Details

Time bar (total: 17.7s)

sample44.0ms

Algorithm
intervals
Results
27.0ms463×body80valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5001
51689
4447
3160
258
121
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
6.3b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite119.0ms

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×frac-sub
3×flip3-+ flip-+
2×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 70
Calls
4 calls:
7.0ms
(- (* x.re x.re) (* x.im x.im))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
45.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series243.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* x.re x.re) (* x.im x.im))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
77.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
80.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.7s

Counts
82 → 82
Iterations
IterNodes
done5000
23205
1429
0139

prune536.0ms

Pruning

13 alts after pruning (13 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.re)
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(- (* (+ 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.re x.im) x.re))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 97
Calls
4 calls:
36.0ms
(* (- x.re x.im) x.re)
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
90.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
44.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series251.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (- x.re x.im) x.re)
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
71.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
75.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.0s

Counts
109 → 109
Iterations
IterNodes
done5000
1753
0211

prune777.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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))))
11.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
11.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
11.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite62.0ms

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 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 → 87
Calls
4 calls:
43.0ms
(* (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)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series679.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
161.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
132.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
175.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.6s

Counts
99 → 99
Iterations
IterNodes
done5000
21071
1303
0119

prune740.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))
0.6b
(cbrt (- x.re x.im))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 101
Calls
4 calls:
63.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
5.0ms
(cbrt (- x.re x.im))
3.0ms
(cbrt (- x.re x.im))
3.0ms
(cbrt (- x.re x.im))

series862.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
207.0ms
(cbrt (- x.re x.im))
225.0ms
(cbrt (- x.re x.im))
265.0ms
(cbrt (- x.re x.im))

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
done5000
2993
1286
0131

prune792.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes371.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done24
324
222
120
014

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s14400×body80valid