Details

sample48.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	291×	body	80	nan

simplify77.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
6	119
5	111
4	85
3	62
2	39
1	21
0	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
0.0b	(+ (+ x 1.0) (* (sqrt x) 4.0))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`associate-/r` `sum-log` `flip3-+` `associate-l*` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

104.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
27.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
42.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
55.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
125.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

simplify768.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	2077
1	460
0	161

prune415.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 6.0 (/ (- x 1.0) (* 1 (+ (+ x 1.0) (* (sqrt x) 4.0)))))
0.0b	(+ (+ x 1.0) (* (sqrt x) 4.0))
0.1b	(/ (- x 1.0) (* 1 (+ (+ x 1.0) (* (sqrt x) 4.0))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`associate-r`
10×	`times-frac`
8×	`prod-exp` `add-cube-cbrt` `add-log-exp`
6×	`div-exp`
5×	`pow1` `associate-r/` `cbrt-unprod` `associate-/l`
4×	`cbrt-undiv` `associate-/r/`
3×	`sum-log` `flip3-+` `associate-l` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`1-exp` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+l+` `clear-num` `associate-/r` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `-commutative` `flip--` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

74.0ms	(* 6.0 (/ (- x 1.0) (* 1 (+ (+ x 1.0) (* (sqrt x) 4.0)))))
29.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
28.0ms	(/ (- x 1.0) (* 1 (+ (+ x 1.0) (* (sqrt x) 4.0))))

series225.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* 6.0 (/ (- x 1.0) (* 1 (+ (+ x 1.0) (* (sqrt x) 4.0)))))
39.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
76.0ms	(/ (- x 1.0) (* 1 (+ (+ x 1.0) (* (sqrt x) 4.0))))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
2	2971
1	482
0	156

prune343.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* 4.0 (sqrt x))) 1.0)
0.0b	(+ x (* 4.0 (sqrt x)))
0.0b	(* 6.0 (/ (- (- x 1.0)) (- (+ (+ x (* 4.0 (sqrt x))) 1.0))))
0.1b	(/ (- (- x 1.0)) (- (+ (+ x (* 4.0 (sqrt x))) 1.0)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

386×	`*-un-lft-identity`
337×	`times-frac`
274×	`add-sqr-sqrt`
241×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
174×	`associate-r`
168×	`add-cube-cbrt`
59×	`distribute-lft-out`
54×	`neg-mul-1`
50×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `distribute-neg-frac`
4×	`sum-log` `flip3-+` `associate-/r/` `flip-+`
3×	`associate-l`
2×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `distribute-frac-neg` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`neg-sub0` `associate-+l+` `clear-num` `frac-2neg` `distribute-rgt-out` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `distribute-rgt-neg-out` `flip--`

Counts

4 → 432

Calls

4 calls:

17.0ms	(+ (+ x (* 4.0 (sqrt x))) 1.0)
4.0ms	(+ x (* 4.0 (sqrt x)))
243.0ms	(* 6.0 (/ (- (- x 1.0)) (- (+ (+ x (* 4.0 (sqrt x))) 1.0))))
67.0ms	(/ (- (- x 1.0)) (- (+ (+ x (* 4.0 (sqrt x))) 1.0)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (+ x (* 4.0 (sqrt x))) 1.0)
38.0ms	(+ x (* 4.0 (sqrt x)))
85.0ms	(* 6.0 (/ (- (- x 1.0)) (- (+ (+ x (* 4.0 (sqrt x))) 1.0))))
82.0ms	(/ (- (- x 1.0)) (- (+ (+ x (* 4.0 (sqrt x))) 1.0)))

simplify572.0ms

Counts

444 → 444

Iterations

Iter	Nodes
done	5000
1	1318
0	449

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
0.0b	(+ (+ x 1.0) (* (sqrt x) 4.0))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))
1.3b	(pow (exp (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))) 6.0)

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
42×	`exp-prod`
34×	`add-cube-cbrt`
22×	`pow-pow`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
5×	`pow1` `associate-/l*`
4×	`flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*` `sum-log` `unpow-prod-down` `div-inv`
2×	`div-sub` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `frac-2neg` `flip3--` `exp-diff` `div-exp` `pow-exp` `flip--` `sqr-pow` `rem-exp-log`

Counts

4 → 121

Calls

4 calls:

101.0ms	(exp (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
35.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
50.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))
127.0ms	(pow (exp (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))) 6.0)

series771.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(exp (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
52.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
100.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))
501.0ms	(pow (exp (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))) 6.0)

simplify944.0ms

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2326
1	584
0	218

prune688.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	40
3	40
2	31
1	22
0	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

517.0ms	8000×	body	80	valid
412.0ms	8152×	body	80	nan