Details

sample635.0ms

Algorithm

intervals

Results

194.0ms	186×	body	10240	exit
35.0ms	365×	body	80	nan
22.0ms	229×	body	80	valid
6.0ms	29×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
7	4723
6	971
5	282
4	101
3	49
2	30
1	22
0	10

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

14.0ms	(+ (exp x) 1)
18.0ms	(sqrt (+ (exp x) 1))

series93.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (exp x) 1)
78.0ms	(sqrt (+ (exp x) 1))

simplify2.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5011
4	3392
3	1144
2	413
1	142
0	61

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (- 1 (exp x))))
0.2b	(sqrt (/ (+ 1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (- 1 (exp x)))))
0.3b	(+ (* (exp x) (exp x)) (- 1 (exp x)))
6.0b	(- 1 (exp x))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`sqrt-prod`
11×	`add-log-exp`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`flip3-+` `associate-/r/` `flip-+` `insert-posit16` `associate-/l*`
3×	`associate-/r*`
2×	`rem-sqrt-square` `associate-+r+` `sum-log` `sub-neg` `diff-log` `div-inv` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-exp` `flip--` `distribute-lft-out--`

Counts

4 → 99

Calls

4 calls:

97.0ms	(/ (+ 1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (- 1 (exp x))))
65.0ms	(sqrt (/ (+ 1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (- 1 (exp x)))))
22.0ms	(+ (* (exp x) (exp x)) (- 1 (exp x)))
8.0ms	(- 1 (exp x))

series223.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (+ 1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (- 1 (exp x))))
104.0ms	(sqrt (/ (+ 1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (- 1 (exp x)))))
32.0ms	(+ (* (exp x) (exp x)) (- 1 (exp x)))
16.0ms	(- 1 (exp x))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1312
1	416
0	175

prune581.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (* (/ (sqrt (+ 1 (exp (* 3 x)))) 1) (/ (sqrt (+ 1 (exp (* 3 x)))) (+ (* (exp x) (exp x)) (- 1 (exp x))))))
0.3b	(+ (* (exp x) (exp x)) (- 1 (exp x)))
0.3b	(/ (sqrt (+ 1 (exp (* 3 x)))) (+ (* (exp x) (exp x)) (- 1 (exp x))))
6.0b	(- 1 (exp x))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
11×	`add-log-exp`
7×	`pow1` `associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sqrt-div`
4×	`insert-posit16` `distribute-lft-out`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`associate-+r+` `sum-log` `sub-neg` `sqrt-pow1` `diff-log` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`frac-times` `cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3--` `pow1/2` `div-exp` `pow-prod-down` `associate-l/` `associate-r/` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

68.0ms	(sqrt (* (/ (sqrt (+ 1 (exp (* 3 x)))) 1) (/ (sqrt (+ 1 (exp (* 3 x)))) (+ (* (exp x) (exp x)) (- 1 (exp x))))))
47.0ms	(+ (* (exp x) (exp x)) (- 1 (exp x)))
108.0ms	(/ (sqrt (+ 1 (exp (* 3 x)))) (+ (* (exp x) (exp x)) (- 1 (exp x))))
12.0ms	(- 1 (exp x))

series321.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (* (/ (sqrt (+ 1 (exp (* 3 x)))) 1) (/ (sqrt (+ 1 (exp (* 3 x)))) (+ (* (exp x) (exp x)) (- 1 (exp x))))))
29.0ms	(+ (* (exp x) (exp x)) (- 1 (exp x)))
148.0ms	(/ (sqrt (+ 1 (exp (* 3 x)))) (+ (* (exp x) (exp x)) (- 1 (exp x))))
17.0ms	(- 1 (exp x))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1438
1	463
0	193

prune631.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.5s	6419×	body	10240	exit
1.1s	12442×	body	80	nan
627.0ms	7410×	body	80	valid
152.0ms	718×	body	160	valid