Details

Time bar (total: 5.2s)

analyze183.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
12.5%43.7%43.8%7
12.5%43.7%43.8%8
25%28.1%47%9
28.1%20.3%51.6%10
28.1%20.3%51.6%11
34.3%13.3%52.4%12
35.9%9.8%54.4%13
35.9%9.8%54.4%14

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms12×body80invalid
0.0ms2×body80nan

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
0485512
1485512

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) z)
0.0b
(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
0.0b
(+ 1.0 (- (log z) z))
0.2b
(* y (+ 1.0 (- (log z) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
12×add-sqr-sqrt
11×add-log-exp
9×pow1
8×add-cube-cbrt
6×add-exp-log associate-+r+ log-prod associate-*r* associate--l+ add-cbrt-cube distribute-lft-out distribute-lft-out--
3×flip3-+ associate-*l* sum-log log-pow flip-+
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in diff-log associate-*r/
1×associate-+r- flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 75
Calls
4 calls:
4.0ms
(- (log z) z)
4.0ms
(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
6.0ms
(+ 1.0 (- (log z) z))
8.0ms
(* y (+ 1.0 (- (log z) z)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (log z) z)
14.0ms
(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
14.0ms
(+ 1.0 (- (log z) z))
13.0ms
(* y (+ 1.0 (- (log z) z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05004814

prune113.0ms

Filtered
58 candidates to 87 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New81687
Fresh000
Picked011
Done000
Total81788

Merged error: 0.0b

Counts
88 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log z) z)) (cbrt (- (log z) z)))
0.5b
(cbrt (- (log z) z))
0.5b
(cbrt (- (log z) z))
0.5b
(cbrt (- (log z) z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
12.0ms
(* (cbrt (- (log z) z)) (cbrt (- (log z) z)))
3.0ms
(cbrt (- (log z) z))
3.0ms
(cbrt (- (log z) z))
3.0ms
(cbrt (- (log z) z))

series55.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (- (log z) z)) (cbrt (- (log z) z)))
11.0ms
(cbrt (- (log z) z))
14.0ms
(cbrt (- (log z) z))
11.0ms
(cbrt (- (log z) z))

simplify52.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049812203
149812203

prune212.0ms

Filtered
86 candidates to 123 candidates (-43.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh145
Picked101
Done011
Total1246130

Merged error: 0.0b

Counts
130 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (log z) 2)
5.2b
(/ (* (cbrt (- (pow (log z) 2) (* z z))) (cbrt (- (pow (log z) 2) (* z z)))) (* (cbrt (+ z (log z))) (cbrt (+ z (log z)))))
12.4b
(cbrt (- (pow (log z) 2) (* z z)))
12.4b
(cbrt (- (pow (log z) 2) (* z z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
17×add-exp-log
14×cbrt-prod
12×add-sqr-sqrt
8×frac-times add-cube-cbrt flip3-- *-un-lft-identity associate-/r/ add-cbrt-cube flip-- associate-/l/ difference-of-squares
6×pow1 unpow-prod-down flip3-+ flip-+
4×cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow-unpow unpow2 sqr-pow
2×pow1/3
1×pow-to-exp pow-pow frac-2neg times-frac pow-exp clear-num associate-/r* log-pow div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
2.0ms
(pow (log z) 2)
26.0ms
(/ (* (cbrt (- (pow (log z) 2) (* z z))) (cbrt (- (pow (log z) 2) (* z z)))) (* (cbrt (+ z (log z))) (cbrt (+ z (log z)))))
5.0ms
(cbrt (- (pow (log z) 2) (* z z)))
5.0ms
(cbrt (- (pow (log z) 2) (* z z)))

series766.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow (log z) 2)
668.0ms
(/ (* (cbrt (- (pow (log z) 2) (* z z))) (cbrt (- (pow (log z) 2) (* z z)))) (* (cbrt (+ z (log z))) (cbrt (+ z (log z)))))
43.0ms
(cbrt (- (pow (log z) 2) (* z z)))
40.0ms
(cbrt (- (pow (log z) 2) (* z z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049495702
149495702

prune605.0ms

Filtered
82 candidates to 102 candidates (-24.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh044
Picked011
Done011
Total1026108

Merged error: 0.0b

Counts
108 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (/ (+ (pow 1.0 3) (pow (- (log z) z) 3)) (+ (* 1.0 1.0) (* (- (log z) z) (- (log z) (+ z 1.0))))))
0.3b
(* (- (log z) z) (- (log z) (+ z 1.0)))
0.4b
(pow (- (log z) z) 3)
18.0b
(/ (+ (pow 1.0 3) (pow (- (log z) z) 3)) (+ (* 1.0 1.0) (* (- (log z) z) (- (log z) (+ z 1.0)))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
282×*-un-lft-identity
103×times-frac
93×distribute-lft-out
90×unpow-prod-down cube-prod
70×add-sqr-sqrt
66×distribute-lft-out--
65×associate-*r*
55×add-cube-cbrt
42×pow1
33×log-pow
17×associate-/l*
14×add-exp-log add-cbrt-cube
9×associate-*l*
7×flip3-- sum-cubes flip--
6×log-prod associate--l+
4×distribute-rgt-in frac-times distribute-lft-in associate-/r/ add-log-exp difference-of-squares
3×pow-unpow flip3-+ associate-*r/ prod-exp associate-/r* cbrt-unprod flip-+ unswap-sqr
2×cbrt-undiv cube-div sub-neg div-exp pow-prod-down associate-*l/ *-commutative div-inv associate-/l/
1×cube-mult pow-to-exp pow-pow frac-2neg unpow3 pow-exp clear-num rem-cube-cbrt sqr-pow
Counts
4 → 236
Calls
4 calls:
35.0ms
(* y (/ (+ (pow 1.0 3) (pow (- (log z) z) 3)) (+ (* 1.0 1.0) (* (- (log z) z) (- (log z) (+ z 1.0))))))
14.0ms
(* (- (log z) z) (- (log z) (+ z 1.0)))
5.0ms
(pow (- (log z) z) 3)
24.0ms
(/ (+ (pow 1.0 3) (pow (- (log z) z) 3)) (+ (* 1.0 1.0) (* (- (log z) z) (- (log z) (+ z 1.0)))))

series568.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(* y (/ (+ (pow 1.0 3) (pow (- (log z) z) 3)) (+ (* 1.0 1.0) (* (- (log z) z) (- (log z) (+ z 1.0))))))
8.0ms
(* (- (log z) z) (- (log z) (+ z 1.0)))
8.0ms
(pow (- (log z) z) 3)
246.0ms
(/ (+ (pow 1.0 3) (pow (- (log z) z) 3)) (+ (* 1.0 1.0) (* (- (log z) z) (- (log z) (+ z 1.0)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0587512565

prune942.0ms

Filtered
122 candidates to 248 candidates (-103.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2471248
Fresh033
Picked011
Done022
Total2477254

Merged error: 0b

Counts
254 → 7

regimes268.0ms

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 (1.0ms)

IterNodesCost
02512
12512

end0.0ms

sample753.0ms

Algorithm
intervals
Results
556.0ms8000×body80valid
13.0ms306×body80invalid
3.0ms73×body80nan

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