Details

Time bar (total: 3.0s)

sample36.0ms

Algorithm
intervals
Results
18.0ms713×body80valid

simplify62.0ms

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: 8.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.3b
(/ (* (cosh x) (/ y x)) z)

rewrite18.0ms

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:
10.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (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)

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0345374
11456317
25001317

prune151.0ms

Pruning

7 alts after pruning (7 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)))
5.5b
(/ y (* x z))

rewrite13.0ms

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

series139.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(* (cosh x) (/ y (* x z)))
21.0ms
(/ y (* x z))

simplify39.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0259290
11062239
25002239

prune116.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.3b
(/ 1 (/ (* x z) y))
5.5b
(/ (* x z) y)

rewrite29.0ms

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×associate-*l* 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 → 136
Calls
3 calls:
13.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms
(/ 1 (/ (* x z) y))
5.0ms
(/ (* x z) y)

series190.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
21.0ms
(/ 1 (/ (* x z) y))
21.0ms
(/ (* x z) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0518847
12604715
25001645

prune237.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* (/ 1 (* x z)) y))
0.3b
(/ 1 (* x z))
5.7b
(* (/ 1 (* x z)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*r* associate-*l/
3×associate-/l* add-log-exp
2×cosh-def pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 88
Calls
3 calls:
10.0ms
(* (cosh x) (* (/ 1 (* x z)) y))
5.0ms
(/ 1 (* x z))
7.0ms
(* (/ 1 (* x z)) y)

series182.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(* (cosh x) (* (/ 1 (* x z)) y))
13.0ms
(/ 1 (* x z))
22.0ms
(* (/ 1 (* x z)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0375473
11705372
25001363

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes127.0ms

Accuracy

93.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.7b

bsearch61.0ms

Steps
ItersRangePoint
6
2.6661139282164484e+32
2.1085502394882494e+33
3.006240253092873e+32
6
-3.2417340252509946e+55
-3.303894620473303e+54
-3.381576231069286e+54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample1.0s

Algorithm
intervals
Results
581.0ms22177×body80valid