Details

Time bar (total: 2.0s)

analyze43.0ms (2.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14

sample19.0ms (0.9%)

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

simplify33.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
079914
179914

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite15.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×times-frac associate-*r* associate-/l*
5×pow1
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 64
Calls

3 calls:

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

series17.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

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

simplify53.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04956527
14956527

prune164.0ms (8.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New631073
Fresh000
Picked101
Done000
Total641074

Merged error: 0.0b

Counts
74 → 10

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite18.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
144×times-frac
81×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
16×associate-/l*
12×add-exp-log add-cbrt-cube
9×div-inv
7×associate-/r*
5×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×prod-exp cbrt-unprod associate-/l/
Counts
2 → 133
Calls

2 calls:

7.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series11.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify62.0ms (3%)

Algorithm
1×egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
054631698

prune244.0ms (12.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1372139
Fresh279
Picked101
Done000
Total1409149

Merged error: 0.0b

Counts
149 → 9

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite20.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
16×associate-/l*
15×add-exp-log add-cbrt-cube
6×associate-*r* div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×associate-*l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls

3 calls:

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

series15.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ (/ 1.0 x) 9.0)

simplify68.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049451156
149451156

prune246.0ms (12.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh268
Picked011
Done000
Total1229131

Merged error: 0b

Counts
131 → 9

localize13.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (/ y 3.0) (/ 1 (sqrt x)))

rewrite27.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
69×add-sqr-sqrt
61×times-frac
44×*-un-lft-identity
40×add-cube-cbrt
34×add-exp-log
25×sqrt-prod
22×associate-*r* add-cbrt-cube
13×associate-*l*
12×div-exp
10×unswap-sqr
9×prod-exp
7×pow1 cbrt-undiv associate-/r*
6×associate-/l*
5×cbrt-unprod
4×div-inv
3×rec-exp pow-flip 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 136
Calls

3 calls:

14.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))
4.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series17.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))
6.0ms
(/ 1 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify73.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
052681147

prune224.0ms (11.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh167
Picked101
Done011
Total1468154

Merged error: 0b

Counts
154 → 8

regimes111.0ms (5.5%)

Accuracy

Total 0.2b remaining (89.6%)

Threshold costs 0.2b (89.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06315
16315

end0.0ms (0%)

sample496.0ms (24.5%)

Algorithm
1×intervals
Results
354.0ms8000×body80valid
4.0ms84×body80invalid

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