Details

sample242.0ms

Algorithm

intervals

Results

147.0ms	116×	body	1280	valid
52.0ms	78×	body	640	valid
15.0ms	42×	body	320	valid
6.0ms	256×	pre	80	true
3.0ms	16×	body	160	valid
0.0ms	4×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.5b

localize112.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.4b	(log (- 1.0 x))
4.7b	(log (+ 1.0 x))

rewrite110.0ms

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` `insert-posit16` `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 → 78

Calls

3 calls:

74.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
18.0ms	(log (- 1.0 x))
10.0ms	(log (+ 1.0 x))

series363.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
80.0ms	(log (- 1.0 x))
51.0ms	(log (+ 1.0 x))

simplify3.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1436
1	460
0	194

prune697.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.3b

localize102.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
4.4b	(log (- 1.0 x))

rewrite74.0ms

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` `insert-posit16` `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 → 55

Calls

2 calls:

40.0ms	(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
25.0ms	(log (- 1.0 x))

series338.0ms

Counts

2 → 6

Calls

2 calls:

247.0ms	(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
91.0ms	(log (- 1.0 x))

simplify3.7s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1343
1	435
0	184

prune734.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize138.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

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` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

98.0ms

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

series184.0ms

Counts

1 → 3

Calls

1 calls:

184.0ms

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

simplify5.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5006
3	2380
2	628
1	230
0	101

prune473.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize307.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))))
0.6b	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
0.6b	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
0.6b	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
11×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `distribute-lft-out--`
1×	`flip3--` `log-pow` `flip--` `difference-of-squares`

Counts

4 → 61

Calls

4 calls:

11.0ms	(cbrt (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))))
2.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
2.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
3.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

390.0ms	(cbrt (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))))
402.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
359.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
427.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify7.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3573
2	987
1	343
0	144

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes137.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample8.6s

Algorithm

intervals

Results

4.9s	3350×	body	1280	valid
2.0s	2526×	body	640	valid
602.0ms	1273×	body	320	valid
565.0ms	613×	body	160	valid
249.0ms	8000×	pre	80	true
25.0ms	238×	body	80	valid