Details

Time bar (total: 13.9s)

sample37.0ms

Algorithm
intervals
Results
21.0ms463×body80valid

simplify3.0s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

simplify666.0ms

Counts
13 → 13
Iterations
IterNodes
done5000
3939
2174
154
023

prune115.0ms

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))

rewrite142.0ms

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:
63.0ms
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
55.0ms
(* (* x.im (* x.re x.im)) -3)
23.0ms
(* x.im (* x.re x.im))

series138.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
29.0ms
(* (* x.im (* x.re x.im)) -3)
22.0ms
(* x.im (* x.re x.im))

simplify1.0s

Counts
66 → 66
Iterations
IterNodes
done5001
21416
1253
090

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite135.0ms

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:
59.0ms
(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
58.0ms
(* x.im (* (* x.re x.im) -3))
15.0ms
(* (* x.re x.im) -3)

series187.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
41.0ms
(* 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

prune337.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite918.0ms

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:
347.0ms
(+ (* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))) (pow x.re 3))
378.0ms
(* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3)))
33.0ms
(* (* (cbrt -3) (cbrt -3)) (* x.re x.im))
153.0ms
(* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))

series517.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(+ (* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))) (pow x.re 3))
119.0ms
(* x.im (* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3)))
111.0ms
(* (* (cbrt -3) (cbrt -3)) (* x.re x.im))
111.0ms
(* (* (* (cbrt -3) (cbrt -3)) (* x.re x.im)) (cbrt -3))

simplify2.2s

Counts
114 → 114
Iterations
IterNodes
done5001
22795
1413
0139

prune758.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s14433×body80valid