Details

Time bar (total: 21.9s)

sample66.0ms

Algorithm
intervals
Results
50.0ms465×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
73015
61214
5597
4245
3121
251
120
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
5.6b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*l*
6×associate-*r*
4×flip3-+ flip3-- frac-add flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 73
Calls
4 calls:
13.0ms
(- (* x.re x.re) (* x.im x.im))
31.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
44.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series301.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* x.re x.re) (* x.im x.im))
122.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
102.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.6s

Counts
85 → 85
Iterations
IterNodes
done5000
21674
1418
0142

prune444.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
28.0ms
(* (- x.re x.im) x.im)
34.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
70.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series262.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (- x.re x.im) x.im)
106.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
81.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.9s

Counts
112 → 112
Iterations
IterNodes
done5008
24070
1746
0214

prune492.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1
23×add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×pow-plus pow-prod-up add-log-exp
4×insert-posit16
3×associate-*l* *-commutative
2×pow2 pow-sqr
1×sub-neg flip3-- diff-log pow3 flip-- unswap-sqr
Counts
4 → 83
Calls
4 calls:
61.0ms
(- (* (* (* 3 x.im) x.re) x.re) (* (* x.im x.im) x.im))
20.0ms
(* (* x.im x.im) x.im)
73.0ms
(* (* (* 3 x.im) x.re) x.re)
14.0ms
(* (* 3 x.im) x.re)

series215.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* (* (* 3 x.im) x.re) x.re) (* (* x.im x.im) x.im))
66.0ms
(* (* x.im x.im) x.im)
35.0ms
(* (* (* 3 x.im) x.re) x.re)
37.0ms
(* (* 3 x.im) x.re)

simplify3.3s

Counts
95 → 95
Iterations
IterNodes
done5000
34193
2992
1308
0110

prune337.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×insert-posit16
2×associate-*l* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 54
Calls
3 calls:
56.0ms
(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
73.0ms
(* (* (* 3 x.im) x.re) x.re)
26.0ms
(* (* 3 x.im) x.re)

series131.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
38.0ms
(* (* (* 3 x.im) x.re) x.re)
30.0ms
(* (* 3 x.im) x.re)

simplify3.4s

Counts
63 → 63
Iterations
IterNodes
done5002
34177
2842
1223
085

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.6s14373×body80valid