Details

Time bar (total: 47.9s)

sample65.0ms

Algorithm
intervals
Results
35.0ms471×body80valid

simplify10.5s

Counts
1 → 1
Iterations
IterNodes
done5000
74454
61781
5723
4268
3110
250
123
011

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize44.0ms

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)

rewrite168.0ms

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×expm1-log1p-u flip3-+ flip3-- frac-add flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff
Counts
4 → 84
Calls
4 calls:
23.0ms
(- (* x.re x.re) (* x.im x.im))
33.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
52.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
52.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series387.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* x.re x.re) (* x.im x.im))
143.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
56.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
113.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify4.4s

Counts
96 → 96
Iterations
IterNodes
done5013
21763
1439
0153

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

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))

rewrite334.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
61.0ms
(* (- x.re x.im) x.im)
90.0ms
(+ (* (+ x.re x.im) (* (- x.re 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)
129.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series317.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (- x.re x.im) x.im)
111.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
109.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify6.3s

Counts
121 → 121
Iterations
IterNodes
done5000
23943
1786
0222

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
12.0ms
(+ (* x.re x.im) (* x.im x.re))
66.0ms
(* (- x.re x.im) x.im)
59.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
2.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series346.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re x.im) (* x.im x.re))
60.0ms
(* (- x.re x.im) x.im)
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
216.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify8.5s

Counts
86 → 86
Iterations
IterNodes
done5000
34044
2960
1285
0118

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 68
Calls
4 calls:
96.0ms
(* (* x.im (+ x.re x.re)) (cbrt x.re))
3.0ms
(cbrt x.re)
2.0ms
(cbrt x.re)
2.0ms
(cbrt x.re)

series1.1s

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (* x.im (+ x.re x.re)) (cbrt x.re))
269.0ms
(cbrt x.re)
332.0ms
(cbrt x.re)
297.0ms
(cbrt x.re)

simplify7.3s

Counts
80 → 80
Iterations
IterNodes
done5000
34061
2843
1219
082

prune970.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes498.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s14555×body80valid