Details

Time bar (total: 19.7s)

sample89.0ms

Algorithm
intervals
Results
73.0ms475×body80valid

simplify2.7s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize41.0ms

Local error

Found 4 expressions with local error:

6.7b
(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b
(- (* x.re x.re) (* x.im x.im))

rewrite111.0ms

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:
Slowest
36.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
35.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms
(- (* x.re x.re) (* x.im x.im))

series277.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
92.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)
46.0ms
(- (* x.re x.re) (* x.im x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify628.0ms

Counts
85 → 85

prune773.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
24×associate-*l/
20×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*r*
9×flip3-- add-cube-cbrt flip--
7×associate-*l*
6×add-log-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×associate-+l+ sub-neg insert-posit16
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
Slowest
61.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))
37.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
18.0ms
(* x.im (+ x.re x.im))

series195.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
62.0ms
(* (* x.im (+ x.re x.im)) (- x.re x.im))
38.0ms
(* x.im (+ x.re x.im))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.5s

Counts
122 → 122

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

14.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
14.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
14.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 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 → 91
Calls
4 calls:
Slowest
52.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
15.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
172.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
161.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
135.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
134.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify789.0ms

Counts
103 → 103

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
15.0b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
15.0b
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
0.2b
(* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*r/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
Slowest
74.0ms
(* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))
45.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
38.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
37.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))

series752.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
190.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
188.0ms
(cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im)))
180.0ms
(* (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))) (cbrt (* (* x.im (+ x.re x.im)) (- x.re x.im))))

simplify2.2s

Counts
178 → 178

prune2.9s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.6s14276×body80valid