Details

Time bar (total: 3.7s)

sample759.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 31.481934%

Guaranteed chance to sample good point: 81.476038%

Results
12.0ms256×body80valid
9.0ms264×body80invalid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.4b
(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series41.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
25.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune89.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh000
Picked101
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
6.4b
(/ y (* x 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×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series33.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify37.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0252290
11032239
25002239

prune68.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh246
Picked011
Done000
Total56763

Merged error: 0.0b

Counts
63 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
6.6b
(* (/ (cosh x) x) (/ y z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 78
Calls
2 calls:
3.0ms
(/ (cosh x) x)
10.0ms
(* (/ (cosh x) x) (/ y z))

series36.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (cosh x) x)
26.0ms
(* (/ (cosh x) x) (/ y z))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0424505
11737450
25002450

prune93.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New81384
Fresh325
Picked011
Done011
Total84791

Merged error: 0b

Counts
91 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
6.5b
(/ (* (cosh x) (/ y z)) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (/ y z))
6.0ms
(/ (* (cosh x) (/ y z)) x)

series49.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (cosh x) (/ y z))
26.0ms
(/ (* (cosh x) (/ y z)) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0346376
11546319
25001319

prune56.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New64266
Fresh224
Picked101
Done022
Total67673

Merged error: 0b

Counts
73 → 6

regimes209.0ms

Accuracy

91.1% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.7b

bsearch62.0ms

Steps
ItersRangePoint
8
4.904693081687046e-51
6.578462494727426e-48
5.580979584431518e-48
5
-3.0437921283594068e+81
-1.1768030650190866e+81
-1.2374434616218702e+81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 31.481934%

Guaranteed chance to sample good point: 81.476038%

Results
344.0ms9441×body80invalid
290.0ms8000×body80valid

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