Details

Time bar (total: 3.9s)

analyze1.1s (27.2%)

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
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14

sample22.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
1.0ms16×body80invalid

simplify134.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (132.0ms)

IterNodesCost
0490011
1490011

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 12.0b

Counts
2 → 1

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 54
Calls

3 calls:

6.0ms
(/ (- x (* y z)) (- t (* a z)))
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))

series33.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(/ (- x (* y z)) (- t (* a z)))
7.0ms
(- t (* a z))
6.0ms
(- x (* y z))

simplify43.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05502755

prune120.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New54963
Fresh000
Picked101
Done000
Total55964

Merged error: 11.7b

Counts
64 → 9

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* z a))
0.5b
(/ 1 (- t (* z a)))
11.6b
(* (- x (* y z)) (/ 1 (- t (* z a))))

rewrite25.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 97
Calls

4 calls:

12.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))
4.0ms
(/ 1 (- t (* z a)))
3.0ms
(- t (* z a))
3.0ms
(- x (* y z))

series44.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))
11.0ms
(/ 1 (- t (* z a)))
7.0ms
(- x (* y z))
7.0ms
(- t (* z a))

simplify50.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
058621152

prune166.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh088
Picked011
Done000
Total10711118

Merged error: 11.7b

Counts
118 → 11

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* z a))
0.5b
(/ 1 (/ (- t (* z a)) (- x (* y z))))
11.6b
(/ (- t (* z a)) (- x (* y z)))

rewrite25.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 138
Calls

4 calls:

8.0ms
(/ 1 (/ (- t (* z a)) (- x (* y z))))
6.0ms
(/ (- t (* z a)) (- x (* y z)))
3.0ms
(- x (* y z))
3.0ms
(- t (* z a))

series76.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

40.0ms
(/ 1 (/ (- t (* z a)) (- x (* y z))))
23.0ms
(/ (- t (* z a)) (- x (* y z)))
7.0ms
(- t (* z a))
6.0ms
(- x (* y z))

simplify47.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051922492

prune201.0ms (5.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1491150
Fresh189
Picked011
Done101
Total15110161

Merged error: 11.7b

Counts
161 → 10

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.3b
(/ 1 (- x (* y z)))
0.5b
(/ 1 (- t (* z a)))
11.5b
(/ (/ 1 (- t (* z a))) (/ 1 (- x (* y z))))

rewrite49.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- flip-- div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 364
Calls

4 calls:

15.0ms
(/ (/ 1 (- t (* z a))) (/ 1 (- x (* y z))))
4.0ms
(/ 1 (- x (* y z)))
4.0ms
(/ 1 (- t (* z a)))
3.0ms
(- t (* z a))

series68.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

40.0ms
(/ (/ 1 (- t (* z a))) (/ 1 (- x (* y z))))
11.0ms
(/ 1 (- t (* z a)))
11.0ms
(/ 1 (- x (* y z)))
7.0ms
(- t (* z a))

simplify85.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050188723

prune551.0ms (14%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3760376
Fresh088
Picked011
Done011
Total37610386

Merged error: 11.7b

Counts
386 → 10

regimes460.0ms (11.7%)

Accuracy

Total 0.5b remaining (4.3%)

Threshold costs 0.5b (4.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05915
15915

end0.0ms (0%)

sample609.0ms (15.4%)

Algorithm
1×intervals
Results
302.0ms8000×body80valid
33.0ms706×body80invalid

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