Details

Time bar (total: 15.3s)

sample44.0ms

Algorithm
intervals
Results
28.0ms457×body80valid

simplify2.0s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x.re (* 3 x.re)) (* x.im x.im))
0.1b
(* x.re (* 3 x.re))
8.3b
(* x.im (- (* x.re (* 3 x.re)) (* x.im x.im)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip--
1×diff-log unswap-sqr
Counts
3 → 54
Calls
3 calls:
20.0ms
(- (* x.re (* 3 x.re)) (* x.im x.im))
12.0ms
(* x.re (* 3 x.re))
88.0ms
(* x.im (- (* x.re (* 3 x.re)) (* x.im x.im)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x.re (* 3 x.re)) (* x.im x.im))
28.0ms
(* x.re (* 3 x.re))
71.0ms
(* x.im (- (* x.re (* 3 x.re)) (* x.im x.im)))

simplify1.4s

Counts
63 → 63
Iterations
IterNodes
done5001
21426
1256
089

prune294.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
8.3b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite69.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
16.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) 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)

series286.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
110.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
45.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
90.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.0s

Counts
79 → 79
Iterations
IterNodes
done5000
22761
1419
0135

prune400.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×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×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
30.0ms
(* (- x.re x.im) x.im)
32.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series275.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (- x.re x.im) x.im)
101.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
76.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done5001
1746
0210

prune565.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
14.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
14.6b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

rewrite200.0ms

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:
93.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
35.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
24.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
35.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

series851.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im))))
231.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
176.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))
201.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.im)))

simplify1.6s

Counts
174 → 174
Iterations
IterNodes
done5002
21852
1491
0270

prune1.4s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0b

regimes235.0ms

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
done21
321
219
117
011

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s14391×body80valid