Details

sample86.0ms

Algorithm

intervals

Results

34.0ms	278×	body	80	valid
22.0ms	266×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1492
5	656
4	371
3	180
2	64
1	24
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(+ y (/ 1.0 (* x 9.0)))
157.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* 3.0 (sqrt x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 1.0 (* x 9.0)))
130.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
46.0ms	(/ 1.0 (* x 9.0))
52.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	2605
1	483
0	178

prune645.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b	(/ 1.0 (* x 9.0))

rewrite462.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
194.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
237.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
6.0ms	(/ 1.0 (* x 9.0))

series286.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ y (/ 1.0 (* x 9.0)))
92.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
112.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
30.0ms	(/ 1.0 (* x 9.0))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2104
1	459
0	177

prune700.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
0.2b	(* (sqrt x) y)
0.3b	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))))
0.3b	(/ 1.0 (* x 9.0))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

107.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
8.0ms	(* (sqrt x) y)
24.0ms	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))))
11.0ms	(/ 1.0 (* x 9.0))

series391.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
76.0ms	(* (sqrt x) y)
149.0ms	(* 3.0 (+ (* (sqrt x) y) (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))))
24.0ms	(/ 1.0 (* x 9.0))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	2649
1	538
0	200

prune743.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

17.0ms	(+ y (/ 0.1111111111111111 x))
174.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
8.0ms	(* 3.0 (sqrt x))

series277.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ y (/ 0.1111111111111111 x))
128.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
82.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	2157
1	394
0	140

prune361.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

683.0ms	8443×	body	80	nan
600.0ms	8550×	body	80	valid