Details

Time bar (total: 2.0s)

analyze23.0ms (1.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample17.0ms (0.8%)

Algorithm
1×intervals
Results
10.0ms256×body80valid

simplify38.0ms (2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
07817
17817

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite9.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls

1 calls:

7.0ms
(/ (+ x y) (- x y))

series8.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(/ (+ x y) (- x y))

simplify43.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04959532
14959532

prune62.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite16.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls

4 calls:

5.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (+ x y))

series111.0ms (5.7%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(cbrt (+ x y))
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))

simplify67.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04869563
14869563

prune83.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done011
Total71475

Merged error: 0b

Counts
75 → 4

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite20.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls

4 calls:

9.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series130.0ms (6.7%)

Counts
4 → 12
Calls

4 calls:

38.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
32.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))

simplify42.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04881941
14881941

prune122.0ms (6.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111

Merged error: 0b

Counts
111 → 4

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.0b
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
0.2b
(/ (+ x y) (sqrt (- x y)))

rewrite70.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Rules
624×times-frac
582×*-un-lft-identity
422×add-sqr-sqrt
410×sqrt-prod
256×add-cube-cbrt
82×distribute-lft-out-- difference-of-squares
81×distribute-lft-out
42×associate-/l*
26×sqrt-div
22×associate-/r/
16×associate-/r*
13×flip3-- flip--
11×add-exp-log add-cbrt-cube div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-+ flip-+
Counts
4 → 461
Calls

4 calls:

20.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
8.0ms
(/ (+ x y) (sqrt (- x y)))
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))

series46.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

19.0ms
(/ (+ x y) (sqrt (- x y)))
9.0ms
(sqrt (- x y))
9.0ms
(sqrt (- x y))
8.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))

simplify130.0ms (6.7%)

Algorithm
1×egg-herbie
Counts
473 → 473
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
051479489

prune452.0ms (23.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4730473
Fresh000
Picked011
Done033
Total4734477

Merged error: 0b

Counts
477 → 4

regimes108.0ms (5.6%)

Accuracy

Total 0.0b remaining (39.4%)

Threshold costs 0.0b (39.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

end0.0ms (0%)

sample317.0ms (16.2%)

Algorithm
1×intervals
Results
184.0ms8000×body80valid

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