Details

Time bar (total: 15.9s)

sample70.0ms

Algorithm
intervals
Results
55.0ms459×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2049
72049
61781
5723
4268
3110
250
123
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize49.0ms

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)
8.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite97.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
36.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
24.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series251.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.im x.re))
96.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
78.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done2007
32007
21801
1430
0147

prune846.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

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:
17.0ms
(* (- x.re x.im) x.im)
61.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
44.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
72.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series287.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- x.re x.im) x.im)
93.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
98.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.1s

Counts
121 → 121
Iterations
IterNodes
done2005
22005
1786
0222

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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))

rewrite95.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
31.0ms
(* (- x.re x.im) x.im)
46.0ms
(* (+ (* 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))

series254.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
51.0ms
(* (- x.re x.im) x.im)
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
133.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.3s

Counts
86 → 86
Iterations
IterNodes
done2024
32024
2933
1285
0118

prune861.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

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))))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite69.0ms

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×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 99
Calls
4 calls:
37.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
15.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series577.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
127.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
122.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
157.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify893.0ms

Counts
111 → 111
Iterations
IterNodes
done2003
32003
2767
1313
0125

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.3s14317×body80valid