Details

Time bar (total: 24.3s)

sample39.0ms

Algorithm
intervals
Results
26.0ms456×body80valid

simplify6.4s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite91.0ms

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 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 → 77
Calls
4 calls:
12.0ms
(+ (* x.re x.im) (* x.im x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms
(+ (* (- (* 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.re) (* x.im x.im)) x.im)

series238.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
111.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
75.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.0s

Counts
89 → 89
Iterations
IterNodes
done5001
21660
1426
0143

prune482.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative sum-log fma-def *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 95
Calls
4 calls:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
17.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
32.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
52.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series240.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
100.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
91.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify2.2s

Counts
107 → 107
Iterations
IterNodes
done5000
23947
1750
0205

prune563.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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/ 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 → 70
Calls
4 calls:
16.0ms
(* (- x.re x.im) x.im)
6.0ms
(+ (* x.re x.im) (* x.im x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series206.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- x.re x.im) x.im)
26.0ms
(+ (* x.re x.im) (* x.im x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
120.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify3.5s

Counts
82 → 82
Iterations
IterNodes
done5000
33819
2933
1281
0114

prune380.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x.im) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.2s

Counts
4 → 12
Calls
4 calls:
349.0ms
(* (cbrt x.im) (cbrt x.im))
290.0ms
(cbrt x.im)
310.0ms
(cbrt x.im)
276.0ms
(cbrt x.im)

simplify3.6s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune555.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes211.0ms

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

sample2.0s

Algorithm
intervals
Results
1.6s14360×body80valid