Details

Time bar (total: 2.9s)

analyze320.0ms

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

sample27.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms239×body80invalid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049658
149658

prune9.0ms

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)))
6.1b
(/ 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))

series35.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (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
05071459

prune60.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51556
Fresh101
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (* (/ x y) z)))
0.4b
(/ 1 (* (/ x y) z))
5.7b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-cbrt-cube
24×prod-exp
23×add-sqr-sqrt
19×div-exp
16×add-cube-cbrt *-un-lft-identity times-frac associate-*l*
11×associate-*r*
10×pow1 cbrt-unprod
9×cbrt-undiv
6×rec-exp 1-exp
4×associate-*l/
3×pow-prod-down div-inv associate-/l* add-log-exp unswap-sqr
2×cosh-def pow-flip associate-/r/ *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 104
Calls
3 calls:
9.0ms
(* (cosh x) (/ 1 (* (/ x y) z)))
6.0ms
(/ 1 (* (/ x y) z))
6.0ms
(* (/ x y) z)

series40.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (cosh x) (/ 1 (* (/ x y) z)))
5.0ms
(/ 1 (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05048805

prune85.0ms

Filtered
64 candidates to 113 candidates (-76.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1112113
Fresh134
Picked011
Done011
Total1127119

Merged error: 0b

Counts
119 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
6.7b
(* (/ 1 x) (/ y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
4×rec-exp cosh-def 1-exp pow-prod-down associate-*l/
2×*-commutative div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
9.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
12.0ms
(* (/ 1 x) (/ y z))

series32.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
5.0ms
(* (/ 1 x) (/ y z))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04988791
14988791

prune78.0ms

Filtered
57 candidates to 97 candidates (-70.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done022
Total977104

Merged error: 0b

Counts
104 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×cosh-def add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 137
Calls
2 calls:
14.0ms
(* (cosh x) (/ (/ y x) z))
6.0ms
(/ (/ y x) z)

series33.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (cosh x) (/ (/ y x) z))
5.0ms
(/ (/ y x) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050491525

prune104.0ms

Filtered
114 candidates to 143 candidates (-25.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1430143
Fresh033
Picked011
Done033
Total1437150

Merged error: 0b

Counts
150 → 7

regimes206.0ms

Accuracy

96.6% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.6b

bsearch371.0ms

Steps
ItersRangePoint
6
9.662652978169535e-21
7.811218694609518e-20
7.683530187583295e-20
9
-5.018967336726393e-25
-1.1343804102242133e-33
-2.2907807753216466e-29

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02225
12225

end0.0ms

analyze315.0ms

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

sample793.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid
238.0ms7243×body80invalid

Profiling

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