Details

sample426.0ms

Algorithm

intervals

Results

175.0ms	188×	body	10240	exit
65.0ms	32×	body	160	valid
57.0ms	367×	body	80	nan
22.0ms	228×	body	80	valid

simplify948.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	2852
6	740
5	325
4	155
3	85
2	59
1	42
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

7.0ms	(sqrt (+ (exp x) 1))
8.0ms	(+ (exp x) 1)

series50.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(sqrt (+ (exp x) 1))
18.0ms	(+ (exp x) 1)

simplify735.0ms

Counts

36 → 36

Iterations

Iter	Nodes
4	2300
3	896
2	445
1	241
0	61

prune314.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) 1))
0.3b	(sqrt (+ 1 (* (exp x) (- (exp x) 1))))
0.3b	(/ (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)) (sqrt (+ 1 (* (exp x) (- (exp x) 1)))))
6.5b	(- (exp x) 1)

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`sqrt-prod`
41×	`*-un-lft-identity`
36×	`times-frac`
35×	`add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`pow1` `associate-r` `add-exp-log`
6×	`associate-/r` `sqrt-div` `associate-/l` `add-log-exp`
4×	`insert-posit16` `difference-of-squares`
3×	`sub-neg` `flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `difference-of-sqr-1` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

27.0ms	(* (exp x) (- (exp x) 1))
4.0ms	(sqrt (+ 1 (* (exp x) (- (exp x) 1))))
121.0ms	(/ (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)) (sqrt (+ 1 (* (exp x) (- (exp x) 1)))))
15.0ms	(- (exp x) 1)

series279.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (exp x) (- (exp x) 1))
81.0ms	(sqrt (+ 1 (* (exp x) (- (exp x) 1))))
134.0ms	(/ (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)) (sqrt (+ 1 (* (exp x) (- (exp x) 1)))))
15.0ms	(- (exp x) 1)

simplify1.3s

Counts

140 → 140

Iterations

Iter	Nodes
3	3081
2	1563
1	783
0	209

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)))
6.5b	(- (exp x) 1)
6.5b	(- (exp x) 1)
6.5b	(- (exp x) 1)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`cbrt-prod` `add-cube-cbrt` `difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-div` `sqrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 68

Calls

4 calls:

60.0ms	(cbrt (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)))
13.0ms	(- (exp x) 1)
8.0ms	(- (exp x) 1)
8.0ms	(- (exp x) 1)

series209.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)))
14.0ms	(- (exp x) 1)
18.0ms	(- (exp x) 1)
28.0ms	(- (exp x) 1)

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
4	3214
3	1315
2	616
1	350
0	92

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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
2	8
1	8
0	5

end0.0ms

sample9.3s

Algorithm

intervals

Results

6.0s	6650×	body	10240	exit
1.5s	12623×	body	80	nan
1.3s	7365×	body	80	valid
172.0ms	756×	body	160	valid