Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	266×	body	80	nan
15.0ms	273×	body	80	valid

simplify149.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

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))
0.6b	(/ 1.0 (* x 9.0))

rewrite285.0ms

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:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
238.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series198.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
86.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
59.0ms	(* 3.0 (sqrt x))
24.0ms	(/ 1.0 (* x 9.0))

simplify50.0ms

Counts: 96 → 96

prune303.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (/ 2001599834386887.0 18014398509481984.0) x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
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-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

34.0ms	(+ y (/ (/ 2001599834386887.0 18014398509481984.0) x))
442.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0))
14.0ms	(* 3.0 (sqrt x))

series195.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ y (/ (/ 2001599834386887.0 18014398509481984.0) x))
100.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0))
54.0ms	(* 3.0 (sqrt x))

simplify52.0ms

Counts: 72 → 72

prune231.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ y (/ (/ 2001599834386887.0 18014398509481984.0) x))

0.2b

(* (sqrt x) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0))

0.4b

(* 3.0 (* (sqrt x) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0)))

rewrite966.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

23.0ms

(+ y (/ (/ 2001599834386887.0 18014398509481984.0) x))

519.0ms

(* (sqrt x) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0))

422.0ms

(* 3.0 (* (sqrt x) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms

(+ y (/ (/ 2001599834386887.0 18014398509481984.0) x))

85.0ms

(* (sqrt x) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0))

69.0ms

(* 3.0 (* (sqrt x) (- (+ y (/ (/ 2001599834386887.0 18014398509481984.0) x)) 1.0)))

simplify47.0ms

Counts: 86 → 86

prune210.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (/ (/ 2001599834386887.0 18014398509481984.0) x) 1.0) (sqrt x))
0.2b	(* y (sqrt x))
0.3b	(* 3.0 (* (- (/ (/ 2001599834386887.0 18014398509481984.0) x) 1.0) (sqrt x)))
0.3b	(* 3.0 (* y (sqrt x)))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`associate-l`
14×	`-un-lft-identity` `associate-r*`
12×	`add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`associate-l/` `-commutative` `add-log-exp` `unswap-sqr`
3×	`times-frac` `difference-of-squares`
2×	`flip3--` `associate-*r/` `flip--`
1×	`distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

197.0ms	(* (- (/ (/ 2001599834386887.0 18014398509481984.0) x) 1.0) (sqrt x))
15.0ms	(* y (sqrt x))
199.0ms	(* 3.0 (* (- (/ (/ 2001599834386887.0 18014398509481984.0) x) 1.0) (sqrt x)))
22.0ms	(* 3.0 (* y (sqrt x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (- (/ (/ 2001599834386887.0 18014398509481984.0) x) 1.0) (sqrt x))
70.0ms	(* y (sqrt x))
95.0ms	(* 3.0 (* (- (/ (/ 2001599834386887.0 18014398509481984.0) x) 1.0) (sqrt x)))
75.0ms	(* 3.0 (* y (sqrt x)))

simplify50.0ms

Counts: 100 → 100

prune283.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify124.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

942.0ms	8563×	body	80	valid
528.0ms	8656×	body	80	nan