Details

Time bar (total: 2.6s)

analyze633.0ms

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

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms20×body80invalid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
012189
112189

prune10.0ms

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: 4.1b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 2.0 (* z (- y t)))
4.0b
(* x (/ 2.0 (* z (- y t))))

rewrite22.0ms

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

series29.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
15.0ms
(* x (/ 2.0 (* z (- y t))))

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05973663

prune112.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh101
Picked101
Done000
Total79887

Merged error: 0.0b

Counts
87 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.2b
(/ (* x 2.0) (* z (- y t)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×sub-neg flip3-- associate-/r/ flip-- add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 47
Calls
2 calls:
6.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
12.0ms
(/ (* x 2.0) (* z (- y t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04993412
14993412

prune70.0ms

Filtered
32 candidates to 53 candidates (-65.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh257
Picked011
Done000
Total52961

Merged error: 0.0b

Counts
61 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (/ 2.0 z) (- y t))
4.0b
(* x (/ (/ 2.0 z) (- y t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
8.0ms
(/ (/ 2.0 z) (- y t))
19.0ms
(* x (/ (/ 2.0 z) (- y t)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (/ 2.0 z) (- y t))
12.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050782485

prune214.0ms

Filtered
142 candidates to 199 candidates (-40.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1972199
Fresh167
Picked011
Done011
Total19810208

Merged error: 0b

Counts
208 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.2b
(/ (* x 2.0) (* (* (cbrt z) (cbrt z)) (* (- y t) (cbrt z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
33×add-cbrt-cube
21×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/ associate-/r/
1×flip3-- frac-2neg times-frac clear-num associate-/r* flip-- div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(/ (* x 2.0) (* (* (cbrt z) (cbrt z)) (* (- y t) (cbrt z))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)
16.0ms
(/ (* x 2.0) (* (* (cbrt z) (cbrt z)) (* (- y t) (cbrt z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04960539
14960539

prune52.0ms

Filtered
46 candidates to 80 candidates (-73.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh077
Picked011
Done022
Total801090

Merged error: 0b

Counts
90 → 10

regimes407.0ms

Accuracy

55.3% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.7b

bsearch21.0ms

Steps
ItersRangePoint
3
5.368595337193181e+54
7.244265239884634e+54
5.780635451093466e+54
8
-1.2165454995113243e-43
-8.757115514768505e-48
-8.036748866478436e-44

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03737
13737

end0.0ms

sample530.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid
26.0ms656×body80invalid

Profiling

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