Details

sample411.0ms

Algorithm

intervals

Results

136.0ms	199×	body	10240	exit
70.0ms	230×	body	80	valid
42.0ms	383×	body	80	nan
6.0ms	27×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
7	2942
6	752
5	266
4	101
3	49
2	30
1	22
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

8.0ms	(sqrt (+ (exp x) 1))
8.0ms	(+ (exp x) 1)

series69.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(sqrt (+ (exp x) 1))
22.0ms	(+ (exp x) 1)

simplify1000.0ms

Counts

36 → 36

Iterations

Iter	Nodes
4	2369
3	780
2	313
1	137
0	61

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ x (+ x x)))
0.0b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.1b	(* (exp x) (exp x))
5.3b	(- 1 (exp x))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

30×	`exp-prod`
29×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
17×	`add-log-exp`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-cbrt-cube`
5×	`sum-log`
4×	`pow-prod-down` `distribute-rgt1-in` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`distribute-rgt-out` `swap-sqr` `associate-r` `associate-l` `rem-exp-log`
2×	`associate-+l+` `sub-neg` `distribute-lft1-in` `diff-log` `difference-of-squares`
1×	`pow2` `+-commutative` `flip3-+` `pow-plus` `flip3--` `exp-sum` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

42.0ms	(exp (+ x (+ x x)))
60.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
26.0ms	(* (exp x) (exp x))
13.0ms	(- 1 (exp x))

series116.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(exp (+ x (+ x x)))
51.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
23.0ms	(* (exp x) (exp x))
25.0ms	(- 1 (exp x))

simplify812.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2270
2	781
1	325
0	133

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (exp x) (* (exp x) (exp x)))
0.1b	(* (exp x) (exp x))
0.1b	(* (exp x) (exp x))
5.3b	(- 1 (exp x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

63×	`exp-prod`
42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`pow1`
22×	`pow-prod-up`
17×	`pow-prod-down`
13×	`add-cbrt-cube`
12×	`pow-sqr`
9×	`associate-l`
7×	`associate-r`
6×	`swap-sqr` `add-log-exp`
5×	`prod-exp` `add-exp-log` `cbrt-unprod`
4×	`insert-posit16`
3×	`pow2` `pow-plus` `*-commutative` `unswap-sqr`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `cube-unmult` `flip--` `distribute-lft-out--`

Counts

4 → 120

Calls

4 calls:

40.0ms	(* (exp x) (* (exp x) (exp x)))
30.0ms	(* (exp x) (exp x))
22.0ms	(* (exp x) (exp x))
6.0ms	(- 1 (exp x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (exp x) (* (exp x) (exp x)))
17.0ms	(* (exp x) (exp x))
15.0ms	(* (exp x) (exp x))
16.0ms	(- 1 (exp x))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
4	3588
3	1328
2	552
1	262
0	113

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(+ (exp x) 1)
0.0b	(* (sqrt (+ (exp x) 1)) (+ (exp x) 1))
0.1b	(cbrt (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`flip3-+` `flip-+`
13×	`add-sqr-sqrt`
12×	`sqrt-div`
10×	`pow1`
8×	`frac-times` `cbrt-div` `add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sqrt-prod`
4×	`associate-r` `associate-l/` `associate-r/` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow-plus` `pow1/2` `cube-unmult` `pow-prod-up` `unswap-sqr`
1×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

7.0ms	(+ (exp x) 1)
9.0ms	(+ (exp x) 1)
58.0ms	(* (sqrt (+ (exp x) 1)) (+ (exp x) 1))
29.0ms	(cbrt (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (exp x) 1)
16.0ms	(+ (exp x) 1)
81.0ms	(* (sqrt (+ (exp x) 1)) (+ (exp x) 1))
47.0ms	(cbrt (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)))

simplify862.0ms

Counts

97 → 97

Iterations

Iter	Nodes
3	2692
2	998
1	342
0	129

prune947.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	5

end0.0ms

sample10.8s

Algorithm

intervals

Results

7.3s	6639×	body	10240	exit
1.7s	12710×	body	80	nan
1.1s	7420×	body	80	valid
173.0ms	705×	body	160	valid