Details

Time bar (total: 2.6s)

analyze627.0ms

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

simplify57.0ms

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: 5.7b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 2.0 (* z (- y t)))
5.6b
(* 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))))

series26.0ms

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))))

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05973663

prune109.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New78785
Fresh101
Picked101
Done000
Total80787

Merged error: 0.0b

Counts
87 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
5.6b
(* x (/ (/ 2.0 z) (- y t)))

rewrite41.0ms

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))
23.0ms
(* x (/ (/ 2.0 z) (- y t)))

series19.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050782485

prune247.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1972199
Fresh246
Picked011
Done000
Total1997206

Merged error: 0b

Counts
206 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.7b
(/ (* 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)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* z (- y t))
12.0ms
(/ (* x 2.0) (* z (- y t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04993412
14993412

prune67.0ms

Filtered
31 candidates to 53 candidates (-71.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh145
Picked011
Done011
Total53760

Merged error: 0b

Counts
60 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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

series17.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04999979
14999979

prune91.0ms

Filtered
72 candidates to 101 candidates (-40.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New992101
Fresh224
Picked011
Done022
Total1017108

Merged error: 0b

Counts
108 → 7

regimes415.0ms

Accuracy

56.5% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03431
13431

end0.0ms

sample560.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
27.0ms660×body80invalid

Profiling

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