Details

Time bar (total: 26.5s)

sample103.0ms

Algorithm
intervals
Results
84.0ms434×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done2060
72060
61214
5597
4245
3121
251
120
011

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(+ (* (- (* 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)
8.6b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite104.0ms

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:
8.0ms
(+ (* 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))
42.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
31.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series265.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.im x.re))
120.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
76.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.9s

Counts
83 → 83
Iterations
IterNodes
done2001
32001
21701
1410
0139

prune453.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/ associate-*r/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity flip3-- flip--
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×distribute-rgt-in associate-+l+ sub-neg distribute-lft-in associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×+-commutative sum-log *-commutative
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
16.0ms
(+ (* x.re x.im) (* x.im x.re))
48.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
64.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))

series221.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x.re x.im) (* x.im x.re))
70.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
84.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done2000
22000
1764
0213

prune555.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

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))))
12.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite65.0ms

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:
37.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
11.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series675.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
157.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
127.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
171.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done2001
32001
2802
1300
0121

prune735.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
14.6b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
14.6b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
14.6b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2048×associate-*r/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
644×associate-*l/
23×pow1
12×pow1/3
9×add-exp-log pow-prod-up
6×add-sqr-sqrt pow-plus
5×*-un-lft-identity add-cbrt-cube pow-prod-down add-cube-cbrt
4×cbrt-prod associate-*r* insert-posit16 add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 815
Calls
4 calls:
166.0ms
(* (* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
39.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
38.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
45.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

series661.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
179.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
187.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
208.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

simplify2.5s

Counts
827 → 827
Iterations
IterNodes
done2000
12000
01495

prune10.3s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s14472×body80valid