Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	47×	body	640	valid
9.0ms	56×	body	320	valid
8.0ms	139×	body	80	valid
2.0ms	14×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

19.0ms	(/ 1.0 (+ x 1.0))
13.0ms	(/ 1.0 (- x 1.0))
141.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1.0 (+ x 1.0))
46.0ms	(/ 1.0 (- x 1.0))
254.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.6s

Counts

513 → 513

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	525	24322
1	1194	21760
2	2656	16242
done	5000	12452

prune620.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
29×	`prod-diff`
27×	`add-cube-cbrt`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`diff-log`
5×	`fma-neg`
4×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `sub-neg` `flip3-+` `sum-log` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 99

Calls

2 calls:

31.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
88.0ms	(- (- x 1.0) (+ x 1.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.0ms	(- (- x 1.0) (+ x 1.0))

simplify2.1s

Counts

105 → 105

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	196	1915
1	492	1565
2	1869	1321
done	5000	1113

prune252.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (cbrt (pow (- (- 0 1.0) 1.0) 3)))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`times-frac`
26×	`cbrt-prod`
23×	`add-cube-cbrt`
21×	`associate-r`
18×	`associate-l`
10×	`unswap-sqr`
9×	`add-exp-log` `difference-of-squares`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
6×	`distribute-lft-out--`
4×	`pow1` `cube-div` `cbrt-div` `flip3--` `associate-/r*` `associate-/r/` `flip--`
3×	`associate-/l*` `sqr-pow`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cube-mult` `frac-2neg` `unpow3` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 104

Calls

2 calls:

249.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (cbrt (pow (- (- 0 1.0) 1.0) 3)))
26.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (cbrt (pow (- (- 0 1.0) 1.0) 3)))
71.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.2s

Counts

110 → 110

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	212	2281
1	531	1910
2	1749	1751
done	5000	1675

prune433.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (cbrt (pow (- (- 0 1.0) 1.0) 3)))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

339×	`times-frac`
300×	`*-un-lft-identity`
262×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
96×	`associate-l`
43×	`distribute-lft-out--`
39×	`difference-of-squares`
37×	`distribute-lft-out`
30×	`cbrt-prod`
28×	`associate-/r/`
21×	`associate-r` `associate-/l*`
19×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`div-inv`
12×	`flip3-+` `flip-+`
9×	`unpow-prod-down` `cube-prod` `associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`cube-div` `cbrt-div` `flip3--` `flip--` `sqr-pow`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`
1×	`cube-mult` `unpow3` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

3 → 321

Calls

3 calls:

14.0ms	(/ 1.0 (+ x 1.0))
358.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (cbrt (pow (- (- 0 1.0) 1.0) 3)))
41.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series257.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1.0 (+ x 1.0))
108.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (cbrt (pow (- (- 0 1.0) 1.0) 3)))
112.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify2.7s

Counts

330 → 330

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	418	6543
1	1110	5618
2	3523	5388
done	5000	5377

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	16
1	15	14
done	15	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

372.0ms	1890×	body	640	valid
344.0ms	4151×	body	80	valid
267.0ms	1309×	body	320	valid
63.0ms	650×	body	160	valid