Details

sample53.0ms

Algorithm

intervals

Results

15.0ms	326×	body	80	nan
13.0ms	277×	body	80	valid

simplify146.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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))

rewrite244.0ms

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:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
210.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* 3.0 (sqrt x))

series197.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ y (/ 1.0 (* x 9.0)))
87.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
23.0ms	(/ 1.0 (* x 9.0))
51.0ms	(* 3.0 (sqrt x))

simplify52.0ms

Counts: 96 → 96

prune283.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

103.0ms	(* (* 3.0 (sqrt x)) (- (/ 1.0 (* x 9.0)) 1.0))
11.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (sqrt x))
14.0ms	(* 3.0 (sqrt x))

series224.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (* 3.0 (sqrt x)) (- (/ 1.0 (* x 9.0)) 1.0))
26.0ms	(/ 1.0 (* x 9.0))
47.0ms	(* 3.0 (sqrt x))
45.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Counts: 103 → 103

prune362.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite568.0ms

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:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
287.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(/ 1.0 (* x 9.0))
247.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ y (/ 1.0 (* x 9.0)))
84.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms	(/ 1.0 (* x 9.0))
93.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify58.0ms

Counts: 110 → 110

prune333.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`associate-r` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`sqrt-prod` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* y (sqrt x))
10.0ms	(/ 1.0 (* x 9.0))
122.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
25.0ms	(* 3.0 (* y (sqrt x)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* y (sqrt x))
25.0ms	(/ 1.0 (* x 9.0))
88.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
79.0ms	(* 3.0 (* y (sqrt x)))

simplify47.0ms

Counts: 93 → 93

prune256.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

-0.5% (0.3b remaining)

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

bsearch0.0ms

simplify110.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

781.0ms	8512×	body	80	valid
610.0ms	8604×	body	80	nan