Details

Time bar (total: 34.3s)

sample91.0ms

Algorithm
intervals
Results
75.0ms474×body80valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
74371
61764
5723
4268
3110
250
123
011

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x.re (* x.re 3)) (* x.im x.im))
0.2b
(* x.re (* x.re 3))
7.2b
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ *-commutative flip--
1×sub-neg fma-neg diff-log prod-diff unswap-sqr
Counts
3 → 61
Calls
3 calls:
18.0ms
(- (* x.re (* x.re 3)) (* x.im x.im))
15.0ms
(* x.re (* x.re 3))
90.0ms
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

series180.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (* x.re (* x.re 3)) (* x.im x.im))
35.0ms
(* x.re (* x.re 3))
79.0ms
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

simplify2.2s

Counts
70 → 70
Iterations
IterNodes
33520
2768
1237
097

prune521.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* x.re 3) (- (* x.im x.im)))
7.2b
(* (fma x.re (* x.re 3) (- (* x.im x.im))) x.im)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma x.re (* x.re 3) (- (* x.im x.im)))
6.0ms
(* (fma x.re (* x.re 3) (- (* x.im x.im))) x.im)

series183.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(fma x.re (* x.re 3) (- (* x.im x.im)))
118.0ms
(* (fma x.re (* x.re 3) (- (* x.im x.im))) x.im)

simplify1.1s

Counts
38 → 38
Iterations
IterNodes
42612
3636
2247
1105
052

prune319.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.1b

localize33.0ms

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.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))
7.2b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite92.0ms

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:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
37.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series248.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
100.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
98.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify17.5s

Counts
93 → 93
Iterations
IterNodes
38178
21845
1428
0147

prune843.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

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:
33.0ms
(* (- x.re x.im) x.im)
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
57.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series309.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.im)
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
107.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
102.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
24346
1784
0222

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14422×body80valid