Details

Time bar (total: 14.2s)

sample45.0ms

Algorithm
intervals
Results
26.0ms446×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 5 (436.0ms)

IterNodesCost
01119
12019
25117
312717
432913
5108811
6491611
done500111

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 34
Calls
2 calls:
54.0ms
(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
36.0ms
(* (* 3 x.re) (* x.im x.re))

series130.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
39.0ms
(* (* 3 x.re) (* x.im x.re))

simplify966.0ms

Counts
40 → 40
Iterations

Useful iterations: done (964.0ms)

IterNodesCost
068529
1188478
21028420
done5000410

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite233.0ms

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:
106.0ms
(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
90.0ms
(* (* (* 3 x.re) x.im) x.re)
35.0ms
(* (* 3 x.re) x.im)

series163.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
39.0ms
(* (* (* 3 x.re) x.im) x.re)
36.0ms
(* (* 3 x.re) x.im)

simplify1.8s

Counts
60 → 60
Iterations

Useful iterations: done (1.8s)

IterNodesCost
086665
1239609
21908537
done5000531

prune208.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
74.0ms
(- (* 3 (* x.re (* x.im x.re))) (pow x.im 3))
36.0ms
(* x.re (* x.im x.re))
81.0ms
(* 3 (* x.re (* x.im x.re)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(- (* 3 (* x.re (* x.im x.re))) (pow x.im 3))
37.0ms
(* x.re (* x.im x.re))
40.0ms
(* 3 (* x.re (* x.im x.re)))

simplify805.0ms

Counts
60 → 60
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
080659
1206607
2968529
done5000523

prune230.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite489.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
15×associate-*l*
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod add-log-exp
3×associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
4 → 81
Calls
4 calls:
192.0ms
(- (* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re)))) (pow x.im 3))
36.0ms
(* x.re (* x.im x.re))
189.0ms
(* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re))))
66.0ms
(* (sqrt 3) (* x.re (* x.im x.re)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(- (* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re)))) (pow x.im 3))
33.0ms
(* x.re (* x.im x.re))
121.0ms
(* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re))))
78.0ms
(* (sqrt 3) (* x.re (* x.im x.re)))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01051265
1294995
21606861
done5001819

prune381.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s14406×body80valid