Details

Time bar (total: 3.8s)

sample811.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 35.137939%

Guaranteed chance to sample good point: 76.442081%

Results
8.0ms256×body80valid
6.0ms176×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.0b
(/ (* (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)

simplify39.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0338374
11422317
25002317

prune96.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New57966
Fresh000
Picked101
Done000
Total58967

Merged error: 0.0b

Counts
67 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
10.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series45.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
29.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0508578
12430472
25002443

prune83.0ms

Filtered
55 candidates to 90 candidates (-63.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh358
Picked011
Done000
Total92799

Merged error: 0b

Counts
99 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:
3.0ms
(* (cosh x) y)
4.0ms
(/ (* (cosh x) y) z)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series64.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (cosh x) y)
20.0ms
(/ (* (cosh x) y) z)
29.0ms
(/ (/ (* (cosh x) y) z) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0418595
11797526
25001526

prune96.0ms

Filtered
73 candidates to 98 candidates (-34.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New96298
Fresh235
Picked011
Done011
Total987105

Merged error: 0b

Counts
105 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*r*
10×associate-*l* cbrt-unprod
9×cbrt-undiv
7×pow1
4×unswap-sqr
3×rec-exp 1-exp associate-*l/ associate-/r* div-inv add-log-exp
2×cosh-def pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num un-div-inv associate-/l/ associate-/l*
Counts
3 → 95
Calls
3 calls:
3.0ms
(* (cosh x) y)
4.0ms
(/ (* (cosh x) y) z)
10.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

series63.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (cosh x) y)
21.0ms
(/ (* (cosh x) y) z)
29.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

simplify63.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0516636
12530518
25002502

prune75.0ms

Filtered
66 candidates to 104 candidates (-57.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh044
Picked011
Done022
Total1047111

Merged error: 0b

Counts
111 → 7

regimes279.0ms

Accuracy

96% (0.3b remaining)

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

bsearch101.0ms

Steps
ItersRangePoint
9
0.03333309887369506
2898.498734548996
0.034829860051179565
8
-6.621281152978777e-34
-9.202948659830032e-38
-5.757203736017396e-34

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 35.137939%

Guaranteed chance to sample good point: 76.442081%

Results
277.0ms8000×body80valid
230.0ms6655×body80invalid

Profiling

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