Details

sample202.0ms

Algorithm

intervals

Results

88.0ms	98×	body	1280	valid
49.0ms	98×	body	640	valid
22.0ms	321×	body	80	nan
10.0ms	33×	body	320	valid
4.0ms	21×	body	160	valid
1.0ms	6×	body	80	valid

simplify226.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	127
9	127
8	123
7	116
6	105
5	88
4	60
3	38
2	25
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

57.0ms	(/ (+ 1.0 x) (- 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series298.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (+ 1.0 x) (- 1.0 x))
238.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify4.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
3	2803
2	878
1	345
0	146

prune648.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (* (/ x 1.0) (/ x 1.0)))
0.0b	(fma x (fma 2.0 x 2.0) (- (log 1.0) (* 2.0 (* (/ x 1.0) (/ x 1.0)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
7×	`pow1`
4×	`cbrt-undiv` `add-sqr-sqrt` `associate-*r/` `div-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

69.0ms	(* 2.0 (* (/ x 1.0) (/ x 1.0)))
1.0ms	(fma x (fma 2.0 x 2.0) (- (log 1.0) (* 2.0 (* (/ x 1.0) (/ x 1.0)))))

series639.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 2.0 (* (/ x 1.0) (/ x 1.0)))
587.0ms	(fma x (fma 2.0 x 2.0) (- (log 1.0) (* 2.0 (* (/ x 1.0) (/ x 1.0)))))

simplify4.2s

Counts

46 → 46

Iterations

Iter	Nodes
done	5038
3	3085
2	700
1	185
0	78

prune339.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune26.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.3b	(log (+ 1.0 x))
5.3b	(log (- 1.0 x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

37.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
9.0ms	(log (+ 1.0 x))
12.0ms	(log (- 1.0 x))

series683.0ms

Counts

3 → 9

Calls

3 calls:

511.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
86.0ms	(log (+ 1.0 x))
85.0ms	(log (- 1.0 x))

simplify3.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5012
3	3166
2	954
1	389
0	166

prune513.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.6s	3399×	body	1280	valid
2.1s	2445×	body	640	valid
567.0ms	7921×	body	80	nan
417.0ms	1259×	body	320	valid
138.0ms	693×	body	160	valid
86.0ms	204×	body	80	valid