Details

sample60.0ms

Algorithm

intervals

Results

5.0ms	62×	body	1280	valid
4.0ms	59×	body	640	valid
3.0ms	175×	body	80	valid
2.0ms	34×	body	320	valid
0.0ms	12×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2448
6	1922
5	1067
4	386
3	130
2	40
1	15
0	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 39.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
3.8b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-l/` `associate--l+` `associate-r/` `log1p-expm1-u`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

24.0ms	(* (+ x 1.0) (+ x 1.0))
22.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series85.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
69.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	2187
1	341
0	106

prune134.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x (+ (sqrt 1.0) 1.0)) (+ (- 1.0 (sqrt 1.0)) x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt` `associate-r` `associate-l` `distribute-lft-out`
4×	`frac-times`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

133.0ms

(* (+ x (+ (sqrt 1.0) 1.0)) (+ (- 1.0 (sqrt 1.0)) x))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (+ x (+ (sqrt 1.0) 1.0)) (+ (- 1.0 (sqrt 1.0)) x))

simplify998.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
2	2267
1	309
0	80

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (sqrt 1.0)) 1.0)
0.0b	(* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0)))
0.0b	(* (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (+ (- 1.0 (sqrt 1.0)) x))
6.9b	(/ (* (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (+ (- 1.0 (sqrt 1.0)) x)) (- x (+ (sqrt 1.0) 1.0)))

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
60×	`frac-times`
56×	`add-sqr-sqrt`
42×	`prod-diff`
40×	`flip3-+` `flip-+`
30×	`associate-*l/` `add-cube-cbrt`
26×	`associate-/l/`
24×	`distribute-rgt-in` `distribute-lft-in`
22×	`flip3--` `flip--`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/` `distribute-lft-out`
12×	`distribute-rgt-out`
11×	`pow1` `associate-r`
9×	`add-log-exp`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
6×	`associate-/r` `times-frac` `associate-l*` `distribute-rgt1-in` `sqrt-prod`
4×	`expm1-log1p-u` `fma-def` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `sum-log` `div-exp` `difference-of-squares`
2×	`sub-neg` `associate-/r/` `*-commutative`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 209

Calls

4 calls:

29.0ms	(+ (+ x (sqrt 1.0)) 1.0)
140.0ms	(* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0)))
193.0ms	(* (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (+ (- 1.0 (sqrt 1.0)) x))
201.0ms	(/ (* (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (+ (- 1.0 (sqrt 1.0)) x)) (- x (+ (sqrt 1.0) 1.0)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ x (sqrt 1.0)) 1.0)
158.0ms	(* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0)))
128.0ms	(* (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (+ (- 1.0 (sqrt 1.0)) x))
59.0ms	(/ (* (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (+ (- 1.0 (sqrt 1.0)) x)) (- x (+ (sqrt 1.0) 1.0)))

simplify448.0ms

Counts

221 → 221

Iterations

Iter	Nodes
done	5001
1	1369
0	365

prune613.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x (+ (sqrt 1.0) 1.0)) (+ x (- 1.0 (sqrt 1.0))))
0.0b	(+ (+ x (sqrt 1.0)) 1.0)
0.0b	(* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0)))
0.3b	(/ (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (/ (- x (+ (sqrt 1.0) 1.0)) (+ x (- 1.0 (sqrt 1.0)))))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

280×	`*-un-lft-identity`
126×	`times-frac`
118×	`add-sqr-sqrt`
68×	`distribute-lft-out`
64×	`add-cube-cbrt`
53×	`distribute-lft-out--`
42×	`prod-diff`
41×	`associate-/r*`
23×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-cbrt-cube` `add-exp-log`
17×	`difference-of-squares`
12×	`distribute-rgt-out`
10×	`flip3-+` `flip-+` `associate-/l/`
9×	`add-log-exp`
8×	`frac-times`
7×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--` `associate-/l*`
6×	`pow1` `associate-r` `distribute-rgt1-in` `sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `fma-def` `associate-l/` `associate-r/` `log1p-expm1-u` `div-inv`
3×	`sum-log` `prod-exp` `cbrt-unprod`
2×	`clear-num` `sub-neg` `frac-2neg`
1×	`+-commutative` `associate-+l+` `div-sub` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 262

Calls

4 calls:

76.0ms	(/ (- x (+ (sqrt 1.0) 1.0)) (+ x (- 1.0 (sqrt 1.0))))
29.0ms	(+ (+ x (sqrt 1.0)) 1.0)
139.0ms	(* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0)))
128.0ms	(/ (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (/ (- x (+ (sqrt 1.0) 1.0)) (+ x (- 1.0 (sqrt 1.0)))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (- x (+ (sqrt 1.0) 1.0)) (+ x (- 1.0 (sqrt 1.0))))
43.0ms	(+ (+ x (sqrt 1.0)) 1.0)
158.0ms	(* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0)))
59.0ms	(/ (* (+ (+ x (sqrt 1.0)) 1.0) (- x (+ (sqrt 1.0) 1.0))) (/ (- x (+ (sqrt 1.0) 1.0)) (+ x (- 1.0 (sqrt 1.0)))))

simplify445.0ms

Counts

274 → 274

Iterations

Iter	Nodes
done	5001
1	1295
0	381

prune552.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample949.0ms

Algorithm

intervals

Results

394.0ms	5433×	body	80	valid
204.0ms	2318×	body	1280	valid
154.0ms	1623×	body	640	valid
39.0ms	840×	body	320	valid
13.0ms	399×	body	160	valid