Details

Time bar (total: 3.1s)

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.048822%

Guaranteed chance to sample good point: 99.99593%

sample57.0ms

Algorithm
intervals
Results
31.0ms66×body1280valid
13.0ms56×body640valid
3.0ms25×body320valid
2.0ms92×body80valid
1.0ms17×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b
(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))

simplify37.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
012897
135487
2128081
3500178

prune36.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
4×pow1
3×associate-*r/ associate-*l*
2×diff-log frac-sub cbrt-unprod
1×cbrt-undiv sub-neg flip3-- flip3-+ pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 126
Calls
2 calls:
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify70.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0676880
12962757
25002753

prune211.0ms

Filtered
81 candidates to 132 candidates (-63.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh011
Picked011
Done011
Total1314135

Merged error: 0.0b

Counts
135 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (log (+ 1.0 x)))
0.2b
(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
4.6b
(log (+ 1.0 x))
4.6b
(log (+ 1.0 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
29×pow1
28×add-sqr-sqrt
21×*-un-lft-identity
15×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 pow1/2 log-pow
8×add-exp-log log-prod
7×associate-*r* associate-*l*
6×add-cbrt-cube
5×pow-prod-up
4×log-div add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×flip3-+ rem-log-exp flip-+ distribute-lft-out
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
1.0ms
(sqrt (log (+ 1.0 x)))
8.0ms
(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

series15.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (log (+ 1.0 x)))
3.0ms
(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0342624
11361558
25001501

prune133.0ms

Filtered
58 candidates to 110 candidates (-89.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done022
Total1104114

Merged error: 0.0b

Counts
114 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
2.0b
(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
73×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
39×add-cube-cbrt *-un-lft-identity
26×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
8×add-cbrt-cube
7×add-log-exp
6×pow1 pow-to-exp pow-exp
5×associate-*r/
4×log-div exp-prod exp-diff frac-sub
3×log-prod associate-*l* exp-sum
2×flip3-- flip3-+ diff-log flip-- cbrt-unprod flip-+
1×cbrt-undiv sub-neg pow-prod-down associate--l+ sum-log log-pow *-commutative div-inv rem-exp-log
Counts
3 → 145
Calls
3 calls:
21.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
7.0ms
(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series14.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms
(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07251185
130611043
250011017

prune293.0ms

Filtered
96 candidates to 154 candidates (-60.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done033
Total1544158

Merged error: 0.0b

Counts
158 → 4

regimes161.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.048822%

Guaranteed chance to sample good point: 99.99593%

sample1.8s

Algorithm
intervals
Results
1.1s2290×body1280valid
367.0ms1613×body640valid
101.0ms830×body320valid
76.0ms2829×body80valid
31.0ms438×body160valid

Profiling

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