Details

Time bar (total: 19.9s)

sample88.0ms

Algorithm
intervals
Results
70.0ms450×body80valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5003
62763
51086
4382
3146
255
124
011

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize28.0ms

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.im x.re)) x.im)
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.6b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite137.0ms

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×expm1-log1p-u flip3-+ flip3-- frac-sub flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff difference-of-squares
Counts
4 → 83
Calls
4 calls:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
43.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
37.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series206.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x.re x.im) (* x.im x.re))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
71.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
63.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.9s

Counts
95 → 95
Iterations
IterNodes
done5005
21939
1435
0153

prune422.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

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.im) (* x.im x.re)) x.im)
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.re x.im) x.re))

rewrite168.0ms

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×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff distribute-lft-out unswap-sqr
Counts
4 → 101
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
76.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series222.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* x.re x.im) (* x.im x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
70.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
75.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify2.2s

Counts
113 → 113
Iterations
IterNodes
done5000
24086
1775
0215

prune614.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.1b
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.2b
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
37.9b
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
4 → 72
Calls
4 calls:
22.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
28.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
1.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
37.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
116.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
54.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
done5000
2943
1241
086

prune493.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

22.6b
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
22.6b
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
22.6b
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
37.9b
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-div associate-*r/
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod flip3-+ pow1/3 flip-+
1×fma-udef
Counts
4 → 53
Calls
4 calls:
14.0ms
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
15.0ms
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
23.0ms
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
1.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
159.0ms
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
145.0ms
(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
57.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

simplify1.8s

Counts
65 → 65
Iterations
IterNodes
done5002
31453
2539
1200
083

prune453.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done33
333
228
122
014

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s14171×body80valid