Details

sample57.0ms

Algorithm

intervals

Results

23.0ms	274×	body	80	valid
12.0ms	281×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	180	14
4	386	14
5	748	14
6	1738	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

22.0ms	(+ y (/ 1.0 (* x 9.0)))
162.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series178.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
73.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
44.0ms	(* 3.0 (sqrt x))
30.0ms	(/ 1.0 (* x 9.0))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	178	1134
1	483	1048
2	2610	942
done	5001	934

prune316.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))
0.4b	(/ 1.0 (* x 9.0))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
251.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
214.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms	(/ 1.0 (* x 9.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ y (/ 1.0 (* x 9.0)))
97.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
74.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
19.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

110 → 110

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	177	1564
1	459	1496
2	2111	1356
done	5000	1350

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

16.0ms	(+ y (/ 0.1111111111111111 x))
166.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
10.0ms	(* 3.0 (sqrt x))

series179.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ y (/ 0.1111111111111111 x))
81.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
48.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	140	849
1	394	788
2	2153	706
done	5002	700

prune215.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`associate-r`
8×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
6×	`associate-*l/`
4×	`add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `distribute-rgt-neg-out` `flip-+`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

68.0ms	(* (+ y (/ 1.0 (* x 9.0))) 3.0)
43.0ms	(* 3.0 (* (sqrt x) (- 1.0)))
84.0ms	(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))
10.0ms	(/ 1.0 (* x 9.0))

series177.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ y (/ 1.0 (* x 9.0))) 3.0)
41.0ms	(* 3.0 (* (sqrt x) (- 1.0)))
74.0ms	(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))
28.0ms	(/ 1.0 (* x 9.0))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (330.0ms)

Iter	Nodes	Cost
0	181	1154
1	485	1080
2	2638	936
done	5000	936

prune318.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes129.0ms

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	12	14
1	16	14
done	16	14

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s	8523×	body	80	valid
582.0ms	8579×	body	80	nan