Details

Time bar (total: 3.2s)

analyze625.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.625666%

Guaranteed chance to sample good point: 83.722995%

sample16.0ms

Algorithm
intervals
Results
6.0ms246×body80valid
1.0ms6×body640valid
0.0ms11×body80invalid
0.0ms2×body1280valid
0.0ms2×body320valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
11.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune41.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343

Merged error: 0.0b

Counts
43 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z (+ x 5.0)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×associate-+r+
1×pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
4.0ms
(+ (* x y) (* z (+ x 5.0)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(+ (* x y) (* z (+ x 5.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0115101
148892
2264492
3500192

prune19.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done011
Total16319

Merged error: 0.0b

Counts
19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (+ y z)) (* z 5.0))
0.1b
(sqrt (+ (* x (+ y z)) (* z 5.0)))
0.1b
(sqrt (+ (* x (+ y z)) (* z 5.0)))
0.3b
(* (sqrt (+ (* x (+ y z)) (* z 5.0))) (sqrt (+ (* x (+ y z)) (* z 5.0))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-+l+ associate-*r/ associate-*l/
1×+-commutative pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
6.0ms
(+ (* x (+ y z)) (* z 5.0))
6.0ms
(sqrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms
(sqrt (+ (* x (+ y z)) (* z 5.0)))
15.0ms
(* (sqrt (+ (* x (+ y z)) (* z 5.0))) (sqrt (+ (* x (+ y z)) (* z 5.0))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x (+ y z)) (* z 5.0))
18.0ms
(sqrt (+ (* x (+ y z)) (* z 5.0)))
18.0ms
(sqrt (+ (* x (+ y z)) (* z 5.0)))
10.0ms
(* (sqrt (+ (* x (+ y z)) (* z 5.0))) (sqrt (+ (* x (+ y z)) (* z 5.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0286960
11139880
25002852

prune130.0ms

Filtered
67 candidates to 112 candidates (-67.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh000
Picked011
Done022
Total1114115

Merged error: 0.0b

Counts
115 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (* x (+ y z)) (* z 5.0))))
0.1b
(sqrt (sqrt (+ (* x (+ y z)) (* z 5.0))))
0.2b
(* (pow (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))) 3) (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))))
0.4b
(pow (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))) 3)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
36×sqrt-div
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×flip3-+ associate-*r* flip-+
8×cube-div
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×frac-times rem-sqrt-square add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 163
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ (* x (+ y z)) (* z 5.0))))
6.0ms
(sqrt (sqrt (+ (* x (+ y z)) (* z 5.0))))
23.0ms
(* (pow (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))) 3) (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))))
9.0ms
(pow (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))) 3)

series194.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (sqrt (+ (* x (+ y z)) (* z 5.0))))
44.0ms
(sqrt (sqrt (+ (* x (+ y z)) (* z 5.0))))
8.0ms
(* (pow (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))) 3) (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))))
100.0ms
(pow (sqrt (sqrt (+ (* x (+ y z)) (* z 5.0)))) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05162195
122131934
250021727

prune249.0ms

Filtered
88 candidates to 175 candidates (-98.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1723175
Fresh000
Picked101
Done033
Total1736179

Merged error: 0.0b

Counts
179 → 6

regimes284.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

analyze627.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.625666%

Guaranteed chance to sample good point: 83.722995%

sample433.0ms

Algorithm
intervals
Results
210.0ms7657×body80valid
16.0ms142×body640valid
11.0ms97×body1280valid
9.0ms351×body80invalid
5.0ms70×body320valid
2.0ms34×body160valid

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