Details

Time bar (total: 7.4s)

sample111.0ms

Algorithm
intervals
Results
58.0ms69×body1280valid
21.0ms51×body640valid
7.0ms34×body320valid
4.0ms88×body80valid
3.0ms95×body80nan
2.0ms14×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize11.0ms

Local error

Found 1 expressions with local error:

3.7b
(log (+ 1.0 x))

rewrite9.0ms

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:
8.0ms
(log (+ 1.0 x))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(log (+ 1.0 x))

simplify1.2s

Counts
20 → 20
Iterations
IterNodes
done5000
31662
2419
1131
060

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune4.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (fma 1.0 1.0 (- (* x x)))) (log (- 1.0 x)))
2.5b
(log (fma 1.0 1.0 (- (* x x))))
3.7b
(log (- 1.0 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
18×pow1
16×log-prod prod-diff add-cube-cbrt
15×log-pow
6×distribute-lft-out--
5×add-exp-log associate--r+
4×log-div fma-neg
3×expm1-log1p-u flip3-- add-cbrt-cube associate--l+ log1p-expm1-u flip-- add-log-exp difference-of-squares
2×rem-log-exp associate--r-
1×sub-neg diff-log
Counts
3 → 81
Calls
3 calls:
20.0ms
(- (log (fma 1.0 1.0 (- (* x x)))) (log (- 1.0 x)))
1.0ms
(log (fma 1.0 1.0 (- (* x x))))
5.0ms
(log (- 1.0 x))

series445.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(- (log (fma 1.0 1.0 (- (* x x)))) (log (- 1.0 x)))
193.0ms
(log (fma 1.0 1.0 (- (* x x))))
86.0ms
(log (- 1.0 x))

simplify1.1s

Counts
90 → 90
Iterations
IterNodes
done5000
21502
1390
0162

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))
0.0b
(fma (/ (pow x 3) (pow 1.0 3)) 1/3 (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x)))
7.6b
(- (fma (/ (pow x 3) (pow 1.0 3)) 1/3 (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (* 1.0 (* x x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×expm1-log1p-u pow1 add-cbrt-cube fma-neg prod-diff add-exp-log fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
3 → 41
Calls
3 calls:
0.0ms
(fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))
0.0ms
(fma (/ (pow x 3) (pow 1.0 3)) 1/3 (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x)))
11.0ms
(- (fma (/ (pow x 3) (pow 1.0 3)) 1/3 (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (* 1.0 (* x x)))

series255.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))
62.0ms
(fma (/ (pow x 3) (pow 1.0 3)) 1/3 (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x)))
91.0ms
(- (fma (/ (pow x 3) (pow 1.0 3)) 1/3 (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (* 1.0 (* x x)))

simplify574.0ms

Counts
50 → 50
Iterations
IterNodes
done5001
2713
1181
077

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s2308×body1280valid
487.0ms1644×body640valid
120.0ms806×body320valid
89.0ms2729×body80nan
89.0ms2821×body80valid
38.0ms421×body160valid