Details

Time bar (total: 2.2s)

analyze124.0ms (5.6%)

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
0%99.9%0.1%4
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample16.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms11×body80invalid

simplify99.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
0510811

prune8.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite29.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls

2 calls:

16.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))

series15.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify63.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049531112
149531112

prune153.0ms (6.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82587
Fresh011
Picked011
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite21.0ms (0.9%)

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:

10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series25.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))

simplify61.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
052221033

prune260.0ms (11.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done011
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
7.0b
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

rewrite60.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
51×*-un-lft-identity
34×associate-*r*
30×cbrt-div
28×cbrt-prod times-frac
25×add-exp-log
23×add-sqr-sqrt add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times flip3-+ flip-+
14×distribute-lft-out
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 117
Calls

4 calls:

37.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))

series112.0ms (5%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(cbrt (+ (/ x y) 1.0))
34.0ms
(cbrt (+ (/ x y) 1.0))
33.0ms
(cbrt (+ (/ x y) 1.0))
8.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

simplify91.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049272307
149272307

prune317.0ms (14.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1272129
Fresh044
Picked011
Done112
Total1288136

Merged error: 0b

Counts
136 → 8

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
11.6b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite22.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls

2 calls:

12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
9.0ms
(* x (+ (/ x y) 1.0))

series11.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))
4.0ms
(* x (+ (/ x y) 1.0))

simplify48.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04968591
14968591

prune74.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh145
Picked011
Done022
Total56864

Merged error: 0b

Counts
64 → 8

regimes161.0ms (7.2%)

Accuracy

Total 0.1b remaining (76%)

Threshold costs 0.1b (76%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01111
11111

end0.0ms (0%)

sample425.0ms (19%)

Algorithm
1×intervals
Results
271.0ms8000×body80valid
9.0ms283×body80invalid

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