Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	56×	body	640	valid
3.0ms	132×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	28×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4
done	12	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

11.0ms	(/ 1.0 (+ x 1.0))
80.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1.0 (+ x 1.0))
58.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify101.0ms

Counts

320 → 320

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	873	6795
1	2645	4746
2	5001	3686
done	5001	3686

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

20.0ms	(* (+ x 1.0) x)
51.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
18.0ms	(- x (+ x 1.0))

series85.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (+ x 1.0) x)
33.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify66.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	402	611
1	2289	439
2	5001	426
done	5001	426

prune137.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 478

Calls

2 calls:

26.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
49.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series58.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
34.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify82.0ms

Counts

484 → 484

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1596	5690
1	5002	5510
done	5002	5510

prune869.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
0.3b	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.3b	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.3b	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

1254×	`times-frac`
1135×	`*-un-lft-identity`
737×	`cbrt-prod`
723×	`add-sqr-sqrt`
475×	`add-cube-cbrt`
159×	`distribute-lft-out`
152×	`swap-sqr`
132×	`distribute-lft-out--`
96×	`difference-of-squares`
86×	`associate-r` `associate-l`
49×	`associate-/r/`
28×	`div-inv`
21×	`flip3--` `flip--`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 645

Calls

4 calls:

210.0ms	(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
14.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
14.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
14.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

series629.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
145.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
148.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
159.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

simplify204.0ms

Counts

657 → 657

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1115	11051
1	4873	10939
2	5001	10939
done	5001	10939

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample397.0ms

Algorithm

intervals

Results

120.0ms	1856×	body	640	valid
79.0ms	4258×	body	80	valid
62.0ms	1236×	body	320	valid
21.0ms	650×	body	160	valid