Details

Time bar (total: 1.4s)

analyze57.0ms (4.2%)

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14

sample16.0ms (1.1%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
0.0ms6×body80invalid

simplify14.0ms (1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
03807
13807

prune8.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite8.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls

1 calls:

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

series7.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

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

simplify38.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05044220

prune49.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh011
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
3.8b
(* x (* y (- 1.0 y)))

rewrite14.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×distribute-rgt-in add-cube-cbrt distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 48
Calls

2 calls:

7.0ms
(* x (* y (- 1.0 y)))
6.0ms
(* y (- 1.0 y))

series11.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

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

simplify43.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04933399
14933399

prune77.0ms (5.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh033
Picked011
Done011
Total53659

Merged error: 0.0b

Counts
59 → 6

localize14.0ms (1%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* 1.0 y))
3.1b
(* x (- (* y (pow 1.0 3)) (pow y 4)))
10.7b
(/ (* x (- (* y (pow 1.0 3)) (pow y 4))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite27.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1 add-log-exp
4×associate-*r/
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv sub-neg flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative distribute-rgt-in distribute-rgt-out frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 59
Calls

3 calls:

14.0ms
(/ (* x (- (* y (pow 1.0 3)) (pow y 4))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
8.0ms
(* x (- (* y (pow 1.0 3)) (pow y 4)))
4.0ms
(+ (* y y) (* 1.0 y))

series55.0ms (4%)

Counts
3 → 9
Calls

3 calls:

32.0ms
(/ (* x (- (* y (pow 1.0 3)) (pow y 4))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
17.0ms
(* x (- (* y (pow 1.0 3)) (pow y 4)))
5.0ms
(+ (* y y) (* 1.0 y))

simplify38.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050351053

prune149.0ms (10.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done022
Total68674

Merged error: 0.0b

Counts
74 → 6

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.1b
(* y (+ (sqrt 1.0) (sqrt y)))
0.1b
(* (* x (* y (+ (sqrt 1.0) (sqrt y)))) (- (sqrt 1.0) (sqrt y)))
1.2b
(* x (* y (+ (sqrt 1.0) (sqrt y))))

rewrite35.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
20×associate-*r/
19×pow1 add-exp-log add-cbrt-cube
17×add-sqr-sqrt
15×*-un-lft-identity associate-*r*
10×pow-prod-down prod-exp cbrt-unprod
8×sqrt-prod
7×add-cube-cbrt associate-*l*
6×distribute-rgt-in distribute-lft-in
5×flip3-+ flip-+
4×frac-times difference-of-squares
3×flip3-- *-commutative flip-- add-log-exp
2×sub-neg associate-*l/ distribute-lft-out distribute-lft-out--
1×unswap-sqr
Counts
3 → 85
Calls

3 calls:

16.0ms
(* (* x (* y (+ (sqrt 1.0) (sqrt y)))) (- (sqrt 1.0) (sqrt y)))
9.0ms
(* x (* y (+ (sqrt 1.0) (sqrt y))))
8.0ms
(* y (+ (sqrt 1.0) (sqrt y)))

series40.0ms (2.9%)

Counts
3 → 9
Calls

3 calls:

22.0ms
(* (* x (* y (+ (sqrt 1.0) (sqrt y)))) (- (sqrt 1.0) (sqrt y)))
13.0ms
(* x (* y (+ (sqrt 1.0) (sqrt y))))
5.0ms
(* y (+ (sqrt 1.0) (sqrt y)))

simplify55.0ms (4%)

Algorithm
1×egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049671095
149671095

prune157.0ms (11.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New93194
Fresh022
Picked011
Done033
Total937100

Merged error: 0.0b

Counts
100 → 7

regimes145.0ms (10.5%)

Accuracy

Total 0.1b remaining (72.8%)

Threshold costs 0.1b (72.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms (0%)

sample302.0ms (22%)

Algorithm
1×intervals
Results
175.0ms8000×body80valid
4.0ms188×body80invalid

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