Details

Time bar (total: 4.0s)

sample40.0ms

Algorithm
intervals
Results
20.0ms746×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize6.0ms

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)

rewrite15.0ms

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:
0.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series232.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cosh x)
76.0ms
(* (cosh x) (/ y x))
113.0ms
(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0372414
11616354
25001354

prune174.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
6.8b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
36×add-cbrt-cube
25×prod-exp
17×add-sqr-sqrt div-exp
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
11×pow1
9×cbrt-undiv
7×associate-*l/
6×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/ add-log-exp
3×associate-/r*
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
4 → 102
Calls
4 calls:
0.0ms
(cosh x)
3.0ms
(* (cosh x) y)
11.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series302.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cosh x)
68.0ms
(* (cosh x) y)
76.0ms
(* (* (cosh x) y) (/ 1 x))
109.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0543651
12791513
25002499

prune220.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.5b
(/ 1 (* (/ z (* (cosh x) y)) x))
6.6b
(* (/ z (* (cosh x) y)) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
29×add-cbrt-cube
17×prod-exp
16×div-exp
15×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity associate-*l*
9×cbrt-unprod
8×cbrt-undiv
6×times-frac associate-*r*
4×rec-exp 1-exp associate-*l/ add-log-exp
3×cosh-def pow-prod-down associate-/l*
2×pow-flip associate-/r/ *-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* inv-pow
Counts
4 → 92
Calls
4 calls:
0.0ms
(cosh x)
3.0ms
(* (cosh x) y)
14.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
11.0ms
(* (/ z (* (cosh x) y)) x)

series388.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cosh x)
67.0ms
(* (cosh x) y)
144.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
130.0ms
(* (/ z (* (cosh x) y)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0471586
12173488
25001480

prune200.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(cosh x)
0.0b
(* (cosh x) y)
6.1b
(/ (/ (* (cosh x) y) z) x)

rewrite15.0ms

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×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 → 97
Calls
4 calls:
4.0ms
(/ (* (cosh x) y) z)
0.0ms
(cosh x)
3.0ms
(* (cosh x) y)
5.0ms
(/ (/ (* (cosh x) y) z) x)

series297.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (* (cosh x) y) z)
42.0ms
(cosh x)
67.0ms
(* (cosh x) y)
108.0ms
(/ (/ (* (cosh x) y) z) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0446635
11898563
25001563

prune218.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes170.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.9b

bsearch98.0ms

Steps
ItersRangePoint
8
5.882322583041518e+22
2.2864340634552565e+27
1.2557521193532489e+23
9
-30983857619770704.0
-144368492639.0963
-739634522879.6277

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03714
13914
23914

end0.0ms

sample1.3s

Algorithm
intervals
Results
817.0ms21869×body80valid