Details

sample752.0ms

Algorithm

intervals

Results

428.0ms	215×	body	10240	exit
116.0ms	413×	body	80	nan
62.0ms	246×	body	80	valid
5.0ms	16×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1105
5	351
4	116
3	52
2	29
1	22
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

5.0ms	(+ 1 (exp x))
7.0ms	(sqrt (+ 1 (exp x)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1 (exp x))
54.0ms	(sqrt (+ 1 (exp x)))

simplify2.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5262
4	3798
3	1154
2	442
1	145
0	63

prune141.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(exp (log (+ 1 (exp x))))
0.2b	(sqrt (exp (log (+ 1 (exp x)))))
0.5b	(log (+ 1 (exp x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
13×	`log-prod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`exp-sum`
8×	`pow1` `exp-prod`
7×	`sqrt-prod`
6×	`log-div` `add-log-exp`
5×	`sqrt-pow1` `add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `exp-diff` `flip-+` `insert-posit16` `distribute-lft-out`
3×	`log-pow`
2×	`rem-sqrt-square` `sqrt-div`
1×	`+-commutative` `sum-log` `pow1/2` `rem-log-exp` `rem-exp-log`

Counts

4 → 73

Calls

4 calls:

5.0ms	(+ 1 (exp x))
5.0ms	(exp (log (+ 1 (exp x))))
10.0ms	(sqrt (exp (log (+ 1 (exp x)))))
8.0ms	(log (+ 1 (exp x)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1 (exp x))
9.0ms	(exp (log (+ 1 (exp x))))
50.0ms	(sqrt (exp (log (+ 1 (exp x)))))
89.0ms	(log (+ 1 (exp x)))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1521
2	507
1	208
0	110

prune349.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (exp (log (+ 1 (exp x)))))
0.5b	(log (+ 1 (exp x)))
0.5b	(log (+ 1 (exp x)))
0.5b	(log (+ 1 (exp x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(cbrt (exp (log (+ 1 (exp x)))))
8.0ms	(log (+ 1 (exp x)))
4.0ms	(log (+ 1 (exp x)))
4.0ms	(log (+ 1 (exp x)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (exp (log (+ 1 (exp x)))))
70.0ms	(log (+ 1 (exp x)))
64.0ms	(log (+ 1 (exp x)))
53.0ms	(log (+ 1 (exp x)))

simplify2.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
4	2125
3	749
2	311
1	151
0	86

prune519.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b	(log (+ 1 (exp (* 3 x))))
0.5b	(log (+ 1 (exp x)))
0.5b	(log (+ 1 (exp x)))
4.3b	(log (- (+ (* (exp x) (exp x)) 1) (exp x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

17×	`log-prod`
16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

5.0ms	(log (+ 1 (exp (* 3 x))))
5.0ms	(log (+ 1 (exp x)))
4.0ms	(log (+ 1 (exp x)))
50.0ms	(log (- (+ (* (exp x) (exp x)) 1) (exp x)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (+ 1 (exp (* 3 x))))
74.0ms	(log (+ 1 (exp x)))
62.0ms	(log (+ 1 (exp x)))
144.0ms	(log (- (+ (* (exp x) (exp x)) 1) (exp x)))

simplify2.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
4	4067
3	1418
2	676
1	260
0	129

prune754.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

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
done	10
1	10
0	7

end0.0ms

sample10.3s

Algorithm

intervals

Results

6.4s	6699×	body	10240	exit
2.0s	12626×	body	80	nan
1.3s	7421×	body	80	valid
206.0ms	709×	body	160	valid