Details

Time bar (total: 3.4s)

sample41.0ms

Algorithm
intervals
Results
18.0ms737×body80valid

simplify57.0ms

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: 9.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
9.2b
(/ (* (cosh x) (/ y x)) z)

rewrite30.0ms

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:
1.0ms
(cosh x)
14.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series226.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(cosh x)
75.0ms
(* (cosh x) (/ y x))
107.0ms
(/ (* (cosh x) (/ y x)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0372414
11616354
25001354

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
7.1b
(/ y (* x z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
1.0ms
(cosh x)
20.0ms
(* (cosh x) (/ y (* x z)))
7.0ms
(/ y (* x z))

series160.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(cosh x)
102.0ms
(* (cosh x) (/ y (* x z)))
19.0ms
(/ y (* x z))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0286330
11185276
25002276

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
7.1b
(* (/ 1 x) (/ y z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-sqr-sqrt
33×add-cbrt-cube
25×times-frac prod-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
5×cosh-def
4×rec-exp 1-exp pow-prod-down associate-*l/
3×add-log-exp
2×*-commutative div-inv
Counts
3 → 99
Calls
3 calls:
1.0ms
(cosh x)
35.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
26.0ms
(* (/ 1 x) (/ y z))

series166.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(cosh x)
108.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
18.0ms
(* (/ 1 x) (/ y z))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0548613
12540493
25001460

prune195.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (/ y z) (cosh x))
6.9b
(/ (* (/ y z) (cosh x)) x)

rewrite33.0ms

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-*l*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*r* 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:
1.0ms
(cosh x)
15.0ms
(* (/ y z) (cosh x))
15.0ms
(/ (* (/ y z) (cosh x)) x)

series278.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(cosh x)
97.0ms
(* (/ y z) (cosh x))
141.0ms
(/ (* (/ y z) (cosh x)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0375411
11731350
25002332

prune155.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

93.9% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.8b

bsearch82.0ms

Steps
ItersRangePoint
9
1.0083976401382498e+30
2.5389761738033346e+37
1.1759103315456333e+30
9
-3.5973366670433506e+86
-4.34566125786659e+77
-4.4125361339711144e+77

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.1s

Algorithm
intervals
Results
542.0ms22224×body80valid