Details

Time bar (total: 1.8s)

analyze39.0ms

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
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048899
148899

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x y))
0.0b
(* 2.0 (/ y (- x y)))
6.8b
(* x (* 2.0 (/ y (- x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
5.0ms
(/ y (- x y))
9.0ms
(* 2.0 (/ y (- x y)))
11.0ms
(* x (* 2.0 (/ y (- x y))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (- x y))
7.0ms
(* 2.0 (/ y (- x y)))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05793891

prune89.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh011
Picked011
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ 1 (+ (/ x y) -1)))
0.4b
(/ 1 (+ (/ x y) -1))
6.8b
(* x (* 2.0 (/ 1 (+ (/ x y) -1))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
31×add-exp-log
26×add-cube-cbrt
25×associate-*r*
19×add-cbrt-cube
14×difference-of-sqr--1
13×prod-exp
11×pow1
7×cbrt-unprod distribute-lft-out
6×div-exp associate-*l* associate-/r*
4×associate-*r/ pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-+ un-div-inv *-commutative flip-+ div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 116
Calls
3 calls:
13.0ms
(* 2.0 (/ 1 (+ (/ x y) -1)))
8.0ms
(/ 1 (+ (/ x y) -1))
13.0ms
(* x (* 2.0 (/ 1 (+ (/ x y) -1))))

series17.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* 2.0 (/ 1 (+ (/ x y) -1)))
4.0ms
(/ 1 (+ (/ x y) -1))
7.0ms
(* x (* 2.0 (/ 1 (+ (/ x y) -1))))

simplify57.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
052301139

prune132.0ms

Filtered
75 candidates to 125 candidates (-66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh213
Picked101
Done011
Total1273130

Merged error: 0.0b

Counts
130 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ (* x 2.0) (+ (/ x y) -1))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×times-frac
7×*-un-lft-identity
6×add-exp-log associate-/r* add-cbrt-cube
4×difference-of-sqr--1
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (* x 2.0) (+ (/ x y) -1))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* x 2.0) (+ (/ x y) -1))

simplify34.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05421326

prune36.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh011
Picked011
Done011
Total31435

Merged error: 0.0b

Counts
35 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ x (* (cbrt (+ (/ x y) -1)) (cbrt (+ (/ x y) -1))))
7.6b
(cbrt (+ (/ x y) -1))
7.6b
(cbrt (+ (/ x y) -1))
7.6b
(cbrt (+ (/ x y) -1))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt cbrt-div
15×*-un-lft-identity
9×add-exp-log add-cube-cbrt flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
6×difference-of-sqr--1 times-frac
4×pow1 frac-times add-log-exp
3×pow1/3 distribute-lft-out associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
16.0ms
(/ x (* (cbrt (+ (/ x y) -1)) (cbrt (+ (/ x y) -1))))
6.0ms
(cbrt (+ (/ x y) -1))
6.0ms
(cbrt (+ (/ x y) -1))
6.0ms
(cbrt (+ (/ x y) -1))

series135.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (* (cbrt (+ (/ x y) -1)) (cbrt (+ (/ x y) -1))))
30.0ms
(cbrt (+ (/ x y) -1))
30.0ms
(cbrt (+ (/ x y) -1))
32.0ms
(cbrt (+ (/ x y) -1))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05334979

prune152.0ms

Filtered
72 candidates to 89 candidates (-23.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0.0b

Counts
93 → 4

regimes138.0ms

Accuracy

85.6% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04093
14093

end0.0ms

sample592.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid

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