275740
3538740
41224740
53602740
done5000740

prune292.0ms

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod
18×add-exp-log
11×add-cbrt-cube
10×associate-/l*
9×div-inv
7×cbrt-undiv div-exp associate-/r*
6×div-sub
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×acos-neg acos-asin frac-2neg distribute-frac-neg prod-exp clear-num cbrt-unprod fma-udef
1×cos-sum associate-/l/
Counts
4 → 121
Calls
4 calls:
11.0ms
(/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))
40.0ms
(/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
1.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))

series623.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))
110.0ms
(/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
133.0ms
(fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
243.0ms
(cos (fma (/ 2.0 3.0) PI (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))

simplify2.9s

Counts
133 → 133
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02022856
13822479
28682145
323882139
done50002133

prune722.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (acos (/ (- g) h)) 3.0)
0.9b
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (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)))

rewrite29.0ms

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:
13.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
1.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
12.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (acos (/ (- g) h)) 3.0)
182.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
242.0ms
(log1p (expm1 (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)))

simplify3.3s

Counts
75 → 75
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
01151134
11691072
2281964
3444964
4684964
51018964
62087964
done5000964

prune456.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
11×pow1
6×add-exp-log pow1/3 swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×cos-sum fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
35.0ms
(* (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
5.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series711.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(* (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
132.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
123.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))
167.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.8s

Counts
84 → 84
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0792237
11302064
22581872
34791576
410501560
done50011515

prune529.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
11922
done1922

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s7965×body80nan
1.2s8000×body80valid