Details

Time bar (total: 14.0s)

sample27.0ms

Algorithm
intervals
Results
17.0ms481×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 6 (897.0ms)

IterNodesCost
01119
12318
25817
315116
439512
593211
6255010
done500010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (* -3 (* x.re x.im)) x.im (pow x.re 3))
6.0ms
(* -3 (* x.re x.im))

series60.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma (* -3 (* x.re x.im)) x.im (pow x.re 3))
17.0ms
(* -3 (* x.re x.im))

simplify2.0s

Counts
36 → 36
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
057338
1129327
2419282
31445282
done5000282

prune84.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (* (* -3 x.re) x.im) x.im (pow x.re 3))
7.0ms
(* (* -3 x.re) x.im)

series64.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(fma (* (* -3 x.re) x.im) x.im (pow x.re 3))
17.0ms
(* (* -3 x.re) x.im)

simplify2.2s

Counts
36 → 36
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
060341
1136328
2539283
32326283
done5000283

prune81.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* associate-*l* sum-log *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
12.0ms
(+ (* (* x.re x.im) (* -3 x.im)) (pow x.re 3))
9.0ms
(* (* x.re x.im) (* -3 x.im))

series81.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* (* x.re x.im) (* -3 x.im)) (pow x.re 3))
32.0ms
(* (* x.re x.im) (* -3 x.im))

simplify2.3s

Counts
44 → 44
Iterations

Useful iterations: 3 (975.0ms)

IterNodesCost
073561
1219501
2896433
34610424
done5000424

prune84.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x.im) (cbrt x.im))
0.0ms
(cbrt x.im)
0.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series690.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt x.im) (cbrt x.im))
170.0ms
(cbrt x.im)
167.0ms
(cbrt x.im)
167.0ms
(cbrt x.im)

simplify2.9s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
065554
1119443
2329423
31180405
43749400
done5000400

prune246.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11010
done1010

end0.0ms

sample733.0ms

Algorithm
intervals
Results
511.0ms14417×body80valid