Details

Time bar (total: 3.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms331×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (* x.re y.re) (* x.im y.im))

simplify74.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x.re y.re) (* x.re y.re))
0.2b
(* (* x.im y.im) (* x.im y.im))
2.7b
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
27.4b
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite68.0ms

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:
10.0ms
(* (* x.re y.re) (* x.re y.re))
10.0ms
(* (* x.im y.im) (* x.im y.im))
10.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
34.0ms
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* x.re y.re) (* x.re y.re))
30.0ms
(* (* x.im y.im) (* x.im y.im))
102.0ms
(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
78.0ms
(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify76.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0419968
12372848
25003847

prune192.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re y.re) (* x.im y.im))
0.0b
(+ (* x.re y.re) (* x.im y.im))
0.0b
(- (* x.re y.re) (* x.im y.im))
0.7b
(/ (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-log-exp
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1
3×flip3-+ associate-/r* flip-+ associate-/l*
2×+-commutative flip3-- sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 65
Calls
4 calls:
2.0ms
(+ (* x.re y.re) (* x.im y.im))
2.0ms
(+ (* x.re y.re) (* x.im y.im))
2.0ms
(- (* x.re y.re) (* x.im y.im))
11.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re y.re) (* x.im y.im))
33.0ms
(+ (* x.re y.re) (* x.im y.im))
35.0ms
(- (* x.re y.re) (* x.im y.im))
33.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))

simplify92.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0211602
1782551
22842543
35001543

prune186.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
1.7b
(* (* x.im y.im) (- (* x.im y.im) (* x.re y.re)))
2.6b
(+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
38.1b
(/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

rewrite74.0ms

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:
11.0ms
(+ (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
12.0ms
(* (* x.im y.im) (- (* x.im y.im) (* x.re y.re)))
8.0ms
(+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
40.0ms
(/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(+ (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
60.0ms
(* (* x.im y.im) (- (* x.im y.im) (* x.re y.re)))
193.0ms
(+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
132.0ms
(/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

simplify108.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
04361484
125631357
250021352

prune485.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample480.0ms

Algorithm
intervals
Results
225.0ms10435×body80valid