Details

sample268.0ms

Algorithm

intervals

Results

161.0ms	103×	body	1280	valid
63.0ms	82×	body	640	valid
16.0ms	46×	body	320	valid
6.0ms	256×	pre	80	true
3.0ms	16×	body	160	valid
1.0ms	9×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize37.0ms

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))

rewrite47.0ms

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))
8.0ms	(log (+ 1.0 x))

series337.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
62.0ms	(log (- 1.0 x))
85.0ms	(log (+ 1.0 x))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1839
1	457
0	191

prune433.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.3b

localize30.0ms

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))

rewrite20.0ms

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:

12.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
6.0ms	(log (- 1.0 x))

series240.0ms

Counts

2 → 6

Calls

2 calls:

184.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
56.0ms	(log (- 1.0 x))

simplify1.4s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1659
1	433
0	182

prune451.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

25.0ms

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

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	823
1	229
0	100

prune374.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b

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

0.0b

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
126×	`*-un-lft-identity`
110×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
32×	`distribute-lft-out--`
30×	`associate-/r*`
19×	`pow1`
16×	`log-pow` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 165

Calls

2 calls:

16.0ms

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

10.0ms

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

series334.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms

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

156.0ms

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

simplify2.2s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	3038
1	579
0	236

prune813.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes102.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.2s	3464×	body	1280	valid
1.9s	2480×	body	640	valid
448.0ms	1238×	body	320	valid
147.0ms	8000×	pre	80	true
99.0ms	599×	body	160	valid
15.0ms	219×	body	80	valid