Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms321×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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:
2.0ms
(- (* 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))

simplify71.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune32.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))
0.2b
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite34.0ms

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:
2.0ms
(- (* x.re y.re) (* x.im y.im))
22.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* x.re y.re) (* x.im y.im))
35.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
84.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
84.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify188.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0245786
1918714
24975688
35001688

prune194.0ms

Filtered
111 candidates to 65 candidates (58.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1 sqrt-div
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-- associate-*r* associate-*l* pow-prod-up flip-- unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times add-log-exp
3×rem-sqrt-square
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
28.0ms
(* (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (- (* x.re y.re) (* x.im y.im)))))
83.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
83.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
85.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify43.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02691126
110151031
25001998

prune275.0ms

Filtered
140 candidates to 74 candidates (52.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp
Counts
4 → 60
Calls
4 calls:
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
4.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
88.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
87.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
91.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0154536
1507496
21865484
35001452

prune255.0ms

Filtered
72 candidates to 56 candidates (77.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample493.0ms

Algorithm
intervals
Results
231.0ms10487×body80valid