Details

Time bar (total: 3.3s)

sample55.0ms

Algorithm
intervals
Results
36.0ms760×body80valid

simplify55.0ms

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: 7.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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

series185.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ y x))
109.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0345374
11456317
25001317

prune144.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
7.3b
(/ y (* x z))

rewrite14.0ms

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:
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (cosh x) (/ y (* x z)))
23.0ms
(/ y (* x z))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0259290
11062239
25002239

prune108.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 78
Calls
2 calls:
2.0ms
(/ (cosh x) x)
13.0ms
(* (/ (cosh x) x) (/ y z))

series185.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (cosh x) x)
113.0ms
(* (/ (cosh x) x) (/ y z))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0430505
11781450
25001450

prune181.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
6.8b
(/ (* (cosh x) (/ y z)) x)

rewrite15.0ms

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:
8.0ms
(* (cosh x) (/ y z))
5.0ms
(/ (* (cosh x) (/ y z)) x)

series194.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (cosh x) (/ y z))
116.0ms
(/ (* (cosh x) (/ y z)) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0355376
11579319
25002319

prune129.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

93.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.9b

bsearch95.0ms

Steps
ItersRangePoint
9
4.4758716521075004e+48
3.7841413586464293e+56
4.551224214144267e+48
7
-1.0642757073623545e+52
-6.632400044917705e+50
-6.808006684281363e+50

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s22264×body80valid