Details

Time bar (total: 3.1s)

sample96.0ms

Algorithm
intervals
Results
43.0ms733×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
049808
149808

prune25.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)))
7.0ms
(/ y (* x z))

series29.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify30.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05113459

prune60.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh011
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(* (/ x (cbrt y)) z)
2.7b
(/ (* (cbrt y) (cbrt y)) (* (/ x (cbrt y)) z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×add-sqr-sqrt
22×associate-*l*
21×times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
16×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×associate-*r* unswap-sqr
2×pow1/3 associate-*l/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l*
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(* (/ x (cbrt y)) z)
16.0ms
(/ (* (cbrt y) (cbrt y)) (* (/ x (cbrt y)) z))

series73.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
20.0ms
(cbrt y)
21.0ms
(* (/ x (cbrt y)) z)
8.0ms
(/ (* (cbrt y) (cbrt y)) (* (/ x (cbrt y)) z))

simplify68.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04948638
14948638

prune93.0ms

Filtered
72 candidates to 102 candidates (-41.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1002102
Fresh044
Picked011
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
6.5b
(* (/ (cosh x) x) (/ y z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 78
Calls
2 calls:
3.0ms
(/ (cosh x) x)
10.0ms
(* (/ (cosh x) x) (/ y z))

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (cosh x) x)
25.0ms
(* (/ (cosh x) x) (/ y z))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05025782

prune80.0ms

Filtered
64 candidates to 84 candidates (-31.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0.0b

Counts
92 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.2b
(/ 1 (* x z))
6.4b
(* y (/ 1 (* x z)))

rewrite23.0ms

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
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×cosh-def un-div-inv associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 91
Calls
3 calls:
9.0ms
(* (cosh x) (* y (/ 1 (* x z))))
4.0ms
(/ 1 (* x z))
7.0ms
(* y (/ 1 (* x z)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (cosh x) (* y (/ 1 (* x z))))
2.0ms
(/ 1 (* x z))
5.0ms
(* y (/ 1 (* x z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05029689

prune58.0ms

Filtered
50 candidates to 100 candidates (-100.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done033
Total1008108

Merged error: 0.0b

Counts
108 → 8

regimes363.0ms

Accuracy

95.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02235
12235

end0.0ms

sample1.7s

Algorithm
intervals
Results
922.0ms22271×body80valid

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