Details

Time bar (total: 5.4s)

analyze1.3s

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
0%99.8%0.2%11
0%99.8%0.2%12
3.7%96.1%0.2%13
4.2%94.5%1.3%14

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
4.0ms75×body80invalid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.4b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
8.0ms
(* (* z 2.0) (- 1.0 t))
11.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series30.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (* z 2.0) (- 1.0 t))
14.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415543
11753476
25001473

prune107.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0b

Counts
72 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.1b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*l*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube add-log-exp
4×pow1 associate-+r+ associate-*r* prod-exp
3×flip3-+ flip-+ unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp frac-add associate--l+ sum-log cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 62
Calls
2 calls:
17.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
14.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series20.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
6.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0489525
12096469
25001452

prune104.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh224
Picked011
Done000
Total68573

Merged error: 0b

Counts
73 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
0.6b
(/ 1 (* t z))
10.4b
(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
23×add-cbrt-cube
16×prod-exp
14×pow1 add-sqr-sqrt
12×*-un-lft-identity associate-*r*
10×add-cube-cbrt
8×div-exp cbrt-unprod
6×times-frac frac-add add-log-exp
5×flip3-+ pow-prod-down flip-+
4×cbrt-undiv frac-times rec-exp 1-exp associate-*r/ associate-*l* associate-*l/
3×associate-/l*
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in un-div-inv *-commutative div-inv
1×+-commutative flip3-- frac-2neg clear-num associate-/r* sum-log flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 107
Calls
4 calls:
8.0ms
(* (* z 2.0) (- 1.0 t))
9.0ms
(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
5.0ms
(/ 1 (* t z))
9.0ms
(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* z 2.0) (- 1.0 t))
14.0ms
(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
2.0ms
(/ 1 (* t z))
10.0ms
(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0592902
12780802
25001792

prune128.0ms

Filtered
70 candidates to 119 candidates (-70.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh033
Picked011
Done011
Total1195124

Merged error: 0b

Counts
124 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0))
0.1b
(* t (- (/ 2.0 z) 2.0))
0.3b
(* (/ 2.0 z) (/ 2.0 z))
12.1b
(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
45×times-frac
43×*-un-lft-identity
36×add-cube-cbrt
23×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
9×add-log-exp
6×cbrt-undiv div-exp prod-exp cbrt-unprod
5×associate-*r/ div-inv unswap-sqr
4×flip3-- flip-- associate-/l* difference-of-squares
3×sub-neg
2×distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down frac-add sum-log associate-/r/ *-commutative associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative pow2 frac-times associate-+r- frac-2neg flip3-+ pow-plus diff-log div-sub associate-*l/ clear-num associate-/r* pow-sqr pow-prod-up flip-+
Counts
4 → 141
Calls
4 calls:
23.0ms
(+ (/ x y) (- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0))
10.0ms
(* t (- (/ 2.0 z) 2.0))
10.0ms
(* (/ 2.0 z) (/ 2.0 z))
17.0ms
(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (/ x y) (- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0))
5.0ms
(* t (- (/ 2.0 z) 2.0))
3.0ms
(* (/ 2.0 z) (/ 2.0 z))
13.0ms
(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
07691290
137281107
250011080

prune218.0ms

Filtered
103 candidates to 153 candidates (-48.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh022
Picked011
Done022
Total1535158

Merged error: 0b

Counts
158 → 5

regimes341.0ms

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
0187
1187

end0.0ms

analyze1.6s

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
0%99.8%0.2%11
0%99.8%0.2%12
3.7%96.1%0.2%13
4.2%94.5%1.3%14

sample815.0ms

Algorithm
intervals
Results
417.0ms8000×body80valid
119.0ms2270×body80invalid

Profiling

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