Details

Time bar (total: 7.8s)

analyze1.3s

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

sample158.0ms

Algorithm
intervals
Results
101.0ms109×body1280valid
30.0ms72×body640valid
11.0ms48×body320valid
4.0ms256×pre80true
3.0ms23×body160valid
0.0ms4×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
052579

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.7b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0b
(log (- 1.0 x))
7.0b
(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))

series19.0ms

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))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050031101

prune151.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New71778
Fresh000
Picked101
Done000
Total72779

Merged error: 60.0b

Counts
79 → 7

localize12.0ms

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))))
7.0b
(log (- 1.0 x))

rewrite28.0ms

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:
12.0ms
(* (* (/ 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))

simplify31.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050861764

prune169.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh336
Picked101
Done000
Total91495

Merged error: 0.0b

Counts
95 → 4

localize16.0ms

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))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
9.0ms
(/ (+ (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))))

simplify44.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051511946

prune158.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh213
Picked101
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×div-exp
7×flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*r/ add-log-exp
2×distribute-rgt-in sub-neg rec-exp frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×flip3-- pow-flip flip-- inv-pow
Counts
4 → 159
Calls
4 calls:
11.0ms
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
8.0ms
(/ 1 (/ (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))) (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))))
5.0ms
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
7.0ms
(/ (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))) (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
7.0ms
(/ 1 (/ (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))) (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))))
8.0ms
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
7.0ms
(/ (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))) (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
054645957

prune482.0ms

Filtered
115 candidates to 171 candidates (-48.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh033
Picked011
Done000
Total1714175

Merged error: 0b

Counts
175 → 4

regimes67.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03231
13231

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.0s3321×body1280valid
1.1s2518×body640valid
299.0ms1297×body320valid
134.0ms8000×pre80true
85.0ms626×body160valid
14.0ms238×body80valid

Profiling

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