Details

Time bar (total: 9.3s)

sample25.0ms

Algorithm
intervals
Results
15.0ms439×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (35.0ms)

IterNodesCost
01119
12317
25416
311816
428211
564811
6163111
7456011
done500011

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* x.re x.im) x.re)
0.2b
(* 3 (* (* x.re x.im) x.re))

rewrite29.0ms

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)
21.0ms
(* 3 (* (* x.re x.im) x.re))

series36.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (* x.re x.im) x.re)
20.0ms
(* 3 (* (* x.re x.im) x.re))

simplify4.1s

Counts
49 → 49
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
065434
1173409
2727337
34116337
done5001337

prune96.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))

rewrite25.0ms

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:
18.0ms
(* (* x.im (* 3 x.re)) x.re)
6.0ms
(* x.im (* 3 x.re))

series56.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (* x.im (* 3 x.re)) x.re)
20.0ms
(* x.im (* 3 x.re))

simplify418.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
067434
1174409
2808337
done5000337

prune108.0ms

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

rewrite29.0ms

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:
21.0ms
(* (* (* 3 x.im) x.re) x.re)
7.0ms
(* (* 3 x.im) x.re)

series56.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (* (* 3 x.im) x.re) x.re)
20.0ms
(* (* 3 x.im) x.re)

simplify532.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
064435
1172408
2893336
done5001336

prune102.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x.re x.im) x.re)
0.2b
(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))
0.3b
(* (sqrt 3) (* (* x.re x.im) x.re))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
13×associate-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
5×associate-*r*
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 75
Calls
3 calls:
9.0ms
(* (* x.re x.im) x.re)
53.0ms
(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))
19.0ms
(* (sqrt 3) (* (* x.re x.im) x.re))

series149.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* x.re x.im) x.re)
82.0ms
(* (sqrt 3) (* (sqrt 3) (* (* x.re x.im) x.re)))
50.0ms
(* (sqrt 3) (* (* x.re x.im) x.re))

simplify589.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
092985
1251815
21130651
done5001651

prune156.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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
0811
11111
done1111

end0.0ms

sample741.0ms

Algorithm
intervals
Results
507.0ms14263×body80valid