Details

Time bar (total: 3.6s)

sample745.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 35.232906%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
8.0ms256×body80valid
6.0ms193×body80invalid

simplify57.0ms

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: 7.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.1b
(/ (* (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)

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
31.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune86.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

series31.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0252290
11032239
25002239

prune67.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh257
Picked011
Done000
Total55964

Merged error: 0.0b

Counts
64 → 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))
6.6b
(/ (* x z) y)

rewrite29.0ms

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)))
8.0ms
(/ 1 (/ (* x z) y))
4.0ms
(/ (* x z) y)

series39.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
5.0ms
(/ 1 (/ (* x z) y))
5.0ms
(/ (* x z) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0511845
12547713
25001643

prune112.0ms

Filtered
80 candidates to 145 candidates (-81.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh167
Picked101
Done011
Total1459154

Merged error: 0b

Counts
154 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
7.1b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
4.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
12.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series55.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (cosh x) y)
16.0ms
(* (* (cosh x) y) (/ 1 x))
26.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0517611
12686476
25002462

prune72.0ms

Filtered
62 candidates to 103 candidates (-66.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh167
Picked011
Done011
Total1039112

Merged error: 0b

Counts
112 → 9

regimes342.0ms

Accuracy

95% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch98.0ms

Steps
ItersRangePoint
9
2.6992731823512597e-33
7.5856931446238775e-28
6.227283478516123e-28
7
-5.901244551098037e-44
-1.2742729494871572e-45
-8.665004270366267e-45

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 35.232906%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
275.0ms8000×body80valid
220.0ms6445×body80invalid

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