Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

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: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.8b
(/ x (* (- y z) (- y t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
frac-times associate-/r/
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
10.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) (- y t))
56.0ms
(/ x (* (- y z) (- y t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune156.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh000
Picked011
Done000
Total87592

Merged error: 0b

Counts
92 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(/ (* (- y z) (- y t)) (cbrt x))
6.0b
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×times-frac
18×cbrt-prod add-cbrt-cube
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-/r*
12×cbrt-undiv div-exp
associate-/l/
flip3-- prod-exp flip-- cbrt-unprod
pow1 expm1-log1p-u frac-times log1p-expm1-u div-inv add-log-exp
frac-2neg pow1/3 associate-*r/ associate-*l/ clear-num associate-/l*
associate-/r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(/ (* (- y z) (- y t)) (cbrt x))
13.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series570.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
178.0ms
(cbrt x)
137.0ms
(/ (* (- y z) (- y t)) (cbrt x))
82.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0535938
12770779
25001742

prune289.0ms

Filtered
121 candidates to 98 candidates (81.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done011
Total1215126

Merged error: 0b

Counts
126 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
12.0ms
(/ (/ x (- y z)) (- y t))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- y z))
60.0ms
(/ (/ x (- y z)) (- y t))

simplify70.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06481751
123351707
250031707

prune350.0ms

Filtered
195 candidates to 132 candidates (67.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1950195
Fresh022
Picked011
Done022
Total1955200

Merged error: 0b

Counts
200 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.0b
(/ 1 (- y z))
2.7b
(* (/ 1 (- y z)) (/ x (- y t)))

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*
prod-exp associate-/r/
pow1 cbrt-undiv associate-/l* unswap-sqr
flip3-- flip-- cbrt-unprod div-inv
expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
frac-2neg clear-num
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
6.0ms
(/ x (- y t))
5.0ms
(/ 1 (- y z))
19.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series203.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ x (- y t))
36.0ms
(/ 1 (- y z))
137.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0532932
12297821
25001789

prune254.0ms

Filtered
165 candidates to 104 candidates (63.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done033
Total1655170

Merged error: 0b

Counts
170 → 5

regimes143.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample523.0ms

Algorithm
intervals
Results
299.0ms8429×body80valid

Profiling

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