Details

Time bar (total: 25.3s)

sample67.0ms

Algorithm
intervals
Results
51.0ms452×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
72992
61223
5597
4245
3121
251
120
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
9.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite113.0ms

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 insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
10.0ms
(+ (* x.re x.im) (* x.im x.re))
19.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
47.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series266.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x.re x.im) (* x.im x.re))
104.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
85.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify7.6s

Counts
83 → 83
Iterations
IterNodes
39978
21788
1408
0139

prune634.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

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
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
28.0ms
(* (- 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))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
67.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series250.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- x.re x.im) x.im)
82.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
79.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.6s

Counts
112 → 112
Iterations
IterNodes
24328
1744
0214

prune924.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
22.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.4b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite104.0ms

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* insert-posit16 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 → 76
Calls
4 calls:
63.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
10.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series686.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
149.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
117.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
169.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify3.1s

Counts
88 → 88
Iterations
IterNodes
45108
31811
2779
1308
0126

prune799.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

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))

rewrite50.0ms

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 insert-posit16 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 → 105
Calls
4 calls:
32.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
5.0ms
(cbrt (- x.re x.im))
5.0ms
(cbrt (- x.re x.im))
5.0ms
(cbrt (- x.re x.im))

series798.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
201.0ms
(cbrt (- x.re x.im))
219.0ms
(cbrt (- x.re x.im))
216.0ms
(cbrt (- x.re x.im))

simplify1.6s

Counts
117 → 117
Iterations
IterNodes
43663
31381
2610
1282
0133

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
221
121
014

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.6s14355×body80valid