Details

Time bar (total: 16.4s)

sample37.0ms

Algorithm
intervals
Results
22.0ms464×body80valid

simplify3.3s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

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.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))
3.9b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite93.0ms

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:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
31.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
30.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series208.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* x.re x.im) (* x.im x.re))
38.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
76.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
66.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.0s

Counts
91 → 91
Iterations
IterNodes
done5000
22937
1445
0149

prune553.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

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 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 → 107
Calls
4 calls:
18.0ms
(* (- x.re x.im) x.re)
35.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
61.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
52.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series282.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- x.re x.im) x.re)
56.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
84.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
78.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify985.0ms

Counts
119 → 119
Iterations
IterNodes
done5001
1801
0224

prune806.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

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))))
16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite103.0ms

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 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 → 95
Calls
4 calls:
74.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (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)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
124.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
126.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
171.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.5s

Counts
107 → 107
Iterations
IterNodes
done5001
21198
1315
0123

prune847.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
16.8b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
131.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
117.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
138.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5001
31338
2449
1156
062

prune700.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done30
330
228
126
018

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s14370×body80valid