Details

Time bar (total: 2.4s)

analyze675.0ms

Algorithm
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

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms28×body80invalid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
012189
112189

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 2.0 (* z (- y t)))
5.5b
(* x (/ 2.0 (* z (- y t))))

rewrite23.0ms

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

series27.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
13.0ms
(* x (/ 2.0 (* z (- y t))))

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05973663

prune107.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh101
Picked101
Done000
Total81687

Merged error: 0.0b

Counts
87 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

3.3b
(* (/ x z) (/ 2.0 (- y t)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
23×*-un-lft-identity
21×associate-*r*
17×add-cube-cbrt
13×add-exp-log associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1 distribute-lft-out-- difference-of-squares
2×associate-/r/ div-inv
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- add-log-exp
Counts
1 → 58
Calls
1 calls:
15.0ms
(* (/ x z) (/ 2.0 (- y t)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05417637

prune91.0ms

Filtered
42 candidates to 61 candidates (-45.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New57461
Fresh235
Picked101
Done000
Total60767

Merged error: 0b

Counts
67 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series87.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
24.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify34.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05228200

prune72.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done000
Total56763

Merged error: 0b

Counts
63 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ x z) 2.0)
3.2b
(/ (* (/ x z) 2.0) (- y t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
15×times-frac
13×associate-*l*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp cbrt-unprod
3×associate-*r*
2×associate-*l/ associate-/r/ div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
6.0ms
(* (/ x z) 2.0)
8.0ms
(/ (* (/ x z) 2.0) (- y t))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ x z) 2.0)
12.0ms
(/ (* (/ x z) 2.0) (- y t))

simplify34.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05401542

prune59.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh145
Picked011
Done011
Total68775

Merged error: 0b

Counts
75 → 7

regimes373.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02723
12723

end0.0ms

sample526.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid
24.0ms722×body80invalid

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