Details

Time bar (total: 4.3s)

analyze890.0ms (20.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14

sample40.0ms (0.9%)

Algorithm
1×intervals
Results
12.0ms256×body80valid
8.0ms185×body80invalid

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04815
14815

prune11.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.6b

Counts
2 → 2

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.7b
(* x (/ x (* y y)))
4.9b
(* z (/ z (* t t)))
10.5b
(/ x (* y y))
11.6b
(/ z (* t t))

rewrite24.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 98
Calls

4 calls:

6.0ms
(* z (/ z (* t t)))
6.0ms
(* x (/ x (* y y)))
4.0ms
(/ z (* t t))
4.0ms
(/ x (* y y))

series21.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

6.0ms
(* z (/ z (* t t)))
5.0ms
(* x (/ x (* y y)))
5.0ms
(/ z (* t t))
5.0ms
(/ x (* y y))

simplify50.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05409716

prune192.0ms (4.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9911110
Fresh011
Picked101
Done000
Total10012112

Merged error: 1.8b

Counts
112 → 12

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
3.7b
(* x (/ x (* y y)))
10.5b
(/ x (* y y))

rewrite33.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
20×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×associate-*r/ div-inv add-log-exp unswap-sqr
3×frac-add associate-/l*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up flip-+
Counts
4 → 130
Calls

4 calls:

10.0ms
(* (/ z t) (/ z t))
7.0ms
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
6.0ms
(* x (/ x (* y y)))
4.0ms
(/ x (* y y))

series44.0ms (1%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
8.0ms
(* x (/ x (* y y)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(/ x (* y y))

simplify46.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
054971196

prune252.0ms (5.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1339142
Fresh6511
Picked101
Done000
Total14014154

Merged error: 0.0b

Counts
154 → 14

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite32.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls

3 calls:

9.0ms
(* (/ z t) (/ z t))
9.0ms
(* (/ x y) (/ x y))
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))

series37.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

26.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify50.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049901511
149901511

prune239.0ms (5.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1567163
Fresh5813
Picked101
Done000
Total16215177

Merged error: 0.0b

Counts
177 → 15

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.1b
(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ z t) (/ z (cbrt t))))

rewrite26.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
155×add-exp-log
78×prod-exp
57×add-cbrt-cube
48×div-exp
32×cbrt-unprod
22×cbrt-undiv
10×rec-exp 1-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 108
Calls

4 calls:

17.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ z t) (/ z (cbrt t))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series78.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(cbrt t)
21.0ms
(cbrt t)
21.0ms
(cbrt t)
11.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ z t) (/ z (cbrt t))))

simplify75.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04931785
14931785

prune131.0ms (3.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh01414
Picked011
Done000
Total12015135

Merged error: 0.0b

Counts
135 → 15

regimes683.0ms (16.1%)

Accuracy

Total 1.6b remaining (96.9%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04259
14259

end0.0ms (0%)

sample1.3s (29.5%)

Algorithm
1×intervals
Results
500.0ms6030×body80invalid
366.0ms8000×body80valid

Profiling

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