Details

sample68.0ms

Algorithm

intervals

Results

20.0ms	270×	body	80	valid
18.0ms	241×	body	80	nan

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	285
1	24	285
2	62	285
3	184	285
4	389	285
5	580	285
6	876	285
7	1360	285
8	2165	285
9	4987	285
done	5000	285

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b	(/ 1.0 (* x 9.0))

rewrite171.0ms

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:

9.0ms	(+ y (/ 1.0 (* x 9.0)))
8.0ms	(* 3.0 (sqrt x))
141.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(/ 1.0 (* x 9.0))

series188.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
50.0ms	(* 3.0 (sqrt x))
75.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
32.0ms	(/ 1.0 (* x 9.0))

simplify2.1s

Counts

131 → 131

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	230	43987
1	651	38976
2	2003	33740
done	5000	33417

prune662.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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

rewrite558.0ms

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:

14.0ms	(+ y (/ 1.0 (* x 9.0)))
212.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
312.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
12.0ms	(/ 1.0 (* x 9.0))

series235.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ y (/ 1.0 (* x 9.0)))
69.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
100.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
22.0ms	(/ 1.0 (* x 9.0))

simplify3.0s

Counts

193 → 193

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	277	87932
1	726	79007
2	2114	64751
done	5000	64441

prune546.0ms

Pruning

11 alts after pruning (10 fresh and 1 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) 3.0)
0.2b	(* (* (sqrt x) 3.0) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b	(/ 1.0 (* x 9.0))

rewrite185.0ms

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`
11×	`pow1`
9×	`associate-r`
8×	`distribute-lft-out`
7×	`associate-l`
6×	`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` `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:

8.0ms	(+ y (/ 1.0 (* x 9.0)))
8.0ms	(* (sqrt x) 3.0)
159.0ms	(* (* (sqrt x) 3.0) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ y (/ 1.0 (* x 9.0)))
47.0ms	(* (sqrt x) 3.0)
74.0ms	(* (* (sqrt x) 3.0) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms	(/ 1.0 (* x 9.0))

simplify2.2s

Counts

131 → 131

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	227	43948
1	646	39058
2	2012	33822
done	5004	33499

prune519.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* (sqrt x) 3.0))
0.2b	(* (sqrt x) 3.0)
0.2b	(* (sqrt x) 3.0)
0.5b	(/ 1.0 (* x 9.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-r`
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:

16.0ms	(* y (* (sqrt x) 3.0))
8.0ms	(* (sqrt x) 3.0)
13.0ms	(* (sqrt x) 3.0)
8.0ms	(/ 1.0 (* x 9.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (* (sqrt x) 3.0))
46.0ms	(* (sqrt x) 3.0)
54.0ms	(* (sqrt x) 3.0)
31.0ms	(/ 1.0 (* x 9.0))

simplify3.1s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	150	21010
1	368	17396
2	1120	16872
3	4865	16331
done	5000	16331

prune619.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	285
1	16	285
done	16	285

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	8435×	body	80	nan
591.0ms	8527×	body	80	valid