Details

sample361.0ms

Algorithm

intervals

Results

125.0ms	196×	body	10240	exit
93.0ms	388×	body	80	nan
28.0ms	244×	body	80	valid
4.0ms	16×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
7	2807
6	746
5	264
4	99
3	47
2	28
1	20
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

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:

12.0ms	(sqrt (+ 1 (exp x)))
12.0ms	(+ 1 (exp x))

series80.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(sqrt (+ 1 (exp x)))
26.0ms	(+ 1 (exp x))

simplify1.1s

Counts

36 → 36

Iterations

Iter	Nodes
4	2307
3	778
2	317
1	140
0	63

prune313.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
0.0b	(* (+ 1 (exp x)) (+ 1 (exp x)))
0.3b	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

35×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`cbrt-div` `*-un-lft-identity`
16×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt` `associate-*r/`
8×	`add-cube-cbrt` `distribute-lft-out` `add-log-exp`
6×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
4×	`associate-r` `associate-l` `insert-posit16`
2×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

5.0ms	(+ 1 (exp x))
5.0ms	(+ 1 (exp x))
43.0ms	(* (+ 1 (exp x)) (+ 1 (exp x)))
39.0ms	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1 (exp x))
9.0ms	(+ 1 (exp x))
28.0ms	(* (+ 1 (exp x)) (+ 1 (exp x)))
11.0ms	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

simplify4.4s

Counts

116 → 116

Iterations

Iter	Nodes
3	4311
2	1663
1	508
0	156

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (* (+ (exp (* 3 x)) 1) (+ (exp (* 3 x)) 1)) (+ (exp x) 1)))
0.5b	(cbrt (* (+ 1 (- (* (exp x) (exp x)) (exp x))) (+ 1 (- (* (exp x) (exp x)) (exp x)))))
3.8b	(- (* (exp x) (exp x)) (exp x))
3.8b	(- (* (exp x) (exp x)) (exp x))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-div`
33×	`flip3-+` `flip-+`
32×	`frac-times`
16×	`associate-*l/`
10×	`associate-*r/`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`cbrt-prod` `sub-neg` `flip3--` `distribute-rgt-out--` `pow1/3` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

92.0ms	(cbrt (* (* (+ (exp (* 3 x)) 1) (+ (exp (* 3 x)) 1)) (+ (exp x) 1)))
78.0ms	(cbrt (* (+ 1 (- (* (exp x) (exp x)) (exp x))) (+ 1 (- (* (exp x) (exp x)) (exp x)))))
15.0ms	(- (* (exp x) (exp x)) (exp x))
15.0ms	(- (* (exp x) (exp x)) (exp x))

series490.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (* (* (+ (exp (* 3 x)) 1) (+ (exp (* 3 x)) 1)) (+ (exp x) 1)))
191.0ms	(cbrt (* (+ 1 (- (* (exp x) (exp x)) (exp x))) (+ 1 (- (* (exp x) (exp x)) (exp x)))))
46.0ms	(- (* (exp x) (exp x)) (exp x))
43.0ms	(- (* (exp x) (exp x)) (exp x))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
2	2425
1	728
0	240

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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
2	6
1	6
0	5

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.9s	6647×	body	10240	exit
1.5s	12721×	body	80	nan
1.3s	7402×	body	80	valid
564.0ms	740×	body	160	valid