Details

Time bar (total: 2.3s)

analyze347.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
18.7%81.1%0.1%5
18.7%81.1%0.1%6
21.8%78%0.1%7
27.3%61.6%11.1%8
28.5%60.5%11.1%9
32.6%53.4%14%10
40.2%38.1%21.7%11
41.8%35.8%22.4%12
44.5%29.2%26.3%13
47.1%21.3%31.6%14

sample30.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms213×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050578

prune10.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
5.3b
(/ 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:
6.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series32.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify55.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04986459
14986459

prune73.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49756
Fresh101
Picked101
Done000
Total51758

Merged error: 0.0b

Counts
58 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (cosh x))
5.3b
(/ (* y (cosh x)) (* x z))

rewrite10.0ms

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-*r/ 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
(* y (cosh x))
5.0ms
(/ (* y (cosh x)) (* x z))

series37.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* y (cosh x))
25.0ms
(/ (* y (cosh x)) (* x z))

simplify41.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04985364
14985364

prune56.0ms

Filtered
32 candidates to 47 candidates (-46.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh156
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.2b
(/ 1 (* x z))
5.5b
(* 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)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (cosh x) (* y (/ 1 (* x z))))
2.0ms
(/ 1 (* x z))
5.0ms
(* y (/ 1 (* x z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05099689

prune75.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh055
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
7.4b
(* (/ (cosh x) x) (/ y z))

rewrite15.0ms

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)
9.0ms
(* (/ (cosh x) x) (/ y z))

series37.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (cosh x) x)
28.0ms
(* (/ (cosh x) x) (/ y z))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04981782
14981782

prune69.0ms

Filtered
65 candidates to 84 candidates (-29.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New82284
Fresh134
Picked011
Done022
Total83891

Merged error: 0b

Counts
91 → 8

regimes229.0ms

Accuracy

95% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch50.0ms

Steps
ItersRangePoint
7
2.3326569444097726e-47
6.548037681166035e-46
5.4305020927789424e-46
7
-0.4202185958349702
-0.0037410463140652266
-0.09626506099155085

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02225
12225

end0.0ms

sample852.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
250.0ms7310×body80invalid

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