Details

Time bar (total: 2.9s)

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

sample57.0ms

Algorithm
intervals
Results
33.0ms64×body1280valid
11.0ms46×body640valid
4.0ms30×body320valid
3.0ms102×body80valid
1.0ms14×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: 36.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.6b
(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

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: 0.1b

Counts
19 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
7.0ms
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

simplify22.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05264283

prune36.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New15116
Fresh022
Picked011
Done011
Total15520

Merged error: 0.1b

Counts
20 → 5

localize12.0ms

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))))))))
12.7b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
12.7b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))))
12.7b
(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)))))))

series46.0ms

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)))))))
13.0ms
(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)))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052813073

prune423.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh022
Picked011
Done022
Total986104

Merged error: 0.1b

Counts
104 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (pow (log (+ 1.0 x)) 3))
0.3b
(pow (log (+ 1.0 x)) 3)
3.6b
(log (+ 1.0 x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
8×unpow-prod-down cube-prod
5×add-exp-log log-pow
4×log-prod add-cbrt-cube
3×pow-unpow add-log-exp
2×cube-mult log-div unpow3 sqr-pow
1×pow-to-exp pow-pow flip3-+ pow1/3 rem-log-exp pow-exp rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt
Counts
3 → 63
Calls
3 calls:
2.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
2.0ms
(pow (log (+ 1.0 x)) 3)
3.0ms
(log (+ 1.0 x))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
10.0ms
(pow (log (+ 1.0 x)) 3)
3.0ms
(log (+ 1.0 x))

simplify51.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05031807

prune88.0ms

Filtered
41 candidates to 72 candidates (-75.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done033
Total72678

Merged error: 0.1b

Counts
78 → 6

regimes176.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s2211×body1280valid
391.0ms1667×body640valid
108.0ms861×body320valid
81.0ms2836×body80valid
31.0ms425×body160valid

Profiling

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