Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	252×	body	80	nan
16.0ms	269×	body	80	valid

simplify1.5s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

198.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(* 3.0 (sqrt x))
13.0ms	(/ 1.0 (* x 9.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
47.0ms	(* 3.0 (sqrt x))
21.0ms	(/ 1.0 (* x 9.0))

simplify639.0ms

Counts: 81 → 81

prune242.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.5b	(* (/ 1 x) (/ 1.0 9.0))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`add-exp-log`
25×	`*-un-lft-identity` `times-frac`
24×	`associate-r`
22×	`add-cbrt-cube`
21×	`add-cube-cbrt`
17×	`associate-l`
12×	`pow1` `prod-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`sub-neg` `rec-exp` `1-exp` `associate--l+` `div-inv`
1×	`frac-times` `flip3--` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 106

Calls

3 calls:

103.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
15.0ms	(* 3.0 (sqrt x))
37.0ms	(* (/ 1 x) (/ 1.0 9.0))

series170.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
53.0ms	(* 3.0 (sqrt x))
30.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify1.2s

Counts: 115 → 115

prune377.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
0.3b	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
0.4b	(/ (/ 1.0 9.0) x)

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

716.0ms	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
722.0ms	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
18.0ms	(/ (/ 1.0 9.0) x)

series135.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
75.0ms	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
27.0ms	(/ (/ 1.0 9.0) x)

simplify858.0ms

Counts: 131 → 131

prune397.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (+ (/ (/ 1.0 9.0) x) y))
0.3b	(* (+ (* 3.0 (+ (/ (/ 1.0 9.0) x) y)) (* 3.0 (- 1.0))) (sqrt x))
0.4b	(/ (/ 1.0 9.0) x)

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
56×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
50×	`add-cube-cbrt`
13×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
7×	`pow1` `associate-l`
5×	`div-inv`
4×	`sqrt-prod`
3×	`cbrt-undiv` `div-exp` `associate-/r*` `add-log-exp` `unswap-sqr`
2×	`flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/`

Counts

3 → 118

Calls

3 calls:

121.0ms	(* 3.0 (+ (/ (/ 1.0 9.0) x) y))
161.0ms	(* (+ (* 3.0 (+ (/ (/ 1.0 9.0) x) y)) (* 3.0 (- 1.0))) (sqrt x))
12.0ms	(/ (/ 1.0 9.0) x)

series154.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* 3.0 (+ (/ (/ 1.0 9.0) x) y))
74.0ms	(* (+ (* 3.0 (+ (/ (/ 1.0 9.0) x) y)) (* 3.0 (- 1.0))) (sqrt x))
23.0ms	(/ (/ 1.0 9.0) x)

simplify937.0ms

Counts: 127 → 127

prune567.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.1s

Algorithm

intervals

Results

945.0ms	8435×	body	80	nan
535.0ms	8542×	body	80	valid