Details

Time bar (total: 19.3s)

sample50.0ms

Algorithm
intervals
Results
32.0ms478×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5003
62763
51086
4382
3146
255
124
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize20.0ms

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))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.2b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite123.0ms

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-+ 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 → 79
Calls
4 calls:
8.0ms
(+ (* x.re x.im) (* x.im x.re))
36.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
42.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
35.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series215.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x.re x.im) (* x.im x.re))
95.0ms
(- (* (- (* 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)
59.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.2s

Counts
91 → 91
Iterations
IterNodes
done5001
21774
1431
0149

prune556.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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

rewrite148.0ms

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 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 → 97
Calls
4 calls:
11.0ms
(+ (* x.re x.im) (* x.im x.re))
61.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
48.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series270.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* x.re x.im) (* x.im x.re))
103.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
56.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
73.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify2.4s

Counts
109 → 109
Iterations
IterNodes
done5000
24183
1771
0211

prune655.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×associate-*l*
10×add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-+ distribute-rgt-out count-2 pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×+-commutative neg-mul-1 sum-log fma-def flip3-- distribute-rgt-neg-out fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
32.0ms
(* (- x.re x.im) x.re)
12.0ms
(+ (* x.re x.im) (* x.re x.im))
36.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (- x.im))
0.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- x.re x.im) x.re)
25.0ms
(+ (* x.re x.im) (* x.re x.im))
47.0ms
(* (+ (* x.re x.im) (* x.re x.im)) (- x.im))
140.0ms
(fma (+ x.re x.im) (* (- x.re x.im) x.re) (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5002
21238
1311
0131

prune496.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im))) (cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im))))
27.4b
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))
27.4b
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))
27.4b
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
36.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im))) (cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im))))
15.0ms
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))
11.0ms
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))
8.0ms
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

series687.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im))) (cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im))))
171.0ms
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))
174.0ms
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))
154.0ms
(cbrt (* (+ (* x.re x.im) (* x.re x.im)) (- x.im)))

simplify2.0s

Counts
92 → 92
Iterations
IterNodes
done5000
32255
2760
1309
0124

prune594.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done32
432
327
224
120
013

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s14529×body80valid