Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
7.0ms347×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:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- (* x.re y.re) (* x.im y.im))

simplify77.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune33.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
1.9b
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
2.2b
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
33.6b
(/ (- (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))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
9.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
11.0ms
(* (* 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))
35.0ms
(/ (- (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))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
51.0ms
(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
195.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
138.0ms
(/ (- (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))))

simplify126.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
05541992
132501869
250011864

prune369.0ms

Filtered
121 candidates to 92 candidates (76.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

21.7b
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
21.7b
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
21.7b
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
33.6b
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))) (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))) (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))) (* (* x.re y.re) (* x.re y.re))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×times-frac
26×*-un-lft-identity
18×add-cube-cbrt
16×difference-of-squares sqr-pow
9×associate-/l*
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×pow1 difference-cubes flip3-+ flip-+ distribute-lft-out-- add-log-exp
3×cbrt-prod pow1/3 associate-/r*
2×associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 89
Calls
4 calls:
7.0ms
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
7.0ms
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
7.0ms
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
77.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))) (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))) (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))) (* (* x.re y.re) (* x.re y.re))))

series761.0ms

Counts
4 → 12
Calls
4 calls:
345.0ms
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
144.0ms
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
139.0ms
(cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))
134.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))) (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))) (cbrt (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))))) (* (* x.re y.re) (* x.re y.re))))

simplify83.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04833212
118443022
250012726

prune407.0ms

Filtered
101 candidates to 89 candidates (88.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

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

sample478.0ms

Algorithm
intervals
Results
225.0ms10462×body80valid