Details

Time bar (total: 22.3s)

sample33.0ms

Algorithm
intervals
Results
17.0ms457×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (321.0ms)

IterNodesCost
01119
12119
25217
314017
434614
593011
6215011
done500011

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
0.2b
(* (* x.im x.re) x.im)
0.2b
(* 3 (* (* x.im x.re) x.im))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
66.0ms
(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
37.0ms
(* (* x.im x.re) x.im)
71.0ms
(* 3 (* (* x.im x.re) x.im))

series131.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (pow x.re 3) (* 3 (* (* x.im x.re) x.im)))
33.0ms
(* (* x.im x.re) x.im)
43.0ms
(* 3 (* (* x.im x.re) x.im))

simplify4.1s

Counts
60 → 60
Iterations

Useful iterations: done (4.1s)

IterNodesCost
083672
1221610
2839530
33875530
done5000528

prune191.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.1b
(* (* 3 (* x.im x.re)) x.im)
0.2b
(* 3 (* x.im x.re))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
87.0ms
(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
52.0ms
(* (* 3 (* x.im x.re)) x.im)
27.0ms
(* 3 (* x.im x.re))

series176.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
44.0ms
(* (* 3 (* x.im x.re)) x.im)
36.0ms
(* 3 (* x.im x.re))

simplify5.7s

Counts
60 → 60
Iterations

Useful iterations: 3 (2.9s)

IterNodesCost
083672
1222604
2915532
34775528
done5001528

prune155.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
0.1b
(* (* (* x.im 3) x.re) x.im)
0.2b
(* (* x.im 3) x.re)

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*l* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
75.0ms
(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
108.0ms
(* (* (* x.im 3) x.re) x.im)
18.0ms
(* (* x.im 3) x.re)

series168.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(- (pow x.re 3) (* (* (* x.im 3) x.re) x.im))
39.0ms
(* (* (* x.im 3) x.re) x.im)
35.0ms
(* (* x.im 3) x.re)

simplify2.5s

Counts
60 → 60
Iterations

Useful iterations: done (2.5s)

IterNodesCost
087673
1231607
21056531
done5001527

prune164.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.im))
0.1b
(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.im)
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
0.2b
(* (cbrt 3) (* x.im x.re))

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
37×add-cbrt-cube
8×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*r*
3×cbrt-prod *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
4 → 94
Calls
4 calls:
293.0ms
(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.im))
296.0ms
(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.im)
97.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
19.0ms
(* (cbrt 3) (* x.im x.re))

series380.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(- (pow x.re 3) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.im))
91.0ms
(* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) x.im)
102.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
62.0ms
(* (cbrt 3) (* x.im x.re))

simplify2.0s

Counts
106 → 106
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01221767
13351651
215201101
done5000852

prune182.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample1.3s

Algorithm
intervals
Results
772.0ms14372×body80valid