Details

Time bar (total: 19.3s)

sample66.0ms

Algorithm
intervals
Results
52.0ms451×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done2002
72002
61970
5833
4340
3156
258
121
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize22.0ms

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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite110.0ms

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-+ insert-posit16 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 → 72
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
35.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
32.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series201.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* x.re x.im) (* x.im x.re))
70.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
58.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.9s

Counts
84 → 84
Iterations
IterNodes
done2000
32000
21654
1405
0140

prune857.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

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
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
17.0ms
(* (- x.re x.im) x.re)
75.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
67.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series248.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- x.re x.im) x.re)
87.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
43.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
58.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.1s

Counts
113 → 113
Iterations
IterNodes
done2000
22000
1753
0215

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 99
Calls
4 calls:
51.0ms
(* (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))

series741.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
146.0ms
(cbrt (+ x.re x.im))
185.0ms
(cbrt (+ x.re x.im))
170.0ms
(cbrt (+ x.re x.im))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
done2000
42000
31705
2650
1277
0118

prune1.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.9b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite194.0ms

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* insert-posit16 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 → 166
Calls
4 calls:
85.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
35.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
36.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
26.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
177.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
170.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
203.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify1.3s

Counts
178 → 178
Iterations
IterNodes
done2006
32006
21215
1436
0253

prune2.8s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14460×body80valid