Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
6.0ms328×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
11.0ms
(- (* x.re y.re) (* x.im y.im))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (* 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

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite70.0ms

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:
50.0ms
(* (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)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
114.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
122.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify93.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
03101067
110651000
24162924
35001915

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt (+ (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0b
(cbrt (- (* x.re y.re) (* x.im y.im)))
29.0b
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
1×flip3-+ flip-+ difference-of-squares
Counts
4 → 53
Calls
4 calls:
4.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
5.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
24.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ (* x.re y.re) (* x.im y.im)))
119.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
119.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
118.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify45.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0333665
11120618
25001591

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))
0.3b
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.5b
(sqrt (- (* x.re y.re) (* x.im y.im)))
1.5b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
9.0ms
(- (* x.re y.re) (* x.im y.im))
48.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
10.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
8.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* x.re y.re) (* x.im y.im))
40.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
85.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
89.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify202.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0245786
1918714
24975688
35001688

prune182.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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

sample559.0ms

Algorithm
intervals
Results
204.0ms10379×body80valid