Details

Time bar (total: 6.6s)

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 34.453125%

Results
12.0ms175×body80valid
11.0ms33×body640valid
6.0ms9×body1280valid
4.0ms21×body320valid
4.0ms60×body80nan
2.0ms18×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
6.6b
(log (- 1.0 y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×log-prod
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
6×associate-*l*
3×log-pow distribute-lft-out-- add-log-exp difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- rem-log-exp flip--
Counts
3 → 70
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series20.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* z (log (- 1.0 y)))
7.0ms
(* x (log y))
6.0ms
(log (- 1.0 y))

simplify35.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0340429
11217375
25001353

prune126.0ms

Filtered
51 candidates to 79 candidates (-54.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New74579
Fresh000
Picked101
Done000
Total75580

Merged error: 0.0b

Counts
80 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* x (log y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
53×*-un-lft-identity
50×add-cube-cbrt
31×add-exp-log
24×log-prod unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube
12×pow1 prod-exp associate--l+
10×associate-+r+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod
3×associate-*r/ pow-prod-down *-commutative
2×log-pow distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 195
Calls
4 calls:
19.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
11.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series56.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
29.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
15.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms
(* x (log y))

simplify91.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08801531
136971356
250011353

prune395.0ms

Filtered
132 candidates to 207 candidates (-56.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2052207
Fresh044
Picked011
Done000
Total2057212

Merged error: 0.0b

Counts
212 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
24.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify78.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune151.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh145
Picked011
Done011
Total85792

Merged error: 0.0b

Counts
92 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
6.6b
(log (- 1.0 y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod associate-+l+
21×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
12×associate-+r+
6×add-log-exp
5×pow1 add-exp-log
4×add-cbrt-cube
2×log-div pow1/3
1×+-commutative flip3-- flip3-+ rem-log-exp sum-log log-pow flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(log (- 1.0 y))

series70.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms
(cbrt y)
24.0ms
(cbrt y)
3.0ms
(log (- 1.0 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0431668
11252584
25001529

prune150.0ms

Filtered
86 candidates to 98 candidates (-14.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New96298
Fresh314
Picked101
Done022
Total1005105

Merged error: 0.0b

Counts
105 → 5

regimes274.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample3.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 34.453125%

Results
384.0ms5529×body80valid
324.0ms919×body640valid
250.0ms382×body1280valid
156.0ms706×body320valid
141.0ms1951×body80nan
63.0ms464×body160valid
2.0ms35×body80invalid

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