Details

Time bar (total: 3.4s)

analyze370.0ms

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

sample37.0ms

Algorithm
intervals
Results
10.0ms262×body80invalid
10.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.1b
(/ (* (cosh x) (/ y x)) z)

rewrite17.0ms

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:
8.0ms
(* (cosh x) (/ y x))
7.0ms
(/ (* (cosh x) (/ y x)) z)

series55.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (cosh x) (/ y x))
36.0ms
(/ (* (cosh x) (/ y x)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0338374
11422317
25002317

prune102.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
8.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

series36.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (cosh x) (/ y (* x z)))
6.0ms
(/ y (* x z))

simplify37.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0252290
11032239
25002239

prune132.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh167
Picked011
Done000
Total55964

Merged error: 0.0b

Counts
64 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.9b
(/ (* z x) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
10×associate-/r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
4×div-inv
2×pow1 frac-2neg associate-*r/ clear-num associate-/l/ associate-/l* add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 61
Calls
2 calls:
12.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.0ms
(/ (* z x) y)

series29.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.0ms
(/ (* z x) y)

simplify55.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0395582
12337455
25001455

prune90.0ms

Filtered
45 candidates to 67 candidates (-48.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh077
Picked011
Done011
Total661076

Merged error: 0b

Counts
76 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.1b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
4.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series58.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) y)
15.0ms
(* (* (cosh x) y) (/ 1 x))
26.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0517611
12686476
25002462

prune70.0ms

Filtered
61 candidates to 103 candidates (-68.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh077
Picked011
Done022
Total10310113

Merged error: 0b

Counts
113 → 10

regimes349.0ms

Accuracy

95.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.6b

bsearch279.0ms

Steps
ItersRangePoint
6
20035.328109497736
80249.24998041482
27977.863390386676
5
-8.109214026340794e-22
-3.582967519299681e-22
-3.6234241108935322e-22

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

analyze380.0ms

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

sample1.0s

Algorithm
intervals
Results
319.0ms8000×body80valid
299.0ms7157×body80invalid

Profiling

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