Details

Time bar (total: 3.4s)

sample38.0ms

Algorithm
intervals
Results
21.0ms670×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

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: 7.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
1.0ms
(cosh x)
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series239.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(cosh x)
75.0ms
(* (cosh x) (/ y x))
115.0ms
(/ (* (cosh x) (/ y x)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0383433
11634372
25001368

prune161.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New77683
Fresh000
Picked101
Done000
Total78684

Merged error: 0.0b

Counts
84 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×expm1-log1p-u cosh-def associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×associate-*l/
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 55
Calls
3 calls:
4.0ms
(* (cosh x) y)
1.0ms
(cosh x)
6.0ms
(/ (* (cosh x) y) (* z x))

series221.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* (cosh x) y)
46.0ms
(cosh x)
108.0ms
(/ (* (cosh x) y) (* z x))

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0313314
11468256
25001252

prune108.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh325
Picked011
Done000
Total64670

Merged error: 0b

Counts
70 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(cosh x)
0.0b
(/ (* (cosh x) y) z)
5.5b
(/ (/ (* (cosh x) y) z) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×pow1 associate-/r* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cosh-def associate-*r* associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 105
Calls
4 calls:
4.0ms
(* (cosh x) y)
1.0ms
(cosh x)
4.0ms
(/ (* (cosh x) y) z)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series301.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (cosh x) y)
48.0ms
(cosh x)
80.0ms
(/ (* (cosh x) y) z)
111.0ms
(/ (/ (* (cosh x) y) z) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0459659
11921586
25001582

prune200.0ms

Filtered
117 candidates to 93 candidates (79.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh044
Picked011
Done011
Total1176123

Merged error: 0b

Counts
123 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(cosh x)
0.2b
(/ 1 (* z x))
5.1b
(* (* (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*
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×expm1-log1p-u cosh-def associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×associate-/l*
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
4 → 105
Calls
4 calls:
4.0ms
(* (cosh x) y)
1.0ms
(cosh x)
4.0ms
(/ 1 (* z x))
9.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cosh x) y)
41.0ms
(cosh x)
14.0ms
(/ 1 (* z x))
131.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0453569
12140462
25001439

prune143.0ms

Filtered
117 candidates to 69 candidates (59.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done022
Total1176123

Merged error: 0b

Counts
123 → 6

regimes101.0ms

Accuracy

96.4% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 6.8b

bsearch98.0ms

Steps
ItersRangePoint
9
4.600224715976602e-18
3.5956451767806356e-13
4.313303692525926e-14
9
-5885.016217463414
-0.007334616805611751
-9.689094535544859

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.1s

Algorithm
intervals
Results
700.0ms22239×body80valid