Details

Time bar (total: 51.5s)

sample80.0ms

Algorithm
intervals
Results
42.0ms471×body80valid

simplify6.7s

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

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize89.0ms

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)
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite165.0ms

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:
10.0ms
(- (* x.re x.re) (* x.im x.im))
28.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
68.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series329.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* x.re x.re) (* x.im x.im))
127.0ms
(+ (* (- (* x.re x.re) (* x.im 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)
109.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify3.7s

Counts
85 → 85
Iterations
IterNodes
done5000
21644
1417
0142

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

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))

rewrite268.0ms

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:
31.0ms
(* (- x.re x.im) x.im)
72.0ms
(+ (* (+ x.re x.im) (* (- x.re 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)
113.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series416.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.im)
159.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
61.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
133.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify7.2s

Counts
112 → 112
Iterations
IterNodes
done5011
23938
1746
0214

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize118.0ms

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))))
13.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.9b
(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:
73.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
10.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series1.1s

Counts
4 → 12
Calls
4 calls:
326.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
220.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
239.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
285.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify4.3s

Counts
103 → 103
Iterations
IterNodes
done5000
32059
2802
1300
0121

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize142.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
15.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
15.5b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
2200×frac-times
2120×associate-*l/
1968×cbrt-div
738×flip3-+ flip3-- flip-+ flip--
572×associate-*r/
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:
500.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
55.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
57.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
62.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series1.2s

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
338.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
352.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
349.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify7.7s

Counts
827 → 827
Iterations
IterNodes
done5002
24307
13011
01505

prune10.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done21
121
014

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s14555×body80valid