Details

Time bar (total: 2.3s)

sample39.0ms

Algorithm
intervals
Results
21.0ms694×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune6.0ms

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: 6.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.1b
(/ (* (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)
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series230.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(cosh x)
76.0ms
(* (cosh x) (/ y x))
110.0ms
(/ (* (cosh x) (/ y x)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365414
11576354
25001354

prune142.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New71677
Fresh000
Picked011
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))
6.2b
(* (* (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))

series231.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(cosh x)
76.0ms
(* (cosh x) (/ y x))
112.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify67.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0535618
12653509
25003471

prune154.0ms

Filtered
101 candidates to 64 candidates (63.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh235
Picked011
Done101
Total1035108

Merged error: 0.0b

Counts
108 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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)
8.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series312.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cosh x)
71.0ms
(* (cosh x) y)
77.0ms
(* (* (cosh x) y) (/ 1 x))
113.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0538651
12766513
25001499

prune166.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh123
Picked101
Done011
Total1145119

Merged error: 0b

Counts
119 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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

series315.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cosh x)
65.0ms
(* (cosh x) y)
83.0ms
(/ (* (cosh x) y) z)
114.0ms
(/ (/ (* (cosh x) y) z) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0439635
11867563
25002563

prune185.0ms

Filtered
109 candidates to 84 candidates (77.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh033
Picked011
Done011
Total1095114

Merged error: 0b

Counts
114 → 5

regimes128.0ms

bsearch2.0ms

Profiling

Loading profile data...