Details

sample1.0s

Algorithm

intervals

Results

806.0ms	216×	body	10240	exit
45.0ms	440×	body	80	nan
23.0ms	236×	body	80	valid
6.0ms	27×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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))
20.0ms	(+ (exp x) 1)

series68.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(sqrt (+ (exp x) 1))
19.0ms	(+ (exp x) 1)

simplify2.3s

Counts

36 → 36

Iterations

Iter	Nodes
done	5187
4	3393
3	1054
2	413
1	142
0	61

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* 3 x)) 1)
0.1b	(* (exp x) (exp x))
0.3b	(/ (+ (exp (* 3 x)) 1) (- 1 (- (exp x) (* (exp x) (exp x)))))
6.1b	(- (exp x) (* (exp x) (exp x)))

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

44.0ms	(+ (exp (* 3 x)) 1)
17.0ms	(* (exp x) (exp x))
388.0ms	(/ (+ (exp (* 3 x)) 1) (- 1 (- (exp x) (* (exp x) (exp x)))))
37.0ms	(- (exp x) (* (exp x) (exp x)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* 3 x)) 1)
27.0ms	(* (exp x) (exp x))
92.0ms	(/ (+ (exp (* 3 x)) 1) (- 1 (- (exp x) (* (exp x) (exp x)))))
46.0ms	(- (exp x) (* (exp x) (exp x)))

simplify3.0s

Counts

151 → 151

Iterations

Iter	Nodes
done	5007
3	4947
2	1389
1	473
0	195

prune631.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (exp x) (exp x))
0.1b	(* E (exp (exp (* x 3))))
0.3b	(log (* E (exp (exp (* x 3)))))
6.1b	(- (exp x) (* (exp x) (exp x)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`exp-prod`
17×	`add-exp-log`
16×	`pow1`
12×	`log-prod` `associate-r` `associate-l` `prod-exp`
8×	`add-cbrt-cube`
6×	`pow-prod-down` `add-log-exp`
5×	`distribute-rgt-out--` `rem-log-exp` `*-commutative` `difference-of-squares`
4×	`e-exp-1` `swap-sqr` `pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--` `unswap-sqr`
2×	`log-pow` `cbrt-unprod`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `flip--`

Counts

4 → 114

Calls

4 calls:

17.0ms	(* (exp x) (exp x))
53.0ms	(* E (exp (exp (* x 3))))
68.0ms	(log (* E (exp (exp (* x 3)))))
25.0ms	(- (exp x) (* (exp x) (exp x)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (exp x) (exp x))
64.0ms	(* E (exp (exp (* x 3))))
154.0ms	(log (* E (exp (exp (* x 3)))))
40.0ms	(- (exp x) (* (exp x) (exp x)))

simplify3.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5348
3	4344
2	1142
1	397
0	170

prune633.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.7s	6552×	body	10240	exit
2.3s	12863×	body	80	nan
969.0ms	7400×	body	80	valid
166.0ms	738×	body	160	valid