Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

338×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
4	21
3	20
2	16
1	11
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/l*` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

17.0ms

(/ (- (* x x) 3.0) 6.0)

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

(/ (- (* x x) 3.0) 6.0)

simplify1.3s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
3	1520
2	445
1	177
0	78

prune139.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(+ (sqrt 3.0) x)
0.7b	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

11.0ms	(- x (sqrt 3.0))
30.0ms	(/ (- x (sqrt 3.0)) 6.0)
13.0ms	(+ (sqrt 3.0) x)
73.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series454.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- x (sqrt 3.0))
109.0ms	(/ (- x (sqrt 3.0)) 6.0)
50.0ms	(+ (sqrt 3.0) x)
236.0ms	(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify3.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
3	4450
2	1195
1	375
0	146

prune515.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(* (- (sqrt 3.0) x) 6.0)
0.1b	(* (- 3.0 (* x x)) (- x (sqrt 3.0)))
3.6b	(/ (* (- 3.0 (* x x)) (- x (sqrt 3.0))) (* (- (sqrt 3.0) x) 6.0))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
15×	`flip3--` `flip--`
14×	`*-un-lft-identity`
10×	`associate-l`
9×	`associate-r`
8×	`frac-times` `pow1` `associate-*l/` `add-cube-cbrt` `associate-/l/`
7×	`difference-of-squares`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-*r/`
3×	`sub-neg` `sqrt-prod` `distribute-lft-out--`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `diff-log` `div-inv` `associate-/l`

Counts

4 → 103

Calls

4 calls:

5.0ms	(- x (sqrt 3.0))
40.0ms	(* (- (sqrt 3.0) x) 6.0)
65.0ms	(* (- 3.0 (* x x)) (- x (sqrt 3.0)))
41.0ms	(/ (* (- 3.0 (* x x)) (- x (sqrt 3.0))) (* (- (sqrt 3.0) x) 6.0))

series522.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- x (sqrt 3.0))
106.0ms	(* (- (sqrt 3.0) x) 6.0)
60.0ms	(* (- 3.0 (* x x)) (- x (sqrt 3.0)))
280.0ms	(/ (* (- 3.0 (* x x)) (- x (sqrt 3.0))) (* (- (sqrt 3.0) x) 6.0))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	2682
1	503
0	165

prune627.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 6.0 (+ (* x x) 3.0))
0.2b	(* (* x x) (* x x))
7.8b	(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
22×	`add-cbrt-cube` `add-exp-log` `pow-sqr`
18×	`pow-plus`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`times-frac` `associate-r` `associate-l` `associate-r/` `associate-/l`
3×	`add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `*-commutative` `flip-+` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `flip3--` `div-sub` `swap-sqr` `div-inv` `flip--`

Counts

3 → 113

Calls

3 calls:

39.0ms	(* 6.0 (+ (* x x) 3.0))
36.0ms	(* (* x x) (* x x))
106.0ms	(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

series376.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* 6.0 (+ (* x x) 3.0))
51.0ms	(* (* x x) (* x x))
228.0ms	(/ (- (* (* x x) (* x x)) (* 3.0 3.0)) (* 6.0 (+ (* x x) 3.0)))

simplify1.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1927
1	448
0	139

prune340.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample535.0ms

Algorithm

intervals

Results

374.0ms

10659×

body

valid