Details

Time bar (total: 28.6s)

sample93.0ms

Algorithm
intervals
Results
74.0ms451×body80valid

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
75532
61936
5833
4340
3156
258
121
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize33.0ms

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)

rewrite125.0ms

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:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
50.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
36.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series189.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* x.re x.im) (* x.im x.re))
66.0ms
(- (* (- (* 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)
59.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify6.7s

Counts
84 → 84
Iterations
IterNodes
38991
21740
1403
0140

prune759.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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))

rewrite189.0ms

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:
23.0ms
(* (- x.re x.im) x.re)
73.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
50.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series254.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- x.re x.im) x.re)
69.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
99.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts
113 → 113
Iterations
IterNodes
24465
1751
0215

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite64.0ms

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))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))

series744.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
181.0ms
(cbrt (+ x.re x.im))
179.0ms
(cbrt (+ x.re x.im))
170.0ms
(cbrt (+ x.re x.im))

simplify2.0s

Counts
111 → 111
Iterations
IterNodes
44366
31635
2661
1268
0118

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

localize62.0ms

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)))

rewrite282.0ms

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:
144.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
47.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
44.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
39.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
191.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
205.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
187.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify1.8s

Counts
178 → 178
Iterations
IterNodes
34790
21198
1433
0253

prune3.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes181.0ms

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
216
116
011

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14460×body80valid