Details

Time bar (total: 2.1s)

analyze882.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 35.232906%

Guaranteed chance to sample good point: 76.442081%

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms198×body80invalid

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: 7.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
30.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune79.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
4.4b
(/ y (* x z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series33.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (cosh x) (/ y (* x z)))
7.0ms
(/ y (* x z))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0252290
11032239
25002239

prune57.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New53356
Fresh426
Picked011
Done011
Total57764

Merged error: 0b

Counts
64 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.6b
(/ 1 (/ (* x z) y))
4.4b
(/ (* x z) y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
61×add-exp-log
43×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-cbrt-cube
26×div-exp associate-*r*
17×prod-exp
12×cbrt-undiv
10×associate-/r* div-inv
7×cbrt-unprod
6×pow1 rec-exp 1-exp
4×associate-/l*
3×associate-*l* add-log-exp unswap-sqr
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 136
Calls
3 calls:
12.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms
(/ 1 (/ (* x z) y))
4.0ms
(/ (* x z) y)

series44.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
5.0ms
(/ 1 (/ (* x z) y))
5.0ms
(/ (* x z) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0511845
12547713
25001643

prune100.0ms

Filtered
80 candidates to 145 candidates (-81.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1432145
Fresh224
Picked011
Done022
Total1457152

Merged error: 0b

Counts
152 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
10.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series46.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (cosh x) (/ y x))
27.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify61.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0508578
12430472
25002443

prune60.0ms

Filtered
54 candidates to 90 candidates (-66.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New89190
Fresh123
Picked011
Done033
Total90797

Merged error: 0b

Counts
97 → 7

regimes379.0ms

bsearch0.0ms

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