Details

Time bar (total: 13.5s)

sample45.0ms

Algorithm
intervals
Results
28.0ms442×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (324.0ms)

IterNodesCost
01119
12019
25117
312717
432913
5108811
6491611
done500111

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite123.0ms

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:
62.0ms
(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
59.0ms
(* (* 3 x.re) (* x.im x.re))

series151.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
27.0ms
(* (* 3 x.re) (* x.im x.re))

simplify903.0ms

Counts
40 → 40
Iterations

Useful iterations: done (901.0ms)

IterNodesCost
068529
1188478
21028420
done5000410

prune141.0ms

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

rewrite185.0ms

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:
59.0ms
(- (* 3 (* x.re (* x.im x.re))) (pow x.im 3))
33.0ms
(* x.re (* x.im x.re))
90.0ms
(* 3 (* x.re (* x.im x.re)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(- (* 3 (* x.re (* x.im x.re))) (pow x.im 3))
21.0ms
(* x.re (* x.im x.re))
38.0ms
(* 3 (* x.re (* x.im x.re)))

simplify889.0ms

Counts
60 → 60
Iterations

Useful iterations: done (886.0ms)

IterNodesCost
080659
1206607
2968529
done5000523

prune149.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

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)

rewrite169.0ms

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:
77.0ms
(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
68.0ms
(* (* (* 3 x.re) x.im) x.re)
22.0ms
(* (* 3 x.re) x.im)

series158.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
26.0ms
(* (* (* 3 x.re) x.im) x.re)
29.0ms
(* (* 3 x.re) x.im)

simplify2.2s

Counts
60 → 60
Iterations

Useful iterations: done (2.2s)

IterNodesCost
086665
1239609
21908537
done5000531

prune162.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite416.0ms

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:
152.0ms
(- (* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re)))) (pow x.im 3))
36.0ms
(* x.re (* x.im x.re))
180.0ms
(* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re))))
46.0ms
(* (sqrt 3) (* x.re (* x.im x.re)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(- (* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re)))) (pow x.im 3))
23.0ms
(* x.re (* x.im x.re))
106.0ms
(* (sqrt 3) (* (sqrt 3) (* x.re (* x.im x.re))))
66.0ms
(* (sqrt 3) (* x.re (* x.im x.re)))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01051265
1294995
21606861
done5001819

prune235.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes71.0ms

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

sample1.9s

Algorithm
intervals
Results
1.4s14355×body80valid