Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify1.0s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize32.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite27.0ms

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:

27.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify965.0ms

Counts

15 → 15

Iterations

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

prune69.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize27.0ms

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)))

rewrite30.0ms

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:

18.0ms	(exp (log (- (pow y 4) (* 9.0 (pow x 4.0)))))
11.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(exp (log (- (pow y 4) (* 9.0 (pow x 4.0)))))
44.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

simplify1.3s

Counts

35 → 35

Iterations

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

prune207.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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)))

rewrite47.0ms

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:

3.0ms	(exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0)))))
6.0ms	(pow (exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0))))) (sqrt (log (- (pow y 4) (* 9.0 (pow x 4.0))))))
17.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
19.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(exp (sqrt (log (- (pow y 4) (* (pow x 4.0) 9.0)))))
319.0ms	(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))
40.0ms	(- (pow y 4) (* 9.0 (pow x 4.0)))

simplify591.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1065
1	315
0	132

prune473.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize50.0ms

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))

rewrite94.0ms

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:

23.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
24.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
23.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
24.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
52.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
33.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))
53.0ms	(- (pow y 4) (* (pow x 4.0) 9.0))

simplify989.0ms

Counts

60 → 60

Iterations

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

prune564.0ms

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

sample967.0ms

Algorithm

intervals

Results

559.0ms	8000×	body	80	valid
163.0ms	8000×	pre	80	true