Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms290×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

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
(/ (fabs (- x y)) (fabs y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

simplify86.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086226
1235208
2584208
31520208
44363208
55002208

prune57.0ms

Filtered
30 candidates to 22 candidates (73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.2b
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 334
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
5.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
5.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
38.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
15.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
21.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
7.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify114.0ms

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06335924
134305316
250015249

prune462.0ms

Filtered
346 candidates to 151 candidates (43.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3460346
Fresh022
Picked011
Done011
Total3464350

Merged error: 0b

Counts
350 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
0.2b
(cbrt (/ (fabs (- x y)) (fabs y)))
0.2b
(cbrt (/ (fabs (- x y)) (fabs y)))
0.2b
(cbrt (/ (fabs (- x y)) (fabs y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
21.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
4.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
58.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
84.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
87.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02081976
18431849
250021792

prune356.0ms

Filtered
156 candidates to 118 candidates (75.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh011
Picked011
Done022
Total1564160

Merged error: 0b

Counts
160 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.0b
(exp (/ (fabs (- x y)) (fabs y)))
0.3b
(log (exp (/ (fabs (- x y)) (fabs y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×times-frac
26×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity
14×log-pow
5×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×log-prod associate-/r* div-inv associate-/l*
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num rem-exp-log
Counts
3 → 73
Calls
3 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))
7.0ms
(exp (/ (fabs (- x y)) (fabs y)))
4.0ms
(log (exp (/ (fabs (- x y)) (fabs y))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
22.0ms
(exp (/ (fabs (- x y)) (fabs y)))
8.0ms
(log (exp (/ (fabs (- x y)) (fabs y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0138567
1314522
2702521
31828521
45001521

prune156.0ms

Filtered
82 candidates to 59 candidates (72.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done033
Total82486

Merged error: 0b

Counts
86 → 4

regimes62.0ms

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
064

end0.0ms

sample342.0ms

Algorithm
intervals
Results
198.0ms9109×body80valid

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