Details

Time bar (total: 9.5s)

sample25.0ms

Algorithm
intervals
Results
15.0ms449×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (37.0ms)

IterNodesCost
01119
12317
25416
311816
428211
564811
6163111
7456011
done500011

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x.re x.im) x.re)
0.2b
(* 3 (* (* x.re x.im) x.re))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
6.0ms
(* (* x.re x.im) x.re)
16.0ms
(* 3 (* (* x.re x.im) x.re))

series39.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (* x.re x.im) x.re)
23.0ms
(* 3 (* (* x.re x.im) x.re))

simplify4.1s

Counts
49 → 49
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
065434
1173409
2727337
34116337
done5001337

prune91.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x.im (* 3 x.re)) x.re)
0.2b
(* x.im (* 3 x.re))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
20.0ms
(* (* x.im (* 3 x.re)) x.re)
6.0ms
(* x.im (* 3 x.re))

series51.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (* x.im (* 3 x.re)) x.re)
19.0ms
(* x.im (* 3 x.re))

simplify418.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
067434
1174409
2808337
done5000337

prune282.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (* 3 x.im) x.re) x.re)
0.2b
(* (* 3 x.im) x.re)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
20.0ms
(* (* (* 3 x.im) x.re) x.re)
6.0ms
(* (* 3 x.im) x.re)

series51.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (* (* 3 x.im) x.re) x.re)
19.0ms
(* (* 3 x.im) x.re)

simplify530.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
064435
1172408
2893336
done5001336

prune95.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 1 (* (* x.im x.re) 3)) x.re)
0.2b
(* (* x.im x.re) 3)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
22×prod-exp
21×pow1 add-cbrt-cube
13×pow-prod-down cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×1-exp
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 49
Calls
2 calls:
60.0ms
(* (* 1 (* (* x.im x.re) 3)) x.re)
6.0ms
(* (* x.im x.re) 3)

series53.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (* 1 (* (* x.im x.re) 3)) x.re)
19.0ms
(* (* x.im x.re) 3)

simplify742.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
090587
1262468
21080388
done5001388

prune90.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b 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
0811
11111
done1111

end0.0ms

sample721.0ms

Algorithm
intervals
Results
498.0ms14419×body80valid