Details

Time bar (total: 3.7s)

sample35.0ms

Algorithm
intervals
Results
9.0ms32×body1280valid
8.0ms194×body80valid
5.0ms24×body640valid
2.0ms12×body320valid
1.0ms13×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 1.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
1.5b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series153.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25002420

prune185.0ms

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: 0b

Counts
93 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
1.6b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite24.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
71.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0480667
12656552
25001539

prune190.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh268
Picked011
Done000
Total1158123

Merged error: 0b

Counts
123 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
0.5b
(/ 1 (/ z (* x (/ (sin y) y))))
1.5b
(/ z (* x (/ (sin y) y)))

rewrite29.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
8.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms
(/ z (* x (/ (sin y) y)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)
67.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
103.0ms
(/ z (* x (/ (sin y) y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05081004
12791857
25002816

prune228.0ms

Filtered
159 candidates to 94 candidates (59.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh066
Picked011
Done011
Total1598167

Merged error: 0b

Counts
167 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))
1.5b
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (sin y) y))) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
24×add-sqr-sqrt
23×add-cbrt-cube
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
11×pow1
9×cbrt-undiv div-exp
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×add-log-exp unswap-sqr
3×times-frac associate-/r*
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num *-commutative div-inv associate-/l/ associate-/l*
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (cbrt x))
13.0ms
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (sin y) y))) z)

series661.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
180.0ms
(cbrt x)
204.0ms
(* (cbrt x) (cbrt x))
91.0ms
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (sin y) y))) z)

simplify77.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0419672
12414512
25001463

prune204.0ms

Filtered
106 candidates to 73 candidates (68.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh055
Picked011
Done022
Total1068114

Merged error: 0b

Counts
114 → 8

regimes175.0ms

Accuracy

80.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample1.1s

Algorithm
intervals
Results
285.0ms964×body1280valid
275.0ms5927×body80valid
187.0ms977×body640valid
78.0ms537×body320valid
27.0ms280×body160valid

Profiling

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