Details

Time bar (total: 35.1s)

sample82.0ms

Algorithm
intervals
Results
65.0ms481×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
74371
61764
5723
4268
3110
250
123
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize38.0ms

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.re)
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite106.0ms

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*
5×flip3-+ flip-+
4×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
33.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
46.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series274.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x.re x.im) (* x.im x.re))
37.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
124.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
77.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify17.0s

Counts
93 → 93
Iterations
IterNodes
38178
21845
1428
0147

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
20×flip3-+ flip-+
16×frac-add
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity flip3-- flip--
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 sum-log fma-def *-commutative
1×distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
51.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
65.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series226.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x.re x.im) (* x.im x.re))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
79.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))
78.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
24262
1753
0209

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 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.re)
0.1b
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
2×flip3-+ associate-*l/ flip-+
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 49
Calls
3 calls:
15.0ms
(+ (* x.re x.im) (* x.im x.re))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series234.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
41.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
153.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
32222
2660
1201
080

prune608.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.re))
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)
0.6b
(cbrt x.re)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×cbrt-prod
10×*-un-lft-identity add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×add-cbrt-cube
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*l/ unswap-sqr
1×flip3-+ distribute-rgt-out count-2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 72
Calls
4 calls:
42.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.re))
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)
1.0ms
(cbrt x.re)

series1.1s

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.re))
306.0ms
(cbrt x.re)
323.0ms
(cbrt x.re)
311.0ms
(cbrt x.re)

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
32589
2656
1184
080

prune905.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.4s14464×body80valid