Details

Time bar (total: 3.5s)

analyze481.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms22×body80invalid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.2b
(/ x (* (- y z) (- y t)))

rewrite19.0ms

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) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- y z) (- y t))
20.0ms
(/ x (* (- y z) (- y t)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0304403
11399360
25002360

prune82.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New66369
Fresh000
Picked011
Done000
Total66470

Merged error: 0.0b

Counts
70 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.4b
(/ (/ x (- y z)) (- y t))

rewrite29.0ms

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))
11.0ms
(/ (/ x (- y z)) (- y t))

series24.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
18.0ms
(/ (/ x (- y z)) (- y t))

simplify62.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06401735
123171691
250021691

prune147.0ms

Filtered
128 candidates to 191 candidates (-49.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh112
Picked011
Done011
Total1914195

Merged error: 0b

Counts
195 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.0b
(/ 1 (- y z))
2.0b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite35.0ms

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 (- y t))
5.0ms
(/ 1 (- y z))
18.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- y t))
4.0ms
(/ 1 (- y z))
32.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0522907
12258796
25001756

prune122.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh011
Picked011
Done022
Total1594163

Merged error: 0b

Counts
163 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.6b
(* (/ (/ 1 (sqrt (- y z))) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (sqrt (- y z))) (cbrt (- y t))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
609×times-frac
482×add-sqr-sqrt
338×*-un-lft-identity
246×associate-*r*
204×add-cube-cbrt
183×cbrt-prod
161×sqrt-prod
127×add-exp-log
63×div-exp
60×distribute-lft-out-- difference-of-squares
51×add-cbrt-cube
42×associate-*l* unswap-sqr
39×prod-exp
33×cbrt-undiv
28×associate-/r/
21×cbrt-unprod
20×cbrt-div
19×flip3-- flip--
18×sqrt-div
11×div-inv
6×pow1 rec-exp 1-exp
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 429
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
173.0ms
(* (/ (/ 1 (sqrt (- y z))) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (sqrt (- y z))) (cbrt (- y t))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y t))
25.0ms
(cbrt (- y t))
25.0ms
(cbrt (- y t))
38.0ms
(* (/ (/ 1 (sqrt (- y z))) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (sqrt (- y z))) (cbrt (- y t))))

simplify104.0ms

Algorithm
egg-herbie
Counts
441 → 441
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
022718187
150017701

prune380.0ms

Filtered
259 candidates to 441 candidates (-70.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4410441
Fresh000
Picked011
Done033
Total4414445

Merged error: 0b

Counts
445 → 4

regimes407.0ms

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
0105

end0.0ms

analyze475.0ms

Algorithm
search

sample529.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid
15.0ms413×body80invalid

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