Details

Time bar (total: 3.2s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14

sample60.0ms

Algorithm
intervals
Results
35.0ms72×body1280valid
11.0ms49×body640valid
4.0ms34×body320valid
2.0ms90×body80valid
1.0ms11×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
054
154

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.0b
(log (+ 1.0 x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04927144
14927144

prune29.0ms

Filtered
13 candidates to 18 candidates (-38.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.1b

Counts
19 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
11×prod-exp cbrt-unprod
7×pow1 associate-*r*
6×add-sqr-sqrt add-log-exp
4×cbrt-undiv add-cube-cbrt *-un-lft-identity times-frac div-exp
3×pow-prod-down sum-log
2×unswap-sqr
1×+-commutative associate-+r+ flip3-+ associate-*r/ associate-*l* *-commutative flip-+ div-inv
Counts
2 → 46
Calls
2 calls:
9.0ms
(* (* x x) (/ -1/2 (* 1.0 1.0)))
6.0ms
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (* x x) (/ -1/2 (* 1.0 1.0)))
4.0ms
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04979602
14979602

prune66.0ms

Filtered
32 candidates to 52 candidates (-62.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh000
Picked011
Done011
Total51354

Merged error: 0.1b

Counts
54 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))))
9.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
9.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
9.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))))
3.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
3.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
3.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))))
10.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
10.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
11.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
052813073

prune413.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh000
Picked101
Done022
Total993102

Merged error: 0.1b

Counts
102 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

9.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
9.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
9.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
14.8b
(log (exp (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×cbrt-div exp-prod
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×log-prod flip3-+ pow1/3 flip-+
1×rem-log-exp
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
3.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
3.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
4.0ms
(log (exp (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
10.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
10.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
11.0ms
(log (exp (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049391958
149391958

prune331.0ms

Filtered
63 candidates to 69 candidates (-9.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh000
Picked101
Done022
Total69372

Merged error: 0.1b

Counts
72 → 3

regimes103.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 20.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02126
12126

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s2343×body1280valid
394.0ms1695×body640valid
101.0ms821×body320valid
76.0ms2722×body80valid
30.0ms419×body160valid

Profiling

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