Details

Time bar (total: 2.8s)

sample52.0ms

Algorithm
intervals
Results
24.0ms722×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

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-*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)

series49.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
15.0ms
(* (cosh x) (/ y x))
28.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0365414
11576354
25001354

prune100.0ms

Filtered
77 candidates to 59 candidates (23.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69877
Fresh000
Picked101
Done000
Total70878

Merged error: 0.3b

Counts
78 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.3b
(* (cosh x) (/ y x))
6.9b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
26×associate-*r*
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
10×pow1
7×cosh-def
6×cbrt-undiv frac-times associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp add-log-exp
2×*-commutative div-inv unswap-sqr
1×un-div-inv
Counts
3 → 92
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
10.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series49.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
18.0ms
(* (cosh x) (/ y x))
25.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify63.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0535618
12653509
25003471

prune84.0ms

Filtered
101 candidates to 65 candidates (35.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh527
Picked011
Done000
Total1054109

Merged error: 0.3b

Counts
109 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) y)
7.0b
(/ (* (cosh x) y) (* z x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*r* associate-*l* add-log-exp
2×associate-*l/
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(cosh x)
4.0ms
(* (cosh x) y)
6.0ms
(/ (* (cosh x) y) (* z x))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
13.0ms
(* (cosh x) y)
26.0ms
(/ (* (cosh x) y) (* z x))

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0297298
11422240
25001240

prune56.0ms

Filtered
58 candidates to 41 candidates (29.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh022
Picked011
Done011
Total57562

Merged error: 0.2b

Counts
62 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (* (cosh x) y) z)
0.2b
(* (cosh x) y)
7.6b
(/ (/ (* (cosh x) y) z) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×pow1 associate-/r* div-inv
4×add-log-exp
3×cosh-def associate-*r* associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
1.0ms
(cosh x)
4.0ms
(/ (* (cosh x) y) z)
4.0ms
(* (cosh x) y)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series68.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
20.0ms
(/ (* (cosh x) y) z)
14.0ms
(* (cosh x) y)
28.0ms
(/ (/ (* (cosh x) y) z) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0439635
11867563
25002563

prune86.0ms

Filtered
109 candidates to 85 candidates (22.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1072109
Fresh112
Picked011
Done022
Total1086114

Merged error: 0.2b

Counts
114 → 6

regimes255.0ms

Accuracy

96.6% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.5b

bsearch75.0ms

Steps
ItersRangePoint
8
0.007132953480602911
4.5153350680125195
0.09465312583389256
11
-474878578748.84283
-4.72853069179343e-11
-0.0014164285059862674

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.6s

Algorithm
intervals
Results
754.0ms22318×body80valid

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