Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.7b
(/ x (* (- y z) (- y t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
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
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))
9.0ms
(/ x (* (- y z) (- y t)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- y z) (- y t))
60.0ms
(/ x (* (- y z) (- y t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0304403
11399360
25002360

prune151.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0b

Counts
70 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
prod-exp cbrt-unprod
cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
pow1 unswap-sqr
associate-/r/ add-log-exp
pow1/3
flip3-- flip-- div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
42.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
182.0ms
(cbrt x)
182.0ms
(cbrt x)
82.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05331044
12673853
25001794

prune294.0ms

Filtered
122 candidates to 93 candidates (76.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1211122
Fresh145
Picked101
Done000
Total1235128

Merged error: 0b

Counts
128 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.6b
(/ 1 (* (- y z) (- y t)))
5.5b
(* x (/ 1 (* (- y z) (- y t))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
20×associate-*r*
19×add-cbrt-cube
18×add-sqr-sqrt flip3-- flip--
16×associate-/r/
14×*-un-lft-identity prod-exp
12×frac-times
10×pow1 add-cube-cbrt
div-exp associate-*l*
associate-*r/
times-frac associate-*l/ cbrt-unprod
cbrt-undiv rec-exp 1-exp
pow-prod-down associate-/l* add-log-exp
distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 110
Calls
3 calls:
9.0ms
(* (- y z) (- y t))
9.0ms
(/ 1 (* (- y z) (- y t)))
14.0ms
(* x (/ 1 (* (- y z) (- y t))))

series148.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (- y z) (- y t))
65.0ms
(/ 1 (* (- y z) (- y t)))
56.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0428685
12242594
25001584

prune212.0ms

Filtered
119 candidates to 75 candidates (63.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh044
Picked011
Done000
Total1195124

Merged error: 0b

Counts
124 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
12.0ms
(/ (/ x (- y z)) (- y t))

series92.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- y z))
63.0ms
(/ (/ x (- y z)) (- y t))

simplify63.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06401735
123171691
250021691

prune357.0ms

Filtered
191 candidates to 129 candidates (67.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh033
Picked011
Done011
Total1915196

Merged error: 0b

Counts
196 → 5

regimes109.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample510.0ms

Algorithm
intervals
Results
301.0ms8402×body80valid

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