Details

Time bar (total: 3.8s)

sample39.0ms

Algorithm
intervals
Results
20.0ms722×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.3b
(/ (* (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)

series196.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0345374
11456317
25001317

prune164.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.3b
(/ (* (* (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×associate-/r* 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 → 94
Calls
3 calls:
4.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series264.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (cosh x) y)
79.0ms
(* (* (cosh x) y) (/ 1 x))
114.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0522611
12707476
25001462

prune201.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (* (cosh x) y))
0.0b
(* (cosh x) y)
0.4b
(/ 1 (* (/ z (* (cosh x) y)) x))
5.8b
(* (/ z (* (cosh x) y)) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 associate-*l*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*r* associate-/l*
5×associate-*l/
4×rec-exp 1-exp add-log-exp
3×cosh-def pow-prod-down associate-/r/ div-inv
2×pow-flip frac-2neg clear-num associate-/r* *-commutative unswap-sqr
1×inv-pow
Counts
4 → 106
Calls
4 calls:
5.0ms
(/ z (* (cosh x) y))
4.0ms
(* (cosh x) y)
8.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
7.0ms
(* (/ z (* (cosh x) y)) x)

series446.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ z (* (cosh x) y))
73.0ms
(* (cosh x) y)
155.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
124.0ms
(* (/ z (* (cosh x) y)) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0486680
12209564
25001556

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.6b
(* (/ (* (cosh x) y) z) (/ 1 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*r*
10×associate-*l* cbrt-unprod
9×cbrt-undiv
7×pow1
4×unswap-sqr
3×rec-exp 1-exp associate-*l/ associate-/r* div-inv add-log-exp
2×cosh-def pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num un-div-inv associate-/l/ associate-/l*
Counts
3 → 95
Calls
3 calls:
5.0ms
(/ (* (cosh x) y) z)
4.0ms
(* (cosh x) y)
11.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

series274.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (* (cosh x) y) z)
66.0ms
(* (cosh x) y)
122.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

simplify69.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0523636
12558518
25002502

prune216.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes228.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821
12821

end0.0ms

sample1.1s

Algorithm
intervals
Results
638.0ms22486×body80valid