Details

Time bar (total: 3.9s)

analyze972.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.865246%

Guaranteed chance to sample good point: 75.015362%

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0ms12×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.9b
(/ 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 distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0300403
11371359
25001355

prune85.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
3.1b
(/ (/ x (- y z)) (- t z))

rewrite31.0ms

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 (- y z))
13.0ms
(/ (/ x (- y z)) (- t z))

series34.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune149.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1874191
Fresh235
Picked011
Done000
Total1898197

Merged error: 0b

Counts
197 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- t z))
3.2b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite36.0ms

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/ un-div-inv *-commutative inv-pow
Counts
3 → 151
Calls
3 calls:
5.0ms
(/ x (- y z))
5.0ms
(/ 1 (- t z))
20.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- y z))
4.0ms
(/ 1 (- t z))
29.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0527909
12194794
25001744

prune120.0ms

Filtered
96 candidates to 160 candidates (-66.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh066
Picked011
Done011
Total1608168

Merged error: 0b

Counts
168 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
3.3b
(* (/ 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
(/ x (- t z))
5.0ms
(/ 1 (- y z))
23.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series53.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- t z))
4.0ms
(/ 1 (- y z))
42.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0518907
12245796
25001756

prune100.0ms

Filtered
97 candidates to 159 candidates (-63.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh055
Picked011
Done022
Total1598167

Merged error: 0b

Counts
167 → 8

regimes489.0ms

Accuracy

54% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02723
12723

end0.0ms

analyze935.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.865246%

Guaranteed chance to sample good point: 75.015362%

sample442.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid
10.0ms367×body80invalid

Profiling

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