Details

sample276.0ms

Algorithm

intervals

Results

172.0ms	103×	body	1280	valid
58.0ms	82×	body	640	valid
17.0ms	46×	body	320	valid
6.0ms	256×	pre	80	true
4.0ms	16×	body	160	valid
1.0ms	9×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0b	(log (- 1.0 x))
5.0b	(log (+ 1.0 x))

rewrite43.0ms

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:

24.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
9.0ms	(log (- 1.0 x))
7.0ms	(log (+ 1.0 x))

series305.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
62.0ms	(log (- 1.0 x))
75.0ms	(log (+ 1.0 x))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1839
1	457
0	191

prune473.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.3b

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))))
5.0b	(log (- 1.0 x))

rewrite31.0ms

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:

24.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
5.0ms	(log (- 1.0 x))

series231.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
71.0ms	(log (- 1.0 x))

simplify652.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1659
1	433
0	182

prune409.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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))))

rewrite29.0ms

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:

23.0ms

(/ (- (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))))

series137.0ms

Counts

1 → 3

Calls

1 calls:

137.0ms

(/ (- (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))))

simplify466.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	827
1	233
0	103

prune354.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))) (cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))))
0.7b	(cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))
0.7b	(cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))
0.7b	(cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))) (cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))))
266.0ms	(cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))
233.0ms	(cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))
279.0ms	(cbrt (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))

simplify883.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1848
1	475
0	180

prune908.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes68.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample7.4s

Algorithm

intervals

Results

4.3s	3464×	body	1280	valid
1.6s	2480×	body	640	valid
548.0ms	599×	body	160	valid
416.0ms	1238×	body	320	valid
216.0ms	8000×	pre	80	true
16.0ms	219×	body	80	valid