Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms286×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
0510811

prune8.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 93
Calls
3 calls:
7.0ms
(+ (/ x y) 1.0)
11.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
21.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
6.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050611226

prune144.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New966102
Fresh011
Picked101
Done000
Total977104

Merged error: 0.0b

Counts
104 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (+ (/ x y) 1.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
20.0ms
(* (cbrt (+ (/ x y) 1.0)) (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))

series147.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
36.0ms
(cbrt (+ (/ x y) 1.0))
34.0ms
(cbrt (+ (/ x y) 1.0))
34.0ms
(cbrt (+ (/ x y) 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050571186

prune203.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done000
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (+ (/ x y) 1.0))
0.3b
(cbrt (+ (/ x y) 1.0))
5.4b
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
34×associate-*r*
30×cbrt-div
28×cbrt-prod times-frac
25×add-exp-log
23×add-sqr-sqrt add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times flip3-+ flip-+
14×distribute-lft-out
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(cbrt (+ (/ x y) 1.0))
8.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
35.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (+ (/ x y) 1.0))
34.0ms
(cbrt (+ (/ x y) 1.0))
35.0ms
(cbrt (+ (/ x y) 1.0))
7.0ms
(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049272307
149272307

prune231.0ms

Filtered
82 candidates to 129 candidates (-57.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh055
Picked011
Done101
Total1297136

Merged error: 0b

Counts
136 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
10.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×flip3-+ times-frac associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
7.0ms
(+ (/ x y) 1.0)
10.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
4.0ms
(* x (+ (/ x y) 1.0))
9.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04968705
14968705

prune73.0ms

Filtered
47 candidates to 71 candidates (-51.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh325
Picked101
Done011
Total74478

Merged error: 0b

Counts
78 → 4

regimes84.0ms

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
01011
11011

end0.0ms

sample522.0ms

Algorithm
intervals
Results
284.0ms9110×body80valid

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