Details

Time bar (total: 27.9s)

sample48.0ms

Algorithm
intervals
Results
34.0ms470×body80valid

simplify3.4s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize31.0ms

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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.2b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite96.0ms

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-sub flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 72
Calls
4 calls:
10.0ms
(+ (* x.re x.im) (* x.im x.re))
30.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
30.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series173.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* x.re x.im) (* x.im x.re))
55.0ms
(- (* (- (* x.re x.re) (* x.im 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)
62.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.8s

Counts
84 → 84
Iterations
IterNodes
done5001
21654
1405
0140

prune416.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
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
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
17.0ms
(+ (* x.re x.im) (* x.im x.re))
106.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
69.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series248.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
72.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
104.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify4.1s

Counts
102 → 102
Iterations
IterNodes
done5000
24193
1725
0202

prune484.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

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)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite708.0ms

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:
345.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
41.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
35.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
38.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series651.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
182.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
175.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
201.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify3.9s

Counts
827 → 827
Iterations
IterNodes
done5001
24214
12978
01495

prune6.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(* (+ x.re x.im) (* (- x.re x.im) x.re))
0.3b
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) 3)
15.7b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
16×cbrt-div
12×add-sqr-sqrt frac-times pow1 *-un-lft-identity add-exp-log
11×add-cbrt-cube
10×flip3-+ add-cube-cbrt flip-+
9×flip3-- flip--
8×cube-div
7×associate-*l*
6×associate-*r/
4×unpow-prod-down cube-prod associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cbrt-prod pow-unpow
2×pow-pow pow1/3 *-commutative
1×cube-mult pow-to-exp unpow3 pow-exp distribute-lft-out rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 102
Calls
4 calls:
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
79.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
26.0ms
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) 3)
61.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series558.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
73.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
253.0ms
(pow (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) 3)
183.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify1.6s

Counts
114 → 114
Iterations
IterNodes
done5002
22420
1666
0186

prune591.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.8s14339×body80valid