Details

Time bar (total: 2.7s)

sample51.0ms

Algorithm
intervals
Results
22.0ms713×body80valid

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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
8.4b
(/ (* (cosh x) (/ y x)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
pow1 cbrt-undiv cosh-def div-exp
prod-exp cbrt-unprod
associate-*l* associate-/r* associate-/l/ add-log-exp
frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
9.0ms
(/ (* (cosh x) (/ y x)) z)

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
16.0ms
(* (cosh x) (/ y x))
26.0ms
(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365414
11576354
25001354

prune97.0ms

Filtered
77 candidates to 59 candidates (23.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70777
Fresh000
Picked101
Done000
Total71778

Merged error: 0.0b

Counts
78 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
6.3b
(/ (* (cosh x) y) (* z x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
cbrt-undiv div-exp
cosh-def associate-*r* associate-*l* add-log-exp
associate-*l/
frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(* (cosh x) y)
6.0ms
(/ (* (cosh x) y) (* z x))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
16.0ms
(* (cosh x) y)
26.0ms
(/ (* (cosh x) y) (* z x))

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297298
11422240
25001240

prune69.0ms

Filtered
58 candidates to 41 candidates (29.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54458
Fresh426
Picked011
Done000
Total58765

Merged error: 0.0b

Counts
65 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.2b
(/ 1 (* z x))
6.8b
(* (* (cosh x) y) (/ 1 (* z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×add-cbrt-cube
31×prod-exp
14×pow1
13×cbrt-unprod
12×add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity associate-*r*
cbrt-undiv rec-exp times-frac 1-exp
pow-prod-down
cosh-def associate-*l* associate-*l/ add-log-exp
associate-/l*
pow-flip *-commutative div-inv
frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
4 → 97
Calls
4 calls:
1.0ms
(cosh x)
3.0ms
(* (cosh x) y)
4.0ms
(/ 1 (* z x))
9.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
14.0ms
(* (cosh x) y)
3.0ms
(/ 1 (* z x))
29.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0435542
12090435
25001414

prune88.0ms

Filtered
109 candidates to 60 candidates (45.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh145
Picked011
Done101
Total1106116

Merged error: 0.0b

Counts
116 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
6.3b
(/ (* (* (cosh x) (* (cbrt y) (cbrt y))) (cbrt y)) (* z x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
26×add-cbrt-cube
16×prod-exp cbrt-unprod
cbrt-prod
cbrt-undiv div-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-log-exp
pow1/3
associate-*l/
cosh-def frac-2neg times-frac clear-num associate-/r* div-inv associate-/l/ associate-/l*
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(/ (* (* (cosh x) (* (cbrt y) (cbrt y))) (cbrt y)) (* z x))

series98.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt y)
22.0ms
(cbrt y)
30.0ms
(/ (* (* (cosh x) (* (cbrt y) (cbrt y))) (cbrt y)) (* z x))

simplify54.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0374579
11962424
25002371

prune64.0ms

Filtered
75 candidates to 52 candidates (30.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh044
Picked011
Done011
Total75681

Merged error: 0.0b

Counts
81 → 6

regimes193.0ms

Accuracy

93.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 8.0b

bsearch67.0ms

Steps
ItersRangePoint
9
1.0646413187148234e+38
6.863393983637037e+46
2.0317376429161032e+38
8
-1.9796133174705217e+32
-5.584274130228475e+27
-8.065657502848864e+27

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.5s

Algorithm
intervals
Results
702.0ms22373×body80valid

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