Details

Time bar (total: 3.8s)

analyze511.0ms

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

sample42.0ms

Algorithm
intervals
Results
8.0ms180×body80valid
6.0ms23×body1280valid
5.0ms29×body640valid
5.0ms27×body1280nan
4.0ms29×body640nan
2.0ms15×body320valid
1.0ms12×body320nan
1.0ms9×body160valid
1.0ms8×body160nan
0.0ms9×body80nan

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
0479212
1479212

prune7.0ms

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: 18.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.2b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.5b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite41.0ms

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:
8.0ms
(/ (- x y) (- 1.0 y))
17.0ms
(- 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))))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
054411253

prune189.0ms

Filtered
71 candidates to 93 candidates (-31.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New89493
Fresh000
Picked101
Done000
Total90494

Merged error: 0.0b

Counts
94 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.1b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
3.5b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity
21×associate-*r*
17×times-frac
16×add-cube-cbrt
14×add-exp-log
9×add-cbrt-cube
8×pow1
7×flip3-- flip-- add-log-exp
6×log-prod distribute-lft-out--
5×associate-*l* difference-of-squares
4×log-div prod-exp
3×associate--r+ unswap-sqr
2×frac-times sub-neg diff-log div-exp associate-*l/ associate-/r/ log-pow cbrt-unprod associate--r-
1×cbrt-undiv rec-exp 1-exp associate-*r/ rem-log-exp pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
5.0ms
(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
13.0ms
(* (- x y) (/ 1 (- 1.0 y)))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
3.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
8.0ms
(* (- x y) (/ 1 (- 1.0 y)))
9.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
12.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049011333
149011333

prune178.0ms

Filtered
84 candidates to 106 candidates (-26.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done000
Total1064110

Merged error: 0.0b

Counts
110 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))
2.1b
(+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y))))
3.5b
(log (/ (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
10.7b
(/ (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
95×add-sqr-sqrt
78×times-frac
43×add-cube-cbrt
31×associate-*r* associate-*l*
21×add-exp-log
20×distribute-lft-out-- difference-of-squares
18×log-prod add-cbrt-cube
8×associate-/r/
7×pow1 distribute-lft-out
6×div-exp add-log-exp
5×cbrt-undiv
4×flip3-+ prod-exp associate-/r* cbrt-unprod flip-+ div-inv unswap-sqr
3×associate-/l*
2×flip3-- rem-log-exp flip-- associate-/l/
1×+-commutative frac-times log-div frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num sum-log log-pow *-commutative
Counts
4 → 161
Calls
4 calls:
29.0ms
(* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))
5.0ms
(+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y))))
18.0ms
(log (/ (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms
(/ (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))
26.0ms
(+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y))))
38.0ms
(log (/ (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y)))))
33.0ms
(/ (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- y x) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049964667
149964667

prune365.0ms

Filtered
120 candidates to 173 candidates (-44.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh022
Picked011
Done011
Total1734177

Merged error: 0.0b

Counts
177 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x y) 1)
0.1b
(* (/ 1.0 y) (- (/ x y) 1))
1.9b
(log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1))))
5.5b
(+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
21×*-un-lft-identity
16×times-frac
13×add-cube-cbrt associate-*l*
10×add-exp-log associate-*r* frac-add
9×add-cbrt-cube
8×add-log-exp difference-of-squares
7×pow1 log-div flip3-- flip--
6×frac-times associate-*r/
5×sub-neg
4×difference-of-sqr-1
3×log-prod associate-*l/
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ prod-exp cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
1×cbrt-undiv +-commutative diff-log div-exp rem-log-exp pow-prod-down sum-log log-pow *-commutative div-inv
Counts
4 → 100
Calls
4 calls:
7.0ms
(- (/ x y) 1)
13.0ms
(* (/ 1.0 y) (- (/ x y) 1))
7.0ms
(log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1))))
8.0ms
(+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (/ x y) 1)
5.0ms
(* (/ 1.0 y) (- (/ x y) 1))
14.0ms
(log (+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1))))
8.0ms
(+ (/ x y) (* (/ 1.0 y) (- (/ x y) 1)))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049671634
149671634

prune171.0ms

Filtered
86 candidates to 112 candidates (-30.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh011
Picked011
Done022
Total1115116

Merged error: 0.0b

Counts
116 → 5

regimes174.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.1b

bsearch109.0ms

Steps
ItersRangePoint
11
709.4685008829304
3.286510235849345e+33
34590040.871188216
9
-1945983011757.0867
-87152.45737718299
-124505691.78513186

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
020539
120539

end0.0ms

sample1.2s

Algorithm
intervals
Results
286.0ms5666×body80valid
205.0ms845×body1280valid
140.0ms781×body640valid
132.0ms720×body1280nan
120.0ms831×body640nan
57.0ms448×body320valid
51.0ms478×body320nan
22.0ms260×body160valid
18.0ms242×body160nan
11.0ms327×body80nan

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