Details

Time bar (total: 11.2s)

sample91.0ms

Algorithm
intervals
Results
48.0ms72×body1280valid
14.0ms49×body640valid
6.0ms36×body320valid
3.0ms83×body80valid
2.0ms100×body80nan
1.0ms16×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b
(log (+ 1.0 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×add-sqr-sqrt pow1 log-div add-exp-log add-cube-cbrt
1×expm1-log1p-u flip3-+ add-cbrt-cube rem-log-exp log-pow flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 17
Calls
1 calls:
5.0ms
(log (+ 1.0 x))

series65.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(log (+ 1.0 x))

simplify1.3s

Counts
20 → 20
Iterations
IterNodes
done5000
31662
2419
1131
060

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune12.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (pow (log (+ x 1.0)) 3))
0.2b
(pow (log (+ x 1.0)) 3)
4.8b
(log (+ x 1.0))

rewrite17.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 69
Calls
3 calls:
3.0ms
(cbrt (pow (log (+ x 1.0)) 3))
6.0ms
(pow (log (+ x 1.0)) 3)
7.0ms
(log (+ x 1.0))

series231.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(cbrt (pow (log (+ x 1.0)) 3))
122.0ms
(pow (log (+ x 1.0)) 3)
56.0ms
(log (+ x 1.0))

simplify1.4s

Counts
78 → 78
Iterations
IterNodes
done5000
22380
1473
0165

prune334.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x 1.0))
0.3b
(- (log (+ (pow 1.0 3) (pow x 3))) (log (fma 1.0 1.0 (* x (- x 1.0)))))
14.5b
(log (+ (pow 1.0 3) (pow x 3)))
15.3b
(log (fma 1.0 1.0 (* x (- x 1.0))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt
34×prod-diff
31×add-cube-cbrt
24×log-prod
21×pow1
15×log-pow
11×distribute-rgt-in distribute-lft-in
10×distribute-lft-out
9×associate--l+
8×unpow-prod-down cube-prod add-exp-log
6×add-cbrt-cube
5×associate-*r* distribute-lft-out--
4×expm1-log1p-u log-div fma-neg log1p-expm1-u add-log-exp
3×sub-neg associate-*l* associate--r+
2×associate--l- flip3-+ flip3-- rem-log-exp associate-*r/ sum-cubes flip-+ flip-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 135
Calls
4 calls:
19.0ms
(* x (- x 1.0))
45.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (fma 1.0 1.0 (* x (- x 1.0)))))
35.0ms
(log (+ (pow 1.0 3) (pow x 3)))
3.0ms
(log (fma 1.0 1.0 (* x (- x 1.0))))

series819.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* x (- x 1.0))
250.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (fma 1.0 1.0 (* x (- x 1.0)))))
414.0ms
(log (+ (pow 1.0 3) (pow x 3)))
90.0ms
(log (fma 1.0 1.0 (* x (- x 1.0))))

simplify2.3s

Counts
147 → 147
Iterations
IterNodes
done5002
22946
1635
0262

prune848.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.6b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done28
128
025

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.4s2149×body1280valid
1.0s1678×body640valid
151.0ms2860×body80valid
150.0ms884×body320valid
127.0ms2622×body80nan
42.0ms429×body160valid