Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	76×	body	640	valid
6.0ms	121×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.1b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

2.3s	(/ 1.0 (+ x 1.0))
270.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series334.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ 1.0 (+ x 1.0))
270.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify8.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5004
3	3590
2	817
1	285
0	120

prune562.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
2.2b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`times-frac` `associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

52.0ms	(* (+ x 1.0) x)
189.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
18.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series172.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (+ x 1.0) x)
70.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
16.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify9.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
2	1521
1	337
0	112

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.5b	(/ (- 1.0) (* (+ x 1.0) x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

46.0ms	(* (+ x 1.0) x)
30.0ms	(/ (- 1.0) (* (+ x 1.0) x))

series331.0ms

Counts

2 → 6

Calls

2 calls:

254.0ms	(* (+ x 1.0) x)
65.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify4.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	960
1	296
0	118

prune625.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
269×	`*-un-lft-identity`
167×	`add-sqr-sqrt` `add-cube-cbrt`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
56×	`associate-/l*`
51×	`distribute-lft-out`
21×	`neg-mul-1`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 274

Calls

2 calls:

33.0ms	(/ (- 1.0) (+ x 1.0))
73.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

series210.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- 1.0) (+ x 1.0))
164.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

simplify7.6s

Counts

280 → 280

Iterations

Iter	Nodes
done	5003
2	2252
1	858
0	363

prune4.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	11
2	11
1	9
0	6

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.9s	4148×	body	80	valid
830.0ms	1917×	body	640	valid
804.0ms	1276×	body	320	valid
74.0ms	659×	body	160	valid