Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify971.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1566
4	417
3	159
2	58
1	23
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize16.0ms

Local error

Found 1 expressions with local error:

23.0b

(- (pow y 4) (* (pow x 4.0) 9.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

12.0ms

(- (pow y 4) (* (pow x 4.0) 9.0))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (pow y 4) (* (pow x 4.0) 9.0))

simplify954.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
3	1295
2	283
1	85
0	32

prune63.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize34.0ms

Local error

Found 2 expressions with local error:

2.0b	(exp (log (- (pow y 4) (* 9.0 (pow x 4.0)))))
23.0b	(- (pow y 4) (* 9.0 (pow x 4.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`pow1` `log-prod` `exp-sum`
2×	`log-div` `flip3--` `add-cbrt-cube` `exp-diff` `add-exp-log` `flip--`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 29

Calls

2 calls:

8.0ms	(exp (log (- (pow y 4) (* 9.0 (pow x 4.0)))))
11.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(exp (log (- (pow y 4) (* 9.0 (pow x 4.0)))))
46.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

simplify939.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
3	1414
2	356
1	129
0	63

prune200.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.6b	(exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0)))))
3.5b	(pow (exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0))))) (sqrt (log (- (pow y 4) (* 9.0 (pow x 4.0))))))
23.0b	(- (pow y 4) (* (pow x 4.0) 9.0))
23.0b	(- (pow y 4) (* 9.0 (pow x 4.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod`
12×	`sqrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-log-exp`
8×	`pow1` `pow-pow`
7×	`pow-unpow`
4×	`add-cbrt-cube` `add-exp-log`
3×	`unpow-prod-down` `log-pow`
2×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-exp` `sqr-pow` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

4.0ms	(exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0)))))
13.0ms	(pow (exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0))))) (sqrt (log (- (pow y 4) (* 9.0 (pow x 4.0))))))
30.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
20.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0)))))
299.0ms	(pow (exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0))))) (sqrt (log (- (pow y 4) (* 9.0 (pow x 4.0))))))
46.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
34.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

simplify658.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1065
1	315
0	132

prune616.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize47.0ms

Local error

Found 4 expressions with local error:

23.0b	(- (pow y 4) (* (pow x 4.0) 9.0))
23.0b	(- (pow y 4) (* (pow x 4.0) 9.0))
23.0b	(- (pow y 4) (* (pow x 4.0) 9.0))
23.0b	(- (pow y 4) (* (pow x 4.0) 9.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-log-exp`
4×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

4 → 48

Calls

4 calls:

11.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
14.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
31.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
22.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
41.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
49.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
45.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))

simplify987.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	1295
2	283
1	85
0	32

prune625.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.4b

simplify9.0ms

Iterations

Iter	Nodes
done	44
3	44
2	42
1	40
0	34

end0.0ms

sample1.0s

Algorithm

intervals

Results

532.0ms	8000×	body	80	valid
233.0ms	8000×	pre	80	true