Details

Time bar (total: 2.2s)

analyze305.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms20×body80invalid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1294
2654
31284
41744
51894
62064
72554
83504
96254
1013524
1118314
1226184
1337484
1450014

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 x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
6.0ms
(* (- y x) 6.0)
7.0ms
(* (* (- y x) 6.0) z)

series24.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ x (* (* (- y x) 6.0) z))
4.0ms
(* (- y x) 6.0)
8.0ms
(* (* (- y x) 6.0) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0246290
11073249
25001249

prune79.0ms

Filtered
40 candidates to 62 candidates (-55.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57562
Fresh000
Picked011
Done000
Total57663

Merged error: 0.0b

Counts
63 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) (* 6.0 z)))
7.0ms
(* (- y x) (* 6.0 z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (* (- y x) (* 6.0 z)))
8.0ms
(* (- y x) (* 6.0 z))

simplify108.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune61.0ms

Filtered
24 candidates to 39 candidates (-62.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh224
Picked011
Done011
Total40545

Merged error: 0.0b

Counts
45 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (* (- y x) 6.0) (sqrt z)) (sqrt z)))
0.0b
(* (- y x) 6.0)
0.2b
(* (* (* (- y x) 6.0) (sqrt z)) (sqrt z))
0.2b
(* (* (- y x) 6.0) (sqrt z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
15×associate-*r*
14×add-sqr-sqrt
12×*-un-lft-identity associate-*l/
10×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sqrt-prod add-log-exp
3×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 82
Calls
4 calls:
3.0ms
(+ x (* (* (* (- y x) 6.0) (sqrt z)) (sqrt z)))
6.0ms
(* (- y x) 6.0)
12.0ms
(* (* (* (- y x) 6.0) (sqrt z)) (sqrt z))
8.0ms
(* (* (- y x) 6.0) (sqrt z))

series40.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ x (* (* (* (- y x) 6.0) (sqrt z)) (sqrt z)))
4.0ms
(* (- y x) 6.0)
10.0ms
(* (* (* (- y x) 6.0) (sqrt z)) (sqrt z))
12.0ms
(* (* (- y x) 6.0) (sqrt z))

simplify58.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0435587
12037486
25003480

prune93.0ms

Filtered
61 candidates to 94 candidates (-54.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh022
Picked011
Done022
Total93699

Merged error: 0.0b

Counts
99 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(* (* (* (* (- y x) 6.0) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))
0.2b
(* (* (* (- y x) 6.0) (sqrt (sqrt z))) (sqrt (sqrt z)))
0.2b
(* (* (- y x) 6.0) (sqrt (sqrt z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
32×add-exp-log add-cbrt-cube
31×sqrt-prod
24×associate-*r*
19×pow-prod-down prod-exp cbrt-unprod
18×associate-*l/
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
4×sqrt-pow1 add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
16.0ms
(* (* (* (* (- y x) 6.0) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))
13.0ms
(* (* (* (- y x) 6.0) (sqrt (sqrt z))) (sqrt (sqrt z)))
9.0ms
(* (* (- y x) 6.0) (sqrt (sqrt z)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
10.0ms
(* (* (* (* (- y x) 6.0) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))
12.0ms
(* (* (* (- y x) 6.0) (sqrt (sqrt z))) (sqrt (sqrt z)))
19.0ms
(* (* (- y x) 6.0) (sqrt (sqrt z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0563909
12653691
25002635

prune91.0ms

Filtered
66 candidates to 115 candidates (-74.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh112
Picked011
Done123
Total1165121

Merged error: 0b

Counts
121 → 5

regimes208.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze296.0ms

Algorithm
search

sample404.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid
19.0ms586×body80invalid

Profiling

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