Details

Time bar (total: 2.4s)

analyze57.0ms (2.3%)

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
0%74.9%25.1%4
12.5%62.4%25.1%5
31.2%31.2%37.6%6
37.5%25%37.6%7
40.6%15.6%43.8%8
42.9%11.7%45.4%9
44.1%7.4%48.5%10
45.1%5.7%49.3%11
45.6%3.6%50.8%12
46%2.8%51.2%13
46.2%1.8%52%14

sample19.0ms (0.8%)

Algorithm
1×intervals
Results
11.0ms256×body80valid
0.0ms3×body80nan
0.0ms3×body80invalid

simplify199.0ms (8.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (198.0ms)

IterNodesCost
0481914
1481914

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite27.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 82
Calls

4 calls:

12.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms
(+ y (/ 1.0 (* x 9.0)))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series24.0ms (1%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms
(* 3.0 (sqrt x))
4.0ms
(+ y (/ 1.0 (* x 9.0)))
2.0ms
(/ 1.0 (* x 9.0))

simplify26.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05384938

prune191.0ms (7.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New821294
Fresh000
Picked101
Done000
Total831295

Merged error: 0.0b

Counts
95 → 12

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (* x 9.0)) y)
0.2b
(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))
0.5b
(/ 1.0 (* x 9.0))

rewrite39.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
11×pow1
10×distribute-rgt-in add-cube-cbrt distribute-lft-in
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 92
Calls

4 calls:

13.0ms
(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))
13.0ms
(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
6.0ms
(+ (/ 1.0 (* x 9.0)) y)
5.0ms
(/ 1.0 (* x 9.0))

series29.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
11.0ms
(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))
4.0ms
(+ (/ 1.0 (* x 9.0)) y)
2.0ms
(/ 1.0 (* x 9.0))

simplify27.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
060261294

prune195.0ms (8.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1022104
Fresh2911
Picked101
Done000
Total10511116

Merged error: 0.0b

Counts
116 → 11

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (/ 1.0 x) 9.0) y)
0.2b
(* (sqrt x) (- (+ (/ (/ 1.0 x) 9.0) y) 1.0))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (* (sqrt x) (- (+ (/ (/ 1.0 x) 9.0) y) 1.0)))

rewrite73.0ms (3%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
13×associate-/l*
11×pow1
10×distribute-rgt-in distribute-lft-in
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×div-inv
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 141
Calls

4 calls:

25.0ms
(* 3.0 (* (sqrt x) (- (+ (/ (/ 1.0 x) 9.0) y) 1.0)))
22.0ms
(* (sqrt x) (- (+ (/ (/ 1.0 x) 9.0) y) 1.0))
15.0ms
(+ (/ (/ 1.0 x) 9.0) y)
6.0ms
(/ (/ 1.0 x) 9.0)

series31.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

16.0ms
(* 3.0 (* (sqrt x) (- (+ (/ (/ 1.0 x) 9.0) y) 1.0)))
10.0ms
(* (sqrt x) (- (+ (/ (/ 1.0 x) 9.0) y) 1.0))
4.0ms
(+ (/ (/ 1.0 x) 9.0) y)
2.0ms
(/ (/ 1.0 x) 9.0)

simplify49.0ms (2%)

Algorithm
1×egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049851923
149851923

prune463.0ms (19.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh01010
Picked011
Done000
Total15311164

Merged error: 0.0b

Counts
164 → 11

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1 x) (/ 1.0 9.0)) y)
0.2b
(* (sqrt x) (- (+ (* (/ 1 x) (/ 1.0 9.0)) y) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ (* (/ 1 x) (/ 1.0 9.0)) y) 1.0)))
0.4b
(* (/ 1 x) (/ 1.0 9.0))

rewrite51.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
45×add-sqr-sqrt
33×add-exp-log
26×*-un-lft-identity
25×times-frac
23×add-cbrt-cube
22×add-cube-cbrt associate-*l*
19×associate-*r*
13×pow1
12×prod-exp
10×distribute-rgt-in distribute-lft-in
8×div-exp cbrt-unprod unswap-sqr
7×associate-*r/
6×sub-neg associate--l+ add-log-exp
5×pow-prod-down
4×cbrt-undiv sqrt-prod
3×*-commutative
2×rec-exp flip3-- 1-exp flip-- div-inv
1×+-commutative frac-times flip3-+ associate-*l/ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 125
Calls

4 calls:

15.0ms
(* (sqrt x) (- (+ (* (/ 1 x) (/ 1.0 9.0)) y) 1.0))
14.0ms
(* 3.0 (* (sqrt x) (- (+ (* (/ 1 x) (/ 1.0 9.0)) y) 1.0)))
10.0ms
(* (/ 1 x) (/ 1.0 9.0))
7.0ms
(+ (* (/ 1 x) (/ 1.0 9.0)) y)

series27.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(* 3.0 (* (sqrt x) (- (+ (* (/ 1 x) (/ 1.0 9.0)) y) 1.0)))
10.0ms
(* (sqrt x) (- (+ (* (/ 1 x) (/ 1.0 9.0)) y) 1.0))
4.0ms
(+ (* (/ 1 x) (/ 1.0 9.0)) y)
2.0ms
(* (/ 1 x) (/ 1.0 9.0))

simplify31.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
055301565

prune205.0ms (8.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh099
Picked011
Done011
Total13711148

Merged error: 0.0b

Counts
148 → 11

regimes129.0ms (5.3%)

Accuracy

Total 0.4b remaining (90%)

Threshold costs 0.4b (90%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02514
12514

end0.0ms (0%)

sample480.0ms (19.8%)

Algorithm
1×intervals
Results
336.0ms8000×body80valid
6.0ms141×body80nan
3.0ms73×body80invalid

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