Details

Time bar (total: 2.8s)

analyze252.0ms

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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify152.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (150.0ms)

IterNodesCost
042299
142299

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 64
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04941923
14941923

prune116.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New601070
Fresh000
Picked011
Done000
Total601171

Merged error: 4.9b

Counts
71 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
6.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 111
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (- 1.0 (/ y z)))
12.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
061291262

prune150.0ms

Filtered
73 candidates to 120 candidates (-64.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh279
Picked011
Done011
Total12011131

Merged error: 4.9b

Counts
131 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 209
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify80.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
056013558

prune221.0ms

Filtered
122 candidates to 218 candidates (-78.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2162218
Fresh358
Picked101
Done022
Total2209229

Merged error: 0.0b

Counts
229 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.3b
(/ 1 (- 1.0 (/ y z)))
6.7b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
1166×times-frac
724×add-sqr-sqrt
696×*-un-lft-identity
414×add-cube-cbrt
124×difference-of-squares
93×associate-/r/
79×distribute-lft-out
62×distribute-lft-out--
52×add-exp-log
47×div-inv
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
21×flip3-- flip--
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 602
Calls
4 calls:
6.0ms
(- 1.0 (/ y z))
5.0ms
(/ 1 (+ x y))
8.0ms
(/ 1 (- 1.0 (/ y z)))
26.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ y z))
4.0ms
(/ 1 (+ x y))
5.0ms
(/ 1 (- 1.0 (/ y z)))
17.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify167.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
0512913187

prune489.0ms

Filtered
245 candidates to 614 candidates (-150.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New6131614
Fresh066
Picked011
Done022
Total61310623

Merged error: 0.0b

Counts
623 → 10

regimes395.0ms

Accuracy

93.2% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05149
15149

end0.0ms

sample401.0ms

Algorithm
intervals
Results
240.0ms7997×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body320valid

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