Details

Time bar (total: 2.8s)

analyze654.0ms (23%)

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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14

sample25.0ms (0.9%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
0.0ms12×body80invalid

simplify62.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
012189
112189

prune10.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 2

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 2.0 (* z (- y t)))
6.3b
(* x (/ 2.0 (* z (- y t))))

rewrite23.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×sub-neg pow-prod-down *-commutative div-inv unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls

3 calls:

9.0ms
(* x (/ 2.0 (* z (- y t))))
6.0ms
(/ 2.0 (* z (- y t)))
6.0ms
(* z (- y t))

series28.0ms (1%)

Counts
3 → 9
Calls

3 calls:

13.0ms
(* x (/ 2.0 (* z (- y t))))
8.0ms
(/ 2.0 (* z (- y t)))
7.0ms
(* z (- y t))

simplify50.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05973663

prune135.0ms (4.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh011
Picked011
Done000
Total80787

Merged error: 0.0b

Counts
87 → 7

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
5.5b
(* (/ x z) (/ 2.0 (- y t)))

rewrite22.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 95
Calls

2 calls:

13.0ms
(* (/ x z) (/ 2.0 (- y t)))
5.0ms
(/ 2.0 (- y t))

series18.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

13.0ms
(* (/ x z) (/ 2.0 (- y t)))
5.0ms
(/ 2.0 (- y t))

simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04999979
14999979

prune150.0ms (5.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New983101
Fresh145
Picked101
Done101
Total1017108

Merged error: 0b

Counts
108 → 7

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
4.7b
(/ (* x (/ 2.0 (- y t))) z)

rewrite27.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls

3 calls:

9.0ms
(* x (/ 2.0 (- y t)))
8.0ms
(/ (* x (/ 2.0 (- y t))) z)
7.0ms
(/ 2.0 (- y t))

series30.0ms (1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(/ (* x (/ 2.0 (- y t))) z)
8.0ms
(* x (/ 2.0 (- y t)))
5.0ms
(/ 2.0 (- y t))

simplify53.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04977935
14977935

prune153.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh336
Picked011
Done000
Total1116117

Merged error: 0b

Counts
117 → 6

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- y t))
4.7b
(/ (/ (* x 2.0) (- y t)) z)

rewrite18.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
10×associate-/r/
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
5×flip3-- flip--
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 91
Calls

2 calls:

9.0ms
(/ (/ (* x 2.0) (- y t)) z)
6.0ms
(/ (* x 2.0) (- y t))

series24.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(/ (/ (* x 2.0) (- y t)) z)
8.0ms
(/ (* x 2.0) (- y t))

simplify38.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
055291159

prune107.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done011
Total976103

Merged error: 0b

Counts
103 → 6

regimes566.0ms (19.9%)

Accuracy

Total 0.6b remaining (98.2%)

Threshold costs 0.6b (98.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06089
16089

end0.0ms (0%)

sample568.0ms (20%)

Algorithm
1×intervals
Results
308.0ms8000×body80valid
24.0ms669×body80invalid

Profiling

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