Details

sample357.0ms

Algorithm

intervals

Results

195.0ms	208×	body	10240	exit
71.0ms	399×	body	80	nan
28.0ms	238×	body	80	valid
6.0ms	23×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2239
5	433
4	128
3	52
2	31
1	22
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp x))
0.2b	(sqrt (+ 1 (exp x)))

rewrite22.0ms

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:

9.0ms	(+ 1 (exp x))
11.0ms	(sqrt (+ 1 (exp x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1 (exp x))
62.0ms	(sqrt (+ 1 (exp x)))

simplify589.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	637
1	154
0	63

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.2b	(/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ (* (exp x) (- (exp x) 1)) 1))
0.2b	(sqrt (/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ (* (exp x) (- (exp x) 1)) 1)))
4.9b	(- (exp x) 1)

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

27.0ms	(* (exp x) (exp x))
196.0ms	(/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ (* (exp x) (- (exp x) 1)) 1))
80.0ms	(sqrt (/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ (* (exp x) (- (exp x) 1)) 1)))
8.0ms	(- (exp x) 1)

series345.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (exp x) (exp x))
113.0ms	(/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ (* (exp x) (- (exp x) 1)) 1))
182.0ms	(sqrt (/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ (* (exp x) (- (exp x) 1)) 1)))
26.0ms	(- (exp x) 1)

simplify2.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	3055
1	483
0	198

prune599.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.2b	(sqrt (/ 1 (/ (+ (* (exp x) (- (exp x) 1)) 1) (+ (* (* (exp x) (exp x)) (exp x)) 1))))
0.3b	(/ (+ (* (exp x) (- (exp x) 1)) 1) (+ (* (* (exp x) (exp x)) (exp x)) 1))
4.9b	(- (exp x) 1)

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

13.0ms	(* (exp x) (exp x))
135.0ms	(sqrt (/ 1 (/ (+ (* (exp x) (- (exp x) 1)) 1) (+ (* (* (exp x) (exp x)) (exp x)) 1))))
161.0ms	(/ (+ (* (exp x) (- (exp x) 1)) 1) (+ (* (* (exp x) (exp x)) (exp x)) 1))
16.0ms	(- (exp x) 1)

series291.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (exp x) (exp x))
157.0ms	(sqrt (/ 1 (/ (+ (* (exp x) (- (exp x) 1)) 1) (+ (* (* (exp x) (exp x)) (exp x)) 1))))
98.0ms	(/ (+ (* (exp x) (- (exp x) 1)) 1) (+ (* (* (exp x) (exp x)) (exp x)) 1))
16.0ms	(- (exp x) 1)

simplify1.1s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
1	806
0	353

prune769.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1)
0.2b	(sqrt (+ (exp x) 1))

rewrite26.0ms

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:

13.0ms	(+ (exp x) 1)
12.0ms	(sqrt (+ (exp x) 1))

series72.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (exp x) 1)
57.0ms	(sqrt (+ (exp x) 1))

simplify1.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	635
1	153
0	61

prune116.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample9.4s

Algorithm

intervals

Results

5.9s	6697×	body	10240	exit
1.9s	12419×	body	80	nan
1.0s	7394×	body	80	valid
161.0ms	732×	body	160	valid