Details

Time bar (total: 2.8s)

analyze626.0ms

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%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms105×body80invalid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0510013

prune10.0ms

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: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (* (+ x z) (/ (- x z) y)))
0.0b
(/ (- x z) y)
0.3b
(* (+ x z) (/ (- x z) y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l*
flip3-+ associate-/r* flip-+
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- distribute-lft-out
Counts
3 → 92
Calls
3 calls:
4.0ms
(+ y (* (+ x z) (/ (- x z) y)))
5.0ms
(/ (- x z) y)
15.0ms
(* (+ x z) (/ (- x z) y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ y (* (+ x z) (/ (- x z) y)))
6.0ms
(/ (- x z) y)
11.0ms
(* (+ x z) (/ (- x z) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050871084

prune113.0ms

Filtered
70 candidates to 101 candidates (-44.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New947101
Fresh101
Picked011
Done000
Total958103

Merged error: 0.0b

Counts
103 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
0.0b
(/ y (- x z))
0.3b
(* (+ x z) (/ 1 (/ y (- x z))))
0.4b
(/ 1 (/ y (- x z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
176×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
flip3-- flip--
pow1 cbrt-undiv prod-exp
associate-/l* add-log-exp
unswap-sqr
rec-exp 1-exp associate-*l*
flip3-+ cbrt-unprod flip-+
frac-times frac-2neg associate-*l/ clear-num
+-commutative pow-flip associate-*r/ pow-prod-down sum-log un-div-inv *-commutative distribute-lft-out inv-pow
Counts
4 → 258
Calls
4 calls:
4.0ms
(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
5.0ms
(/ y (- x z))
25.0ms
(* (+ x z) (/ 1 (/ y (- x z))))
11.0ms
(/ 1 (/ y (- x z)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
11.0ms
(/ y (- x z))
11.0ms
(* (+ x z) (/ 1 (/ y (- x z))))
7.0ms
(/ 1 (/ y (- x z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053123131

prune232.0ms

Filtered
172 candidates to 270 candidates (-57.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2691270
Fresh246
Picked101
Done011
Total2726278

Merged error: 0.0b

Counts
278 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (+ x z) (/ y (- x z))))
0.0b
(/ y (- x z))
0.3b
(/ (+ x z) (/ y (- x z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
164×*-un-lft-identity
118×add-sqr-sqrt
80×add-cube-cbrt
26×associate-/r*
23×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg flip3-+ clear-num flip-+ associate-/l/
+-commutative sum-log
Counts
3 → 175
Calls
3 calls:
25.0ms
(+ y (/ (+ x z) (/ y (- x z))))
5.0ms
(/ y (- x z))
14.0ms
(/ (+ x z) (/ y (- x z)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ y (/ (+ x z) (/ y (- x z))))
7.0ms
(/ y (- x z))
11.0ms
(/ (+ x z) (/ y (- x z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
049892775
149892775

prune138.0ms

Filtered
120 candidates to 184 candidates (-53.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1831184
Fresh134
Picked011
Done011
Total1846190

Merged error: 0.0b

Counts
190 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (* (+ x z) (* (- x z) (/ 1 y))))
0.3b
(* (- x z) (/ 1 y))
0.3b
(* (+ x z) (* (- x z) (/ 1 y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
20×frac-times
17×*-un-lft-identity add-cbrt-cube
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1 associate-*r/ associate-*l/
associate-*l*
flip3-- flip3-+ flip-- flip-+
cbrt-unprod
add-log-exp
div-exp pow-prod-down un-div-inv
unswap-sqr
cbrt-undiv rec-exp 1-exp *-commutative
+-commutative sum-log div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 96
Calls
3 calls:
4.0ms
(+ y (* (+ x z) (* (- x z) (/ 1 y))))
10.0ms
(* (- x z) (/ 1 y))
15.0ms
(* (+ x z) (* (- x z) (/ 1 y)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ y (* (+ x z) (* (- x z) (/ 1 y))))
6.0ms
(* (- x z) (/ 1 y))
11.0ms
(* (+ x z) (* (- x z) (/ 1 y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049861209
149861209

prune89.0ms

Filtered
67 candidates to 105 candidates (-56.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done022
Total1056111

Merged error: 0.0b

Counts
111 → 6

regimes263.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02213
12213

end0.0ms

sample709.0ms

Algorithm
intervals
Results
346.0ms8000×body80valid
128.0ms2946×body80invalid

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