Details

Time bar (total: 53.1s)

sample46.0ms

Algorithm
intervals
Results
27.0ms455×body80valid

simplify10.6s

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize159.0ms

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)
7.0b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite263.0ms

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×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
81.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
82.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
70.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series344.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* 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))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
137.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify5.0s

Counts
93 → 93
Iterations
IterNodes
done5001
21785
1430
0147

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize142.0ms

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

rewrite510.0ms

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:
76.0ms
(* (- x.re x.im) x.im)
152.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
103.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
158.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series397.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.im)
162.0ms
(+ (* (+ x.re x.im) (* (- x.re 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)
140.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify7.5s

Counts
121 → 121
Iterations
IterNodes
done5000
23943
1786
0222

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize158.0ms

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)
0.2b
(* (+ (* 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))

rewrite182.0ms

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:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
65.0ms
(* (- x.re x.im) x.im)
68.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series326.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* x.re x.im) (* x.im x.re))
52.0ms
(* (- x.re x.im) x.im)
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
191.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify9.9s

Counts
86 → 86
Iterations
IterNodes
done5000
34044
2960
1285
0118

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize186.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x.re (+ x.im x.im)) (cbrt x.re))
0.5b
(cbrt x.re)
0.5b
(cbrt x.re)
0.5b
(cbrt x.re)

rewrite142.0ms

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:
128.0ms
(* (* x.re (+ x.im x.im)) (cbrt x.re))
3.0ms
(cbrt x.re)
3.0ms
(cbrt x.re)
3.0ms
(cbrt x.re)

series1.2s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (* x.re (+ x.im x.im)) (cbrt x.re))
322.0ms
(cbrt x.re)
375.0ms
(cbrt x.re)
267.0ms
(cbrt x.re)

simplify7.9s

Counts
80 → 80
Iterations
IterNodes
done5000
33772
2822
1218
082

prune982.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes567.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s14502×body80valid