Details

Time bar (total: 3.5s)

sample40.0ms

Algorithm
intervals
Results
19.0ms640×body80valid

simplify52.0ms

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: 8.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.2b
(/ (* (cosh x) (/ y x)) z)

rewrite32.0ms

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:
16.0ms
(* (cosh x) (/ y x))
14.0ms
(/ (* (cosh x) (/ y x)) z)

series176.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (cosh x) (/ y x))
109.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0345374
11456317
25001317

prune163.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
7.8b
(/ y (* x z))

rewrite36.0ms

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:
27.0ms
(* (cosh x) (/ y (* x z)))
8.0ms
(/ y (* x z))

series122.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (cosh x) (/ y (* x z)))
18.0ms
(/ y (* x z))

simplify33.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0259290
11062239
25002239

prune119.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
6.2b
(* (/ 1 x) (/ y z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
4×rec-exp cosh-def 1-exp pow-prod-down associate-*l/
2×*-commutative div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
39.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
28.0ms
(* (/ 1 x) (/ y z))

series124.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
21.0ms
(* (/ 1 x) (/ y z))

simplify78.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0521573
12324456
25001449

prune201.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (pow (/ (/ y z) x) 1))
6.0b
(/ (/ y z) x)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
93×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
47×associate-*r*
46×unpow-prod-down
19×add-exp-log
13×associate-/l*
9×add-cbrt-cube div-inv
6×div-exp
5×prod-exp unswap-sqr
3×pow1 cbrt-undiv associate-*l* pow-exp associate-/r*
2×add-log-exp sqr-pow
1×pow-to-exp cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative cbrt-unprod associate-/l/
Counts
2 → 141
Calls
2 calls:
63.0ms
(* (cosh x) (pow (/ (/ y z) x) 1))
12.0ms
(/ (/ y z) x)

series122.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (cosh x) (pow (/ (/ y z) x) 1))
20.0ms
(/ (/ y z) x)

simplify88.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0699966
13622913
25001907

prune394.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

89.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.5b

bsearch88.0ms

Steps
ItersRangePoint
9
1.829401064747631e+70
6.644479027714087e+75
1.8543537535968015e+70
8
-5.417466375154916e+71
-4.892093976664808e+67
-5.663392033250732e+67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.2s

Algorithm
intervals
Results
586.0ms22288×body80valid