Details

Time bar (total: 3.2s)

analyze446.0ms

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
0%99.8%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms8×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0139
1139

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.9b
(/ x (* (- y z) (- t z)))

rewrite20.0ms

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:
9.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
27.0ms
(/ x (* (- y z) (- t z)))

simplify27.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05232734

prune101.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh000
Picked101
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.5b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
20.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series88.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ 1 (- y z))
13.0ms
(/ x (- t z))
68.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
053271513

prune146.0ms

Filtered
101 candidates to 159 candidates (-57.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1572159
Fresh246
Picked011
Done000
Total1597166

Merged error: 0.0b

Counts
166 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.5b
(/ (/ x (- t z)) (- y z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
12.0ms
(/ (/ x (- t z)) (- y z))

series37.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- t z))
30.0ms
(/ (/ x (- t z)) (- y z))

simplify50.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050083096

prune159.0ms

Filtered
129 candidates to 191 candidates (-48.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1892191
Fresh145
Picked011
Done101
Total1917198

Merged error: 0b

Counts
198 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x (- t z))) (cbrt (/ x (- t z))))
15.0b
(cbrt (/ x (- t z)))
15.0b
(cbrt (/ x (- t z)))
15.0b
(cbrt (/ x (- t z)))

rewrite70.0ms

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:
41.0ms
(* (cbrt (/ x (- t z))) (cbrt (/ x (- t z))))
5.0ms
(cbrt (/ x (- t z)))
5.0ms
(cbrt (/ x (- t z)))
5.0ms
(cbrt (/ x (- t z)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (cbrt (/ x (- t z))) (cbrt (/ x (- t z))))
41.0ms
(cbrt (/ x (- t z)))
42.0ms
(cbrt (/ x (- t z)))
46.0ms
(cbrt (/ x (- t z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049382970
149382970

prune193.0ms

Filtered
156 candidates to 210 candidates (-34.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2100210
Fresh055
Picked011
Done011
Total2107217

Merged error: 0b

Counts
217 → 7

regimes428.0ms

Accuracy

36.6% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441
12441

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
0%99.8%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample472.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
13.0ms417×body80invalid

Profiling

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