Details

Time bar (total: 10.5s)

sample40.0ms

Algorithm
intervals
Results
23.0ms455×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 5 (511.0ms)

IterNodesCost
01119
12317
26116
314916
443313
5151911
done500111

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
44.0ms
(* 3 (* (* x.im x.re) x.re))
31.0ms
(* (* x.im x.re) x.re)

series98.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* 3 (* (* x.im x.re) x.re))
52.0ms
(* (* x.im x.re) x.re)

simplify737.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (156.0ms)

IterNodesCost
064434
1172415
21138337
done5001337

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 3 (* x.im x.re)) x.re)
0.3b
(* 3 (* x.im x.re))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
57.0ms
(* (* 3 (* x.im x.re)) x.re)
13.0ms
(* 3 (* x.im x.re))

series70.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (* 3 (* x.im x.re)) x.re)
27.0ms
(* 3 (* x.im x.re))

simplify786.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
065434
1170411
21061343
done5001343

prune236.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
81.0ms
(* (* (* 3 x.im) x.re) x.re)
28.0ms
(* (* 3 x.im) x.re)

series65.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (* (* 3 x.im) x.re) x.re)
22.0ms
(* (* 3 x.im) x.re)

simplify941.0ms

Counts
49 → 49
Iterations

Useful iterations: done (939.0ms)

IterNodesCost
064435
1179414
21341342
done5000340

prune235.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
0.2b
(* (* x.im x.re) x.re)
0.3b
(* (cbrt 3) (* (* x.im x.re) x.re))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1 add-exp-log
33×pow-prod-down prod-exp cbrt-unprod
32×add-cbrt-cube
8×associate-*l*
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*r*
3×cbrt-prod expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 82
Calls
3 calls:
192.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
17.0ms
(* (* x.im x.re) x.re)
67.0ms
(* (cbrt 3) (* (* x.im x.re) x.re))

series304.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
36.0ms
(* (* x.im x.re) x.re)
108.0ms
(* (cbrt 3) (* (* x.im x.re) x.re))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01021203
12911160
21771804
done5001692

prune365.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s14383×body80valid