Details

Time bar (total: 3.2s)

sample42.0ms

Algorithm
intervals
Results
24.0ms717×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

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: 7.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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

series236.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh x)
77.0ms
(* (cosh x) (/ y x))
111.0ms
(/ (* (cosh x) (/ y x)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0365414
11576354
25001354

prune152.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New68977
Fresh000
Picked101
Done000
Total69978

Merged error: 0.0b

Counts
78 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
5.8b
(/ y (* x z))

rewrite17.0ms

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)
10.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh x)
111.0ms
(* (cosh x) (/ y (* x z)))
20.0ms
(/ y (* x z))

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0279330
11152276
25001276

prune116.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh268
Picked011
Done000
Total67976

Merged error: 0b

Counts
76 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
0.5b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.7b
(/ (* z x) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
11×*-un-lft-identity
10×associate-/r*
9×add-sqr-sqrt add-cube-cbrt
6×prod-exp cbrt-unprod
5×add-log-exp
4×div-inv
3×pow1
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l/ associate-/l*
1×+-commutative sum-log associate-/r/ distribute-lft-out
Counts
3 → 73
Calls
3 calls:
4.0ms
(+ (exp (* -1 x)) (exp x))
10.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.0ms
(/ (* z x) y)

series145.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (exp (* -1 x)) (exp x))
102.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
17.0ms
(/ (* z x) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0441683
12493545
25001545

prune159.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh077
Picked011
Done011
Total82991

Merged error: 0b

Counts
91 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.2b
(/ 1 (* x z))
6.1b
(* y (/ 1 (* x z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×add-cbrt-cube
31×prod-exp
14×pow1
13×cbrt-unprod
12×add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
4×cosh-def add-log-exp
3×un-div-inv associate-/l*
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
4 → 99
Calls
4 calls:
1.0ms
(cosh x)
9.0ms
(* (cosh x) (* y (/ 1 (* x z))))
4.0ms
(/ 1 (* x z))
11.0ms
(* y (/ 1 (* x z)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cosh x)
110.0ms
(* (cosh x) (* y (/ 1 (* x z))))
12.0ms
(/ 1 (* x z))
20.0ms
(* y (/ 1 (* x z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0387520
11749414
25001394

prune122.0ms

Filtered
111 candidates to 59 candidates (53.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh066
Picked011
Done022
Total1119120

Merged error: 0b

Counts
120 → 9

regimes284.0ms

Accuracy

94.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.6b

bsearch96.0ms

Steps
ItersRangePoint
8
1.5713622961640186e-15
1.279269338301197e-12
2.3102320434636655e-13
8
-9.290117511011084e+58
-5.330556582888032e+55
-2.3374584650492343e+57

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample1.1s

Algorithm
intervals
Results
685.0ms22193×body80valid

Profiling

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