Details

Time bar (total: 2.9s)

sample49.0ms

Algorithm
intervals
Results
22.0ms670×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.5b
(/ (* (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)

series53.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
17.0ms
(* (cosh x) (/ y x))
30.0ms
(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0365414
11576354
25001354

prune94.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70777
Fresh000
Picked011
Done000
Total70878

Merged error: 0.0b

Counts
78 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
6.0ms
(* (cosh x) (/ y (* x z)))
1.0ms
(cosh x)
4.0ms
(/ y (* x z))

series38.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (cosh x) (/ y (* x z)))
6.0ms
(cosh x)
5.0ms
(/ y (* x z))

simplify35.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0279330
11152276
25002276

prune72.0ms

Filtered
48 candidates to 67 candidates (-39.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New64367
Fresh336
Picked011
Done011
Total67875

Merged error: 0.0b

Counts
75 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (cosh x) x)
6.3b
(* (/ (cosh x) x) (/ y z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
31×times-frac
25×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l* add-log-exp
2×cosh-def
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(/ (cosh x) x)
10.0ms
(* (/ (cosh x) x) (/ y z))

series44.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cosh x)
10.0ms
(/ (cosh x) x)
27.0ms
(* (/ (cosh x) x) (/ y z))

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0451545
11891487
25002487

prune93.0ms

Filtered
74 candidates to 95 candidates (-28.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93295
Fresh235
Picked011
Done112
Total967103

Merged error: 0b

Counts
103 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.9b
(* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×add-sqr-sqrt
18×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
14×times-frac
13×cbrt-undiv div-exp associate-*l*
9×cbrt-prod
6×pow1
5×associate-*r*
4×add-log-exp unswap-sqr
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 87
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
25.0ms
(cbrt z)
22.0ms
(cbrt z)
51.0ms
(* (/ (cosh x) x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0546999
12456785
25001701

prune77.0ms

Filtered
67 candidates to 99 candidates (-47.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done022
Total997106

Merged error: 0b

Counts
106 → 7

regimes380.0ms

Accuracy

76.5% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 2.3b

bsearch66.0ms

Steps
ItersRangePoint
6
1.5462020434033038e-11
7.234268042571219e-11
7.135119667167691e-11
10
-1.9695902436192502e+78
-6.498612699557255e+67
-1.4143874604773077e+68

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample1.4s

Algorithm
intervals
Results
744.0ms22474×body80valid

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