Details

Time bar (total: 7.9s)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample151.0ms

Algorithm
intervals
Results
87.0ms97×body1280valid
38.0ms88×body640valid
11.0ms50×body320valid
4.0ms256×pre80true
2.0ms17×body160valid
0.0ms4×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
052579

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.9b
(log (+ 1.0 x))
5.2b
(log (- 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050031101

prune176.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679

Merged error: 60.2b

Counts
79 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
5.2b
(log (- 1.0 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×times-frac
9×prod-exp cbrt-unprod
5×cbrt-undiv log-prod div-exp log-pow
4×log-div associate-*l/ associate-/l*
3×associate-*r* pow-prod-down associate-/r* add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times frac-2neg flip3-+ associate-*r/ rem-log-exp associate-*l* clear-num *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
9.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
10.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
9.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

simplify33.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050861764

prune175.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh145
Picked101
Done000
Total89594

Merged error: 0.0b

Counts
94 → 5

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
15×times-frac
14×add-sqr-sqrt
13×add-cube-cbrt
11×pow1
9×prod-exp cbrt-unprod
8×distribute-lft-out
5×cbrt-undiv div-exp associate-/l*
4×associate-*l/ log-pow
3×associate-*r* pow-prod-down associate-/r*
2×flip3-+ associate-/r/ flip-+ associate-/l/ add-log-exp
1×frac-times associate-+r- frac-2neg div-sub associate-*r/ associate-*l* clear-num *-commutative div-inv unswap-sqr
Counts
2 → 68
Calls
2 calls:
9.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
16.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
8.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify49.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051511946

prune152.0ms

Filtered
47 candidates to 74 candidates (-57.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh224
Picked101
Done000
Total75479

Merged error: 0.0b

Counts
79 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
0.0b
(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
0.0b
(cbrt (pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0)))))) 3))
0.0b
(pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0)))))) 3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
10×associate-/r/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-div pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
5.0ms
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
7.0ms
(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
8.0ms
(cbrt (pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0)))))) 3))
8.0ms
(pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0)))))) 3)

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
7.0ms
(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
7.0ms
(cbrt (pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0)))))) 3))
9.0ms
(pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0)))))) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051766159

prune355.0ms

Filtered
93 candidates to 161 candidates (-73.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1601161
Fresh123
Picked011
Done000
Total1614165

Merged error: 0.0b

Counts
165 → 4

regimes59.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03332
13332

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3462×body1280valid
1.1s2429×body640valid
289.0ms1273×body320valid
132.0ms8000×pre80true
80.0ms619×body160valid
12.0ms217×body80valid

Profiling

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