Details

Time bar (total: 3.8s)

sample44.0ms

Algorithm
intervals
Results
25.0ms747×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

series183.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (cosh x) (/ y x))
112.0ms
(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0345374
11456317
25001317

prune130.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
6.8b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite23.0ms

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:
3.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series256.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* (cosh x) y)
78.0ms
(* (* (cosh x) y) (/ 1 x))
110.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0522611
12707476
25001462

prune147.0ms

Filtered
103 candidates to 61 candidates (59.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh257
Picked011
Done000
Total1038111

Merged error: 0.0b

Counts
111 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (* (cosh x) y))
0.0b
(* (cosh x) y)
0.6b
(/ 1 (* (/ z (* (cosh x) y)) x))
6.6b
(* (/ z (* (cosh x) y)) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 associate-*l*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*r* associate-/l*
5×associate-*l/
4×rec-exp 1-exp add-log-exp
3×cosh-def pow-prod-down associate-/r/ div-inv
2×pow-flip frac-2neg clear-num associate-/r* *-commutative unswap-sqr
1×inv-pow
Counts
4 → 106
Calls
4 calls:
4.0ms
(/ z (* (cosh x) y))
4.0ms
(* (cosh x) y)
7.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
7.0ms
(* (/ z (* (cosh x) y)) x)

series412.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ z (* (cosh x) y))
66.0ms
(* (cosh x) y)
144.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
117.0ms
(* (/ z (* (cosh x) y)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0486680
12209564
25001556

prune341.0ms

Filtered
118 candidates to 74 candidates (62.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1162118
Fresh426
Picked101
Done011
Total1215126

Merged error: 0b

Counts
126 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
6.5b
(/ (/ (* (cosh x) y) z) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 89
Calls
3 calls:
4.0ms
(/ (* (cosh x) y) z)
4.0ms
(* (cosh x) y)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series252.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ (* (cosh x) y) z)
66.0ms
(* (cosh x) y)
109.0ms
(/ (/ (* (cosh x) y) z) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0425595
11824526
25001510

prune142.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done011
Total985103

Merged error: 0b

Counts
103 → 5

regimes127.0ms

Accuracy

95.7% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 6.6b

bsearch89.0ms

Steps
ItersRangePoint
8
2.0009970776010306e-07
0.000111245184702244
9.951112810906223e-06
8
-4.315083172910085e-27
-3.052492504070213e-30
-4.0059762358022134e-28

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.3s

Algorithm
intervals
Results
809.0ms22649×body80valid

Profiling

Loading profile data...