Details

Time bar (total: 2.7s)

analyze637.0ms

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

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms28×body80invalid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
012189
112189

prune11.0ms

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: 7.3b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.7b
(/ 2.0 (* z (- y t)))
7.2b
(* 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)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05973663

prune119.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New78785
Fresh011
Picked101
Done000
Total79887

Merged error: 0.0b

Counts
87 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.5b
(* (/ x z) (/ 2.0 (- y t)))

rewrite23.0ms

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))
14.0ms
(* (/ 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)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04999979
14999979

prune133.0ms

Filtered
73 candidates to 101 candidates (-38.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New974101
Fresh347
Picked101
Done000
Total1018109

Merged error: 0b

Counts
109 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ x z) 2.0)
4.4b
(/ (* (/ x z) 2.0) (- y t))

rewrite16.0ms

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

series15.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (/ x z) 2.0)
12.0ms
(/ (* (/ x z) 2.0) (- y t))

simplify34.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05401542

prune83.0ms

Filtered
49 candidates to 68 candidates (-38.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh257
Picked011
Done000
Total69776

Merged error: 0b

Counts
76 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
5.2b
(/ (* x (/ 2.0 (- y t))) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(* x (/ 2.0 (- y t)))
8.0ms
(/ (* x (/ 2.0 (- y t))) z)

series28.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
7.0ms
(* x (/ 2.0 (- y t)))
15.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04977935
14977935

prune98.0ms

Filtered
77 candidates to 110 candidates (-42.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh055
Picked011
Done011
Total1107117

Merged error: 0b

Counts
117 → 7

regimes583.0ms

Accuracy

77.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05541
15541

end0.0ms

sample549.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
30.0ms705×body80invalid

Profiling

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