Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	272×	body	80	valid
12.0ms	260×	body	80	nan

simplify2.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

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	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
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` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
261.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
32.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series246.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ y (/ 1.0 (* x 9.0)))
102.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
72.0ms	(* 3.0 (sqrt x))
33.0ms	(/ 1.0 (* x 9.0))

simplify923.0ms

Counts: 96 → 96

prune345.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (/ 1 x) (/ 1.0 9.0))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

10.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
80.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
10.0ms	(* 3.0 (sqrt x))
48.0ms	(* (/ 1 x) (/ 1.0 9.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
95.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
59.0ms	(* 3.0 (sqrt x))
29.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify1.3s

Counts: 129 → 129

prune398.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))
0.5b	(/ 1.0 (* x 9.0))

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `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` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

19.0ms	(+ y (/ 1.0 (* x 9.0)))
181.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
192.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms	(/ 1.0 (* x 9.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
78.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
85.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
30.0ms	(/ 1.0 (* x 9.0))

simplify779.0ms

Counts: 110 → 110

prune254.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1) (sqrt x)) (/ (* (/ 1.0 9.0) 1) (sqrt x)))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (/ (sqrt 1) (sqrt x)) (/ (* (/ 1.0 9.0) 1) (sqrt x)))
0.4b	(/ (* (/ 1.0 9.0) 1) (sqrt x))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
64×	`add-sqr-sqrt`
56×	`sqrt-prod`
54×	`times-frac`
52×	`add-cbrt-cube`
44×	`-un-lft-identity` `associate-l*`
40×	`add-cube-cbrt`
28×	`prod-exp`
27×	`div-exp`
21×	`associate-r`
18×	`cbrt-unprod`
16×	`cbrt-undiv`
13×	`pow1`
9×	`unswap-sqr`
6×	`1-exp` `associate-/r*`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `div-inv`
2×	`sub-neg` `associate-*l/` `associate--l+`
1×	`frac-times` `flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 171

Calls

4 calls:

78.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1) (sqrt x)) (/ (* (/ 1.0 9.0) 1) (sqrt x)))) 1.0))
17.0ms	(* 3.0 (sqrt x))
57.0ms	(* (/ (sqrt 1) (sqrt x)) (/ (* (/ 1.0 9.0) 1) (sqrt x)))
28.0ms	(/ (* (/ 1.0 9.0) 1) (sqrt x))

series255.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1) (sqrt x)) (/ (* (/ 1.0 9.0) 1) (sqrt x)))) 1.0))
57.0ms	(* 3.0 (sqrt x))
48.0ms	(* (/ (sqrt 1) (sqrt x)) (/ (* (/ 1.0 9.0) 1) (sqrt x)))
50.0ms	(/ (* (/ 1.0 9.0) 1) (sqrt x))

simplify1.5s

Counts: 183 → 183

prune510.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

1.6% (0.4b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.0s

Algorithm

intervals

Results

874.0ms	8536×	body	80	valid
609.0ms	8497×	body	80	nan