Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

537×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	45	7
4	77	6
5	148	6
6	420	6
7	1498	6
done	5001	6

prune9.0ms

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))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
11×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
6×	`prod-diff`
5×	`distribute-neg-in` `exp-sum`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`fma-neg` `rem-exp-log` `difference-of-squares`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `neg-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `exp-diff` `flip--`

Counts

2 → 52

Calls

2 calls:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 1.0 (* x x))
24.0ms	(exp (- (- 1.0 (* x x))))

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	96	523
1	196	505
2	482	436
3	1707	390
done	5000	389

prune120.0ms

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 (* x x))
0.0b	(exp (- (pow (- 1.0 (* x x)) 1)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`exp-prod`
12×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`distribute-lft-neg-in` `unpow-prod-down` `distribute-rgt-neg-in`
6×	`add-log-exp`
3×	`fma-neg` `prod-diff` `difference-of-squares`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `sqr-pow`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `neg-log` `flip--`

Counts

2 → 54

Calls

2 calls:

2.0ms	(- 1.0 (* x x))
22.0ms	(exp (- (pow (- 1.0 (* x x)) 1)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 1.0 (* x x))
26.0ms	(exp (- (pow (- 1.0 (* x x)) 1)))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	109	576
1	211	494
2	523	450
3	1729	428
done	5000	425

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 2) 1.0)
0.0b	(exp (- (pow x 2) 1.0))
1.0b	(log1p (exp (- (pow x 2) 1.0)))
1.0b	(expm1 (log1p (exp (- (pow x 2) 1.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
47×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
26×	`exp-sum`
23×	`unpow-prod-down`
9×	`unpow2` `add-log-exp` `sqr-pow`
8×	`exp-prod` `fma-neg` `difference-of-squares`
5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `rem-exp-log` `distribute-lft-out--`
1×	`log1p-udef` `expm1-log1p` `flip3--` `exp-diff` `log1p-expm1` `flip--` `expm1-udef`

Counts

4 → 119

Calls

4 calls:

10.0ms	(- (pow x 2) 1.0)
22.0ms	(exp (- (pow x 2) 1.0))
0.0ms	(log1p (exp (- (pow x 2) 1.0)))
0.0ms	(expm1 (log1p (exp (- (pow x 2) 1.0))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (pow x 2) 1.0)
29.0ms	(exp (- (pow x 2) 1.0))
141.0ms	(log1p (exp (- (pow x 2) 1.0)))
205.0ms	(expm1 (log1p (exp (- (pow x 2) 1.0))))

simplify1.4s

Counts

131 → 131

Iterations

Useful iterations: 3 (654.0ms)

Iter	Nodes	Cost
0	174	2064
1	325	1512
2	779	1179
3	2698	980
done	5001	980

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (exp 1.0) (exp (* x x))))
0.0b	(/ (exp 1.0) (exp (* x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 107

Calls

2 calls:

8.0ms	(/ 1 (/ (exp 1.0) (exp (* x x))))
4.0ms	(/ (exp 1.0) (exp (* x x)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ 1 (/ (exp 1.0) (exp (* x x))))
66.0ms	(/ (exp 1.0) (exp (* x x)))

simplify2.1s

Counts

113 → 113

Iterations

Useful iterations: 3 (770.0ms)

Iter	Nodes	Cost
0	169	1789
1	372	1543
2	872	1315
3	2270	1298
done	5000	1298

prune166.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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	8	8
done	8	8

end0.0ms

sample520.0ms

Algorithm

intervals

Results

343.0ms

16186×

body

valid