Details

Time bar (total: 3.2s)

sample61.0ms

Algorithm
intervals
Results
32.0ms701×body80valid

simplify57.0ms

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: 7.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series245.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (cosh x) (/ y x))
146.0ms
(/ (* (cosh x) (/ y x)) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0352391
11472333
25001333

prune146.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771

Merged error: 0.1b

Counts
71 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
5.4b
(/ y (* x z))

rewrite14.0ms

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×expm1-log1p-u cosh-def log1p-expm1-u 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 → 54
Calls
2 calls:
9.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series126.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(* (cosh x) (/ y (* x z)))
19.0ms
(/ y (* x z))

simplify32.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0266305
11075254
25001252

prune114.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56460
Fresh336
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.5b
(/ 1 (/ (* x z) y))
5.4b
(/ (* x z) y)

rewrite27.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 142
Calls
3 calls:
12.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms
(/ 1 (/ (* x z) y))
4.0ms
(/ (* x z) y)

series172.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
19.0ms
(/ 1 (/ (* x z) y))
18.0ms
(/ (* x z) y)

simplify67.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0527872
12619740
25001670

prune243.0ms

Filtered
151 candidates to 86 candidates (57.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1501151
Fresh246
Picked011
Done011
Total1527159

Merged error: 0b

Counts
159 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u 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 → 100
Calls
3 calls:
4.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series254.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* (cosh x) y)
77.0ms
(* (* (cosh x) y) (/ 1 x))
111.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0532637
12730501
25002485

prune186.0ms

Filtered
109 candidates to 68 candidates (62.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh134
Picked011
Done022
Total1097116

Merged error: 0b

Counts
116 → 7

regimes151.0ms

Accuracy

95.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.2b

bsearch69.0ms

Steps
ItersRangePoint
8
2.1569906325269344e+21
9.961613954865154e+24
2.0632746827096628e+22
5
-3.4658963496174327e-19
-1.077699933362376e-19
-2.5383590026819785e-19

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample1.1s

Algorithm
intervals
Results
632.0ms22369×body80valid