Details

Time bar (total: 3.5s)

sample39.0ms

Algorithm
intervals
Results
20.0ms776×body80valid

simplify59.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (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)

series247.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(cosh x)
84.0ms
(* (cosh x) (/ y x))
117.0ms
(/ (* (cosh x) (/ y x)) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0372414
11616354
25001354

prune179.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69877
Fresh000
Picked101
Done000
Total70878

Merged error: 0.0b

Counts
78 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
5.9b
(/ (* (cosh x) y) (* z x))

rewrite12.0ms

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))

series235.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(cosh x)
71.0ms
(* (cosh x) y)
113.0ms
(/ (* (cosh x) y) (* z x))

simplify47.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0302298
11449240
25001240

prune132.0ms

Filtered
58 candidates to 41 candidates (70.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh347
Picked101
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (cosh x)) y)
0.0b
(cosh x)
0.0b
(cosh x)
5.9b
(/ (* (sqrt (cosh x)) (* (sqrt (cosh x)) y)) (* z x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×prod-exp cbrt-unprod
7×add-cube-cbrt cosh-def *-un-lft-identity
6×pow1 cbrt-undiv div-exp associate-*l*
5×sqrt-div
4×associate-*l/ sqrt-prod add-log-exp
3×associate-*r* associate-/l/
2×unswap-sqr
1×frac-times frac-2neg times-frac associate-*r/ pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 67
Calls
4 calls:
5.0ms
(* (sqrt (cosh x)) y)
1.0ms
(cosh x)
1.0ms
(cosh x)
10.0ms
(/ (* (sqrt (cosh x)) (* (sqrt (cosh x)) y)) (* z x))

series320.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (sqrt (cosh x)) y)
50.0ms
(cosh x)
44.0ms
(cosh x)
120.0ms
(/ (* (sqrt (cosh x)) (* (sqrt (cosh x)) y)) (* z x))

simplify58.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0382510
12141414
25001389

prune203.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76379
Fresh336
Picked011
Done000
Total79786

Merged error: 0.0b

Counts
86 → 7

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(cosh x)
0.0b
(* (cosh x) y)
6.3b
(/ (/ (* (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:
4.0ms
(/ (* (cosh x) y) z)
1.0ms
(cosh x)
4.0ms
(* (cosh x) y)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series319.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (* (cosh x) y) z)
51.0ms
(cosh x)
71.0ms
(* (cosh x) y)
113.0ms
(/ (/ (* (cosh x) y) z) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0446635
11898563
25001563

prune224.0ms

Filtered
109 candidates to 84 candidates (77.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh325
Picked101
Done011
Total1115116

Merged error: 0.0b

Counts
116 → 5

regimes115.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.8b

bsearch95.0ms

Steps
ItersRangePoint
7
1.3705884739249824e+26
1.9235933371893114e+28
9.213608132896887e+26
9
-1.1053968796375665e-23
-6.907514097030448e-31
-1.7239256270070378e-25

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04021
14021

end0.0ms

sample1.0s

Algorithm
intervals
Results
594.0ms22188×body80valid