Details

Time bar (total: 8.9s)

sample3.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 35.137939%

Guaranteed chance to sample good point: 76.442081%

Results
8.0ms256×body80valid
8.0ms225×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.2b
(/ (* (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:
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series45.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0338374
11422317
25002317

prune87.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New57966
Fresh000
Picked101
Done000
Total58967

Merged error: 0.0b

Counts
67 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
7.6b
(/ 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:
6.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series31.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify31.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0252290
11032239
25002239

prune66.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh358
Picked011
Done000
Total56965

Merged error: 0.0b

Counts
65 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
4.7b
(* (/ 1 x) (/ y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
4×rec-exp cosh-def 1-exp pow-prod-down associate-*l/
2×*-commutative div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
11.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
10.0ms
(* (/ 1 x) (/ y z))

series31.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
5.0ms
(* (/ 1 x) (/ y z))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0514573
12273456
25002449

prune91.0ms

Filtered
60 candidates to 97 candidates (-61.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh077
Picked011
Done011
Total979106

Merged error: 0.0b

Counts
106 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.3b
(/ 1 (/ (* x z) y))
7.6b
(/ (* x z) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
61×add-exp-log
43×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-cbrt-cube
26×div-exp associate-*r*
17×prod-exp
12×cbrt-undiv
10×associate-/r* div-inv
7×cbrt-unprod
6×pow1 rec-exp 1-exp
4×associate-/l*
3×associate-*l* add-log-exp unswap-sqr
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 136
Calls
3 calls:
12.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms
(/ 1 (/ (* x z) y))
4.0ms
(/ (* x z) y)

series42.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
5.0ms
(/ 1 (/ (* x z) y))
5.0ms
(/ (* x z) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0511845
12547713
25001643

prune88.0ms

Filtered
79 candidates to 145 candidates (-83.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh336
Picked101
Done022
Total1477154

Merged error: 0b

Counts
154 → 7

regimes266.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.6b

bsearch111.0ms

Steps
ItersRangePoint
8
5.137017969507375e-16
6.355925685394258e-13
8.245924530527804e-16
9
-5.335467327117231e+39
-2.2919556914305863e+30
-3.513814673337025e+31

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample4.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 35.137939%

Guaranteed chance to sample good point: 76.442081%

Results
278.0ms8000×body80valid
238.0ms6597×body80invalid

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