Details

Time bar (total: 8.9s)

sample30.0ms

Algorithm
intervals
Results
19.0ms468×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 6 (411.0ms)

IterNodesCost
01119
12318
25617
313817
436914
590011
6255410
done500010

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
0.3b
(* -3 (* x.re x.im))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
6.0ms
(* -3 (* x.re x.im))

series103.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
22.0ms
(* -3 (* x.re x.im))

simplify1.0s

Counts
36 → 36
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
057338
1129327
2424288
31695288
done5000288

prune76.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
0.2b
(* (* -3 x.re) x.im)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
6.0ms
(* (* -3 x.re) x.im)

series95.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
17.0ms
(* (* -3 x.re) x.im)

simplify1.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
060341
1135328
2543283
32817283
done5001283

prune89.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im))) (pow x.re 3))
0.2b
(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im)))
0.3b
(* (cbrt -3) (* x.re x.im))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative
1×fma-udef
Counts
3 → 63
Calls
3 calls:
0.0ms
(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im))) (pow x.re 3))
25.0ms
(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im)))
7.0ms
(* (cbrt -3) (* x.re x.im))

series256.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(fma x.im (* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im))) (pow x.re 3))
69.0ms
(* (* (cbrt -3) (cbrt -3)) (* (cbrt -3) (* x.re x.im)))
47.0ms
(* (cbrt -3) (* x.re x.im))

simplify2.2s

Counts
72 → 72
Iterations

Useful iterations: 3 (781.0ms)

IterNodesCost
090975
1232941
2875645
34818517
done5000517

prune148.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x.im (* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re)))) (pow x.re 3))
0.2b
(* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re))))
0.2b
(* x.im (* (cbrt -3) x.re))
0.4b
(* (cbrt -3) x.re)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
49×prod-exp
43×pow1
31×add-cbrt-cube
28×pow-prod-down cbrt-unprod
12×add-sqr-sqrt
10×associate-*l*
8×add-cube-cbrt *-un-lft-identity
6×1-exp
5×associate-*r*
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×unswap-sqr
1×fma-udef
Counts
4 → 96
Calls
4 calls:
0.0ms
(fma x.im (* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re)))) (pow x.re 3))
62.0ms
(* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re))))
7.0ms
(* x.im (* (cbrt -3) x.re))
4.0ms
(* (cbrt -3) x.re)

series303.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(fma x.im (* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re)))) (pow x.re 3))
71.0ms
(* (* (cbrt -3) (cbrt -3)) (* 1 (* x.im (* (cbrt -3) x.re))))
49.0ms
(* x.im (* (cbrt -3) x.re))
43.0ms
(* (cbrt -3) x.re)

simplify661.0ms

Counts
108 → 108
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
01351491
13631288
212191055
done5000886

prune218.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11010
done1010

end0.0ms

sample738.0ms

Algorithm
intervals
Results
521.0ms14504×body80valid