Details

Time bar (total: 5.1s)

sample47.0ms

Algorithm
intervals
Results
28.0ms476×body80valid

simplify177.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

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)))
7.4b
(* x.im (* x.re x.re))

rewrite172.0ms

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:
90.0ms
(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
60.0ms
(* 3 (* x.im (* x.re x.re)))
18.0ms
(* x.im (* x.re x.re))

series173.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
56.0ms
(* 3 (* x.im (* x.re x.re)))
49.0ms
(* x.im (* x.re x.re))

simplify108.0ms

Counts
61 → 61

prune163.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

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
(* (* x.im x.re) x.re)

rewrite199.0ms

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:
77.0ms
(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
92.0ms
(* 3 (* (* x.im x.re) x.re))
25.0ms
(* (* x.im x.re) x.re)

series219.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
58.0ms
(* 3 (* (* x.im x.re) x.re))
58.0ms
(* (* x.im x.re) x.re)

simplify55.0ms

Counts
60 → 60

prune171.0ms

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

rewrite559.0ms

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:
466.0ms
(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
56.0ms
(* (* 3 (* x.im x.re)) x.re)
35.0ms
(* 3 (* x.im x.re))

series163.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
58.0ms
(* (* 3 (* x.im x.re)) x.re)
26.0ms
(* 3 (* x.im x.re))

simplify53.0ms

Counts
60 → 60

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
0.2b
(* (* (* 3 x.im) x.re) x.re)
0.2b
(* (* 3 x.im) x.re)

rewrite226.0ms

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:
99.0ms
(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
87.0ms
(* (* (* 3 x.im) x.re) x.re)
37.0ms
(* (* 3 x.im) x.re)

series163.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
50.0ms
(* (* (* 3 x.im) x.re) x.re)
23.0ms
(* (* 3 x.im) x.re)

simplify46.0ms

Counts
60 → 60

prune157.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify79.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s14453×body80valid