Details

Time bar (total: 3.2s)

analyze543.0ms

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
12.5%87.3%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
43.7%56.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms11×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01511
11511

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
6.2b
(/ x (* (- y z) (- y t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 61
Calls
2 calls:
16.0ms
(* (- y z) (- y t))
12.0ms
(/ x (* (- y z) (- y t)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- y t))
32.0ms
(/ x (* (- y z) (- y t)))

simplify26.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05096732

prune95.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668

Merged error: 0b

Counts
68 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.6b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
28×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×div-exp distribute-lft-out-- difference-of-squares
8×prod-exp
6×associate-/r/ unswap-sqr
5×pow1 cbrt-undiv associate-/r*
4×cbrt-unprod
3×rec-exp flip3-- 1-exp flip-- div-inv associate-/l*
2×add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 113
Calls
2 calls:
5.0ms
(/ 1 (- y z))
21.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (- y z))
29.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049741170
149741170

prune107.0ms

Filtered
72 candidates to 119 candidates (-65.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh314
Picked101
Done011
Total1214125

Merged error: 0b

Counts
125 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

1.6b
(/ (/ x (- y t)) (- y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
21×associate-/l*
14×associate-/r/
7×flip3-- flip-- div-inv
6×add-exp-log add-cbrt-cube
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 148
Calls
1 calls:
11.0ms
(/ (/ x (- y t)) (- y z))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (/ x (- y t)) (- y z))

simplify47.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054092753

prune110.0ms

Filtered
101 candidates to 151 candidates (-49.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh022
Picked011
Done011
Total1514155

Merged error: 0b

Counts
155 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (- y t))) (/ (cbrt (/ x (- y t))) (- y z)))
12.1b
(cbrt (/ x (- y t)))
12.1b
(cbrt (/ x (- y t)))
12.1b
(cbrt (/ x (- y t)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
271×times-frac
258×add-sqr-sqrt
218×*-un-lft-identity
203×cbrt-prod
126×associate-*r*
116×add-cube-cbrt
51×distribute-lft-out-- difference-of-squares
24×associate-*l*
20×associate-/r/
12×unswap-sqr
10×flip3-- flip-- div-inv
9×add-exp-log
6×pow1 add-cbrt-cube
5×cbrt-div
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 268
Calls
4 calls:
67.0ms
(* (cbrt (/ x (- y t))) (/ (cbrt (/ x (- y t))) (- y z)))
5.0ms
(cbrt (/ x (- y t)))
5.0ms
(cbrt (/ x (- y t)))
5.0ms
(cbrt (/ x (- y t)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (cbrt (/ x (- y t))) (/ (cbrt (/ x (- y t))) (- y z)))
34.0ms
(cbrt (/ x (- y t)))
38.0ms
(cbrt (/ x (- y t)))
34.0ms
(cbrt (/ x (- y t)))

simplify106.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
050444630

prune234.0ms

Filtered
201 candidates to 280 candidates (-39.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2800280
Fresh011
Picked011
Done022
Total2804284

Merged error: 0b

Counts
284 → 4

regimes376.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11011

end0.0ms

analyze440.0ms

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
12.5%87.3%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
43.7%56.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample524.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
15.0ms401×body80invalid

Profiling

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