Details

Time bar (total: 2.5s)

sample27.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x.re y.im) (* x.im y.re))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify115.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune22.0ms

Filtered
14 candidates to 12 candidates (14.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x.re y.im) (* x.re y.im))
0.3b
(* (* x.im y.re) (* x.im y.re))
2.5b
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
27.0b
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* x.re y.im) (* x.re y.im))
6.0ms
(* (* x.im y.re) (* x.im y.re))
6.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
13.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* x.re y.im) (* x.re y.im))
6.0ms
(* (* x.im y.re) (* x.im y.re))
28.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
27.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify76.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0413954
12306805
25002788

prune86.0ms

Filtered
129 candidates to 66 candidates (48.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh101
Picked101
Done011
Total1284132

Merged error: 0b

Counts
132 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b
(/ (+ (* x.re y.im) (* x.im y.re)) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
15.0ms
(/ (+ (* x.re y.im) (* x.im y.re)) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ (+ (* x.re y.im) (* x.im y.re)) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
39.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
37.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
37.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))

simplify105.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
04241054
11277970
24304924
35001904

prune100.0ms

Filtered
82 candidates to 69 candidates (15.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done011
Total82486

Merged error: 0b

Counts
86 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.5b
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
11.3b
(/ (/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re))))) (cbrt (- (* x.re y.im) (* x.im y.re))))
14.1b
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
100×cbrt-div
66×associate-/r/
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
54×cbrt-prod
52×flip3-- flip--
32×frac-times
20×associate-/l*
18×add-exp-log
16×associate-*r/ associate-*l/
11×add-cbrt-cube
10×difference-of-squares
9×div-inv
7×cbrt-undiv div-exp associate-/r*
6×add-log-exp
4×pow1
3×div-sub associate-/l/
2×frac-2neg prod-exp clear-num cbrt-unprod
1×sub-neg pow1/3 diff-log
Counts
4 → 198
Calls
4 calls:
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
6.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
24.0ms
(/ (/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re))))) (cbrt (- (* x.re y.im) (* x.im y.re))))
16.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
28.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
30.0ms
(/ (/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re))))) (cbrt (- (* x.re y.im) (* x.im y.re))))
142.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010456193
150005898

prune221.0ms

Filtered
210 candidates to 171 candidates (18.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2100210
Fresh011
Picked011
Done022
Total2104214

Merged error: 0b

Counts
214 → 4

regimes389.0ms

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 (1.0ms)

IterNodesCost
0103
1103

end0.0ms

sample617.0ms

Algorithm
intervals
Results
273.0ms10542×body80valid

Profiling

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