Details

Time bar (total: 2.3s)

sample28.0ms

Algorithm
intervals
Results
16.0ms340×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1203
2243
3243

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 expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (* x.re y.re) (* x.im y.im))

simplify77.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
010592
136283
2110783
3262280
4500180

prune46.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x.re y.re (- (* x.im y.im)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma x.re y.re (- (* x.im y.im)))

simplify119.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03055
15948
219748
376448
4422548
5500148

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x.re y.re (- (* x.im y.im)))
0.2b
(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.5b
(sqrt (fma x.re y.re (- (* x.im y.im))))
1.5b
(sqrt (fma x.re y.re (- (* x.im y.im))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma x.re y.re (- (* x.im y.im)))
7.0ms
(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
1.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

series266.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma x.re y.re (- (* x.im y.im)))
44.0ms
(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
88.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
89.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

simplify149.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0181595
1674523
23778497
35001489

prune208.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y.re x.re) (* y.im x.im))
0.3b
(pow (- (* y.re x.re) (* y.im x.im)) 3)
35.3b
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite13.0ms

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×expm1-log1p-u pow-unpow flip3-- flip-- log1p-expm1-u
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow fma-neg pow1/3 diff-log prod-diff pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 68
Calls
3 calls:
3.0ms
(- (* y.re x.re) (* y.im x.im))
4.0ms
(pow (- (* y.re x.re) (* y.im x.im)) 3)
4.0ms
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series218.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* y.re x.re) (* y.im x.im))
140.0ms
(pow (- (* y.re x.re) (* y.im x.im)) 3)
39.0ms
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0270469
11152436
25001428

prune157.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes91.0ms

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
0123
1143
2143

end0.0ms

sample719.0ms

Algorithm
intervals
Results
446.0ms10469×body80valid