Details

Time bar (total: 3.6s)

sample46.0ms

Algorithm
intervals
Results
28.0ms730×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 7.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.7b
(/ (* (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)

series250.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(cosh x)
83.0ms
(* (cosh x) (/ y x))
117.0ms
(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365414
11576354
25001354

prune155.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
6.4b
(/ y (* x z))

rewrite18.0ms

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)
11.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

series189.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(cosh x)
117.0ms
(* (cosh x) (/ y (* x z)))
21.0ms
(/ y (* x z))

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0279330
11152276
25001276

prune123.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh156
Picked011
Done000
Total66874

Merged error: 0b

Counts
74 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
0.2b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
6.4b
(/ (* z x) y)

rewrite22.0ms

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))
11.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.0ms
(/ (* z x) y)

series161.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (exp (* -1 x)) (exp x))
113.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
19.0ms
(/ (* z x) y)

simplify61.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0441683
12493545
25001545

prune177.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh066
Picked011
Done011
Total82890

Merged error: 0b

Counts
90 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.7b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
36×add-cbrt-cube
25×prod-exp
17×add-sqr-sqrt div-exp
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
11×pow1
9×cbrt-undiv
7×associate-*l/
6×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/ add-log-exp
3×associate-/r*
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
4 → 102
Calls
4 calls:
1.0ms
(cosh x)
4.0ms
(* (cosh x) y)
13.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series331.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cosh x)
74.0ms
(* (cosh x) y)
85.0ms
(* (* (cosh x) y) (/ 1 x))
125.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0538651
12766513
25001499

prune173.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done022
Total1148122

Merged error: 0b

Counts
122 → 8

regimes217.0ms

Accuracy

90.2% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 7.0b

bsearch63.0ms

Steps
ItersRangePoint
6
4.230325854432792e+97
4.331783037487161e+98
4.319678516267531e+97
4
-2.785310179382967e-08
-1.4174312616962401e-08
-2.3801516175586775e-08

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample1.3s

Algorithm
intervals
Results
814.0ms22321×body80valid

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