Details

Time bar (total: 2.3s)

analyze327.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
28.1%67.9%4%9
40.6%53%6.4%10
49.1%42.9%7.9%11
51.5%37.7%10.8%12
59.1%26.9%14%13
63.7%21.8%14.5%14

sample16.0ms

Algorithm
intervals
Results
6.0ms247×body80valid
1.0ms25×body80invalid
0.0ms4×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0309
1309

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))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
10.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify26.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05230356

prune46.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-+r+ 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:
3.0ms
(+ (* x y) (* z (+ x 5.0)))
5.0ms
(* z (+ x 5.0))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (* x y) (* z (+ x 5.0)))
5.0ms
(* z (+ x 5.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05056356

prune61.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh112
Picked101
Done011
Total40646

Merged error: 0.0b

Counts
46 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
2.2b
(* z (- (* x x) (* 5.0 5.0)))
7.2b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
9.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series40.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
12.0ms
(* z (- (* x x) (* 5.0 5.0)))
14.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05005805

prune96.0ms

Filtered
54 candidates to 72 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh224
Picked101
Done011
Total73578

Merged error: 0.0b

Counts
78 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ 1 (/ (/ 1 (+ x 5.0)) z)))
0.0b
(/ 1 (+ x 5.0))
0.3b
(/ 1 (/ (/ 1 (+ x 5.0)) z))
0.3b
(/ (/ 1 (+ x 5.0)) z)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
648×times-frac
399×*-un-lft-identity
295×add-sqr-sqrt add-cube-cbrt
65×associate-/r*
52×add-exp-log distribute-lft-out
36×div-exp
35×associate-/r/
24×associate-/l*
23×div-inv
20×add-cbrt-cube
18×flip3-+ flip-+
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 406
Calls
4 calls:
36.0ms
(+ (* x y) (/ 1 (/ (/ 1 (+ x 5.0)) z)))
5.0ms
(/ 1 (+ x 5.0))
16.0ms
(/ 1 (/ (/ 1 (+ x 5.0)) z))
9.0ms
(/ (/ 1 (+ x 5.0)) z)

series18.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (/ 1 (/ (/ 1 (+ x 5.0)) z)))
2.0ms
(/ 1 (+ x 5.0))
4.0ms
(/ 1 (/ (/ 1 (+ x 5.0)) z))
5.0ms
(/ (/ 1 (+ x 5.0)) z)

simplify106.0ms

Algorithm
egg-herbie
Counts
418 → 418
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050965481

prune372.0ms

Filtered
198 candidates to 418 candidates (-111.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4180418
Fresh033
Picked011
Done011
Total4185423

Merged error: 0.0b

Counts
423 → 5

regimes209.0ms

Accuracy

0% (0.1b 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
0129
1129

end0.0ms

analyze314.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
28.1%67.9%4%9
40.6%53%6.4%10
49.1%42.9%7.9%11
51.5%37.7%10.8%12
59.1%26.9%14%13
63.7%21.8%14.5%14

sample412.0ms

Algorithm
intervals
Results
204.0ms7664×body80valid
16.0ms643×body80invalid
13.0ms111×body1280valid
12.0ms129×body640valid
4.0ms61×body320valid
2.0ms35×body160valid

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