Details

Time bar (total: 2.9s)

analyze527.0ms

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
8.0ms240×body80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049658
149658

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: 0.2b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.6b
(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

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)

series42.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04986570
14986570

prune82.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60666
Fresh011
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (* x (/ z y)))
6.3b
(* x (/ z y))

rewrite14.0ms

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 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 57
Calls
2 calls:
6.0ms
(/ (cosh x) (* x (/ z y)))
6.0ms
(* x (/ z y))

series33.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (cosh x) (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify51.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04964504
14964504

prune75.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New58563
Fresh516
Picked011
Done011
Total63871

Merged error: 0b

Counts
71 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cosh x) z)
0.2b
(* y (/ (cosh x) z))
6.2b
(* (/ 1 x) (* y (/ (cosh x) z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
22×prod-exp
16×associate-*l*
14×associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times cosh-def frac-2neg associate-*l/ clear-num associate-/l/
Counts
3 → 105
Calls
3 calls:
3.0ms
(/ (cosh x) z)
6.0ms
(* y (/ (cosh x) z))
9.0ms
(* (/ 1 x) (* y (/ (cosh x) z)))

series63.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (cosh x) z)
23.0ms
(* y (/ (cosh x) z))
27.0ms
(* (/ 1 x) (* y (/ (cosh x) z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05098976

prune100.0ms

Filtered
76 candidates to 114 candidates (-50.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1122114
Fresh325
Picked011
Done022
Total1157122

Merged error: 0b

Counts
122 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (cosh x) (* x z))
9.6b
(* (/ (cosh x) (* x z)) y)

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-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×div-inv add-log-exp
1×cosh-def frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 49
Calls
2 calls:
4.0ms
(/ (cosh x) (* x z))
6.0ms
(* (/ (cosh x) (* x z)) y)

series43.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ (cosh x) (* x z))
29.0ms
(* (/ (cosh x) (* x z)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04972491
14972491

prune40.0ms

Filtered
37 candidates to 55 candidates (-48.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New54155
Fresh123
Picked011
Done033
Total55762

Merged error: 0b

Counts
62 → 7

regimes367.0ms

Accuracy

94.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
12346

end0.0ms

analyze330.0ms

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

sample818.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid
241.0ms7289×body80invalid

Profiling

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