Details

Time bar (total: 25.0s)

sample62.0ms

Algorithm
intervals
Results
39.0ms433×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
61970
5833
4340
3156
258
121
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite69.0ms

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*
5×flip3-- flip--
4×frac-sub
3×flip3-+ flip-+
2×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 70
Calls
4 calls:
6.0ms
(- (* x.re x.re) (* x.im x.im))
24.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
17.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
20.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series249.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* x.re x.re) (* x.im x.im))
71.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
55.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
79.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.2s

Counts
82 → 82
Iterations
IterNodes
done5012
21808
1410
0139

prune429.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 97
Calls
4 calls:
34.0ms
(* (- x.re x.im) x.re)
79.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
57.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series273.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (- x.re x.im) x.re)
74.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
58.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
94.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify4.1s

Counts
109 → 109
Iterations
IterNodes
done5000
24231
1749
0211

prune612.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
15.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
119.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
44.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
43.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
27.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series752.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
196.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
172.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
210.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify3.3s

Counts
174 → 174
Iterations
IterNodes
done5000
34719
21201
1434
0251

prune1.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x.im (+ x.re x.re)) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
7×add-cbrt-cube
6×associate-*r*
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ associate-*r/
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 56
Calls
4 calls:
49.0ms
(* (* x.im (+ x.re x.re)) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.1s

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (* x.im (+ x.re x.re)) (cbrt x.im))
332.0ms
(cbrt x.im)
308.0ms
(cbrt x.im)
248.0ms
(cbrt x.im)

simplify3.0s

Counts
68 → 68
Iterations
IterNodes
done5002
33801
2811
1211
076

prune441.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s14490×body80valid