Details

Time bar (total: 8.6s)

sample26.0ms

Algorithm
intervals
Results
15.0ms450×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (413.0ms)

IterNodesCost
01119
12418
25917
315216
439714
593511
6264310
done500110

prune7.0ms

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp 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 (* -3 (* x.re x.im)) (pow x.re 3))
6.0ms
(* -3 (* x.re x.im))

series99.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
17.0ms
(* -3 (* x.re x.im))

simplify922.0ms

Counts
36 → 36
Iterations

Useful iterations: 3 (200.0ms)

IterNodesCost
057338
1136327
2469285
31938282
done5000282

prune84.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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

series99.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
18.0ms
(* (* -3 x.re) x.im)

simplify2.4s

Counts
36 → 36
Iterations

Useful iterations: 3 (311.0ms)

IterNodesCost
060341
1137328
2597286
33205283
done5001283

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
6.0ms
(* x.im (* x.re x.im))
15.0ms
(* -3 (* x.im (* x.re x.im)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* x.im (* x.re x.im))
25.0ms
(* -3 (* x.im (* x.re x.im)))

simplify1.3s

Counts
49 → 49
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
062429
1159406
2560334
32231334
done5001334

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
10.0ms
(* (* -3 x.im) (* x.re x.im))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (* -3 x.im) (* x.re x.im))

simplify1.5s

Counts
27 → 27
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
048287
1138265
2591209
32561209
done5001209

prune34.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
done1311

end0.0ms

sample725.0ms

Algorithm
intervals
Results
499.0ms14285×body80valid