Details

Time bar (total: 20.5s)

sample46.0ms

Algorithm
intervals
Results
26.0ms464×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
61970
5833
4340
3156
258
121
011

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize38.0ms

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.im)
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.9b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite104.0ms

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-+ 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 → 68
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
17.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
39.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
38.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series225.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x.re x.im) (* x.im x.re))
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
71.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
65.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.7s

Counts
80 → 80
Iterations
IterNodes
done5011
21719
1400
0136

prune455.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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

rewrite172.0ms

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:
17.0ms
(* (- x.re x.im) x.re)
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
60.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
63.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series238.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- x.re x.im) x.re)
46.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
77.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
70.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify3.7s

Counts
109 → 109
Iterations
IterNodes
done5000
24226
1749
0211

prune684.0ms

Pruning

13 alts after pruning (12 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.re)) (cbrt (* (- x.re x.im) x.re)))
13.7b
(cbrt (* (- x.re x.im) x.re))
13.7b
(cbrt (* (- x.re x.im) x.re))
13.7b
(cbrt (* (- x.re x.im) x.re))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
22.0ms
(* (cbrt (* (- x.re x.im) x.re)) (cbrt (* (- x.re x.im) x.re)))
6.0ms
(cbrt (* (- x.re x.im) x.re))
6.0ms
(cbrt (* (- x.re x.im) x.re))
6.0ms
(cbrt (* (- x.re x.im) x.re))

series1.4s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (cbrt (* (- x.re x.im) x.re)) (cbrt (* (- x.re x.im) x.re)))
340.0ms
(cbrt (* (- x.re x.im) x.re))
353.0ms
(cbrt (* (- x.re x.im) x.re))
386.0ms
(cbrt (* (- x.re x.im) x.re))

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
done5002
31564
2589
1233
0102

prune620.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
13.7b
(cbrt (* (- x.re x.im) x.re))
13.7b
(cbrt (* (- x.re x.im) x.re))
18.2b
(cbrt (* (* (- x.re x.im) x.re) (+ x.im x.re)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-div
12×associate-*l/
7×cbrt-prod *-un-lft-identity
5×add-sqr-sqrt flip3-- add-cube-cbrt flip--
4×frac-times pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ add-log-exp
2×associate-*r/
1×distribute-lft-out
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (+ x.re x.im))
6.0ms
(cbrt (* (- x.re x.im) x.re))
7.0ms
(cbrt (* (- x.re x.im) x.re))
49.0ms
(cbrt (* (* (- x.re x.im) x.re) (+ x.im x.re)))

series1.1s

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (+ x.re x.im))
356.0ms
(cbrt (* (- x.re x.im) x.re))
360.0ms
(cbrt (* (- x.re x.im) x.re))
170.0ms
(cbrt (* (* (- x.re x.im) x.re) (+ x.im x.re)))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5000
21141
1343
0142

prune644.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s14370×body80valid