Details

sample494.0ms

Algorithm

intervals

Results

264.0ms	247×	body	10240	exit
54.0ms	475×	body	80	nan
30.0ms	238×	body	80	valid
6.0ms	23×	body	160	valid

simplify870.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
6	971
5	282
4	101
3	49
2	30
1	22
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ (exp x) 1))
0.0b	(+ (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	(sqrt (+ (exp x) 1))
11.0ms	(+ (exp x) 1)

series61.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(sqrt (+ (exp x) 1))
16.0ms	(+ (exp x) 1)

simplify645.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	2000
3	1054
2	413
1	142
0	61

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (+ x x) x))
0.0b	(/ (+ (exp (+ (+ x x) x)) 1) (+ 1 (- (* (exp x) (exp x)) (exp x))))
0.0b	(* (exp x) (exp x))
5.2b	(- (* (exp x) (exp x)) (exp x))

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`exp-prod`
28×	`add-cube-cbrt`
18×	`distribute-lft-out`
16×	`times-frac`
12×	`add-log-exp`
11×	`pow1`
8×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`distribute-lft1-in`
4×	`associate-/r` `distribute-rgt-out` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l`
3×	`sum-log` `swap-sqr` `associate-r` `associate-l` `rem-exp-log`
2×	`flip3-+` `count-2` `distribute-rgt1-in` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `distribute-rgt-out--` `diff-log` `div-exp` `exp-sum` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

57.0ms	(exp (+ (+ x x) x))
430.0ms	(/ (+ (exp (+ (+ x x) x)) 1) (+ 1 (- (* (exp x) (exp x)) (exp x))))
19.0ms	(* (exp x) (exp x))
14.0ms	(- (* (exp x) (exp x)) (exp x))

series141.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(exp (+ (+ x x) x))
76.0ms	(/ (+ (exp (+ (+ x x) x)) 1) (+ 1 (- (* (exp x) (exp x)) (exp x))))
17.0ms	(* (exp x) (exp x))
31.0ms	(- (* (exp x) (exp x)) (exp x))

simplify1.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	2038
2	1307
1	439
0	174

prune543.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) (exp x)))
5.2b	(- (* (exp x) (exp x)) (exp x))
5.2b	(- (* (exp x) (exp x)) (exp x))
5.2b	(- (* (exp x) (exp x)) (exp x))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`pow1`
10×	`add-log-exp`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt`
7×	`distribute-rgt-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sub-neg` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

157.0ms	(* (- (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) (exp x)))
24.0ms	(- (* (exp x) (exp x)) (exp x))
14.0ms	(- (* (exp x) (exp x)) (exp x))
22.0ms	(- (* (exp x) (exp x)) (exp x))

series204.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- (* (exp x) (exp x)) (exp x)) (- (* (exp x) (exp x)) (exp x)))
42.0ms	(- (* (exp x) (exp x)) (exp x))
43.0ms	(- (* (exp x) (exp x)) (exp x))
41.0ms	(- (* (exp x) (exp x)) (exp x))

simplify828.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2003
2	1154
1	271
0	93

prune459.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample10.0s

Algorithm

intervals

Results

6.6s	6847×	body	10240	exit
1.9s	13072×	body	80	nan
943.0ms	7411×	body	80	valid
217.0ms	715×	body	160	valid