Details

sample403.0ms

Algorithm

intervals

Results

128.0ms	247×	body	10240	exit
26.0ms	476×	body	80	nan
13.0ms	230×	body	80	valid
4.0ms	28×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

21.0ms	(sqrt (+ (exp x) 1))
20.0ms	(+ (exp x) 1)

series79.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(sqrt (+ (exp x) 1))
32.0ms	(+ (exp x) 1)

simplify2.8s

Counts

36 → 36

Iterations

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

prune189.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (exp (* 3 x)) 1) (- 1 (- (exp x) (* (exp x) (exp x)))))
0.0b	(+ (exp (* 3 x)) 1)
0.0b	(* (exp x) (exp x))
5.9b	(- (exp x) (* (exp x) (exp x)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

84.0ms	(/ (+ (exp (* 3 x)) 1) (- 1 (- (exp x) (* (exp x) (exp x)))))
10.0ms	(+ (exp (* 3 x)) 1)
23.0ms	(* (exp x) (exp x))
21.0ms	(- (exp x) (* (exp x) (exp x)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (+ (exp (* 3 x)) 1) (- 1 (- (exp x) (* (exp x) (exp x)))))
18.0ms	(+ (exp (* 3 x)) 1)
24.0ms	(* (exp x) (exp x))
52.0ms	(- (exp x) (* (exp x) (exp x)))

simplify3.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5003
3	4441
2	1206
1	444
0	182

prune458.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
0.1b	(* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x))))
5.9b	(- (exp x) (* (* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x)))) (cbrt (* (exp x) (exp x)))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `exp-prod`
28×	`*-un-lft-identity` `add-cube-cbrt`
25×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l` `pow-prod-down` `pow-sqr` `pow-prod-up`
8×	`cbrt-prod` `add-cbrt-cube`
6×	`pow1/3` `add-exp-log` `add-log-exp` `unswap-sqr`
4×	`insert-posit16`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 118

Calls

4 calls:

34.0ms	(* (exp x) (exp x))
35.0ms	(* (exp x) (exp x))
44.0ms	(* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x))))
10.0ms	(- (exp x) (* (* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x)))) (cbrt (* (exp x) (exp x)))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (exp x) (exp x))
21.0ms	(* (exp x) (exp x))
155.0ms	(* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x))))
48.0ms	(- (exp x) (* (* (cbrt (* (exp x) (exp x))) (cbrt (* (exp x) (exp x)))) (cbrt (* (exp x) (exp x)))))

simplify2.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5002
3	2515
2	759
1	299
0	117

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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

sample7.4s

Algorithm

intervals

Results

5.2s	6791×	body	10240	exit
1.0s	12669×	body	80	nan
624.0ms	7438×	body	80	valid
105.0ms	684×	body	160	valid