Details

Time bar (total: 16.1s)

sample229.0ms

Algorithm
intervals
Results
135.0ms95×body1280valid
55.0ms92×body640valid
14.0ms44×body320valid
5.0ms256×pre80true
3.0ms18×body160valid
1.0ms7×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.5b
(log (- 1.0 x))
5.7b
(log (+ 1.0 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
25.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms
(log (- 1.0 x))
7.0ms
(log (+ 1.0 x))

series324.0ms

Counts
3 → 9
Calls
3 calls:
177.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
81.0ms
(log (- 1.0 x))
65.0ms
(log (+ 1.0 x))

simplify1.1s

Counts
84 → 84
Iterations
IterNodes
done5000
21839
1457
0191

prune429.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
5.5b
(log (- 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
7×pow1
5×log-prod add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
13.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
12.0ms
(log (- 1.0 x))

series227.0ms

Counts
2 → 6
Calls
2 calls:
182.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
45.0ms
(log (- 1.0 x))

simplify765.0ms

Counts
59 → 59
Iterations
IterNodes
done5001
21659
1433
0182

prune364.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×log-pow difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 44
Calls
1 calls:
45.0ms
(/ (- (log 1.0) (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(/ (- (log 1.0) (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

simplify882.0ms

Counts
47 → 47
Iterations
IterNodes
done5000
2827
1233
0103

prune323.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
90×times-frac
88×add-sqr-sqrt
56×add-cube-cbrt
50×cbrt-prod
44×unpow-prod-down cube-prod
32×distribute-lft-out--
20×pow1
16×log-pow difference-of-squares
8×add-cbrt-cube add-exp-log
6×associate-/l*
5×div-inv
3×expm1-log1p-u pow-unpow associate-/r* log1p-expm1-u add-log-exp
2×cube-div cube-mult cbrt-undiv unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow associate-/l/
1×pow-to-exp cbrt-div clear-num pow-pow frac-2neg flip3-- pow1/3 div-sub rem-cbrt-cube flip--
Counts
3 → 172
Calls
3 calls:
12.0ms
(cbrt (pow (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))) 3))
38.0ms
(/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))
16.0ms
(pow (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))) 3)

series569.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(cbrt (pow (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))) 3))
149.0ms
(/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))
260.0ms
(pow (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))) 3)

simplify1.7s

Counts
181 → 181
Iterations
IterNodes
done5001
23526
1671
0209

prune876.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes66.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done23
123
020

end0.0ms

sample7.8s

Algorithm
intervals
Results
5.2s3451×body1280valid
1.6s2454×body640valid
442.0ms1269×body320valid
190.0ms8000×pre80true
112.0ms615×body160valid
17.0ms211×body80valid