Details

Time bar (total: 12.0s)

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

sample325.0ms

Algorithm
intervals
Results
110.0ms120×body1280valid
32.0ms72×body640valid
7.0ms32×body320valid
2.0ms18×body160valid
1.0ms14×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
052579

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 60.3b

Counts
2 → 1

localize52.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
57.4b
(log (+ 1.0 x))
57.4b
(log (- 1.0 x))

rewrite14.0ms

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))
4.0ms
(log (- 1.0 x))

series21.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050031101

prune175.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New69978
Fresh000
Picked101
Done000
Total70979

Merged error: 58.1b

Counts
79 → 9

localize34.0ms

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))))
57.4b
(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)
11.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* (/ 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))

simplify33.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050861764

prune187.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh358
Picked101
Done000
Total91697

Merged error: 0.1b

Counts
97 → 6

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))))

rewrite29.0ms

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)
18.0ms
(/ (+ (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))))

simplify45.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051511946

prune171.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh055
Picked011
Done000
Total72880

Merged error: 0.1b

Counts
80 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

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
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
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)
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))

rewrite37.0ms

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
6×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 sub-neg unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-div flip3-- pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
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))))))
10.0ms
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
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)
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))

series30.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (+ (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))))))
6.0ms
(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
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)
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))

simplify62.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050586164

prune371.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh066
Picked011
Done011
Total1618169

Merged error: 0.1b

Counts
169 → 8

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05033
15033

end0.0ms

sample8.8s

Algorithm
intervals
Results
3.1s3403×body1280valid
1.1s2497×body640valid
277.0ms1239×body320valid
81.0ms624×body160valid
13.0ms237×body80valid

Profiling

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