Details

Time bar (total: 3.9s)

sample54.0ms

Algorithm
intervals
Results
29.0ms68×body1280valid
11.0ms51×body640valid
3.0ms27×body320valid
2.0ms100×body80valid
1.0ms85×body80nan
1.0ms10×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize3.0ms

Local error

Found 1 expressions with local error:

3.0b
(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))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(log (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
012295
132786
2116181
3500278

prune36.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

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))))

rewrite35.0ms

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)))
10.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series94.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify71.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0676882
12962760
25001756

prune285.0ms

Filtered
132 candidates to 81 candidates (61.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

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))))
1.7b
(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:
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))))
7.0ms
(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
45.0ms
(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07251187
130611047
250011021

prune352.0ms

Filtered
154 candidates to 96 candidates (62.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

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))))
1.8b
(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
74×add-sqr-sqrt
68×associate-*r*
59×unpow-prod-down
40×add-cube-cbrt *-un-lft-identity
27×add-exp-log
25×sqr-pow
24×unpow2
17×unswap-sqr
10×prod-exp
9×div-exp
8×pow-exp add-cbrt-cube
7×pow1 pow-to-exp add-log-exp
5×associate-*r/
4×log-div pow-unpow frac-sub pow-sub
3×unpow-prod-up log-prod associate-*l*
2×flip3-- flip3-+ diff-log flip-- cbrt-unprod flip-+
1×cbrt-undiv sub-neg e-exp-1 pow-pow pow-prod-down associate--l+ sum-log log-pow *-commutative div-inv
Counts
3 → 152
Calls
3 calls:
23.0ms
(* 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
(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series301.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
45.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
208.0ms
(pow E (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify96.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09111439
138461305
250021300

prune387.0ms

Filtered
161 candidates to 102 candidates (63.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes72.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s2309×body1280valid
350.0ms1665×body640valid
82.0ms787×body320valid
63.0ms2855×body80valid
38.0ms2648×body80nan
23.0ms384×body160valid