Details

Time bar (total: 20.7s)

sample53.0ms

Algorithm
intervals
Results
38.0ms471×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
73015
61214
5597
4245
3121
251
120
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
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)
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite123.0ms

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-add flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 73
Calls
4 calls:
16.0ms
(- (* x.re x.re) (* x.im x.im))
45.0ms
(+ (* (- (* x.re x.re) (* x.im 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)
31.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series289.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* x.re x.re) (* x.im x.im))
90.0ms
(+ (* (- (* 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)
105.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.4s

Counts
85 → 85
Iterations
IterNodes
done5000
21674
1418
0142

prune453.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite204.0ms

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:
32.0ms
(* (- x.re x.im) x.im)
52.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
46.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
70.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series274.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (- x.re x.im) x.im)
85.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
106.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify4.0s

Counts
112 → 112
Iterations
IterNodes
done5008
24070
1746
0214

prune582.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.im) (* x.im x.im))
0.1b
(+ (* (+ x.re x.im) (- (* 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)
0.2b
(* (+ x.re x.im) (- (* x.re x.im) (* x.im x.im)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/
19×flip3-+ flip-+
16×frac-add
12×add-sqr-sqrt frac-times
10×*-un-lft-identity flip3-- flip--
8×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*r* associate-*l*
6×associate-*r/
5×sub-neg
4×distribute-rgt-in associate-+l+ distribute-lft-in insert-posit16
2×distribute-rgt-out-- pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log diff-log distribute-lft-out
Counts
4 → 100
Calls
4 calls:
15.0ms
(- (* x.re x.im) (* x.im x.im))
31.0ms
(+ (* (+ x.re x.im) (- (* x.re x.im) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
90.0ms
(* (+ x.re x.im) (- (* x.re x.im) (* x.im x.im)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* x.re x.im) (* x.im x.im))
113.0ms
(+ (* (+ x.re x.im) (- (* x.re x.im) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
94.0ms
(* (+ x.re x.im) (- (* x.re x.im) (* x.im x.im)))

simplify2.7s

Counts
112 → 112
Iterations
IterNodes
done5013
23661
1737
0209

prune562.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* (* 3 x.im) x.re) x.re) (* (* x.im x.im) x.im))
0.1b
(* (* (* 3 x.im) x.re) x.re)
0.1b
(* (* x.im x.im) x.im)
0.2b
(* (* 3 x.im) x.re)

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1
23×add-cbrt-cube add-exp-log
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×pow-plus pow-prod-up add-log-exp
4×insert-posit16
3×associate-*l* *-commutative
2×pow2 pow-sqr
1×sub-neg flip3-- diff-log pow3 flip-- unswap-sqr
Counts
4 → 83
Calls
4 calls:
96.0ms
(- (* (* (* 3 x.im) x.re) x.re) (* (* x.im x.im) x.im))
100.0ms
(* (* (* 3 x.im) x.re) x.re)
41.0ms
(* (* x.im x.im) x.im)
32.0ms
(* (* 3 x.im) x.re)

series230.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* (* (* 3 x.im) x.re) x.re) (* (* x.im x.im) x.im))
47.0ms
(* (* (* 3 x.im) x.re) x.re)
51.0ms
(* (* x.im x.im) x.im)
27.0ms
(* (* 3 x.im) x.re)

simplify3.2s

Counts
95 → 95
Iterations
IterNodes
done5001
34149
2990
1308
0110

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.9s14555×body80valid