Details

Time bar (total: 3.4s)

analyze577.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms66×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1204
2394
3474
4474

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (+ (* x y) z) y) t)
0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*l/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
6.0ms
(+ (* (+ (* x y) z) y) t)
4.0ms
(+ (* x y) z)
6.0ms
(* (+ (* x y) z) y)

series29.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* (+ (* x y) z) y) t)
5.0ms
(+ (* x y) z)
8.0ms
(* (+ (* x y) z) y)

simplify105.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0208263
1742237
24187233
35002233

prune63.0ms

Filtered
36 candidates to 51 candidates (-41.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New46551
Fresh000
Picked011
Done000
Total46652

Merged error: 0.0b

Counts
52 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))
0.6b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
11.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ (* x y) z))
30.0ms
(cbrt (+ (* x y) z))
30.0ms
(cbrt (+ (* x y) z))
41.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0282876
1884825
23385768
35001750

prune115.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh134
Picked011
Done011
Total996105

Merged error: 0.0b

Counts
105 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
0.6b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
56×cbrt-div
52×add-sqr-sqrt
49×cbrt-prod
28×add-cube-cbrt *-un-lft-identity
25×pow1
24×flip3-+ flip-+
19×pow1/3
18×swap-sqr associate-*r* associate-*l*
16×frac-times
12×unswap-sqr
10×add-exp-log
8×associate-*r/ associate-*l/
6×pow-prod-down pow-sqr pow-prod-up
4×add-cbrt-cube add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 161
Calls
4 calls:
10.0ms
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
11.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
12.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
11.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
42.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
40.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
43.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
02971862
18761755
231371619
350011580

prune197.0ms

Filtered
116 candidates to 173 candidates (-49.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh033
Picked011
Done022
Total1736179

Merged error: 0.0b

Counts
179 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)
0.2b
(pow (* (+ (* x y) z) y) 3)
31.6b
(cbrt (pow (* (+ (* x y) z) y) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt *-un-lft-identity
6×associate-*l/ add-log-exp
4×cube-div flip3-+ flip-+
3×pow-unpow associate-*r* associate-*l*
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp pow1/3 sum-log *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 74
Calls
4 calls:
4.0ms
(+ (* x y) z)
6.0ms
(* (+ (* x y) z) y)
7.0ms
(pow (* (+ (* x y) z) y) 3)
3.0ms
(cbrt (pow (* (+ (* x y) z) y) 3))

series53.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x y) z)
8.0ms
(* (+ (* x y) z) y)
28.0ms
(pow (* (+ (* x y) z) y) 3)
11.0ms
(cbrt (pow (* (+ (* x y) z) y) 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0305440
11487419
25002417

prune90.0ms

Filtered
58 candidates to 86 candidates (-48.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done033
Total86692

Merged error: 0.0b

Counts
92 → 6

regimes373.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

analyze582.0ms

Algorithm
search

sample529.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid
54.0ms1869×body80invalid

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