Details

sample19.0ms

Algorithm

intervals

Results

5.0ms	65×	body	640	valid
3.0ms	133×	body	80	valid
2.0ms	35×	body	320	valid
1.0ms	23×	body	160	valid

simplify6.0ms

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: 14.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite152.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub`

Counts

2 → 469

Calls

2 calls:

10.0ms	(/ 1.0 (- x 1.0))
98.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (- x 1.0))
170.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.6s

Counts

475 → 475

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	509	23936
1	1146	21408
2	2517	15906
done	5000	12092

prune393.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite75.0ms

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:

13.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
58.0ms	(- (- x 1.0) (+ x 1.0))

series60.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

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

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (* 1 (- (- 0 1.0) 1.0)))
0.5b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

112×	`distribute-rgt-in` `distribute-lft-in`
99×	`add-sqr-sqrt` `*-un-lft-identity`
96×	`prod-diff`
75×	`add-cube-cbrt`
44×	`associate--l+`
24×	`times-frac`
21×	`add-exp-log`
19×	`difference-of-squares`
18×	`associate-l`
16×	`add-cbrt-cube`
12×	`distribute-lft-out--`
10×	`prod-exp`
8×	`sub-neg`
7×	`pow1`
6×	`associate-*r/` `cbrt-unprod`
4×	`flip3--` `div-exp` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `frac-times` `1-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative`

Counts

2 → 193

Calls

2 calls:

141.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (* 1 (- (- 0 1.0) 1.0)))
12.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (* 1 (- (- 0 1.0) 1.0)))
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.6s

Counts

199 → 199

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	406	6967
1	888	5151
2	2204	3302
done	5000	2850

prune190.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (* 1 (- (- 0 1.0) 1.0)))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

348×	`*-un-lft-identity`
312×	`times-frac`
282×	`add-sqr-sqrt`
184×	`add-cube-cbrt`
112×	`distribute-rgt-in` `distribute-lft-in`
96×	`associate-l` `prod-diff`
49×	`distribute-lft-out--` `difference-of-squares`
44×	`associate--l+`
37×	`add-exp-log`
33×	`distribute-lft-out`
28×	`add-cbrt-cube`
26×	`associate-/r/`
18×	`associate-/l*`
15×	`prod-exp`
13×	`div-inv`
12×	`div-exp`
11×	`flip3-+` `flip-+`
9×	`cbrt-undiv` `cbrt-unprod`
8×	`sub-neg`
7×	`pow1`
6×	`associate-*r/`
5×	`associate-/r*`
4×	`flip3--` `flip--`
3×	`1-exp` `pow-prod-down`
2×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 373

Calls

2 calls:

169.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (* 1 (- (- 0 1.0) 1.0)))
27.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series137.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (* 1 (- (- 0 1.0) 1.0)))
66.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify2.0s

Counts

379 → 379

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	594	10654
1	1511	8321
2	4547	6370
done	5000	6369

prune532.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes21.0ms

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	9	13
1	11	13
done	11	13

end0.0ms

sample477.0ms

Algorithm

intervals

Results

155.0ms	1923×	body	640	valid
96.0ms	4226×	body	80	valid
78.0ms	1220×	body	320	valid
26.0ms	631×	body	160	valid