Details

Time bar (total: 4.2s)

sample38.0ms

Algorithm
intervals
Results
9.0ms32×body1280valid
8.0ms36×body640valid
8.0ms184×body80valid
1.0ms10×body320valid
1.0ms9×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

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: 2.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:
10.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))
6.0ms
(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (sin y) y)
58.0ms
(* x (/ (sin y) y))
67.0ms
(/ (* x (/ (sin y) y)) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25002420

prune184.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh000
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
110×add-sqr-sqrt
82×associate-*r*
78×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×unswap-sqr
8×div-inv
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 162
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
28.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt z)
182.0ms
(cbrt z)
178.0ms
(cbrt z)
112.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010171798
150011497

prune496.0ms

Filtered
174 candidates to 148 candidates (85.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh088
Picked011
Done000
Total1749183

Merged error: 0.0b

Counts
183 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.8b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
4.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))
9.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series157.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
61.0ms
(* x (/ (sin y) y))
72.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0480667
12656552
25001539

prune186.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh077
Picked011
Done011
Total1149123

Merged error: 0.0b

Counts
123 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
0.8b
(/ 1 (/ z (* x (/ (sin y) y))))
2.5b
(/ z (* x (/ (sin y) y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*r/ associate-/r/ cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
4.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))
8.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms
(/ z (* x (/ (sin y) y)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (sin y) y)
56.0ms
(* x (/ (sin y) y))
65.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
106.0ms
(/ z (* x (/ (sin y) y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05081006
12791857
25002816

prune214.0ms

Filtered
159 candidates to 94 candidates (59.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh066
Picked011
Done022
Total15810168

Merged error: 0b

Counts
168 → 10

regimes298.0ms

Accuracy

90.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.4b

bsearch53.0ms

Steps
ItersRangePoint
9
0.00666565065840121
517982.59167871054
0.5984150384328532
1
-6.904507716888469e+73
-6.354120990187591e+73
-6.491717671862811e+73

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample1.1s

Algorithm
intervals
Results
321.0ms1061×body1280valid
291.0ms5859×body80valid
207.0ms974×body640valid
88.0ms560×body320valid
30.0ms290×body160valid

Profiling

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