Details

sample45.0ms

Algorithm

intervals

Results

29.0ms

529×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (48.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	44	7
4	70	6
5	132	6
6	377	6
7	1355	6
done	5000	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 1.0)
0.0b	(exp (- (* x x) 1.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`exp-prod`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `sub-neg` `diff-log` `exp-sum` `add-cbrt-cube` `rem-exp-log` `difference-of-squares`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 29

Calls

2 calls:

10.0ms	(- (* x x) 1.0)
29.0ms	(exp (- (* x x) 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* x x) 1.0)
47.0ms	(exp (- (* x x) 1.0))

simplify2.1s

Counts

35 → 35

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	54	287
1	117	272
2	273	247
3	679	243
4	2080	243
done	5001	242

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp x) x)
0.0b	(* (pow (exp x) x) (exp (- 1.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-l`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `add-exp-log` `pow-unpow` `exp-prod` `associate-r` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`exp-neg` `pow-to-exp` `associate-*r/` `pow-exp` `add-log-exp`
1×	`neg-sub0` `exp-diff` `un-div-inv` `*-commutative` `cbrt-unprod`

Counts

2 → 48

Calls

2 calls:

8.0ms	(pow (exp x) x)
65.0ms	(* (pow (exp x) x) (exp (- 1.0)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(pow (exp x) x)
184.0ms	(* (pow (exp x) x) (exp (- 1.0)))

simplify2.3s

Counts

54 → 54

Iterations

Useful iterations: 3 (625.0ms)

Iter	Nodes	Cost
0	81	492
1	171	452
2	466	398
3	1531	389
done	5000	389

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) 1.0)
0.0b	(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))
0.0b	(exp (- (* x x) 1.0))
0.0b	(exp (- (* x x) 1.0))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
32×	`exp-prod` `sqrt-pow1`
30×	`sqrt-prod`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
16×	`exp-sum`
12×	`swap-sqr` `add-log-exp`
9×	`sub-neg` `pow-prod-up` `difference-of-squares`
8×	`pow1/2` `associate-r` `associate-l`
7×	`pow-prod-down` `pow-sqr`
6×	`add-exp-log` `exp-diff` `add-cbrt-cube`
4×	`sqrt-div` `rem-exp-log` `unswap-sqr`
3×	`diff-log`
1×	`pow2` `frac-times` `flip3--` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

9.0ms	(- (* x x) 1.0)
213.0ms	(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))
46.0ms	(exp (- (* x x) 1.0))
25.0ms	(exp (- (* x x) 1.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* x x) 1.0)
40.0ms	(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))
37.0ms	(exp (- (* x x) 1.0))
38.0ms	(exp (- (* x x) 1.0))

simplify1.8s

Counts

129 → 129

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	120	1725
1	237	1195
2	644	1061
3	2064	1012
done	5001	967

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (pow (exp x) x) (* (cbrt (exp (- 1.0))) (cbrt (exp (- 1.0))))) (cbrt (exp (- 1.0))))
1.0b	(cbrt (exp (- 1.0)))
1.0b	(cbrt (exp (- 1.0)))
1.0b	(cbrt (exp (- 1.0)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`neg-sub0` `exp-neg` `exp-diff`
28×	`frac-times`
23×	`add-exp-log`
16×	`prod-exp`
14×	`associate-*l/`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-r` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
2×	`pow-to-exp` `pow-exp`
1×	`associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 91

Calls

4 calls:

191.0ms	(* (* (pow (exp x) x) (* (cbrt (exp (- 1.0))) (cbrt (exp (- 1.0))))) (cbrt (exp (- 1.0))))
9.0ms	(cbrt (exp (- 1.0)))
9.0ms	(cbrt (exp (- 1.0)))
10.0ms	(cbrt (exp (- 1.0)))

series191.0ms

Counts

4 → 6

Calls

4 calls:

191.0ms	(* (* (pow (exp x) x) (* (cbrt (exp (- 1.0))) (cbrt (exp (- 1.0))))) (cbrt (exp (- 1.0))))
0.0ms	(cbrt (exp (- 1.0)))
0.0ms	(cbrt (exp (- 1.0)))
0.0ms	(cbrt (exp (- 1.0)))

simplify3.1s

Counts

97 → 97

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	126	1543
1	263	1390
2	755	996
3	2820	855
done	5000	839

prune198.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

Details

sample45.0ms

simplify6.0s

prune7.0ms

localize8.0ms

rewrite41.0ms

series102.0ms

simplify2.1s

prune87.0ms

localize10.0ms

rewrite76.0ms

series234.0ms

simplify2.3s

prune211.0ms

localize20.0ms

rewrite302.0ms

series166.0ms

simplify1.8s

prune347.0ms

localize26.0ms

rewrite225.0ms

series191.0ms

simplify3.1s

prune198.0ms

regimes1.0ms