Details

Time bar (total: 2.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms285×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
0510811

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
12.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
17.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
8.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050441112

prune120.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82587
Fresh011
Picked011
Done000
Total82789

Merged error: 0.0b

Counts
89 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(cbrt (+ (/ x y) 1.0))

series123.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ x 1.0))
38.0ms
(cbrt (+ (/ x y) 1.0))
40.0ms
(cbrt (+ (/ x y) 1.0))
38.0ms
(cbrt (+ (/ x y) 1.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05140635

prune196.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh145
Picked011
Done011
Total68775

Merged error: 0.0b

Counts
75 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
7.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(cbrt (+ (/ x y) 1.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (+ (/ x y) 1.0))
37.0ms
(cbrt (+ (/ x y) 1.0))
41.0ms
(cbrt (+ (/ x y) 1.0))
37.0ms
(cbrt (+ (/ x y) 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05104624

prune265.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done022
Total68775

Merged error: 0.0b

Counts
75 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.5b
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
6.0ms
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
15.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
12.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
12.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))) (cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0)))))
41.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
38.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))
38.0ms
(cbrt (* x (/ (+ (/ x y) 1.0) (+ x 1.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
059041102

prune168.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New75176
Fresh033
Picked011
Done123
Total76783

Merged error: 0b

Counts
83 → 7

regimes174.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01937
11937

end0.0ms

sample592.0ms

Algorithm
intervals
Results
328.0ms9176×body80valid

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