Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	285×	body	80	nan
11.0ms	267×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1794
5	791
4	440
3	188
2	64
1	24
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-r/` `-commutative` `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 → 119

Calls

4 calls:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(/ 1.0 (* x 9.0))
168.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
20.0ms	(* 3.0 (sqrt x))

series182.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ y (/ 1.0 (* x 9.0)))
21.0ms	(/ 1.0 (* x 9.0))
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
55.0ms	(* 3.0 (sqrt x))

simplify2.0s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	3951
1	655
0	230

prune609.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

rewrite479.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
75×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
59×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate--l+` `associate-*r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
251.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
11.0ms	(/ 1.0 (* x 9.0))
191.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series275.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ y (/ 1.0 (* x 9.0)))
117.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
26.0ms	(/ 1.0 (* x 9.0))
83.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.7s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
2	3657
1	736
0	277

prune560.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`-un-lft-identity` `associate-r*`
15×	`add-cbrt-cube` `add-exp-log`
14×	`add-cube-cbrt`
11×	`associate-l`
10×	`pow1`
8×	`sqrt-prod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow-prod-down` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `flip3-+` `distribute-rgt-out` `flip3--` `flip-+` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

24.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))))
68.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* y (sqrt x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))))
76.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
21.0ms	(/ 1.0 (* x 9.0))
46.0ms	(* y (sqrt x))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2652
1	566
0	212

prune607.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
73×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l` `associate-/l*`
10×	`pow1`
8×	`sqrt-prod`
5×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `difference-of-squares`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `distribute-rgt-out` `flip3--` `flip-+` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 151

Calls

4 calls:

23.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))))
124.0ms	(* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))
12.0ms	(* y (sqrt x))
9.0ms	(/ (/ 1.0 x) 9.0)

series286.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))))
89.0ms	(* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))
63.0ms	(* y (sqrt x))
20.0ms	(/ (/ 1.0 x) 9.0)

simplify1.8s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3891
1	834
0	315

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes277.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

897.0ms	8676×	body	80	nan
661.0ms	8545×	body	80	valid