Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	277×	body	80	valid
8.0ms	238×	body	80	nan

simplify10.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	151	14
4	292	14
5	495	14
6	828	14
7	1115	14
8	1567	14
9	2706	14
10	4042	14
11	4434	14
12	4440	14
done	4440	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

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))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
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` `associate-r/` `div-exp` `associate--l+` `-commutative` `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 → 119

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
83.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
62.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
39.0ms	(* 3.0 (sqrt x))

simplify889.0ms

Counts

131 → 131

Iterations

Useful iterations: done (886.0ms)

Iter	Nodes	Cost
0	230	2240
1	590	1933
2	2329	1642
done	5000	1637

prune262.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
24×	`prod-diff`
18×	`add-exp-log` `associate-r` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
7×	`associate-l` `sqrt-prod` `distribute-lft-out`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `associate-*l/` `associate--l+` `flip--` `distribute-lft-out--`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

93.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
101.0ms	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

series163.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms	(/ 1.0 (* x 9.0))
38.0ms	(* 3.0 (sqrt x))
76.0ms	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

simplify756.0ms

Counts

139 → 139

Iterations

Useful iterations: done (751.0ms)

Iter	Nodes	Cost
0	239	2280
1	540	1993
2	2078	1648
done	5000	1643

prune330.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)) (sqrt x))

rewrite694.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
75×	`add-sqr-sqrt` `times-frac`
67×	`add-cube-cbrt`
24×	`prod-diff`
18×	`add-exp-log` `associate-r` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1` `associate-/l*`
7×	`associate-l` `sqrt-prod` `distribute-lft-out`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`sub-neg` `flip3--` `associate-*l/` `associate--l+` `flip--` `distribute-lft-out--`
1×	`frac-2neg` `clear-num` `associate-/l/` `difference-of-squares`

Counts

4 → 176

Calls

4 calls:

336.0ms	(* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))
340.0ms	(* (* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)) (sqrt x))

series167.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
16.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* 3.0 (sqrt x))
79.0ms	(* (* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)) (sqrt x))

simplify1.1s

Counts

188 → 188

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	339	2957
1	762	2626
2	2857	2277
done	5001	2272

prune500.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1.0 (sqrt x)) (sqrt 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (- (+ y (* (/ (/ 1 (sqrt x)) (sqrt 9.0)) (/ (/ 1.0 (sqrt x)) (sqrt 9.0)))) 1.0)) (sqrt x))
0.5b	(* (/ (/ 1 (sqrt x)) (sqrt 9.0)) (/ (/ 1.0 (sqrt x)) (sqrt 9.0)))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

974×	`times-frac`
758×	`add-sqr-sqrt`
497×	`sqrt-prod`
420×	`*-un-lft-identity`
392×	`add-cube-cbrt`
148×	`associate-r`
140×	`associate-l`
79×	`unswap-sqr`
76×	`add-exp-log`
52×	`add-cbrt-cube`
36×	`div-exp`
22×	`div-inv` `associate-/l*`
21×	`cbrt-undiv`
19×	`prod-exp`
13×	`pow1` `cbrt-unprod`
6×	`associate-/r*`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r/` `associate-l/` `*-commutative`
1×	`frac-times` `flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

11.0ms	(/ (/ 1.0 (sqrt x)) (sqrt 9.0))
5.0ms	(* 3.0 (sqrt x))
39.0ms	(* (* 3.0 (- (+ y (* (/ (/ 1 (sqrt x)) (sqrt 9.0)) (/ (/ 1.0 (sqrt x)) (sqrt 9.0)))) 1.0)) (sqrt x))
282.0ms	(* (/ (/ 1 (sqrt x)) (sqrt 9.0)) (/ (/ 1.0 (sqrt x)) (sqrt 9.0)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (/ 1.0 (sqrt x)) (sqrt 9.0))
38.0ms	(* 3.0 (sqrt x))
209.0ms	(* (* 3.0 (- (+ y (* (/ (/ 1 (sqrt x)) (sqrt 9.0)) (/ (/ 1.0 (sqrt x)) (sqrt 9.0)))) 1.0)) (sqrt x))
128.0ms	(* (/ (/ 1 (sqrt x)) (sqrt 9.0)) (/ (/ 1.0 (sqrt x)) (sqrt 9.0)))

simplify1.1s

Counts

625 → 625

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	698	13216
1	2181	12163
done	5000	10919

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	24	23
done	24	23

end0.0ms

sample838.0ms

Algorithm

intervals

Results

278.0ms	8597×	body	80	nan
275.0ms	8564×	body	80	valid