Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (834.0ms)

Iter	Nodes	Cost
0	11	15
1	49	15
2	300	15
3	991	14
done	5000	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize19.0ms

Local error

Found 1 expressions with local error:

62.0b

(fma 9.0 (pow x 4.0) (* (- 2.0 (* y y)) (* y y)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 9.0 (pow x 4.0) (* (- 2.0 (* y y)) (* y y)))

series276.0ms

Counts

1 → 3

Calls

1 calls:

276.0ms

(fma 9.0 (pow x 4.0) (* (- 2.0 (* y y)) (* y y)))

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	39	233
1	143	230
2	1088	199
done	5000	197

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity`
3×	`pow1` `log-prod` `exp-sum`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 27

Calls

2 calls:

6.0ms	(exp (log x))
1.0ms	(fma 9.0 (pow (exp (log x)) 4.0) (- (pow y 4)))

series532.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(exp (log x))
515.0ms	(fma 9.0 (pow (exp (log x)) 4.0) (- (pow y 4)))

simplify1.5s

Counts

33 → 33

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	60	273
1	154	209
2	902	186
done	5001	180

prune147.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize16.0ms

Local error

Found 2 expressions with local error:

1.0b	(cbrt (pow (- (* (pow x 4.0) 9.0) (pow y 4)) 3))
23.0b	(- (* (pow x 4.0) 9.0) (pow y 4))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
6×	`unpow-prod-down`
4×	`add-log-exp`
3×	`cube-prod`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `sub-neg` `fma-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

2 → 47

Calls

2 calls:

47.0ms	(cbrt (pow (- (* (pow x 4.0) 9.0) (pow y 4)) 3))
24.0ms	(- (* (pow x 4.0) 9.0) (pow y 4))

series1.3s

Counts

2 → 6

Calls

2 calls:

630.0ms	(cbrt (pow (- (* (pow x 4.0) 9.0) (pow y 4)) 3))
681.0ms	(- (* (pow x 4.0) 9.0) (pow y 4))

simplify4.1s

Counts

53 → 53

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	127	1080
1	1121	788
done	5001	761

prune210.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	17	17
done	17	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

582.0ms	8000×	body	80	valid
259.0ms	8000×	pre	80	true