Details

Time bar (total: 3.2s)

sample27.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
8.0ms
(- (* x.re y.re) (* x.im y.im))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(- (* x.re y.re) (* x.im y.im))

simplify69.0ms

Counts
15 → 15

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.4b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.4b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.4b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
53.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
12.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
128.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
129.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
132.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify95.0ms

Counts
99 → 99

prune287.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x.im y.im) (* x.im y.im))
0.3b
(* (* x.re y.re) (* x.re y.re))
2.2b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
25.6b
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×associate-/r*
2×pow2 flip3-- swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
27.0ms
(* (* x.im y.im) (* x.im y.im))
28.0ms
(* (* x.re y.re) (* x.re y.re))
31.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
86.0ms
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* x.im y.im) (* x.im y.im))
31.0ms
(* (* x.re y.re) (* x.re y.re))
109.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
90.0ms
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify69.0ms

Counts
129 → 129

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
625.0ms10553×body80valid