Details

Time bar (total: 3.3s)

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

sample62.0ms

Algorithm
intervals
Results
36.0ms79×body1280valid
13.0ms55×body640valid
4.0ms31×body320valid
2.0ms82×body80valid
1.0ms9×body160valid

simplify3.0ms

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: 41.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.9b
(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))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(log (+ 1.0 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04927144
14927144

prune38.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0.2b

Counts
19 → 4

localize10.0ms

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)))
7.0ms
(+ (* 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)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04979602
14979602

prune73.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh022
Picked011
Done011
Total50656

Merged error: 0.2b

Counts
56 → 6

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))))))))
8.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
8.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
8.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))

rewrite19.0ms

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)))))))

series48.0ms

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))))))))
11.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
13.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
12.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052813073

prune431.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh123
Picked101
Done022
Total996105

Merged error: 0.2b

Counts
105 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) 6)
8.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
8.9b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
33.4b
(pow (pow (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) 6) 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
7×add-exp-log
6×pow-unpow
5×pow1 pow-exp
4×cbrt-div add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
2×flip3-+ flip-+
1×unpow1/3
Counts
4 → 74
Calls
4 calls:
4.0ms
(pow (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) 6)
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)))))))
6.0ms
(pow (pow (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) 6) 1/3)

series82.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) 6)
10.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
13.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
34.0ms
(pow (pow (cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0))))))) 6) 1/3)

simplify53.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051832436

prune275.0ms

Filtered
60 candidates to 86 candidates (-43.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84286
Fresh033
Picked011
Done022
Total84892

Merged error: 0.2b

Counts
92 → 8

regimes201.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s2238×body1280valid
381.0ms1651×body640valid
101.0ms818×body320valid
76.0ms2894×body80valid
30.0ms399×body160valid

Profiling

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