Details

Time bar (total: 29.5s)

sample96.0ms

Algorithm
intervals
Results
78.0ms481×body80valid

simplify2.1s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize28.0ms

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))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.9b
(* (- (* 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:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
31.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
36.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series209.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
75.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
70.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify11.5s

Counts
95 → 95
Iterations
IterNodes
38327
21913
1434
0153

prune962.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

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

rewrite509.0ms

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))
408.0ms
(- (* (+ 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)
73.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series225.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* x.re x.im) (* x.im x.re))
85.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
50.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
67.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
24502
1772
0215

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×associate-*r*
5×pow1 add-cbrt-cube add-exp-log add-log-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in insert-posit16 log1p-expm1-u
2×flip3-+ distribute-rgt-out count-2 associate-*r/ flip-+ distribute-lft-out
1×distribute-lft-neg-out distribute-rgt-in +-commutative neg-mul-1 sum-log fma-def distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 65
Calls
3 calls:
11.0ms
(+ (* x.re x.im) (* x.re x.im))
30.0ms
(* (- 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))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x.re x.im) (* x.re x.im))
30.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
121.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

simplify3.5s

Counts
74 → 74
Iterations
IterNodes
35729
21114
1268
092

prune773.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

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)

rewrite14.0ms

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:
9.0ms
(* (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:
326.0ms
(* (cbrt x.im) (cbrt x.im))
303.0ms
(cbrt x.im)
303.0ms
(cbrt x.im)
294.0ms
(cbrt x.im)

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
43178
3858
2330
1135
067

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
528
428
323
220
116
010

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14415×body80valid