Details

Time bar (total: 2.5s)

analyze353.0ms

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

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms200×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

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: 0.2b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

series41.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
26.0ms
(/ (* (cosh x) (/ y x)) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05014570

prune86.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh011
Picked101
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.5b
(/ y (* x (cbrt z)))
4.1b
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

rewrite21.0ms

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 z)
1.0ms
(cbrt z)
4.0ms
(/ y (* x (cbrt z)))
11.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
21.0ms
(cbrt z)
17.0ms
(/ y (* x (cbrt z)))
35.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04922828
14922828

prune107.0ms

Filtered
66 candidates to 101 candidates (-53.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh077
Picked011
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt z) 2)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.4b
(/ (* (/ (cosh x) (pow (cbrt z) 2)) y) (* x (cbrt z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
22×add-cbrt-cube
16×div-exp
13×prod-exp
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-undiv
7×cbrt-unprod
6×unpow-prod-down
5×pow1
4×add-log-exp
3×pow-to-exp pow-unpow pow1/3 pow-exp
2×pow-pow
1×frac-2neg times-frac associate-*l/ clear-num associate-/r* div-inv associate-/l/ associate-/l* unpow2 sqr-pow
Counts
4 → 74
Calls
4 calls:
2.0ms
(pow (cbrt z) 2)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(/ (* (/ (cosh x) (pow (cbrt z) 2)) y) (* x (cbrt z)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (cbrt z) 2)
24.0ms
(cbrt z)
20.0ms
(cbrt z)
34.0ms
(/ (* (/ (cosh x) (pow (cbrt z) 2)) y) (* x (cbrt z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05040577

prune100.0ms

Filtered
54 candidates to 86 candidates (-59.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh167
Picked011
Done011
Total86995

Merged error: 0b

Counts
95 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.0b
(* (+ (exp x) (exp (neg x))) (/ y x))
6.1b
(/ (* (+ (exp x) (exp (neg x))) (/ y x)) (* z 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*r*
11×add-cube-cbrt times-frac
9×cbrt-undiv div-exp prod-exp cbrt-unprod
5×pow1 flip3-+ associate-*l* flip-+ associate-/l/ add-log-exp
4×frac-times associate-*l/
2×cosh-undef associate-*r/ div-inv distribute-lft-out unswap-sqr
1×+-commutative frac-2neg pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l*
Counts
3 → 81
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
9.0ms
(* (+ (exp x) (exp (neg x))) (/ y x))
10.0ms
(/ (* (+ (exp x) (exp (neg x))) (/ y x)) (* z 2))

series38.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (exp x) (exp (neg x)))
11.0ms
(* (+ (exp x) (exp (neg x))) (/ y x))
23.0ms
(/ (* (+ (exp x) (exp (neg x))) (/ y x)) (* z 2))

simplify27.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05150963

prune72.0ms

Filtered
60 candidates to 90 candidates (-50.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh156
Picked011
Done022
Total90999

Merged error: 0b

Counts
99 → 9

regimes217.0ms

Accuracy

94.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.0b

bsearch46.0ms

Steps
ItersRangePoint
7
5.085640222234168e-36
5.645173941833536e-34
5.543226388400742e-34
8
-4.0754535697403443e-38
-6.320203703991515e-41
-3.6887628113558124e-38

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03731
13731

end0.0ms

sample811.0ms

Algorithm
intervals
Results
256.0ms8000×body80valid
243.0ms7309×body80invalid

Profiling

Loading profile data...