Details

Time bar (total: 1.6s)

analyze66.0ms (4.3%)

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
12.5%87.4%0.1%4
31.2%68.7%0.1%5
43.7%56.2%0.1%6
56.2%40.6%3.2%7
64%29.7%6.3%8
71%20.3%8.7%9
75.3%15.2%9.5%10
79%10.1%10.8%11
81.3%7.7%11%12
83.2%5%11.8%13
84.4%3.8%11.8%14

sample12.0ms (0.8%)

Algorithm
1×intervals
Results
5.0ms256×body80valid
0.0ms2×body80invalid

simplify11.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
03007
13007

prune5.0ms (0.3%)

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 (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite13.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 32
Calls

2 calls:

6.0ms
(* (+ x 1.0) y)
6.0ms
(- (* (+ x 1.0) y) x)

series12.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify43.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05065302

prune57.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh000
Picked011
Done000
Total35439

Merged error: 0.0b

Counts
39 → 4

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.6b
(cbrt (* (+ x 1.0) y))
0.6b
(cbrt (* (+ x 1.0) y))
0.6b
(cbrt (* (+ x 1.0) y))

rewrite21.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls

4 calls:

6.0ms
(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
4.0ms
(cbrt (* (+ x 1.0) y))
4.0ms
(cbrt (* (+ x 1.0) y))
4.0ms
(cbrt (* (+ x 1.0) y))

series79.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
19.0ms
(cbrt (* (+ x 1.0) y))
17.0ms
(cbrt (* (+ x 1.0) y))
17.0ms
(cbrt (* (+ x 1.0) y))

simplify58.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05577977

prune186.0ms (12%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0.0b

Counts
88 → 4

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0)) x)
0.0b
(* y (- x 1.0))
0.1b
(* (+ x 1.0) (* y (- x 1.0)))
11.1b
(/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0))

rewrite47.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt *-un-lft-identity
18×associate-*r/
11×pow1
9×add-cube-cbrt flip3-- flip--
8×frac-times associate-/l/
7×sub-neg associate-*l* prod-exp cbrt-unprod
6×flip3-+ associate-*r* flip-+ add-log-exp
5×distribute-rgt-in distribute-lft-in times-frac associate-/r*
4×pow-prod-down associate-*l/ distribute-lft-out-- difference-of-squares
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative
1×frac-2neg diff-log clear-num div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 105
Calls

4 calls:

15.0ms
(- (/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0)) x)
14.0ms
(/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0))
10.0ms
(* (+ x 1.0) (* y (- x 1.0)))
6.0ms
(* y (- x 1.0))

series20.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(* (+ x 1.0) (* y (- x 1.0)))
5.0ms
(- (/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0)) x)
5.0ms
(/ (* (+ x 1.0) (* y (- x 1.0))) (- x 1.0))
4.0ms
(* y (- x 1.0))

simplify56.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049841174
149841174

prune169.0ms (10.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1161117
Fresh011
Picked011
Done022
Total1165121

Merged error: 0b

Counts
121 → 5

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(- (* (* (+ x 1.0) (sqrt y)) (sqrt y)) x)
0.1b
(* (+ x 1.0) (sqrt y))
0.2b
(* (* (+ x 1.0) (sqrt y)) (sqrt y))

rewrite26.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l/
5×associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ unswap-sqr
1×sub-neg flip3-- diff-log flip-- distribute-lft-out
Counts
3 → 59
Calls

3 calls:

9.0ms
(- (* (* (+ x 1.0) (sqrt y)) (sqrt y)) x)
9.0ms
(* (* (+ x 1.0) (sqrt y)) (sqrt y))
7.0ms
(* (+ x 1.0) (sqrt y))

series17.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(- (* (* (+ x 1.0) (sqrt y)) (sqrt y)) x)
5.0ms
(* (+ x 1.0) (sqrt y))
5.0ms
(* (* (+ x 1.0) (sqrt y)) (sqrt y))

simplify41.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04945583
14945583

prune121.0ms (7.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done033
Total68573

Merged error: 0b

Counts
73 → 5

regimes171.0ms (11%)

Accuracy

Total 0.0b remaining (51.9%)

Threshold costs 0.0b (51.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1187

end0.0ms (0%)

sample291.0ms (18.7%)

Algorithm
1×intervals
Results
169.0ms7999×body80valid
1.0ms73×body80invalid
0.0ms1×body160valid

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