Details

Time bar (total: 17.8s)

sample105.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
28.0ms215×body80nan

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
01416
12116
22516
32915
43215
53315
done3315

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize45.0ms

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)))

rewrite25.0ms

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))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
8.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))
28.0ms
(/ (acos (/ (- g) h)) 3.0)
208.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify2.0s

Counts
60 → 60
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
0103842
1158818
2374740
31586740
done5001740

prune546.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize53.0ms

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)))

rewrite24.0ms

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:
1.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
13.0ms
(/ (acos (/ (- g) h)) 3.0)
1.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
6.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

series845.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0))))
35.0ms
(/ (acos (/ (- g) h)) 3.0)
326.0ms
(log1p (expm1 (cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))))
208.0ms
(cos (fma (/ 2.0 3.0) PI (/ (acos (/ (- g) h)) 3.0)))

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: 3 (445.0ms)

IterNodesCost
01151134
11811072
2397966
31379964
done5001964

prune679.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (acos (/ (- g) h)) (cbrt 3.0))
0.0b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))
0.0b
(fma (/ 2.0 3.0) PI (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0))))
1.0b
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
51×add-exp-log times-frac
37×*-un-lft-identity
34×add-cube-cbrt
24×cbrt-prod
22×associate-*r*
20×prod-exp
19×add-cbrt-cube
16×div-exp
9×unswap-sqr
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×pow1 associate-/r*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×div-sub fma-udef
1×acos-neg acos-asin frac-times cos-sum frac-2neg associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 135
Calls
4 calls:
16.0ms
(/ (acos (/ (- g) h)) (cbrt 3.0))
128.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))
1.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0))))
14.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (acos (/ (- g) h)) (cbrt 3.0))
124.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))
184.0ms
(fma (/ 2.0 3.0) PI (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0))))
301.0ms
(cos (fma (/ 2.0 3.0) PI (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)))))

simplify2.8s

Counts
147 → 147
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02162947
15622817
232062378
done50012338

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.0b

localize80.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 2.0 3.0) PI)
1.0b
(* (/ 2.0 3.0) PI)
1.0b
(sin (* (/ 2.0 3.0) PI))
1.6b
(cos (* (/ 2.0 3.0) PI))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
8×pow1
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
33.0ms
(* (/ 2.0 3.0) PI)
31.0ms
(* (/ 2.0 3.0) PI)
27.0ms
(sin (* (/ 2.0 3.0) PI))
15.0ms
(cos (* (/ 2.0 3.0) PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(* (/ 2.0 3.0) PI)
0.0ms
(* (/ 2.0 3.0) PI)
0.0ms
(sin (* (/ 2.0 3.0) PI))
0.0ms
(cos (* (/ 2.0 3.0) PI))

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0102872
1204862
2820742
done5000718

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes446.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02551
13351
done3351

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.9s8106×body80nan
1.4s8000×body80valid