Details

Time bar (total: 2.3s)

sample40.0ms

Algorithm
intervals
Results
21.0ms692×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

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: 8.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.0b
(/ (* (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:
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series190.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ y x))
114.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0338374
11422317
25002317

prune136.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh000
Picked101
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
6.4b
(/ (* (cosh x) y) (* z x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
3×associate-*r* associate-*l*
2×cosh-def associate-*l/ add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* (cosh x) y)
6.0ms
(/ (* (cosh x) y) (* z x))

series179.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (cosh x) y)
111.0ms
(/ (* (cosh x) y) (* z x))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0276258
11350203
25002203

prune87.0ms

Filtered
47 candidates to 32 candidates (68.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh336
Picked011
Done000
Total46854

Merged error: 0b

Counts
54 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(/ 1 (* z x))
7.1b
(* (* (cosh x) y) (/ 1 (* z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-*l/
3×cosh-def associate-/l* add-log-exp
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
3 → 89
Calls
3 calls:
4.0ms
(* (cosh x) y)
4.0ms
(/ 1 (* z x))
10.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* (cosh x) y)
9.0ms
(/ 1 (* z x))
111.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0414502
12021398
25001383

prune123.0ms

Filtered
98 candidates to 50 candidates (51.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done011
Total988106

Merged error: 0b

Counts
106 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
6.4b
(/ (* (* (cosh x) (* (cbrt y) (cbrt y))) (cbrt y)) (* z x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
26×add-cbrt-cube
16×prod-exp cbrt-unprod
9×cbrt-prod
8×cbrt-undiv div-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-log-exp
3×pow1/3
2×associate-*l/
1×cosh-def frac-2neg times-frac clear-num associate-/r* div-inv associate-/l/ associate-/l*
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(/ (* (* (cosh x) (* (cbrt y) (cbrt y))) (cbrt y)) (* z x))

series670.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
174.0ms
(cbrt y)
181.0ms
(cbrt y)
142.0ms
(/ (* (* (cosh x) (* (cbrt y) (cbrt y))) (cbrt y)) (* z x))

simplify58.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0354543
12032389
25001348

prune139.0ms

Filtered
75 candidates to 52 candidates (69.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh055
Picked011
Done022
Total75883

Merged error: 0b

Counts
83 → 8

regimes192.0ms

bsearch2.0ms

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