Details

Time bar (total: 4.3s)

analyze546.0ms

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
6.2%93.7%0.1%5
6.2%90.5%3.2%6
21.9%67.1%11%7
23.4%64.8%11.8%8
32%52.7%15.3%9
33.2%51.3%15.5%10
37.7%45.2%17.2%11
38.3%44.4%17.2%12
40.6%41.3%18%13
41%41%18%14

sample43.0ms

Algorithm
intervals
Results
9.0ms177×body80valid
7.0ms29×body1280valid
5.0ms29×body640valid
5.0ms33×body640nan
4.0ms19×body1280nan
1.0ms13×body160valid
1.0ms8×body320valid
1.0ms9×body320nan
1.0ms7×body160nan
0.0ms11×body80nan

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
0503912

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 19.4b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
2.8b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×*-un-lft-identity
28×times-frac
19×difference-of-squares
18×add-cube-cbrt
17×distribute-lft-out--
12×log-prod
7×add-exp-log add-log-exp
6×pow1 flip3-- add-cbrt-cube flip-- associate--r+
5×associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ log-pow associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 106
Calls
4 calls:
17.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
10.0ms
(/ (- x y) (- 1.0 y))
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms
(/ (- x y) (- 1.0 y))
9.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
054281660

prune211.0ms

Filtered
93 candidates to 118 candidates (-26.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1144118
Fresh000
Picked101
Done000
Total1154119

Merged error: 0.1b

Counts
119 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
4.4b
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
14.5b
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
15×*-un-lft-identity
14×cbrt-prod
12×times-frac difference-of-squares
9×log-prod
7×add-cube-cbrt
6×add-log-exp
5×pow1 add-exp-log
4×cbrt-div flip3-- add-cbrt-cube flip-- distribute-lft-out--
2×log-div pow1/3 div-sub
1×sub-neg diff-log rem-log-exp log-pow associate--r-
Counts
4 → 68
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
51.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
40.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
12.0ms
(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
10.0ms
(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
060601211

prune373.0ms

Filtered
67 candidates to 80 candidates (-19.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79180
Fresh123
Picked011
Done000
Total80484

Merged error: 0.1b

Counts
84 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.8b
(+ 1.0 (/ (- y x) (- 1.0 y)))
2.8b
(+ 1.0 (/ (- y x) (- 1.0 y)))
4.5b
(log (cbrt (+ 1.0 (/ (- y x) (- 1.0 y)))))
4.5b
(log (cbrt (+ 1.0 (/ (- y x) (- 1.0 y)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×log-prod
8×cbrt-prod add-sqr-sqrt add-cube-cbrt add-log-exp
6×pow1 add-exp-log
4×log-div cbrt-div flip3-+ log-pow add-cbrt-cube flip-+ distribute-lft-out
2×+-commutative associate-+r- pow1/3 div-sub rem-log-exp sum-log
Counts
4 → 64
Calls
4 calls:
15.0ms
(+ 1.0 (/ (- y x) (- 1.0 y)))
13.0ms
(+ 1.0 (/ (- y x) (- 1.0 y)))
14.0ms
(log (cbrt (+ 1.0 (/ (- y x) (- 1.0 y)))))
14.0ms
(log (cbrt (+ 1.0 (/ (- y x) (- 1.0 y)))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ 1.0 (/ (- y x) (- 1.0 y)))
7.0ms
(+ 1.0 (/ (- y x) (- 1.0 y)))
17.0ms
(log (cbrt (+ 1.0 (/ (- y x) (- 1.0 y)))))
17.0ms
(log (cbrt (+ 1.0 (/ (- y x) (- 1.0 y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
054791140

prune178.0ms

Filtered
62 candidates to 76 candidates (-22.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0.1b

Counts
80 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
2.8b
(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
4.4b
(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
7.8b
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
273×*-un-lft-identity
184×times-frac
183×add-sqr-sqrt
76×distribute-lft-out--
75×add-cube-cbrt
58×difference-of-squares
55×swap-sqr
31×associate-*r* associate-*l*
22×log-prod
21×add-exp-log
18×add-cbrt-cube
12×pow1 associate-/r/
9×distribute-lft-out
6×flip3-- div-exp flip-- div-inv add-log-exp
5×cbrt-undiv
4×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×flip3-+ rem-log-exp flip-+ associate-/l/
1×pow2 frac-times sub-neg log-div frac-2neg pow-plus diff-log div-sub associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr log-pow *-commutative pow-prod-up
Counts
4 → 231
Calls
4 calls:
32.0ms
(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
4.0ms
(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
17.0ms
(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
25.0ms
(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
42.0ms
(log (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
31.0ms
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify63.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
054355578

prune454.0ms

Filtered
151 candidates to 243 candidates (-60.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2421243
Fresh011
Picked101
Done022
Total2434247

Merged error: 0.1b

Counts
247 → 4

regimes163.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.1b

bsearch140.0ms

Steps
ItersRangePoint
12
0.09035513042117767
4.259130963348829e+38
53148174.24022449
9
-3019486905912.8296
-7374170.506661763
-67922377.24733216

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014048
114048

end0.0ms

sample1.3s

Algorithm
intervals
Results
283.0ms5656×body80valid
207.0ms836×body1280valid
136.0ms757×body640valid
130.0ms704×body1280nan
122.0ms789×body640nan
70.0ms487×body320valid
45.0ms421×body320nan
23.0ms264×body160valid
19.0ms258×body160nan
13.0ms355×body80nan

Profiling

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