Details

Time bar (total: 3.2s)

analyze912.0ms (28.9%)

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
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample26.0ms (0.8%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
2.0ms67×body80invalid

simplify37.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
07189
17189

prune12.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite18.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 60
Calls

3 calls:

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

series33.0ms (1%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(/ (* y (- z t)) a)
7.0ms
(* y (- z t))

simplify37.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05000603

prune105.0ms (3.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0b

Counts
70 → 5

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- t z)))
6.3b
(* (/ y a) (- t z))

rewrite16.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls

2 calls:

11.0ms
(* (/ y a) (- t z))
3.0ms
(+ x (* (/ y a) (- t z)))

series28.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(+ x (* (/ y a) (- t z)))
13.0ms
(* (/ y a) (- t z))

simplify34.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05011583

prune79.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh044
Picked011
Done000
Total59564

Merged error: 0b

Counts
64 → 5

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
7.4b
(/ y (/ a (- z t)))

rewrite44.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 154
Calls

3 calls:

21.0ms
(- x (/ y (/ a (- z t))))
9.0ms
(/ y (/ a (- z t)))
7.0ms
(/ a (- z t))

series35.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(- x (/ y (/ a (- z t))))
12.0ms
(/ y (/ a (- z t)))
7.0ms
(/ a (- z t))

simplify53.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049992110
149992110

prune168.0ms (5.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh123
Picked011
Done011
Total1635168

Merged error: 0b

Counts
168 → 5

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* a (/ 1 (- z t)))))
0.0b
(/ 1 (- z t))
0.3b
(* a (/ 1 (- z t)))
7.4b
(/ y (* a (/ 1 (- z t))))

rewrite33.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
49×add-sqr-sqrt
43×*-un-lft-identity
35×times-frac
32×add-exp-log
26×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
11×div-exp
8×prod-exp distribute-lft-out-- difference-of-squares
7×pow1
6×cbrt-undiv associate-/r* associate-/r/ associate-/l* add-log-exp
4×cbrt-unprod
3×rec-exp flip3-- 1-exp associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 125
Calls

4 calls:

10.0ms
(* a (/ 1 (- z t)))
8.0ms
(/ y (* a (/ 1 (- z t))))
6.0ms
(- x (/ y (* a (/ 1 (- z t)))))
5.0ms
(/ 1 (- z t))

series40.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

17.0ms
(- x (/ y (* a (/ 1 (- z t)))))
12.0ms
(/ y (* a (/ 1 (- z t))))
7.0ms
(* a (/ 1 (- z t)))
4.0ms
(/ 1 (- z t))

simplify39.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049391099
149391099

prune148.0ms (4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh022
Picked011
Done022
Total1375142

Merged error: 0b

Counts
142 → 5

regimes538.0ms (17%)

Accuracy

Total 1.3b remaining (98.6%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
031445
131445

end0.0ms (0%)

sample687.0ms (21.8%)

Algorithm
1×intervals
Results
275.0ms8000×body80valid
79.0ms2394×body80invalid

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