Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
6.0ms321×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1203
2243
3243

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 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))

series35.0ms

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

prune42.0ms

Filtered
19 candidates to 16 candidates (84.2%)
Pruning

2 alts after pruning (2 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)))

series45.0ms

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

simplify124.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03055
15948
219748
376448
4422548
5500148

prune33.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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

rewrite11.0ms

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))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(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)))))
87.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
89.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

simplify150.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0181595
1674523
23778497
35001489

prune193.0ms

Filtered
103 candidates to 65 candidates (63.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
12.0ms
(* (sqrt (sqrt (fma x.re y.re (- (* x.im y.im))))) (sqrt (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))))
1.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

series345.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (sqrt (sqrt (fma x.re y.re (- (* x.im y.im))))) (sqrt (sqrt (fma x.re y.re (- (* x.im y.im))))))
86.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
86.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
88.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

simplify178.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
0206918
1771823
24209790
35001774

prune243.0ms

Filtered
134 candidates to 71 candidates (53.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

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

sample478.0ms

Algorithm
intervals
Results
222.0ms10487×body80valid