Details

Time bar (total: 27.6s)

sample57.0ms

Algorithm
intervals
Results
46.0ms467×body80valid

simplify1.7s

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: 5.7b

localize27.0ms

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)
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite136.0ms

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-+ 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 → 79
Calls
4 calls:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
50.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
39.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series251.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x.re x.im) (* x.im x.re))
92.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
52.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
66.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify11.0s

Counts
91 → 91
Iterations
IterNodes
37732
21833
1429
0149

prune854.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
24×associate-*l/
19×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times
11×associate-*l*
10×flip3-- flip--
9×distribute-rgt-in distribute-lft-in add-cube-cbrt
8×associate-*r*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u associate--l+ log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×sub-neg fma-neg diff-log prod-diff distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 117
Calls
4 calls:
21.0ms
(* x.re (+ x.re x.im))
43.0ms
(- (* (- x.re x.im) (* x.re (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
31.0ms
(* (- x.re x.im) (* x.re (+ x.re x.im)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* x.re (+ x.re x.im))
84.0ms
(- (* (- x.re x.im) (* x.re (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (- x.re x.im) (* x.re (+ x.re x.im)))

simplify1.4s

Counts
129 → 129
Iterations
IterNodes
24506
1818
0234

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*l*
10×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-cube-cbrt
6×associate-*r/
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u add-log-exp
2×flip3-+ *-commutative flip-+
1×distribute-lft-neg-out neg-mul-1 fma-udef distribute-lft-out unswap-sqr
Counts
3 → 69
Calls
3 calls:
12.0ms
(* x.re (+ x.re x.im))
39.0ms
(* (- x.im) (* x.re (+ x.im x.im)))
0.0ms
(fma (- x.re x.im) (* x.re (+ x.re x.im)) (* (- x.im) (* x.re (+ x.im x.im))))

series184.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* x.re (+ x.re x.im))
38.0ms
(* (- x.im) (* x.re (+ x.im x.im)))
104.0ms
(fma (- x.re x.im) (* x.re (+ x.re x.im)) (* (- x.im) (* x.re (+ x.im x.im))))

simplify3.2s

Counts
78 → 78
Iterations
IterNodes
36022
21223
1320
0116

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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 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:
7.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (cbrt x.im) (cbrt x.im))
313.0ms
(cbrt x.im)
297.0ms
(cbrt x.im)
230.0ms
(cbrt x.im)

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
42840
3820
2320
1134
065

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
219
119
013

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.2s14516×body80valid