Details

Time bar (total: 29.6s)

sample95.0ms

Algorithm
intervals
Results
73.0ms482×body80valid

simplify4.1s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.0b

localize34.0ms

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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
10.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite108.0ms

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))
44.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
23.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series250.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.im x.re))
99.0ms
(- (* (- (* x.re x.re) (* x.im 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)
70.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify6.3s

Counts
84 → 84
Iterations
IterNodes
38991
21740
1403
0140

prune799.0ms

Pruning

8 alts after pruning (8 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 x.re))
0.1b
(- (* (+ 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.re x.im) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
55.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
53.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

series241.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x.re x.im) (* x.im x.re))
74.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
88.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
47.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
24053
1723
0202

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
21.5b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
21.5b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
21.5b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite68.0ms

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:
31.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
14.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series651.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
170.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
169.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
136.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify3.7s

Counts
88 → 88
Iterations
IterNodes
45137
31827
2780
1308
0126

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

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))))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
14.0b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite224.0ms

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:
105.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
23.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
42.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
46.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series772.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
202.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
188.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
203.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify2.1s

Counts
178 → 178
Iterations
IterNodes
34790
21198
1433
0253

prune3.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
224
124
017

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.6s14517×body80valid