Details

Time bar (total: 2.3s)

analyze74.0ms

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
12.5%87.4%0.1%4
25%74.9%0.1%5
31.2%68.7%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14

sample18.0ms

Algorithm
intervals
Results
6.0ms205×body80valid
2.0ms19×body640valid
1.0ms11×body1280valid
1.0ms14×body320valid
0.0ms7×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06811
16811

prune9.0ms

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: 11.8b

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)))
3.4b
(+ 1.0 (* y (/ (- x 1.0) (+ 1.0 y))))

rewrite27.0ms

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:
7.0ms
(/ (- x 1.0) (+ 1.0 y))
14.0ms
(* 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))))

simplify51.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
053191270

prune170.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh011
Picked101
Done000
Total10310113

Merged error: 4.9b

Counts
113 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1.0 y))
0.1b
(* (- x 1.0) (/ 1 (+ 1.0 y)))
0.1b
(* y (* (- x 1.0) (/ 1 (+ 1.0 y))))
3.2b
(+ 1.0 (* y (* (- x 1.0) (/ 1 (+ 1.0 y)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
32×add-exp-log add-sqr-sqrt
26×times-frac
23×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r*
13×prod-exp
12×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod distribute-lft-out
6×div-exp add-log-exp
4×frac-times flip3-- pow-prod-down associate-*l/ associate-/r* associate-/r/ flip--
3×cbrt-undiv rec-exp flip3-+ 1-exp flip-+ associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative pow-flip frac-2neg clear-num sum-log distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 123
Calls
4 calls:
5.0ms
(/ 1 (+ 1.0 y))
12.0ms
(* (- x 1.0) (/ 1 (+ 1.0 y)))
11.0ms
(* y (* (- x 1.0) (/ 1 (+ 1.0 y))))
5.0ms
(+ 1.0 (* y (* (- x 1.0) (/ 1 (+ 1.0 y)))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (+ 1.0 y))
5.0ms
(* (- x 1.0) (/ 1 (+ 1.0 y)))
5.0ms
(* y (* (- x 1.0) (/ 1 (+ 1.0 y))))
10.0ms
(+ 1.0 (* y (* (- x 1.0) (/ 1 (+ 1.0 y)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049541301
149541301

prune155.0ms

Filtered
83 candidates to 135 candidates (-62.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1341135
Fresh099
Picked101
Done000
Total13510145

Merged error: 4.9b

Counts
145 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
8.2b
(+ 1.0 (* (* (cbrt y) (cbrt y)) (* (/ (- x 1.0) (+ 1.0 y)) (cbrt y))))

rewrite7.0ms

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)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(+ 1.0 (* (* (cbrt y) (cbrt y)) (* (/ (- x 1.0) (+ 1.0 y)) (cbrt y))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
24.0ms
(cbrt y)
15.0ms
(+ 1.0 (* (* (cbrt y) (cbrt y)) (* (/ (- x 1.0) (+ 1.0 y)) (cbrt y))))

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05051365

prune79.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh099
Picked011
Done000
Total561066

Merged error: 4.9b

Counts
66 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (- x 1.0) (+ 1.0 y)))
0.5b
(cbrt (/ (- x 1.0) (+ 1.0 y)))
0.5b
(cbrt (/ (- x 1.0) (+ 1.0 y)))
7.0b
(+ 1.0 (* y (* (* (cbrt (/ (- x 1.0) (+ 1.0 y))) (cbrt (/ (- x 1.0) (+ 1.0 y)))) (cbrt (/ (- x 1.0) (+ 1.0 y))))))

rewrite26.0ms

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:
6.0ms
(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))))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
15.0ms
(cbrt (/ (- x 1.0) (+ 1.0 y)))
17.0ms
(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 (/ (- x 1.0) (+ 1.0 y))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
056341992

prune268.0ms

Filtered
91 candidates to 128 candidates (-40.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh088
Picked101
Done011
Total12810138

Merged error: 4.9b

Counts
138 → 10

regimes318.0ms

Accuracy

92.6% (0.6b remaining)

Error of 7.7b against oracle of 7.1b and baseline of 14.8b

bsearch80.0ms

Steps
ItersRangePoint
5
1.3351783773904564e+100
4.1558590866215884e+100
1.3578906738606337e+100
9
-4.595908192666161e+63
-2.4276266804568598e+54
-2.473739836327691e+54

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03947
13947

end0.0ms

analyze74.0ms

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
12.5%87.4%0.1%4
25%74.9%0.1%5
31.2%68.7%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14

sample498.0ms

Algorithm
intervals
Results
185.0ms6113×body80valid
83.0ms754×body640valid
51.0ms378×body1280valid
37.0ms466×body320valid
16.0ms289×body160valid

Profiling

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