Details

Time bar (total: 3.5s)

analyze353.0ms

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms236×body80invalid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series51.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
16.0ms
(* (cosh x) (/ y x))
28.0ms
(/ (* (cosh x) (/ y x)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365414
11576354
25001354

prune120.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New671077
Fresh000
Picked101
Done000
Total681078

Merged error: 0.0b

Counts
78 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
6.9b
(/ y (* x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
26.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0279330
11152276
25001276

prune95.0ms

Filtered
47 candidates to 67 candidates (-42.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh549
Picked011
Done000
Total68977

Merged error: 0.0b

Counts
77 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-sqr-sqrt
33×add-cbrt-cube
25×times-frac prod-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
5×cosh-def
4×rec-exp 1-exp pow-prod-down associate-*l/
3×add-log-exp
2×*-commutative div-inv
Counts
3 → 99
Calls
3 calls:
1.0ms
(cosh x)
9.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
11.0ms
(* (/ 1 x) (/ y z))

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
27.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
5.0ms
(* (/ 1 x) (/ y z))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0541613
12484493
25002460

prune123.0ms

Filtered
68 candidates to 108 candidates (-58.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh257
Picked011
Done101
Total1089117

Merged error: 0b

Counts
117 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
90×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
43×associate-*r*
17×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
5×pow1
3×cosh-def associate-*l* prod-exp associate-/r* cbrt-unprod add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 145
Calls
3 calls:
1.0ms
(cosh x)
15.0ms
(* (cosh x) (/ (/ y z) x))
6.0ms
(/ (/ y z) x)

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
26.0ms
(* (cosh x) (/ (/ y z) x))
5.0ms
(/ (/ y z) x)

simplify77.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0630976
12920913
25001911

prune138.0ms

Filtered
125 candidates to 154 candidates (-23.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1522154
Fresh257
Picked011
Done011
Total1549163

Merged error: 0b

Counts
163 → 9

regimes436.0ms

Accuracy

94% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.5b

bsearch423.0ms

Steps
ItersRangePoint
7
10639.072671683307
2159435.626195223
2033295.4789828986
10
-2.3891898483265753e+66
-3.593220474540604e+56
-3.874122314386104e+56

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

analyze345.0ms

Algorithm
search

sample895.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid
268.0ms7325×body80invalid

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