Details

Time bar (total: 17.1s)

sample67.0ms

Algorithm
intervals
Results
42.0ms437×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
51115
4335
3127
251
120
011

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

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.re)
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.2b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite83.0ms

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-add
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 67
Calls
4 calls:
6.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
20.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
33.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series250.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x.re x.im) (* x.im x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
97.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
93.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.1s

Counts
79 → 79
Iterations
IterNodes
done5001
22809
1418
0135

prune469.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative sum-log *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 85
Calls
4 calls:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
35.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
52.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series259.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x.re x.im) (* x.im x.re))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
104.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
81.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done5000
1716
0197

prune692.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
16.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite196.0ms

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* 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:
78.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
44.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
29.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
32.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series824.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
243.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
213.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
196.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.6s

Counts
174 → 174
Iterations
IterNodes
done5002
21852
1491
0270

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x.re x.im))
10.8b
(cbrt (* (- x.re x.im) x.im))
16.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
16.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-div
18×associate-*l/
8×frac-times
7×cbrt-prod *-un-lft-identity flip3-+ flip3-- flip-+ flip--
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 associate-*r/ add-exp-log add-log-exp
1×distribute-lft-out
Counts
4 → 59
Calls
4 calls:
6.0ms
(cbrt (+ x.re x.im))
11.0ms
(cbrt (* (- x.re x.im) x.im))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
31.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series857.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt (+ x.re x.im))
284.0ms
(cbrt (* (- x.re x.im) x.im))
199.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
185.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.5s

Counts
71 → 71
Iterations
IterNodes
done5000
21483
1367
0156

prune692.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes242.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done31
331
229
126
018

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s14354×body80valid