Details

Time bar (total: 19.9s)

sample38.0ms

Algorithm
intervals
Results
25.0ms473×body80valid

simplify3.5s

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite102.0ms

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-add insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
10.0ms
(+ (* x.re x.im) (* x.im x.re))
22.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series265.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* x.re x.im) (* x.im x.re))
88.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
115.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.9s

Counts
83 → 83
Iterations
IterNodes
done5005
21701
1410
0139

prune417.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×+-commutative sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 89
Calls
4 calls:
17.0ms
(+ (* x.re x.im) (* x.im x.re))
79.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
47.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
69.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series219.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x.re x.im) (* x.im x.re))
84.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
76.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.4s

Counts
101 → 101
Iterations
IterNodes
done5037
24155
1717
0201

prune477.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
12.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
71.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
9.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
15.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
10.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
122.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
119.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
157.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.9s

Counts
103 → 103
Iterations
IterNodes
done5004
32062
2802
1300
0121

prune554.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
15.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite264.0ms

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* insert-posit16 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 → 166
Calls
4 calls:
111.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
50.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
53.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
33.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
186.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
181.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
203.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.5s

Counts
178 → 178
Iterations
IterNodes
done5000
21362
1491
0272

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
121
014

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s14233×body80valid