Details

Time bar (total: 16.2s)

sample79.0ms

Algorithm
intervals
Results
61.0ms443×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5001
51929
4533
3180
266
124
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize48.0ms

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)
8.4b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite138.0ms

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:
18.0ms
(+ (* x.re x.im) (* x.im x.re))
33.0ms
(- (* (- (* 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)
52.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series169.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* x.re x.im) (* x.im x.re))
55.0ms
(- (* (- (* 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)
50.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.8s

Counts
95 → 95
Iterations
IterNodes
done5000
22894
1449
0153

prune493.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×sub-neg fma-neg diff-log prod-diff distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
26.0ms
(* (- x.re x.im) x.re)
46.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
21.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series272.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (- x.re x.im) x.re)
63.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
55.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
91.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.0s

Counts
123 → 123
Iterations
IterNodes
done5000
1804
0228

prune606.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×associate-*r* associate-*l* add-cube-cbrt
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×associate-*r/ *-commutative
1×flip3-+ flip3-- flip-+ fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
16.0ms
(* (- x.re x.im) x.re)
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* (* x.im (+ x.re x.re)) x.im)))
28.0ms
(* (* x.im (+ x.re x.re)) x.im)

series224.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* (- x.re x.im) x.re)
128.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* (* x.im (+ x.re x.re)) x.im)))
33.0ms
(* (* x.im (+ x.re x.re)) x.im)

simplify1.4s

Counts
68 → 68
Iterations
IterNodes
done5001
21813
1270
0107

prune359.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite88.0ms

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×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 → 99
Calls
4 calls:
66.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
9.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
143.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
136.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
149.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.4s

Counts
111 → 111
Iterations
IterNodes
done5000
21200
1317
0125

prune679.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done27
327
225
118
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.3s14408×body80valid