Details

Time bar (total: 3.0s)

sample39.0ms

Algorithm
intervals
Results
21.0ms731×body80valid

simplify55.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.9b
(/ (* (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)

series189.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (cosh x) (/ y x))
112.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0345374
11456317
25001317

prune143.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y (* x z)))
6.6b
(/ 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))

series136.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(* (cosh x) (/ y (* x z)))
21.0ms
(/ y (* x z))

simplify38.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0259290
11062239
25002239

prune113.0ms

Filtered
56 candidates to 37 candidates (66.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.3b
(/ 1 (/ (* x z) y))
6.5b
(/ (* x z) y)

rewrite28.0ms

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:
12.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms
(/ 1 (/ (* x z) y))
4.0ms
(/ (* x z) y)

series175.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
20.0ms
(/ 1 (/ (* x z) y))
23.0ms
(/ (* x z) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0518847
12604715
25001645

prune217.0ms

Filtered
145 candidates to 82 candidates (56.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(/ 1 (* x z))
6.8b
(* (* (cosh x) y) (/ 1 (* x z)))

rewrite20.0ms

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-*r*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-*l/
3×cosh-def associate-/l* add-log-exp
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
3 → 89
Calls
3 calls:
4.0ms
(* (cosh x) y)
4.0ms
(/ 1 (* x z))
9.0ms
(* (* (cosh x) y) (/ 1 (* x z)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (cosh x) y)
12.0ms
(/ 1 (* x z))
111.0ms
(* (* (cosh x) y) (/ 1 (* x z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0417505
11972401
25001386

prune126.0ms

Filtered
98 candidates to 50 candidates (51.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

95% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.3b

bsearch110.0ms

Steps
ItersRangePoint
10
7.439970698141733e-47
2.9839476105534983e-36
2.958024885914409e-36
10
-1.4692311646642179e+18
-21754618.13974568
-3785470974.5257072

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03613
13613

end0.0ms

sample1.1s

Algorithm
intervals
Results
608.0ms22576×body80valid