Details

Time bar (total: 3.3s)

sample77.0ms

Algorithm
intervals
Results
44.0ms747×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
8.1b
(/ (* (cosh x) (/ y x)) z)

rewrite17.0ms

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)
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series222.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(cosh x)
73.0ms
(* (cosh x) (/ y x))
105.0ms
(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0372414
11616354
25001354

prune140.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70777
Fresh000
Picked101
Done000
Total71778

Merged error: 0.0b

Counts
78 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
0.0b
(cosh x)
5.0b
(/ y (* x z))

rewrite16.0ms

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:
7.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(cosh x)
4.0ms
(/ y (* x z))

series168.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (cosh x) (/ y (* x z)))
41.0ms
(cosh x)
19.0ms
(/ y (* x z))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0286330
11185276
25001276

prune111.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh336
Picked011
Done000
Total66874

Merged error: 0.0b

Counts
74 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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)
9.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
11.0ms
(* (/ 1 x) (/ y z))

series181.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(cosh x)
121.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
18.0ms
(* (/ 1 x) (/ y z))

simplify61.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0548613
12540493
25001460

prune155.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh156
Picked011
Done011
Total1088116

Merged error: 0b

Counts
116 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (/ y z) (cosh x))
5.4b
(/ (* (/ y z) (cosh x)) x)

rewrite16.0ms

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)
6.0ms
(* (/ y z) (cosh x))
7.0ms
(/ (* (/ y z) (cosh x)) x)

series274.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cosh x)
96.0ms
(* (/ y z) (cosh x))
137.0ms
(/ (* (/ y z) (cosh x)) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0375411
11731350
25002332

prune120.0ms

Filtered
77 candidates to 58 candidates (75.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh235
Picked011
Done022
Total78785

Merged error: 0b

Counts
85 → 7

regimes163.0ms

Accuracy

95.1% (0.4b remaining)

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

bsearch101.0ms

Steps
ItersRangePoint
7
0.9276558878509649
121.55286302593997
53.154203149404076
9
-9.7192796630675e-45
-2.9558915923149125e-51
-4.734482909198071e-48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.2s

Algorithm
intervals
Results
742.0ms22609×body80valid