Details

Time bar (total: 2.9s)

analyze616.0ms

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

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms86×body80invalid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

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: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.2b
(* (+ x z) (/ (- x z) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 81
Calls
2 calls:
5.0ms
(/ (- x z) y)
15.0ms
(* (+ x z) (/ (- x z) y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x z) y)
11.0ms
(* (+ x z) (/ (- x z) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04986867
14986867

prune90.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New82587
Fresh101
Picked011
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x z))
0.2b
(* (+ x z) (/ 1 (/ y (- x z))))
0.3b
(/ 1 (/ y (- x z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
185×add-sqr-sqrt
175×*-un-lft-identity
121×add-cube-cbrt
68×associate-*r*
35×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp associate-*l*
3×cbrt-unprod add-log-exp
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 247
Calls
3 calls:
5.0ms
(/ y (- x z))
24.0ms
(* (+ x z) (/ 1 (/ y (- x z))))
9.0ms
(/ 1 (/ y (- x z)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ y (- x z))
11.0ms
(* (+ x z) (/ 1 (/ y (- x z))))
7.0ms
(/ 1 (/ y (- x z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050022914

prune225.0ms

Filtered
162 candidates to 256 candidates (-58.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2542256
Fresh224
Picked101
Done011
Total2575262

Merged error: 0b

Counts
262 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x z))
0.2b
(/ (+ x z) (/ y (- x z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
9×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 163
Calls
2 calls:
5.0ms
(/ y (- x z))
11.0ms
(/ (+ x z) (/ y (- x z)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ y (- x z))
11.0ms
(/ (+ x z) (/ y (- x z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049812547
149812547

prune129.0ms

Filtered
109 candidates to 169 candidates (-55.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh033
Picked011
Done011
Total1695174

Merged error: 0b

Counts
174 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ y (- x z))) (cbrt (/ y (- x z))))
6.5b
(cbrt (/ y (- x z)))
6.5b
(cbrt (/ y (- x z)))
6.5b
(cbrt (/ y (- x z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
171×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
30×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 198
Calls
4 calls:
22.0ms
(* (cbrt (/ y (- x z))) (cbrt (/ y (- x z))))
5.0ms
(cbrt (/ y (- x z)))
5.0ms
(cbrt (/ y (- x z)))
5.0ms
(cbrt (/ y (- x z)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (cbrt (/ y (- x z))) (cbrt (/ y (- x z))))
35.0ms
(cbrt (/ y (- x z)))
35.0ms
(cbrt (/ y (- x z)))
39.0ms
(cbrt (/ y (- x z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050852908

prune213.0ms

Filtered
153 candidates to 210 candidates (-37.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2100210
Fresh022
Picked011
Done022
Total2105215

Merged error: 0b

Counts
215 → 5

regimes258.0ms

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
02313
12313

end0.0ms

sample668.0ms

Algorithm
intervals
Results
330.0ms8000×body80valid
119.0ms2943×body80invalid

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