Details

sample239.0ms

Algorithm

intervals

Results

139.0ms	97×	body	1280	valid
51.0ms	77×	body	640	valid
18.0ms	54×	body	320	valid
5.0ms	256×	pre	80	true
5.0ms	23×	body	160	valid
0.0ms	5×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ x 1.0)))
6.1b	(log (- 1.0 x))
6.3b	(log (+ x 1.0))

rewrite34.0ms

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:

20.0ms	(/ (log (- 1.0 x)) (log (+ x 1.0)))
6.0ms	(log (- 1.0 x))
4.0ms	(log (+ x 1.0))

series317.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(/ (log (- 1.0 x)) (log (+ x 1.0)))
78.0ms	(log (- 1.0 x))
64.0ms	(log (+ x 1.0))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1921
1	468
0	198

prune463.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.2b

localize17.0ms

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))))
6.1b	(log (- 1.0 x))

rewrite44.0ms

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:

31.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
10.0ms	(log (- 1.0 x))

series242.0ms

Counts

2 → 6

Calls

2 calls:

181.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
61.0ms	(log (- 1.0 x))

simplify804.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1659
1	433
0	182

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))))

rewrite31.0ms

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:

28.0ms

(/ (- (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))))

series159.0ms

Counts

1 → 3

Calls

1 calls:

159.0ms

(/ (- (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))))

simplify575.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	827
1	233
0	103

prune330.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 1 expressions with local error:

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))))

rewrite46.0ms

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:

43.0ms

(/ (- (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))))

series191.0ms

Counts

1 → 3

Calls

1 calls:

191.0ms

(/ (- (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))))

simplify649.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	815
1	233
0	104

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes53.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	25
2	25
1	24
0	19

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.1s	3351×	body	1280	valid
1.7s	2503×	body	640	valid
451.0ms	1297×	body	320	valid
157.0ms	8000×	pre	80	true
117.0ms	626×	body	160	valid
18.0ms	223×	body	80	valid