Details

Time bar (total: 3.6s)

analyze682.0ms

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
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0508513

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: 0.5b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (* y (/ t (* 2.0 z))))
0.2b
(/ t (* 2.0 z))
4.1b
(/ y (- z (* y (/ t (* 2.0 z)))))
4.2b
(* y (/ t (* 2.0 z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac
7×associate-*r*
6×pow1 associate-/l* add-log-exp
5×cbrt-undiv div-exp prod-exp cbrt-unprod
4×associate-/r*
3×associate-*l* div-inv
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
2.0ms
(- z (* y (/ t (* 2.0 z))))
4.0ms
(/ t (* 2.0 z))
4.0ms
(/ y (- z (* y (/ t (* 2.0 z)))))
6.0ms
(* y (/ t (* 2.0 z)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- z (* y (/ t (* 2.0 z))))
3.0ms
(/ t (* 2.0 z))
23.0ms
(/ y (- z (* y (/ t (* 2.0 z)))))
6.0ms
(* y (/ t (* 2.0 z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050121070

prune125.0ms

Filtered
71 candidates to 100 candidates (-40.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh101
Picked101
Done000
Total984102

Merged error: 0.0b

Counts
102 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (/ t (* 2.0 z)))))
0.0b
(- (/ z y) (/ t (* 2.0 z)))
0.2b
(/ t (* 2.0 z))
0.5b
(/ 1 (- (/ z y) (/ t (* 2.0 z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
31×*-un-lft-identity
28×times-frac
17×add-cube-cbrt
13×add-exp-log difference-of-squares
11×add-cbrt-cube
8×add-log-exp
7×associate-/r* distribute-lft-out--
6×associate-/l*
5×pow1
4×div-exp
3×cbrt-undiv flip3-- associate-/r/ flip-- div-inv
2×sub-neg frac-2neg diff-log clear-num frac-sub
1×rec-exp pow-flip 1-exp prod-exp cbrt-unprod inv-pow
Counts
4 → 98
Calls
4 calls:
16.0ms
(- x (/ 1 (- (/ z y) (/ t (* 2.0 z)))))
9.0ms
(- (/ z y) (/ t (* 2.0 z)))
4.0ms
(/ t (* 2.0 z))
11.0ms
(/ 1 (- (/ z y) (/ t (* 2.0 z))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- x (/ 1 (- (/ z y) (/ t (* 2.0 z)))))
6.0ms
(- (/ z y) (/ t (* 2.0 z)))
3.0ms
(/ t (* 2.0 z))
7.0ms
(/ 1 (- (/ z y) (/ t (* 2.0 z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
067491510

prune125.0ms

Filtered
75 candidates to 110 candidates (-46.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done000
Total1104114

Merged error: 0.0b

Counts
114 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* 2.0 z))
0.2b
(* t (/ 1 (* 2.0 z)))
4.1b
(/ y (- z (* y (* t (/ 1 (* 2.0 z))))))
4.2b
(* y (* t (/ 1 (* 2.0 z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
34×add-cbrt-cube
31×prod-exp
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
15×times-frac
14×pow1
13×div-exp cbrt-unprod
8×associate-*r*
7×cbrt-undiv
6×rec-exp 1-exp associate-*l* associate-/l*
5×pow-prod-down
4×associate-*r/ associate-/r* add-log-exp
3×div-inv
2×pow-flip frac-2neg clear-num associate-/r/ un-div-inv *-commutative
1×flip3-- flip-- inv-pow unswap-sqr
Counts
4 → 117
Calls
4 calls:
5.0ms
(/ 1 (* 2.0 z))
7.0ms
(* t (/ 1 (* 2.0 z)))
4.0ms
(/ y (- z (* y (* t (/ 1 (* 2.0 z))))))
8.0ms
(* y (* t (/ 1 (* 2.0 z))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (* 2.0 z))
3.0ms
(* t (/ 1 (* 2.0 z)))
23.0ms
(/ y (- z (* y (* t (/ 1 (* 2.0 z))))))
6.0ms
(* y (* t (/ 1 (* 2.0 z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050781094

prune108.0ms

Filtered
74 candidates to 129 candidates (-74.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh022
Picked011
Done011
Total1294133

Merged error: 0.0b

Counts
133 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

4.2b
(* y (/ t (* 2.0 z)))
13.5b
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))
13.5b
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))
13.5b
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
30×add-sqr-sqrt times-frac
28×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×associate-*r*
6×pow1 associate-/r/
4×prod-exp cbrt-unprod div-inv add-log-exp
3×cbrt-div flip3-- pow1/3 associate-*l* flip--
2×cbrt-undiv div-exp
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 99
Calls
4 calls:
6.0ms
(* y (/ t (* 2.0 z)))
3.0ms
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))
3.0ms
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))
3.0ms
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* y (/ t (* 2.0 z)))
58.0ms
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))
58.0ms
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))
56.0ms
(cbrt (/ y (- z (* y (/ t (* 2.0 z))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049702157
149702157

prune287.0ms

Filtered
99 candidates to 111 candidates (-12.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done022
Total1114115

Merged error: 0.0b

Counts
115 → 4

regimes225.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms

analyze673.0ms

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
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample582.0ms

Algorithm
intervals
Results
389.0ms8000×body80valid

Profiling

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