Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	277×	body	80	valid
7.0ms	238×	body	80	nan

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	154	14
4	301	14
5	505	14
6	894	14
7	1249	14
8	1937	14
9	3745	14
done	5000	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

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))

rewrite96.0ms

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)))
79.0ms	(* (* 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))

series157.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	230	2240
1	611	1935
2	2758	1642
done	5000	1637

prune247.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
48×	`times-frac`
47×	`add-cube-cbrt`
33×	`associate-r`
28×	`sqrt-prod`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-def` `associate-r/` `-commutative`
2×	`sub-neg` `associate--l+` `div-inv`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 163

Calls

4 calls:

2.0ms	(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
32.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
25.0ms	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

series436.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
188.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
40.0ms	(* 3.0 (sqrt x))
99.0ms	(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

simplify1.8s

Counts

175 → 175

Iterations

Useful iterations: 2 (332.0ms)

Iter	Nodes	Cost
0	318	3263
1	913	2435
2	4196	2136
done	5000	2136

prune388.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 x) 9.0))
0.1b	(* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* (* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)) (sqrt x))

rewrite666.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

18.0ms	(+ y (/ (/ 1.0 x) 9.0))
312.0ms	(* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
322.0ms	(* (* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)) (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ (/ 1.0 x) 9.0))
28.0ms	(* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
17.0ms	(/ (/ 1.0 x) 9.0)
81.0ms	(* (* 3.0 (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)) (sqrt x))

simplify1.5s

Counts

181 → 181

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	321	2936
1	743	2600
2	3072	2270
done	5000	2267

prune425.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

1382×	`times-frac`
922×	`add-sqr-sqrt`
700×	`sqrt-prod`
576×	`add-cube-cbrt` `*-un-lft-identity`
262×	`cbrt-prod`
250×	`associate-r`
77×	`add-exp-log` `unswap-sqr`
65×	`associate-l`
64×	`add-cbrt-cube`
50×	`associate-/l*`
35×	`cbrt-undiv` `div-exp`
30×	`div-inv`
19×	`prod-exp` `cbrt-unprod`
12×	`associate-/r*`
11×	`pow1`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-r/` `associate-l/`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3--` `flip--`

Counts

4 → 846

Calls

4 calls:

16.0ms	(/ (/ (cbrt 1.0) (sqrt x)) (sqrt 9.0))
9.0ms	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (sqrt 9.0))
35.0ms	(* (* 3.0 (- (+ y (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (sqrt 9.0)) (/ (/ (cbrt 1.0) (sqrt x)) (sqrt 9.0)))) 1.0)) (sqrt x))
252.0ms	(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (sqrt 9.0)) (/ (/ (cbrt 1.0) (sqrt x)) (sqrt 9.0)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (/ (cbrt 1.0) (sqrt x)) (sqrt 9.0))
175.0ms	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (sqrt 9.0))
255.0ms	(* (* 3.0 (- (+ y (* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (sqrt 9.0)) (/ (/ (cbrt 1.0) (sqrt x)) (sqrt 9.0)))) 1.0)) (sqrt x))
189.0ms	(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) (sqrt 9.0)) (/ (/ (cbrt 1.0) (sqrt x)) (sqrt 9.0)))

simplify826.0ms

Counts

858 → 858

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	865	21189
1	2787	19233
done	5000	18627

prune2.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	19	14
done	19	14

end0.0ms

sample796.0ms

Algorithm

intervals

Results

268.0ms	8597×	body	80	nan
260.0ms	8564×	body	80	valid