Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	61×	body	640	valid
13.0ms	145×	body	80	valid
6.0ms	33×	body	320	valid
2.0ms	17×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

644×	`*-un-lft-identity`
577×	`times-frac`
486×	`add-sqr-sqrt`
378×	`prod-diff`
358×	`add-cube-cbrt`
84×	`associate-/r/`
79×	`distribute-lft-out--`
72×	`distribute-lft-out`
62×	`difference-of-squares`
43×	`div-inv`
23×	`flip-+`
22×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `frac-sub`

Counts

2 → 469

Calls

2 calls:

12.0ms	(/ 1.0 (- x 1.0))
97.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series314.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 1.0 (- x 1.0))
274.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.0s

Counts

475 → 475

Iterations

Iter	Nodes
done	5000
2	3994
1	1202
0	509

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x 1.0) (+ 1.0 x))
0.0b	(/ (fma (+ 1.0 x) (- 1.0) (* 1.0 (- x 1.0))) (* (- x 1.0) (+ 1.0 x)))
1.9b	(fma (+ 1.0 x) (- 1.0) (* 1.0 (- x 1.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip3--` `flip-+` `flip--`
5×	`pow1` `associate-l`
4×	`associate-r` `associate-l/` `associate-r/`
3×	`expm1-log1p-u` `times-frac` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

32.0ms	(* (- x 1.0) (+ 1.0 x))
14.0ms	(/ (fma (+ 1.0 x) (- 1.0) (* 1.0 (- x 1.0))) (* (- x 1.0) (+ 1.0 x)))
0.0ms	(fma (+ 1.0 x) (- 1.0) (* 1.0 (- x 1.0)))

series470.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* (- x 1.0) (+ 1.0 x))
207.0ms	(/ (fma (+ 1.0 x) (- 1.0) (* 1.0 (- x 1.0))) (* (- x 1.0) (+ 1.0 x)))
153.0ms	(fma (+ 1.0 x) (- 1.0) (* 1.0 (- x 1.0)))

simplify1.9s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	2346
1	399
0	140

prune406.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) (+ 1.0 x))
0.2b	(/ (- 2.0) (* (- x 1.0) (+ 1.0 x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip3--` `flip-+` `flip--`
5×	`associate-l`
4×	`pow1` `associate-r` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `cbrt-undiv` `neg-mul-1` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 80

Calls

2 calls:

52.0ms	(* (- x 1.0) (+ 1.0 x))
27.0ms	(/ (- 2.0) (* (- x 1.0) (+ 1.0 x)))

series210.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* (- x 1.0) (+ 1.0 x))
100.0ms	(/ (- 2.0) (* (- x 1.0) (+ 1.0 x)))

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	2801
1	470
0	161

prune371.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0) (- x 1.0))
0.1b	(/ (/ (- 2.0) (- x 1.0)) (+ 1.0 x))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

524×	`times-frac`
454×	`*-un-lft-identity`
340×	`add-sqr-sqrt`
218×	`add-cube-cbrt`
93×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
66×	`associate-/l*`
61×	`distribute-lft-out--` `difference-of-squares`
57×	`distribute-lft-out`
31×	`neg-mul-1`
14×	`associate-/r/`
9×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `flip-+` `associate-/l/`

Counts

2 → 388

Calls

2 calls:

22.0ms	(/ (- 2.0) (- x 1.0))
39.0ms	(/ (/ (- 2.0) (- x 1.0)) (+ 1.0 x))

series120.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 2.0) (- x 1.0))
89.0ms	(/ (/ (- 2.0) (- x 1.0)) (+ 1.0 x))

simplify626.0ms

Counts

394 → 394

Iterations

Iter	Nodes
done	5000
1	1196
0	463

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

736.0ms	1944×	body	640	valid
277.0ms	1286×	body	320	valid
202.0ms	4143×	body	80	valid
54.0ms	627×	body	160	valid