Details

Time bar (total: 3.1s)

analyze377.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample40.0ms

Algorithm
intervals
Results
10.0ms33×body1280valid
8.0ms170×body80valid
6.0ms30×body640valid
2.0ms12×body320valid
1.0ms11×body160valid
1.0ms16×body80invalid
1.0ms3×body640invalid
0.0ms1×body1280invalid
0.0ms2×body160invalid
0.0ms1×body320invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
03268
13268

prune11.0ms

Filtered
1 candidates to 1 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 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
4.1b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))
6.0ms
(/ (* x (/ (sin y) y)) z)

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
10.0ms
(* x (/ (sin y) y))
14.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04960741
14960741

prune115.0ms

Filtered
65 candidates to 92 candidates (-41.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh011
Picked101
Done000
Total87794

Merged error: 0b

Counts
94 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(/ (sin y) (* y (cbrt z)))
2.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) (* y (cbrt z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
16×add-sqr-sqrt prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×associate-*r* associate-*l*
6×pow1 cbrt-prod
4×add-log-exp
3×div-inv associate-/l*
2×pow1/3 unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(/ (sin y) (* y (cbrt z)))
14.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) (* y (cbrt z))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt z)
22.0ms
(cbrt z)
20.0ms
(/ (sin y) (* y (cbrt z)))
19.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) (* y (cbrt z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04914848
14914848

prune114.0ms

Filtered
68 candidates to 101 candidates (-48.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh066
Picked011
Done000
Total1017108

Merged error: 0b

Counts
108 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

2.6b
(* x (/ (sin y) (* y z)))
4.7b
(/ (sin y) (* y z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(* x (/ (sin y) (* y z)))
5.0ms
(/ (sin y) (* y z))

series21.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* x (/ (sin y) (* y z)))
7.0ms
(/ (sin y) (* y z))

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05001462

prune69.0ms

Filtered
39 candidates to 54 candidates (-38.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh055
Picked011
Done011
Total54761

Merged error: 0b

Counts
61 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (sin y))
2.7b
(/ x (* y (/ z (sin y))))
9.0b
(* y (/ z (sin y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ z (sin y))
5.0ms
(/ x (* y (/ z (sin y))))
9.0ms
(* y (/ z (sin y)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ z (sin y))
14.0ms
(/ x (* y (/ z (sin y))))
11.0ms
(* y (/ z (sin y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04974739
14974739

prune81.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done022
Total92799

Merged error: 0b

Counts
99 → 7

regimes411.0ms

Accuracy

74.7% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 4.7b

bsearch59.0ms

Steps
ItersRangePoint
11
1.8850671623032123
1.3426534335046216e+30
1.4314106254407848e+27
8
-9.769450399703969e+49
-4.2450597763020953e+46
-4.494505241635519e+46

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07332
17332

end0.0ms

sample1.3s

Algorithm
intervals
Results
478.0ms5391×body80valid
295.0ms941×body1280valid
188.0ms912×body640valid
75.0ms494×body320valid
28.0ms459×body80invalid
27.0ms262×body160valid
9.0ms47×body640invalid
8.0ms56×body320invalid
3.0ms32×body160invalid
2.0ms8×body1280invalid

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