Details

Time bar (total: 19.0s)

sample67.0ms

Algorithm
intervals
Results
49.0ms453×body80valid

simplify4.9s

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3 (* x.im x.im))
6.0b
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*l/ *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×flip3-- flip--
Counts
2 → 45
Calls
2 calls:
24.0ms
(* 3 (* x.im x.im))
21.0ms
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

series132.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* 3 (* x.im x.im))
102.0ms
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

simplify2.8s

Counts
51 → 51
Iterations
IterNodes
done5001
33992
2745
1216
081

prune185.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.9b

localize45.0ms

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))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.1b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite107.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
28.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
50.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series209.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x.re x.im) (* x.im x.re))
78.0ms
(- (* (- (* 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)
68.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.4s

Counts
95 → 95
Iterations
IterNodes
done5002
21872
1436
0153

prune480.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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

rewrite150.0ms

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:
7.0ms
(+ (* x.re x.im) (* 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))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
42.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series190.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x.re x.im) (* 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))
30.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
64.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify2.3s

Counts
113 → 113
Iterations
IterNodes
done5000
24142
1774
0215

prune585.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt
9×associate-*r*
8×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-+ distribute-rgt-out count-2 pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×distribute-lft-neg-out distribute-rgt-in +-commutative neg-mul-1 sum-log fma-def distribute-lft-in flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
20.0ms
(* (- x.re x.im) x.re)
14.0ms
(+ (* x.re x.im) (* x.re x.im))
31.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.re)
22.0ms
(+ (* x.re x.im) (* x.re x.im))
23.0ms
(* (- x.im) (+ (* x.re x.im) (* x.re x.im)))
97.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (- x.im) (+ (* x.re x.im) (* x.re x.im))))

simplify1.4s

Counts
102 → 102
Iterations
IterNodes
done5000
21300
1351
0131

prune485.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done28
428
323
220
116
010

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.7s14418×body80valid