Details

Time bar (total: 13.3s)

sample46.0ms

Algorithm
intervals
Results
26.0ms457×body80valid

simplify2.8s

Counts
1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b
(* 3 (* x.im (* x.re x.re)))
6.6b
(* x.im (* x.re x.re))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip-- unswap-sqr
Counts
3 → 52
Calls
3 calls:
52.0ms
(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
77.0ms
(* 3 (* x.im (* x.re x.re)))
35.0ms
(* x.im (* x.re x.re))

series189.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
59.0ms
(* 3 (* x.im (* x.re x.re)))
47.0ms
(* x.im (* x.re x.re))

simplify2.4s

Counts
61 → 61

prune165.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.1b
(* (* x.im x.re) x.re)
0.2b
(* 3 (* (* x.im x.re) x.re))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
75.0ms
(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
44.0ms
(* (* x.im x.re) x.re)
69.0ms
(* 3 (* (* x.im x.re) x.re))

series166.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
43.0ms
(* (* x.im x.re) x.re)
40.0ms
(* 3 (* (* x.im x.re) x.re))

simplify762.0ms

Counts
60 → 60

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
64.0ms
(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
84.0ms
(* (* 3 (* x.im x.re)) x.re)
29.0ms
(* 3 (* x.im x.re))

series196.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
61.0ms
(* (* 3 (* x.im x.re)) x.re)
34.0ms
(* 3 (* x.im x.re))

simplify813.0ms

Counts
60 → 60

prune130.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite584.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*l* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
466.0ms
(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
90.0ms
(* (* (* 3 x.im) x.re) x.re)
26.0ms
(* (* 3 x.im) x.re)

series168.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
45.0ms
(* (* (* 3 x.im) x.re) x.re)
34.0ms
(* (* 3 x.im) x.re)

simplify858.0ms

Counts
60 → 60

prune169.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s14277×body80valid