Details

Time bar (total: 4.2s)

sample922.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.583252%

Guaranteed chance to sample good point: 82.161411%

Results
16.0ms366×body80invalid
8.0ms256×body80valid

simplify54.0ms

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: 9.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.4b
(/ (* (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)

series44.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (cosh x) (/ y x))
26.0ms
(/ (* (cosh x) (/ y x)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune82.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh000
Picked101
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
4.3b
(/ 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:
6.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series32.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0252290
11032239
25002239

prune66.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh156
Picked011
Done000
Total54963

Merged error: 0.0b

Counts
63 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.3b
(/ (* z x) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
10×associate-/r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
4×div-inv
2×pow1 frac-2neg associate-*r/ clear-num associate-/l/ associate-/l* add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 61
Calls
2 calls:
9.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.0ms
(/ (* z x) y)

series30.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.0ms
(/ (* z x) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0395582
12337455
25001455

prune90.0ms

Filtered
45 candidates to 67 candidates (-48.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh077
Picked011
Done011
Total661076

Merged error: 0b

Counts
76 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.2b
(/ 1 (* x z))
4.4b
(* y (/ 1 (* x z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×cosh-def un-div-inv associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 91
Calls
3 calls:
9.0ms
(* (cosh x) (* y (/ 1 (* x z))))
4.0ms
(/ 1 (* x z))
7.0ms
(* y (/ 1 (* x z)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (cosh x) (* y (/ 1 (* x z))))
2.0ms
(/ 1 (* x z))
5.0ms
(* y (/ 1 (* x z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0360480
11588377
25001367

prune59.0ms

Filtered
48 candidates to 100 candidates (-108.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New991100
Fresh167
Picked011
Done022
Total10010110

Merged error: 0b

Counts
110 → 10

regimes398.0ms

Accuracy

91.2% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.7b

bsearch69.0ms

Steps
ItersRangePoint
8
3.3149632253941803e+50
2.89387362301979e+53
7.545559748647389e+50
8
-5.197411557843636e+47
-1.0706767424317122e+45
-1.0831124012591272e+45

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.583252%

Guaranteed chance to sample good point: 82.161411%

Results
350.0ms10562×body80invalid
263.0ms8000×body80valid

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