Details

Time bar (total: 16.9s)

sample45.0ms

Algorithm
intervals
Results
23.0ms453×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5001
51929
4533
3180
266
124
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize46.0ms

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

rewrite115.0ms

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:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
28.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
41.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series283.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
100.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
60.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
89.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.9s

Counts
91 → 91
Iterations
IterNodes
done5000
22926
1444
0149

prune513.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite179.0ms

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 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 → 97
Calls
4 calls:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
56.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
66.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series240.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* x.re x.im) (* x.im x.re))
91.0ms
(- (* (+ x.re x.im) (* (- x.re 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)
62.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.1s

Counts
109 → 109
Iterations
IterNodes
done5000
1773
0211

prune687.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x.re x.im) x.re)
0.1b
(* (* x.im (+ x.re x.re)) (- x.im))
0.2b
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (* x.im (+ x.re x.re)) (- x.im)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*r*
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×add-cube-cbrt
6×associate-*l*
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u add-log-exp
2×associate-*r/ *-commutative
1×neg-mul-1 flip3-+ flip3-- distribute-rgt-neg-out flip-+ fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
34.0ms
(* (- x.re x.im) x.re)
57.0ms
(* (* x.im (+ x.re x.re)) (- x.im))
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (* x.im (+ x.re x.re)) (- x.im)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* (- x.re x.im) x.re)
28.0ms
(* (* x.im (+ x.re x.re)) (- x.im))
109.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (* x.im (+ x.re x.re)) (- x.im)))

simplify1.6s

Counts
73 → 73
Iterations
IterNodes
done5000
22231
1333
0122

prune447.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

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)

rewrite25.0ms

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:
18.0ms
(* (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:
283.0ms
(* (cbrt x.im) (cbrt x.im))
278.0ms
(cbrt x.im)
317.0ms
(cbrt x.im)
300.0ms
(cbrt x.im)

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune593.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations
IterNodes
done41
541
439
331
224
120
013

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.8s14556×body80valid