Details

Time bar (total: 40.3s)

sample71.0ms

Algorithm
intervals
Results
47.0ms501×body80valid

simplify5.9s

Counts
1 → 1
Iterations
IterNodes
done5000
62062
5870
4328
3151
256
121
011

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
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)
6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube 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:
20.0ms
(- (* x.re x.re) (* x.im x.im))
62.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
48.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series299.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* x.re x.re) (* x.im x.im))
84.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
63.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
88.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify3.3s

Counts
82 → 82
Iterations
IterNodes
done5003
21811
1410
0139

prune723.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x.re 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))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
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:
44.0ms
(* (- x.re x.im) x.re)
135.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
101.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
161.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series380.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (- x.re x.im) x.re)
113.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
61.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
139.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify7.0s

Counts
109 → 109
Iterations
IterNodes
done5000
24208
1749
0211

prune851.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite340.0ms

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×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 162
Calls
4 calls:
150.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
53.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
50.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
62.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series904.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
232.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
221.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
223.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify6.8s

Counts
174 → 174
Iterations
IterNodes
done5001
34870
21197
1434
0251

prune2.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize192.0ms

Local error

Found 4 expressions with local error:

11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
11.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-div associate-*l/
16×frac-times
12×flip3-- flip3-+ flip-- flip-+
8×associate-*r/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 68
Calls
4 calls:
63.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
62.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
76.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
61.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series1.4s

Counts
4 → 12
Calls
4 calls:
343.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
321.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
311.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
381.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify4.7s

Counts
80 → 80
Iterations
IterNodes
done5001
33147
2641
1180
075

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes367.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s14572×body80valid