Details

Time bar (total: 1.6s)

analyze35.0ms

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

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
048899
148899

prune13.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ y (- x y)))
0.0b
(/ y (- x y))
6.5b
(* x (* 2.0 (/ y (- x y))))

rewrite26.0ms

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:
9.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05793891

prune86.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh011
Picked011
Done000
Total1054109

Merged error: 0.0b

Counts
109 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(* (/ y (- x y)) (cbrt x))
4.0b
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-sqr-sqrt
27×pow1 add-cbrt-cube
24×prod-exp cbrt-unprod
23×*-un-lft-identity
22×associate-*l*
17×add-cube-cbrt times-frac
16×pow-prod-down
11×cbrt-prod
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r/ associate-*l/ associate-/r/ *-commutative
1×flip3-- flip-- div-inv
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (/ y (- x y)) (cbrt x))
15.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
20.0ms
(cbrt x)
22.0ms
(* (/ y (- x y)) (cbrt x))
13.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ y (- x y)) (cbrt x))))

simplify87.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04981905
14981905

prune85.0ms

Filtered
70 candidates to 112 candidates (-60.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh022
Picked101
Done011
Total1124116

Merged error: 0.0b

Counts
116 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (cbrt x) (/ y (cbrt (- x y))))
4.0b
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt x) (/ y (cbrt (- x y)))))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
282×add-exp-log
203×prod-exp
91×cbrt-unprod
83×add-cbrt-cube
45×add-sqr-sqrt
39×div-exp
38×pow1
31×associate-*r*
29×cbrt-prod *-un-lft-identity
28×times-frac
25×pow-prod-down
23×add-cube-cbrt
19×cbrt-undiv
12×rec-exp 1-exp
10×associate-*r/
7×associate-*l*
6×unswap-sqr
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×cbrt-div pow1/3 associate-/r/ *-commutative
1×frac-times flip3-- associate-*l/ flip-- div-inv
Counts
4 → 167
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(* (cbrt x) (/ y (cbrt (- x y))))
34.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt x) (/ y (cbrt (- x y)))))))

series115.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt x)
28.0ms
(cbrt x)
40.0ms
(* (cbrt x) (/ y (cbrt (- x y))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* 2.0 (* (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt x) (/ y (cbrt (- x y)))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
050882041

prune99.0ms

Filtered
80 candidates to 179 candidates (-123.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh022
Picked011
Done011
Total1794183

Merged error: 0.0b

Counts
183 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

14.2b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* (* x 2.0) y) (- x y))

simplify39.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
06261313

prune27.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh101
Picked011
Done112
Total33336

Merged error: 0.0b

Counts
36 → 3

regimes124.0ms

Accuracy

81.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 7.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04093
14093

end0.0ms

sample341.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid

Profiling

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