Details

Time bar (total: 2.3s)

analyze335.0ms

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

sample31.0ms

Algorithm
intervals
Results
10.0ms230×body80invalid
8.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (58.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
7.7b
(/ 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))

series32.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04986459
14986459

prune66.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New50656
Fresh101
Picked011
Done000
Total51758

Merged error: 0.0b

Counts
58 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
7.2b
(* (/ (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))

series36.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (cosh x) x)
26.0ms
(* (/ (cosh x) x) (/ y z))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04981782
14981782

prune90.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh145
Picked101
Done101
Total83891

Merged error: 0.0b

Counts
91 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

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

series50.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (cosh x) (/ y z))
26.0ms
(/ (* (cosh x) (/ y z)) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04982574
14982574

prune75.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64266
Fresh257
Picked011
Done000
Total66874

Merged error: 0b

Counts
74 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(/ y (* z (cbrt x)))
2.8b
(* (/ (cosh x) (* (cbrt x) (cbrt x))) (/ y (* z (cbrt x))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
16×add-sqr-sqrt prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×associate-*r* associate-*l*
6×pow1 cbrt-prod
4×add-log-exp
3×div-inv associate-/l*
2×pow1/3 unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ y (* z (cbrt x)))
12.0ms
(* (/ (cosh x) (* (cbrt x) (cbrt x))) (/ y (* z (cbrt x))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
18.0ms
(/ y (* z (cbrt x)))
32.0ms
(* (/ (cosh x) (* (cbrt x) (cbrt x))) (/ y (* z (cbrt x))))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04930826
14930826

prune75.0ms

Filtered
67 candidates to 101 candidates (-50.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh066
Picked011
Done011
Total1018109

Merged error: 0b

Counts
109 → 8

regimes245.0ms

Accuracy

94.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.9b

bsearch36.0ms

Steps
ItersRangePoint
6
1684369088977735.2
1.004778726793133e+16
8329338495069279.0
7
-56.06929589555557
-0.592857042705723
-5.773158360993168

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02627
12627

end0.0ms

sample780.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
228.0ms7220×body80invalid

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