Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

537×

body

valid

simplify5.6s

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	1469	6
done	5000	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
8×	`add-sqr-sqrt` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`rem-exp-log` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `distribute-neg-in` `diff-log` `exp-sum` `neg-log` `add-cbrt-cube`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `exp-diff` `flip--`

Counts

2 → 39

Calls

2 calls:

2.0ms	(- 1.0 (* x x))
11.0ms	(exp (- (- 1.0 (* x x))))

series66.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- 1.0 (* x x))
24.0ms	(exp (- (- 1.0 (* x x))))

simplify1.5s

Counts

45 → 45

Iterations

Useful iterations: 3 (255.0ms)

Iter	Nodes	Cost
0	77	373
1	159	357
2	398	315
3	1437	309
done	5001	309

prune93.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (- (pow x 2)))
0.0b	(exp (- (+ 1.0 (- (pow x 2)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`exp-prod`
12×	`add-log-exp`
8×	`distribute-rgt-neg-in`
6×	`distribute-lft-out`
5×	`distribute-lft-neg-in` `add-sqr-sqrt` `add-cube-cbrt` `neg-log`
4×	`sum-log` `rem-exp-log`
2×	`pow1` `add-exp-log` `neg-sub0` `add-cbrt-cube`
1×	`+-commutative` `exp-neg` `associate-+r-` `neg-mul-1` `distribute-neg-in` `flip3-+` `exp-diff` `unsub-neg` `exp-sum` `flip-+`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+ 1.0 (- (pow x 2)))
75.0ms	(exp (- (+ 1.0 (- (pow x 2)))))

series67.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ 1.0 (- (pow x 2)))
25.0ms	(exp (- (+ 1.0 (- (pow x 2)))))

simplify1.5s

Counts

51 → 51

Iterations

Useful iterations: 3 (214.0ms)

Iter	Nodes	Cost
0	74	410
1	162	349
2	376	306
3	1425	298
done	5000	298

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

17.0ms

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

series123.0ms

Counts

1 → 3

Calls

1 calls:

123.0ms

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

simplify1.8s

Counts

30 → 30

Iterations

Useful iterations: 3 (419.0ms)

Iter	Nodes	Cost
0	68	344
1	142	318
2	456	266
3	1715	257
done	5001	257

prune62.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`sqrt-pow1`
36×	`exp-prod`
35×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
18×	`exp-sum`
12×	`swap-sqr`
10×	`add-log-exp`
9×	`sub-neg` `pow1/2` `pow-prod-up` `difference-of-squares`
8×	`associate-r` `associate-l`
7×	`exp-diff` `pow-prod-down` `pow-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`rem-exp-log` `unswap-sqr`
2×	`diff-log`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

10.0ms	(sqrt (exp (- (* x x) 1.0)))
9.0ms	(exp (- (* x x) 1.0))
9.0ms	(exp (- (* x x) 1.0))
67.0ms	(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))

series119.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (exp (- (* x x) 1.0)))
22.0ms	(exp (- (* x x) 1.0))
26.0ms	(exp (- (* x x) 1.0))
24.0ms	(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))

simplify1.5s

Counts

136 → 136

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	114	1816
1	216	1279
2	564	1150
3	1901	1093
done	5000	1089

prune236.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	13	7
done	13	7

end0.0ms

sample531.0ms

Algorithm

intervals

Results

349.0ms

16186×

body

valid