Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
6.0ms198×body80valid
2.0ms18×body640valid
2.0ms13×body1280valid
1.0ms19×body320valid
0.0ms8×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1355
2745
31285
42525
53745
65145
76425
87775
910105
1016865
1150025

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.0b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.4b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(* (- 1.0 x) y)
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (- 1.0 x) y)
12.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
10.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0338401
11456359
25001359

prune274.0ms

Filtered
72 candidates to 51 candidates (29.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh000
Picked101
Done000
Total67673

Merged error: 0.1b

Counts
73 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
0.0b
(/ y (+ y 1.0))
2.0b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
16.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
5.0ms
(/ y (+ y 1.0))
3.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms
(/ y (+ y 1.0))
11.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0400572
11790526
25001526

prune402.0ms

Filtered
97 candidates to 69 candidates (28.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done000
Total976103

Merged error: 0.1b

Counts
103 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(/ 1 (+ y 1.0))
4.2b
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
6.4b
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
32×add-exp-log
27×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*l/
7×cbrt-unprod distribute-lft-out
6×div-exp associate-*l* add-log-exp
4×flip3-- pow-prod-down associate-/r* associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp associate-/l*
2×frac-times flip3-+ *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 118
Calls
4 calls:
6.0ms
(* (- 1.0 x) y)
5.0ms
(/ 1 (+ y 1.0))
2.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
14.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (- 1.0 x) y)
2.0ms
(/ 1 (+ y 1.0))
11.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
6.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0509735
12631634
25001597

prune429.0ms

Filtered
130 candidates to 73 candidates (43.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done011
Total1306136

Merged error: 0.1b

Counts
136 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
6.4b
(/ (* (* (- 1.0 x) (* (cbrt y) (cbrt y))) (cbrt y)) (+ y 1.0))
11.2b
(- 1.0 (/ (* (* (- 1.0 x) (* (cbrt y) (cbrt y))) (cbrt y)) (+ y 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
14×*-un-lft-identity
13×add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt
6×cbrt-prod prod-exp cbrt-unprod add-log-exp
4×pow1 cbrt-undiv times-frac div-exp associate-*l/ associate-/r*
2×flip3-- pow1/3 associate-/r/ flip-- associate-/l/ distribute-lft-out
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(/ (* (* (- 1.0 x) (* (cbrt y) (cbrt y))) (cbrt y)) (+ y 1.0))
7.0ms
(- 1.0 (/ (* (* (- 1.0 x) (* (cbrt y) (cbrt y))) (cbrt y)) (+ y 1.0)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
23.0ms
(cbrt y)
9.0ms
(/ (* (* (- 1.0 x) (* (cbrt y) (cbrt y))) (cbrt y)) (+ y 1.0))
18.0ms
(- 1.0 (/ (* (* (- 1.0 x) (* (cbrt y) (cbrt y))) (cbrt y)) (+ y 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0417721
11724604
25002517

prune323.0ms

Filtered
79 candidates to 56 candidates (29.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh033
Picked011
Done022
Total79685

Merged error: 0.1b

Counts
85 → 6

regimes286.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.1b

bsearch106.0ms

Steps
ItersRangePoint
9
1325.407106289753
170944420.23003155
150914832.0230493
9
-24776207428773.418
-41296.44367278978
-108567234.092656

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910

end0.0ms

sample618.0ms

Algorithm
intervals
Results
190.0ms6131×body80valid
80.0ms690×body640valid
59.0ms392×body1280valid
48.0ms494×body320valid
17.0ms293×body160valid

Profiling

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