Details

Time bar (total: 3.8s)

analyze536.0ms

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
9.0ms37×body1280valid
8.0ms169×body80valid
4.0ms24×body640valid
4.0ms23×body1280nan
2.0ms16×body640nan
2.0ms20×body320nan
1.0ms11×body320valid
1.0ms15×body160valid
1.0ms8×body160nan
0.0ms14×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02312
12312

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
3.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 84
Calls
3 calls:
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))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- x y) (- 1.0 y))
9.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052471256

prune163.0ms

Filtered
69 candidates to 93 candidates (-34.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh000
Picked101
Done000
Total91394

Merged error: 0.0b

Counts
94 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.9b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.3b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 116
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 y))
13.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 y))
6.0ms
(* (- x y) (/ 1 (- 1.0 y)))
12.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
12.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
052901324

prune166.0ms

Filtered
86 candidates to 128 candidates (-48.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done000
Total1283131

Merged error: 0.0b

Counts
131 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))))
0.1b
(* (/ 1.0 y) (- (/ x y) 1))
2.7b
(log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1))))
4.0b
(+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
21×*-un-lft-identity
15×frac-add
14×add-cube-cbrt log-div
13×times-frac associate-*l*
10×add-exp-log associate-*r*
9×flip3-- add-cbrt-cube flip--
8×pow1 frac-times associate-*r/
7×associate--r- add-log-exp
6×log-prod
5×sub-neg difference-of-squares
4×associate-*l/
3×flip3-+ flip-+ associate--r+ distribute-lft-out--
2×distribute-rgt-in associate-+r+ distribute-lft-in difference-of-sqr-1 prod-exp log-pow cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative diff-log div-exp rem-log-exp pow-prod-down sum-log *-commutative div-inv
Counts
4 → 106
Calls
4 calls:
9.0ms
(- 1.0 (log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))))
13.0ms
(* (/ 1.0 y) (- (/ x y) 1))
6.0ms
(log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1))))
8.0ms
(+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- 1.0 (log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))))
8.0ms
(* (/ 1.0 y) (- (/ x y) 1))
12.0ms
(log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1))))
8.0ms
(+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))

simplify66.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049751983
149751983

prune185.0ms

Filtered
98 candidates to 118 candidates (-20.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh011
Picked101
Done011
Total1183121

Merged error: 0b

Counts
121 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (/ x y) 1) y)
0.7b
(/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y))))
4.0b
(+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y)))
16.7b
(log (/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
60×times-frac
50×*-un-lft-identity
34×add-cube-cbrt
16×log-prod difference-of-squares
13×associate-/l*
9×add-exp-log
8×difference-of-sqr-1 add-cbrt-cube
6×associate-/r* associate-/r/ add-log-exp
5×pow1
4×distribute-lft-out--
3×flip3-+ associate-*r/ div-exp frac-add flip-+ div-inv
2×cbrt-undiv frac-2neg rem-log-exp clear-num associate-/l/
1×+-commutative log-div flip3-- div-sub sum-log log-pow flip--
Counts
4 → 127
Calls
4 calls:
12.0ms
(/ (- (/ x y) 1) y)
8.0ms
(/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y))))
7.0ms
(+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y)))
7.0ms
(log (/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y)))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (- (/ x y) 1) y)
16.0ms
(/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y))))
8.0ms
(+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y)))
17.0ms
(log (/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (- (/ x y) 1) y)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
052582524

prune211.0ms

Filtered
99 candidates to 139 candidates (-40.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done011
Total1393142

Merged error: 0b

Counts
142 → 3

regimes96.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.3b

bsearch94.0ms

Steps
ItersRangePoint
10
0.02385949346636101
98641026618589.61
41998783.96480012
10
-779682810431557.8
-12102.060918493844
-166530506.3804271

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03240
13240

end0.0ms

analyze531.0ms

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

sample1.2s

Algorithm
intervals
Results
266.0ms5631×body80valid
211.0ms861×body1280valid
143.0ms822×body640valid
136.0ms752×body1280nan
106.0ms750×body640nan
57.0ms460×body320valid
47.0ms455×body320nan
21.0ms242×body160nan
19.0ms226×body160valid
12.0ms328×body80nan

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