Details

Time bar (total: 16.3s)

sample85.0ms

Algorithm
intervals
Results
67.0ms454×body80valid

simplify1.6s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize51.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.re)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0b
(+ (* x.re x.im) (* x.im x.re))

rewrite114.0ms

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:
Slowest
41.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
35.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
11.0ms
(+ (* x.re x.im) (* x.im x.re))

series235.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)
62.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
23.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify645.0ms

Counts
95 → 95

prune951.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

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:
Slowest
79.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
39.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.0ms
(+ (* x.re x.im) (* x.im x.re))

series182.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
60.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
24.0ms
(+ (* x.re x.im) (* x.im x.re))

simplify1.6s

Counts
113 → 113

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
17×associate-*r*
16×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt
8×pow1 add-cbrt-cube associate-*l* add-exp-log
6×add-log-exp
5×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-rgt-out distribute-lft-out
2×distribute-neg-in flip3-+ pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod flip-+ distribute-neg-frac unswap-sqr
1×distribute-rgt-in +-commutative neg-mul-1 sum-log fma-def distribute-lft-in flip3-- distribute-rgt-neg-out fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
Slowest
38.0ms
(* x.im (- (+ (* x.re x.im) (* x.re x.im))))
24.0ms
(* (- x.re x.im) x.re)
12.0ms
(+ (* 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)))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* x.im (- (+ (* x.re x.im) (* x.re x.im)))))
50.0ms
(* (- x.re x.im) x.re)
28.0ms
(* x.im (- (+ (* x.re x.im) (* x.re x.im))))
25.0ms
(+ (* x.re x.im) (* x.re x.im))

simplify1.8s

Counts
102 → 102

prune988.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
Slowest
29.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
5.0ms
(cbrt (- x.re x.im))
5.0ms
(cbrt (- x.re x.im))
5.0ms
(cbrt (- x.re x.im))

series806.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
217.0ms
(cbrt (- x.re x.im))
213.0ms
(cbrt (- x.re x.im))
189.0ms
(* (cbrt (- x.re x.im)) (cbrt (- x.re x.im)))
187.0ms
(cbrt (- x.re x.im))

simplify811.0ms

Counts
125 → 125

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.6s14471×body80valid