Details

Time bar (total: 13.3s)

sample26.0ms

Algorithm
intervals
Results
16.0ms449×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (31.0ms)

IterNodesCost
01119
12217
25116
310916
427311
563411
6159011
7447911
done500011

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* 3 (* x.im (* x.re x.re)))
8.6b
(* x.im (* x.re 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
6×associate-*l*
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 44
Calls
2 calls:
16.0ms
(* 3 (* x.im (* x.re x.re)))
6.0ms
(* x.im (* x.re x.re))

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* 3 (* x.im (* x.re x.re)))
33.0ms
(* x.im (* x.re x.re))

simplify1.0s

Counts
50 → 50
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
062437
1153420
2506342
31961342
done5000342

prune83.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x.im x.re) x.re)
0.2b
(* 3 (* (* x.im x.re) 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:
6.0ms
(* (* x.im x.re) x.re)
19.0ms
(* 3 (* (* x.im x.re) x.re))

series62.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* x.im x.re) x.re)
33.0ms
(* 3 (* (* x.im x.re) x.re))

simplify2.4s

Counts
49 → 49
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
064434
1171409
2708337
33737337
done5001337

prune81.0ms

Pruning

7 alts after pruning (5 fresh and 2 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))

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:
19.0ms
(* (* 3 (* x.im x.re)) x.re)
6.0ms
(* 3 (* x.im x.re))

series52.0ms

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

simplify3.1s

Counts
49 → 49
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
065434
1170409
2708337
34169337
done5001337

prune85.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:
23.0ms
(* (* (* 3 x.im) x.re) x.re)
6.0ms
(* (* 3 x.im) x.re)

series52.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (* (* 3 x.im) x.re) x.re)
19.0ms
(* (* 3 x.im) x.re)

simplify3.1s

Counts
49 → 49
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
064435
1170408
2807336
34488336
done5000336

prune82.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes58.0ms

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

sample730.0ms

Algorithm
intervals
Results
515.0ms14419×body80valid