Details

sample468.0ms

Algorithm

intervals

Results

182.0ms	217×	body	10240	exit
76.0ms	241×	body	80	valid
45.0ms	365×	body	80	nan
5.0ms	19×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
7	2942
6	752
5	266
4	101
3	49
2	30
1	22
0	10

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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))
10.0ms	(+ (exp x) 1)

series65.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(sqrt (+ (exp x) 1))
30.0ms	(+ (exp x) 1)

simplify843.0ms

Counts

36 → 36

Iterations

Iter	Nodes
4	2369
3	780
2	313
1	137
0	61

prune315.0ms

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	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.0b	(* (exp x) (exp x))
0.3b	(/ (+ (exp (+ x (+ x x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
4.5b	(- 1 (exp x))

rewrite857.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

42.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
24.0ms	(* (exp x) (exp x))
776.0ms	(/ (+ (exp (+ x (+ x x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
12.0ms	(- 1 (exp x))

series197.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
23.0ms	(* (exp x) (exp x))
99.0ms	(/ (+ (exp (+ x (+ x x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
25.0ms	(- 1 (exp x))

simplify1.7s

Counts

115 → 115

Iterations

Iter	Nodes
3	3939
2	1106
1	422
0	168

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp x)) (exp x))
0.0b	(+ (- 1 (exp x)) (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x))))
0.3b	(/ (+ (exp (+ x (+ x x))) 1) (+ (- 1 (exp x)) (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x)))))
4.5b	(- 1 (exp x))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

15.0ms	(* (sqrt (exp x)) (exp x))
38.0ms	(+ (- 1 (exp x)) (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x))))
348.0ms	(/ (+ (exp (+ x (+ x x))) 1) (+ (- 1 (exp x)) (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x)))))
12.0ms	(- 1 (exp x))

series193.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sqrt (exp x)) (exp x))
46.0ms	(+ (- 1 (exp x)) (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x))))
73.0ms	(/ (+ (exp (+ x (+ x x))) 1) (+ (- 1 (exp x)) (* (sqrt (exp x)) (* (sqrt (exp x)) (exp x)))))
16.0ms	(- 1 (exp x))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
3	4610
2	1212
1	422
0	177

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 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
2	8
1	8
0	5

end0.0ms

sample9.5s

Algorithm

intervals

Results

6.0s	6708×	body	10240	exit
1.9s	12481×	body	80	nan
999.0ms	7425×	body	80	valid
191.0ms	699×	body	160	valid