Details

Time bar (total: 27.7s)

sample76.0ms

Algorithm
intervals
Results
60.0ms493×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
62549
5986
4351
3142
255
124
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize39.0ms

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

rewrite118.0ms

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))
52.0ms
(- (* (- (* 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.im) (* x.im x.re)) x.im)
21.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series209.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x.re x.im) (* x.im x.re))
65.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify10.7s

Counts
95 → 95
Iterations
IterNodes
38328
21889
1436
0153

prune967.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
37×prod-diff
35×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
24×associate-*l/ associate-*r/
22×distribute-rgt-in distribute-lft-in associate--l+
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
8×associate-*r* add-log-exp
5×sub-neg
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def fma-neg diff-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 146
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
50.0ms
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
48.0ms
(* (* x.re (+ x.re x.im)) (- x.re x.im))

series252.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
86.0ms
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
87.0ms
(* (* x.re (+ x.re x.im)) (- x.re x.im))

simplify1.8s

Counts
158 → 158
Iterations
IterNodes
25537
1962
0278

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.2b
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.2b
(fma (* x.re (+ x.re x.im)) (- x.re x.im) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
35.9b
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

rewrite60.0ms

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:
33.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
26.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.0ms
(fma (* x.re (+ x.re x.im)) (- x.re x.im) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
0.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
46.0ms
(* x.im (+ (* x.re x.im) (* x.im x.re)))
124.0ms
(fma (* x.re (+ x.re x.im)) (- x.re x.im) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
56.0ms
(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

simplify1.3s

Counts
84 → 84
Iterations
IterNodes
33021
2773
1215
086

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
16.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
2.0ms
(cbrt x.im)

series1.5s

Counts
4 → 12
Calls
4 calls:
396.0ms
(* (cbrt x.im) (cbrt x.im))
263.0ms
(cbrt x.im)
576.0ms
(cbrt x.im)
307.0ms
(cbrt x.im)

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
42982
3985
2342
1136
067

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
433
333
228
122
014

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.7s14552×body80valid