Details

Time bar (total: 5.2s)

analyze1.1s

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms102×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
037813
137813

prune16.0ms

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: 9.8b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.3b
(- (* x y) (* z (* 9.0 t)))
9.1b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(* z (* 9.0 t))
3.0ms
(- (* x y) (* z (* 9.0 t)))
7.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series33.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* z (* 9.0 t))
12.0ms
(- (* x y) (* z (* 9.0 t)))
18.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify32.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05500704

prune95.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57562
Fresh011
Picked101
Done000
Total58664

Merged error: 0.0b

Counts
64 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (* x (/ y a))) (* 4.5 (* z (/ t a))))
0.2b
(* 4.5 (* z (/ t a)))
4.8b
(* x (/ y a))
5.4b
(* z (/ t a))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×associate-*r*
23×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×pow1
12×associate-*r/
9×associate-*l* prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 98
Calls
4 calls:
8.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
6.0ms
(* x (/ y a))
6.0ms
(* z (/ t a))

series38.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* z (/ t a))))
6.0ms
(* 4.5 (* z (/ t a)))
5.0ms
(* x (/ y a))
5.0ms
(* z (/ t a))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05098973

prune148.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1037110
Fresh145
Picked101
Done000
Total10511116

Merged error: 0.0b

Counts
116 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* x (/ y a)))
0.0b
(- (* 0.5 (* x (/ y a))) (* (* z 4.5) (/ t a)))
4.8b
(* x (/ y a))
5.4b
(* (* z 4.5) (/ t a))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
27×associate-*r*
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
16×pow1
13×prod-exp cbrt-unprod
10×associate-*r/
7×associate-*l* pow-prod-down
6×add-log-exp
4×cbrt-undiv div-exp
3×*-commutative
2×div-inv unswap-sqr
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 99
Calls
4 calls:
6.0ms
(* 0.5 (* x (/ y a)))
6.0ms
(- (* 0.5 (* x (/ y a))) (* (* z 4.5) (/ t a)))
6.0ms
(* x (/ y a))
7.0ms
(* (* z 4.5) (/ t a))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 0.5 (* x (/ y a)))
26.0ms
(- (* 0.5 (* x (/ y a))) (* (* z 4.5) (/ t a)))
5.0ms
(* x (/ y a))
6.0ms
(* (* z 4.5) (/ t a))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049941032
149941032

prune138.0ms

Filtered
74 candidates to 111 candidates (-50.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1101111
Fresh1910
Picked101
Done000
Total11210122

Merged error: 0.0b

Counts
122 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ y a) (sqrt 0.5))
0.4b
(* (sqrt 0.5) (* x (* (/ y a) (sqrt 0.5))))
4.8b
(* x (* (/ y a) (sqrt 0.5)))
5.4b
(* (* z 4.5) (/ t a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
33×add-sqr-sqrt
25×pow1
23×add-cube-cbrt *-un-lft-identity associate-*l*
22×prod-exp cbrt-unprod
21×associate-*r*
20×times-frac
13×pow-prod-down
8×sqrt-prod
5×cbrt-undiv div-exp
4×associate-*r/ *-commutative add-log-exp unswap-sqr
3×associate-*l/
2×div-inv
Counts
4 → 118
Calls
4 calls:
7.0ms
(* (/ y a) (sqrt 0.5))
12.0ms
(* (sqrt 0.5) (* x (* (/ y a) (sqrt 0.5))))
7.0ms
(* x (* (/ y a) (sqrt 0.5)))
7.0ms
(* (* z 4.5) (/ t a))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ y a) (sqrt 0.5))
15.0ms
(* (sqrt 0.5) (* x (* (/ y a) (sqrt 0.5))))
9.0ms
(* x (* (/ y a) (sqrt 0.5)))
6.0ms
(* (* z 4.5) (/ t a))

simplify46.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050641052

prune148.0ms

Filtered
77 candidates to 130 candidates (-68.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1282130
Fresh279
Picked101
Done000
Total1319140

Merged error: 0.0b

Counts
140 → 9

regimes1.2s

Accuracy

86.7% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 8.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03555
13555

end0.0ms

analyze1.1s

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample816.0ms

Algorithm
intervals
Results
345.0ms8000×body80valid
135.0ms3199×body80invalid

Profiling

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