Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	269×	body	80	valid
16.0ms	297×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

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:

16.0ms	(+ y (/ 1.0 (* x 9.0)))
161.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (sqrt x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 1.0 (* x 9.0)))
108.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
36.0ms	(/ 1.0 (* x 9.0))
67.0ms	(* 3.0 (sqrt x))

simplify2.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	3908
1	658
0	230

prune669.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`

Counts

4 → 91

Calls

4 calls:

18.0ms	(* (* 3.0 (sqrt x)) y)
6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* 3.0 (sqrt x))
8.0ms	(* 3.0 (sqrt x))

series205.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* 3.0 (sqrt x)) y)
32.0ms	(/ 1.0 (* x 9.0))
58.0ms	(* 3.0 (sqrt x))
51.0ms	(* 3.0 (sqrt x))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1924
1	383
0	155

prune616.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 1.0 x) 9.0) 1.0)
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))))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite800.0ms

Algorithm

rewrite-expression-head

Rules

342×	`times-frac`
246×	`add-sqr-sqrt`
240×	`*-un-lft-identity`
233×	`add-cube-cbrt`
129×	`prod-diff`
43×	`fma-neg`
21×	`div-inv`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
11×	`pow1`
9×	`associate-l`
6×	`associate-r` `associate-*r/` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `div-exp` `difference-of-squares`
2×	`flip3-+` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l/`

Counts

4 → 318

Calls

4 calls:

66.0ms	(- (/ (/ 1.0 x) 9.0) 1.0)
363.0ms	(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
318.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
16.0ms	(/ (/ 1.0 x) 9.0)

series258.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (/ (/ 1.0 x) 9.0) 1.0)
78.0ms	(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
89.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
32.0ms	(/ (/ 1.0 x) 9.0)

simplify2.3s

Counts

330 → 330

Iterations

Iter	Nodes
done	5000
2	4480
1	1070
0	417

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

359×	`times-frac`
269×	`add-sqr-sqrt`
189×	`*-un-lft-identity`
179×	`add-cube-cbrt`
122×	`sqrt-prod`
83×	`associate-r`
57×	`add-exp-log`
37×	`add-cbrt-cube`
25×	`associate-l` `unswap-sqr`
23×	`div-exp`
17×	`div-inv`
16×	`associate-/l*`
15×	`prod-exp`
13×	`pow1` `cbrt-undiv`
12×	`associate-/r*`
9×	`cbrt-unprod`
5×	`associate-*r/`
4×	`distribute-rgt-in` `expm1-log1p-u` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*l/` `flip-+` `inv-pow` `associate-/l/`

Counts

4 → 348

Calls

4 calls:

6.0ms	(/ 1 (sqrt x))
1.2s	(* 3.0 (* (sqrt x) (+ y (+ (- (* (/ 1 (sqrt x)) (/ (/ 1.0 9.0) (sqrt x))) 1.0) (+ 1.0 (- 1.0))))))
116.0ms	(* (/ 1 (sqrt x)) (/ (/ 1.0 9.0) (sqrt x)))
19.0ms	(/ (/ 1.0 9.0) (sqrt x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (sqrt x))
120.0ms	(* 3.0 (* (sqrt x) (+ y (+ (- (* (/ 1 (sqrt x)) (/ (/ 1.0 9.0) (sqrt x))) 1.0) (+ 1.0 (- 1.0))))))
40.0ms	(* (/ 1 (sqrt x)) (/ (/ 1.0 9.0) (sqrt x)))
43.0ms	(/ (/ 1.0 9.0) (sqrt x))

simplify1.3s

Counts

360 → 360

Iterations

Iter	Nodes
done	5000
1	1478
0	460

prune2.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

925.0ms	8442×	body	80	nan
601.0ms	8523×	body	80	valid