Details

Time bar (total: 14.1s)

sample53.0ms

Algorithm
intervals
Results
31.0ms463×body80valid

simplify2.9s

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

simplify748.0ms

Counts
13 → 13
Iterations
IterNodes
done5000
3939
2174
154
023

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
0.1b
(* x.im (* x.re x.im))
0.2b
(* (* x.im (* x.re x.im)) -3)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
3 → 57
Calls
3 calls:
60.0ms
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
13.0ms
(* x.im (* x.re x.im))
53.0ms
(* (* x.im (* x.re x.im)) -3)

series136.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
20.0ms
(* x.im (* x.re x.im))
24.0ms
(* (* x.im (* x.re x.im)) -3)

simplify1.4s

Counts
66 → 66
Iterations
IterNodes
done5000
21417
1252
090

prune269.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
0.2b
(* x.im (* (* x.re x.im) -3))
0.2b
(* (* x.re x.im) -3)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
3 → 57
Calls
3 calls:
53.0ms
(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
43.0ms
(* x.im (* (* x.re x.im) -3))
15.0ms
(* (* x.re x.im) -3)

series158.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
29.0ms
(* x.im (* (* x.re x.im) -3))
35.0ms
(* (* x.re x.im) -3)

simplify1.1s

Counts
66 → 66
Iterations
IterNodes
done5001
21541
1264
092

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))) (pow x.re 3))
0.2b
(* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3)))
0.2b
(* (* (cbrt -3) (cbrt -3)) (* x.re x.im))
0.3b
(* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))

rewrite803.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
37×add-cbrt-cube
8×associate-*r*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×cbrt-prod *-commutative
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 102
Calls
4 calls:
286.0ms
(+ (* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))) (pow x.re 3))
350.0ms
(* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3)))
41.0ms
(* (* (cbrt -3) (cbrt -3)) (* x.re x.im))
119.0ms
(* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))

series557.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(+ (* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))) (pow x.re 3))
124.0ms
(* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3)))
123.0ms
(* (* (cbrt -3) (cbrt -3)) (* x.re x.im))
108.0ms
(* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))

simplify2.2s

Counts
114 → 114
Iterations
IterNodes
done5001
22795
1413
0139

prune450.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
216
114
08

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.7s14400×body80valid