Details

Time bar (total: 3.3s)

sample36.0ms

Algorithm
intervals
Results
16.0ms640×body80valid

simplify53.0ms

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:
17.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series199.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (cosh x) (/ y x))
118.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0345374
11456317
25001317

prune151.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:
21.0ms
(* (cosh x) (/ y (* x z)))
8.0ms
(/ y (* x z))

series146.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(* (cosh x) (/ y (* x z)))
23.0ms
(/ y (* x z))

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0259290
11062239
25002239

prune109.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:
37.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
23.0ms
(* (/ 1 x) (/ y z))

series144.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
22.0ms
(* (/ 1 x) (/ y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0521573
12324456
25001449

prune177.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
75×times-frac
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
43×prod-exp
36×div-exp add-cbrt-cube
15×1-exp
13×cbrt-unprod associate-/l*
12×cbrt-undiv
7×pow1
6×rec-exp
5×frac-times associate-*r/ div-inv
4×cosh-def
3×associate-*l* pow-prod-down associate-*l/ associate-/r*
2×add-log-exp
1×frac-2neg associate-*r* clear-num *-commutative associate-/l/
Counts
2 → 120
Calls
2 calls:
51.0ms
(* (cosh x) (* (/ 1 1) (/ (/ y z) x)))
10.0ms
(/ (/ y z) x)

series139.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* (cosh x) (* (/ 1 1) (/ (/ y z) x)))
20.0ms
(/ (/ y z) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0747821
12648730
25001699

prune253.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

89.2% (0.7b remaining)

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

bsearch86.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1309
2309

end0.0ms

sample1.2s

Algorithm
intervals
Results
570.0ms22288×body80valid