Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

483×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	43	7
4	73	6
5	144	6
6	418	6
7	1414	6
8	4702	6
done	5000	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

10.0ms

(exp (- (* x x) 1.0))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(exp (- (* x x) 1.0))

simplify1.8s

Counts

19 → 19

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	38	151
1	72	147
2	165	134
3	529	130
4	2490	130
done	5000	130

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (+ x (sqrt 1.0)))
0.0b	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`exp-prod`
6×	`add-cube-cbrt` `pow-unpow`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down`
3×	`pow1`
2×	`unpow-prod-up` `add-exp-log` `exp-sum` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`pow-to-exp` `sub-neg` `pow-exp` `sum-log` `sqrt-prod` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 42

Calls

2 calls:

12.0ms	(exp (+ x (sqrt 1.0)))
19.0ms	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(exp (+ x (sqrt 1.0)))
183.0ms	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

simplify892.0ms

Counts

48 → 48

Iterations

Useful iterations: done (890.0ms)

Iter	Nodes	Cost
0	81	564
1	181	526
2	536	494
3	1761	490
done	5000	489

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- x (sqrt 1.0))))
0.0b	(pow (exp x) (- x (sqrt 1.0)))
0.1b	(pow (exp (sqrt 1.0)) (- x (sqrt 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
18×	`unpow-prod-down` `*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow-unpow`
11×	`pow-pow`
10×	`sqr-pow`
9×	`add-exp-log` `exp-prod` `associate-r` `associate-l` `prod-exp` `unswap-sqr`
8×	`unpow-prod-up` `pow-to-exp` `pow-exp`
6×	`pow-sub`
5×	`pow1` `sqrt-prod` `add-cbrt-cube`
4×	`sub-neg` `difference-of-squares`
3×	`add-log-exp`
2×	`distribute-lft-out--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `cbrt-unprod`

Counts

3 → 104

Calls

3 calls:

19.0ms	(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- x (sqrt 1.0))))
5.0ms	(pow (exp x) (- x (sqrt 1.0)))
7.0ms	(pow (exp (sqrt 1.0)) (- x (sqrt 1.0)))

series413.0ms

Counts

3 → 9

Calls

3 calls:

290.0ms	(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- x (sqrt 1.0))))
41.0ms	(pow (exp x) (- x (sqrt 1.0)))
81.0ms	(pow (exp (sqrt 1.0)) (- x (sqrt 1.0)))

simplify723.0ms

Counts

113 → 113

Iterations

Useful iterations: done (720.0ms)

Iter	Nodes	Cost
0	159	1807
1	365	1575
2	1204	1481
done	5000	1437

prune304.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
36×	`pow-to-exp` `pow-exp` `prod-exp`
35×	`add-sqr-sqrt`
30×	`div-exp`
24×	`unpow-prod-down`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`sqr-pow`
11×	`pow-pow` `add-cbrt-cube`
9×	`pow-unpow` `exp-prod` `associate-l` `unswap-sqr`
7×	`times-frac` `associate-r` `associate-/r*`
6×	`pow1`
4×	`unpow-prod-up` `sqrt-prod` `add-log-exp`
3×	`pow-sub`
2×	`cbrt-undiv` `sub-neg` `associate-*l/` `cbrt-unprod` `difference-of-squares`
1×	`frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `distribute-lft-out--`

Counts

4 → 151

Calls

4 calls:

3.0ms	(pow (exp (sqrt 1.0)) x)
15.0ms	(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) x))
10.0ms	(/ (* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) x)) (pow (exp (sqrt 1.0)) (sqrt 1.0)))
5.0ms	(pow (exp x) (- x (sqrt 1.0)))

series831.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow (exp (sqrt 1.0)) x)
215.0ms	(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) x))
525.0ms	(/ (* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) x)) (pow (exp (sqrt 1.0)) (sqrt 1.0)))
43.0ms	(pow (exp x) (- x (sqrt 1.0)))

simplify633.0ms

Counts

163 → 163

Iterations

Useful iterations: 2 (250.0ms)

Iter	Nodes	Cost
0	233	2818
1	541	2492
2	1787	1989
done	5000	1989

prune406.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20
done	12	20

end0.0ms

sample548.0ms

Algorithm

intervals

Results

363.0ms

16019×

body

valid