Details

Time bar (total: 11.5s)

sample26.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify14.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
9.0ms
(+ (* x.re y.im) (* x.im y.re))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.9s

Counts
14 → 14

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y.re x.im) (* y.im x.re))
0.3b
(pow (+ (* y.re x.im) (* y.im x.re)) 3)
35.5b
(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 59
Calls
3 calls:
9.0ms
(+ (* y.re x.im) (* y.im x.re))
11.0ms
(pow (+ (* y.re x.im) (* y.im x.re)) 3)
15.0ms
(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series301.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (* y.re x.im) (* y.im x.re))
202.0ms
(pow (+ (* y.re x.im) (* y.im x.re)) 3)
52.0ms
(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify660.0ms

Counts
68 → 68

prune171.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im)))
1.5b
(+ (pow (* y.re x.im) 3) (pow (* y.im x.re) 3))
2.5b
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
36.6b
(/ (+ (pow (* y.re x.im) 3) (pow (* y.im x.re) 3)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
43.0ms
(+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im)))
26.0ms
(+ (pow (* y.re x.im) 3) (pow (* y.im x.re) 3))
46.0ms
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
132.0ms
(/ (+ (pow (* y.re x.im) 3) (pow (* y.im x.re) 3)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im)))
275.0ms
(+ (pow (* y.re x.im) 3) (pow (* y.im x.re) 3))
90.0ms
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
217.0ms
(/ (+ (pow (* y.re x.im) 3) (pow (* y.im x.re) 3)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))))

simplify2.0s

Counts
103 → 103

prune428.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
2.5b
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
24.8b
(/ (+ (* y.re x.im) (* y.im x.re)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))))
24.8b
(* (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))) (/ (+ (* y.re x.im) (* y.im x.re)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im)))))

rewrite544.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log associate-*r* add-cbrt-cube
19×times-frac
16×pow1
8×prod-exp cbrt-unprod
7×pow-prod-down
5×flip3-+ associate-*r/ associate-*l* flip-+
4×distribute-rgt-in sub-neg distribute-lft-in associate-/r/ add-log-exp
3×associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip-- div-inv associate-/l/ unswap-sqr
1×frac-2neg clear-num
Counts
4 → 117
Calls
4 calls:
60.0ms
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
47.0ms
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
95.0ms
(/ (+ (* y.re x.im) (* y.im x.re)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))))
337.0ms
(* (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))) (/ (+ (* y.re x.im) (* y.im x.re)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im)))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
101.0ms
(* (* y.im x.re) (- (* y.im x.re) (* y.re x.im)))
110.0ms
(/ (+ (* y.re x.im) (* y.im x.re)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))))
67.0ms
(* (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im))) (/ (+ (* y.re x.im) (* y.im x.re)) (+ (* (* y.im x.re) (- (* y.im x.re) (* y.re x.im))) (* (* y.re x.im) (* y.re x.im)))))

simplify2.0s

Counts
129 → 129

prune437.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
532.0ms10441×body80valid