Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	53×	body	1280	valid
5.0ms	138×	body	80	valid
4.0ms	33×	body	320	valid
3.0ms	25×	body	640	valid
0.0ms	7×	body	160	valid

simplify165.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	16	13
3	19	13
4	21	13
5	27	13
6	39	13
7	58	13
8	77	13
9	99	13
10	113	13
11	119	13
12	123	13
done	123	13

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

981×	`*-un-lft-identity`
736×	`times-frac`
585×	`add-sqr-sqrt`
468×	`prod-diff`
419×	`add-cube-cbrt`
189×	`distribute-lft-out`
94×	`associate-/r/`
90×	`distribute-lft-out--`
81×	`difference-of-squares`
47×	`div-inv`
29×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 596

Calls

3 calls:

23.0ms	(/ x (+ x 1.0))
27.0ms	(/ (+ x 1.0) (- x 1.0))
188.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
53.0ms	(/ (+ x 1.0) (- x 1.0))
142.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify3.7s

Counts

605 → 605

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	523	34216
1	1199	30851
2	2823	22735
done	5000	16848

prune687.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite997.0ms

Algorithm

rewrite-expression-head

Rules

1898×	`*-un-lft-identity`
1428×	`times-frac`
1132×	`add-sqr-sqrt`
936×	`prod-diff`
810×	`add-cube-cbrt`
473×	`log-prod`
470×	`exp-sum`
365×	`distribute-lft-out`
182×	`associate-/r/`
175×	`distribute-lft-out--`
157×	`difference-of-squares`
91×	`div-inv`
55×	`flip3-+` `flip-+`
38×	`flip3--` `flip--`
18×	`fma-neg`
17×	`log-pow`
16×	`exp-prod`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`log-div` `exp-diff` `diff-log` `rem-log-exp` `frac-sub`

Counts

4 → 1097

Calls

4 calls:

45.0ms	(/ (+ x 1.0) (- x 1.0))
24.0ms	(/ x (+ x 1.0))
554.0ms	(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
172.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (+ x 1.0) (- x 1.0))
62.0ms	(/ x (+ x 1.0))
210.0ms	(log (exp (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
227.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify2.4s

Counts

1109 → 1109

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	1136	69094
1	1825	60490
2	3748	44278
done	5000	44276

prune2.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

13.2b	(/ x (- (* x x) (* 1.0 1.0)))
13.2b	(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))
13.2b	(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))
28.5b	(fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
44×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`difference-of-squares`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`flip3-+` `flip-+`
1×	`fma-udef`

Counts

4 → 129

Calls

4 calls:

14.0ms	(/ x (- (* x x) (* 1.0 1.0)))
36.0ms	(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))
42.0ms	(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))
0.0ms	(fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ x (- (* x x) (* 1.0 1.0)))
68.0ms	(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))
60.0ms	(/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))
294.0ms	(fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))))

simplify3.5s

Counts

141 → 141

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	169	2601
1	392	2521
2	1186	2066
3	4088	1892
done	5000	1887

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

981×	`*-un-lft-identity`
736×	`times-frac`
585×	`add-sqr-sqrt`
468×	`prod-diff`
419×	`add-cube-cbrt`
189×	`distribute-lft-out`
94×	`associate-/r/`
90×	`distribute-lft-out--`
81×	`difference-of-squares`
47×	`div-inv`
29×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 596

Calls

3 calls:

26.0ms	(/ x (+ x 1.0))
52.0ms	(/ (+ x 1.0) (- x 1.0))
170.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ x (+ x 1.0))
44.0ms	(/ (+ x 1.0) (- x 1.0))
174.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify3.4s

Counts

605 → 605

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	523	34216
1	1199	30851
2	2823	22735
done	5000	16848

prune638.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

Details

sample31.0ms

simplify165.0ms

prune1.0ms

localize11.0ms

rewrite309.0ms

series231.0ms

simplify3.7s

prune687.0ms

localize15.0ms

rewrite997.0ms

series553.0ms

simplify2.4s

prune2.7s

localize27.0ms

rewrite97.0ms

series526.0ms

simplify3.5s

prune641.0ms

localize8.0ms

rewrite343.0ms

series266.0ms

simplify3.4s

prune638.0ms

regimes2.0ms