Details

Time bar (total: 14.1s)

sample60.0ms

Algorithm
intervals
Results
37.0ms463×body80valid

simplify3.1s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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:
1.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

series107.0ms

Counts
1 → 3
Calls
1 calls:
107.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

simplify1.1s

Counts
13 → 13
Iterations
IterNodes
done5000
3939
2174
154
023

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite177.0ms

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:
73.0ms
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
73.0ms
(* (* x.im (* x.re x.im)) -3)
30.0ms
(* x.im (* x.re x.im))

series171.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
31.0ms
(* (* x.im (* x.re x.im)) -3)
21.0ms
(* x.im (* x.re x.im))

simplify1.1s

Counts
66 → 66
Iterations
IterNodes
done5001
21416
1253
090

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow (* (* (* x.re x.im) -3) x.im) 1) (pow x.re 3))
0.2b
(* (* (* x.re x.im) -3) x.im)
0.2b
(* (* x.re x.im) -3)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity
6×add-sqr-sqrt associate-*r* add-cube-cbrt
5×fma-def add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×associate-*l* *-commutative
1×+-commutative sum-log unpow-prod-down flip3-+ flip-+ distribute-lft-out sqr-pow
Counts
3 → 62
Calls
3 calls:
17.0ms
(+ (pow (* (* (* x.re x.im) -3) x.im) 1) (pow x.re 3))
85.0ms
(* (* (* x.re x.im) -3) x.im)
30.0ms
(* (* x.re x.im) -3)

series143.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (pow (* (* (* x.re x.im) -3) x.im) 1) (pow x.re 3))
36.0ms
(* (* (* x.re x.im) -3) x.im)
24.0ms
(* (* x.re x.im) -3)

simplify1.4s

Counts
71 → 71
Iterations
IterNodes
done5001
21911
1276
097

prune376.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x.im (* x.re (* x.im -3)) (pow x.re 3))
13.0ms
(* x.re (* x.im -3))

series139.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(fma x.im (* x.re (* x.im -3)) (pow x.re 3))
25.0ms
(* x.re (* x.im -3))

simplify2.8s

Counts
36 → 36
Iterations
IterNodes
done5000
34520
2564
1127
057

prune167.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
216
115
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.7s14433×body80valid