Details

Time bar (total: 32.0s)

sample96.0ms

Algorithm
intervals
Results
81.0ms457×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
62754
51086
4382
3146
255
124
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize36.0ms

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))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.1b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite111.0ms

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-sub flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff difference-of-squares
Counts
4 → 83
Calls
4 calls:
9.0ms
(+ (* x.re x.im) (* x.im x.re))
38.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
27.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series230.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x.re x.im) (* x.im x.re))
83.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify12.9s

Counts
95 → 95
Iterations
IterNodes
38327
21913
1434
0153

prune897.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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

rewrite153.0ms

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×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff distribute-lft-out unswap-sqr
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
65.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
59.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series212.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* x.re x.im) (* x.im x.re))
77.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
73.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts
113 → 113
Iterations
IterNodes
24502
1772
0215

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt
9×associate-*r*
8×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-+ distribute-rgt-out count-2 pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×distribute-lft-neg-out distribute-rgt-in +-commutative neg-mul-1 sum-log fma-def distribute-lft-in flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.re x.im))
38.0ms
(* (- x.re x.im) x.re)
41.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.re x.im))
68.0ms
(* (- x.re x.im) x.re)
30.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
112.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

simplify4.6s

Counts
102 → 102
Iterations
IterNodes
36733
21391
1348
0131

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite10.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
7.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.6s

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (cbrt x.im) (cbrt x.im))
271.0ms
(cbrt x.im)
328.0ms
(cbrt x.im)
647.0ms
(cbrt x.im)

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
43178
3858
2330
1135
067

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
528
428
323
220
116
010

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.1s14478×body80valid