Details

Time bar (total: 2.4s)

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

sample29.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms225×body80invalid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050578

prune13.0ms

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 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
6.3b
(/ y (* x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
26.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify44.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04966520
14966520

prune70.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64367
Fresh011
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ 1 (* (/ x y) z)))
0.6b
(/ 1 (* (/ x y) z))
6.0b
(* (/ x y) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×add-cbrt-cube
24×add-sqr-sqrt prod-exp
19×div-exp
17×add-cube-cbrt *-un-lft-identity
16×times-frac associate-*l*
11×pow1 associate-*r*
10×cbrt-unprod
9×cbrt-undiv
6×rec-exp 1-exp
4×associate-*l/ add-log-exp
3×cosh-def pow-prod-down div-inv associate-/l* unswap-sqr
2×pow-flip associate-/r/ *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 112
Calls
4 calls:
1.0ms
(cosh x)
10.0ms
(* (cosh x) (/ 1 (* (/ x y) z)))
6.0ms
(/ 1 (* (/ x y) z))
6.0ms
(* (/ x y) z)

series41.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
25.0ms
(* (cosh x) (/ 1 (* (/ x y) z)))
5.0ms
(/ 1 (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04956856
14956856

prune97.0ms

Filtered
76 candidates to 124 candidates (-63.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1222124
Fresh123
Picked011
Done011
Total1236129

Merged error: 0b

Counts
129 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
9.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series47.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
15.0ms
(* (cosh x) (/ y x))
25.0ms
(/ (* (cosh x) (/ y x)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04959631
14959631

prune70.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done022
Total77683

Merged error: 0b

Counts
83 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ y x) (/ 1 z)))
6.9b
(* (/ y x) (/ 1 z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-sqr-sqrt
33×add-cbrt-cube
25×times-frac prod-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
8×cbrt-undiv
7×frac-times associate-*r/
6×cosh-def unswap-sqr
4×rec-exp 1-exp pow-prod-down associate-*l/
3×un-div-inv add-log-exp
2×*-commutative div-inv
Counts
3 → 102
Calls
3 calls:
1.0ms
(cosh x)
10.0ms
(* (cosh x) (* (/ y x) (/ 1 z)))
13.0ms
(* (/ y x) (/ 1 z))

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
26.0ms
(* (cosh x) (* (/ y x) (/ 1 z)))
5.0ms
(* (/ y x) (/ 1 z))

simplify48.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04998873
14998873

prune79.0ms

Filtered
70 candidates to 111 candidates (-58.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done033
Total1116117

Merged error: 0b

Counts
117 → 6

regimes361.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
12346

end0.0ms

sample836.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid
248.0ms7215×body80invalid

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