Details

Time bar (total: 2.6s)

sample21.0ms

Algorithm
intervals
Results
6.0ms200×body80valid
2.0ms21×body640valid
2.0ms15×body1280valid
1.0ms13×body320valid
0.0ms7×body160valid

simplify135.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (134.0ms)

IterNodesCost
0508011

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: 12.9b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x 1.0) (+ 1.0 y))
0.1b
(* y (/ (- x 1.0) (+ 1.0 y)))
2.9b
(+ 1.0 (* y (/ (- x 1.0) (+ 1.0 y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
48×add-sqr-sqrt
41×times-frac
26×associate-*r*
25×add-cube-cbrt
11×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip--
Counts
3 → 102
Calls
3 calls:
11.0ms
(/ (- x 1.0) (+ 1.0 y))
12.0ms
(* y (/ (- x 1.0) (+ 1.0 y)))
3.0ms
(+ 1.0 (* y (/ (- x 1.0) (+ 1.0 y))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (- x 1.0) (+ 1.0 y))
5.0ms
(* y (/ (- x 1.0) (+ 1.0 y)))
10.0ms
(+ 1.0 (* y (/ (- x 1.0) (+ 1.0 y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
053321270

prune171.0ms

Filtered
76 candidates to 111 candidates (-46.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10011111
Fresh101
Picked101
Done000
Total10211113

Merged error: 6.4b

Counts
113 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
9.6b
(+ 1.0 (* (* (cbrt y) (cbrt y)) (* (/ (- x 1.0) (+ 1.0 y)) (cbrt y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(+ 1.0 (* (* (cbrt y) (cbrt y)) (* (/ (- x 1.0) (+ 1.0 y)) (cbrt y))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(cbrt y)
14.0ms
(+ 1.0 (* (* (cbrt y) (cbrt y)) (* (/ (- x 1.0) (+ 1.0 y)) (cbrt y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04967371
14967371

prune80.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh01010
Picked011
Done000
Total551267

Merged error: 6.4b

Counts
67 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (- x 1.0) (+ 1.0 y)))
0.4b
(cbrt (/ (- x 1.0) (+ 1.0 y)))
0.4b
(cbrt (/ (- x 1.0) (+ 1.0 y)))
8.9b
(+ 1.0 (* (* y (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y))))) (cbrt (/ (- x 1.0) (+ 1.0 y)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
88×*-un-lft-identity
78×cbrt-prod
60×times-frac
58×add-sqr-sqrt
34×add-cube-cbrt
15×distribute-lft-out
12×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log flip3-+ add-cbrt-cube flip-+
3×cbrt-div pow1/3 div-inv
1×+-commutative sum-log
Counts
4 → 116
Calls
4 calls:
7.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
6.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
6.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
3.0ms
(+ 1.0 (* (* y (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y))))) (cbrt (/ (- x 1.0) (+ 1.0 y)))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
15.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
14.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
18.0ms
(+ 1.0 (* (* y (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y))))) (cbrt (/ (- x 1.0) (+ 1.0 y)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
057702034

prune305.0ms

Filtered
92 candidates to 128 candidates (-39.1%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1253128
Fresh1910
Picked011
Done011
Total12614140

Merged error: 6.3b

Counts
140 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
0.5b
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
0.5b
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
9.6b
(+ 1.0 (* (* y (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y))))) (* (* (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y)))) (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))) (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y)))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
165×cbrt-prod
91×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
15×distribute-lft-out
12×distribute-lft-out-- difference-of-squares
6×cbrt-div associate-/r/ add-log-exp
4×pow1 add-exp-log flip3-+ add-cbrt-cube flip-+
3×pow1/3 div-inv
1×+-commutative sum-log
Counts
4 → 125
Calls
4 calls:
8.0ms
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
8.0ms
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
8.0ms
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
3.0ms
(+ 1.0 (* (* y (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y))))) (* (* (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y)))) (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))) (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y)))))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
17.0ms
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
18.0ms
(cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))
16.0ms
(+ 1.0 (* (* y (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y))))) (* (* (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y)))) (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y))))) (cbrt (cbrt (/ (- x 1.0) (+ 1.0 y)))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051312406

prune513.0ms

Filtered
97 candidates to 137 candidates (-41.2%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh11011
Picked011
Done022
Total13714151

Merged error: 6.3b

Counts
151 → 14

regimes185.0ms

Accuracy

95.3% (0.4b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 14.7b

bsearch29.0ms

Steps
ItersRangePoint
5
5.25507966822753e+76
1.1135391387728453e+77
5.30519557848643e+76
9
-28644456516570664.0
-227865855780.05893
-17818768960305848.0

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03139
13139

end0.0ms

sample585.0ms

Algorithm
intervals
Results
182.0ms6122×body80valid
82.0ms720×body640valid
49.0ms356×body1280valid
45.0ms513×body320valid
17.0ms289×body160valid

Profiling

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