Details

Time bar (total: 2.7s)

analyze346.0ms

Algorithm
search

sample33.0ms

Algorithm
intervals
Results
10.0ms228×body80invalid
9.0ms256×body80valid

simplify53.0ms

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: 7.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

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 x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series45.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (/ y x))
28.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune100.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
5.6b
(/ y (* x z))

rewrite13.0ms

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))

series34.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0252290
11032239
25002239

prune76.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New51556
Fresh448
Picked101
Done000
Total56965

Merged error: 0.0b

Counts
65 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.4b
(/ 1 (/ (* x z) y))
5.5b
(/ (* x z) y)

rewrite31.0ms

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))
5.0ms
(/ (* x z) y)

series42.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
5.0ms
(/ 1 (/ (* x z) y))
5.0ms
(/ (* x z) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0511845
12547713
25001643

prune119.0ms

Filtered
81 candidates to 145 candidates (-79.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1432145
Fresh268
Picked101
Done000
Total1468154

Merged error: 0b

Counts
154 → 8

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))

series39.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (cosh x) x)
29.0ms
(* (/ (cosh x) x) (/ y z))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0424505
11737450
25002450

prune66.0ms

Filtered
65 candidates to 84 candidates (-29.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh167
Picked011
Done000
Total84892

Merged error: 0b

Counts
92 → 8

regimes310.0ms

Accuracy

92.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02819
12819

end0.0ms

analyze333.0ms

Algorithm
search

sample863.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid
261.0ms7623×body80invalid

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