Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite4.0ms

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))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify116.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune27.0ms

Filtered
14 candidates to 12 candidates (85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.1b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (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)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
100.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
101.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
105.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify92.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
03141055
11028988
23721912
35003903

prune236.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b
(cbrt (- (* x.re y.im) (* x.im y.re)))
1.8b
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
23.8b
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×difference-of-squares
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
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)))
6.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
109.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
97.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
113.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

simplify49.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0369679
11338620
25002599

prune219.0ms

Filtered
65 candidates to 58 candidates (89.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done022
Total65469

Merged error: 0.0b

Counts
69 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y.re x.im) (* y.im x.re))
0.3b
(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.6b
(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 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×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 59
Calls
3 calls:
3.0ms
(+ (* y.re x.im) (* y.im x.re))
4.0ms
(pow (+ (* y.re x.im) (* y.im x.re)) 3)
4.0ms
(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series191.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* y.re x.im) (* y.im x.re))
125.0ms
(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.0ms
(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0258431
11250408
25001402

prune102.0ms

Filtered
68 candidates to 41 candidates (60.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done033
Total68472

Merged error: 0.0b

Counts
72 → 4

regimes144.0ms

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
0103
1103

end0.0ms

sample511.0ms

Algorithm
intervals
Results
265.0ms10483×body80valid