Details

sample409.0ms

Algorithm

intervals

Results

210.0ms	212×	body	10240	exit
41.0ms	383×	body	80	nan
36.0ms	244×	body	80	valid
4.0ms	17×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

16.0ms	(sqrt (+ (exp x) 1))
17.0ms	(+ (exp x) 1)

series65.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(sqrt (+ (exp x) 1))
25.0ms	(+ (exp x) 1)

simplify976.0ms

Counts

36 → 36

Iterations

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

prune302.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

35×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`cbrt-div` `*-un-lft-identity`
16×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt` `associate-*r/`
8×	`add-cube-cbrt` `distribute-lft-out` `add-log-exp`
6×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
4×	`associate-r` `associate-l` `insert-posit16`
2×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

6.0ms	(+ (exp x) 1)
9.0ms	(+ (exp x) 1)
74.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
53.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (exp x) 1)
15.0ms	(+ (exp x) 1)
34.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
10.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))

simplify2.5s

Counts

116 → 116

Iterations

Iter	Nodes
3	4467
2	1582
1	513
0	155

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
0.1b	(* (exp x) (exp x))
0.1b	(* (exp x) (exp x))
4.0b	(- 1 (exp x))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`exp-prod`
35×	`*-un-lft-identity`
32×	`add-cube-cbrt`
18×	`pow1`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`pow2` `flip3-+` `pow-plus` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 118

Calls

4 calls:

181.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
27.0ms	(* (exp x) (exp x))
26.0ms	(* (exp x) (exp x))
11.0ms	(- 1 (exp x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
23.0ms	(* (exp x) (exp x))
18.0ms	(* (exp x) (exp x))
16.0ms	(- 1 (exp x))

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
3	3953
2	1010
1	364
0	151

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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	15
1	15
0	10

end0.0ms

sample9.1s

Algorithm

intervals

Results

5.4s	6642×	body	10240	exit
2.2s	12583×	body	80	nan
870.0ms	7414×	body	80	valid
210.0ms	702×	body	160	valid