Details

Time bar (total: 26.2s)

sample79.0ms

Algorithm
intervals
Results
64.0ms493×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
75608
61904
5785
4304
3150
258
121
011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

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)
6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite105.0ms

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×flip3-+ flip3-- frac-sub flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 72
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
43.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
34.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series216.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x.re x.im) (* x.im x.re))
85.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify4.7s

Counts
84 → 84
Iterations
IterNodes
39129
21745
1405
0140

prune798.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

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.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))

rewrite138.0ms

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×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
55.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
46.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series218.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* x.re x.im) (* x.im x.re))
86.0ms
(- (* (+ 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)
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
24325
1725
0202

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
13.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.5b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
42.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
115.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
136.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
114.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify2.4s

Counts
103 → 103
Iterations
IterNodes
44676
31697
2737
1298
0121

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
15.8b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.8b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.8b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
135.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
22.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
37.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
43.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
199.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
244.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
187.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.0s

Counts
178 → 178
Iterations
IterNodes
34648
21190
1434
0253

prune2.9s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes196.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
216
116
011

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.4s14552×body80valid