Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

304×

body

valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	38	12
4	45	12
5	51	12
6	53	12
done	53	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
3.7b	(* (/ x y) z)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

78.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
18.0ms	(/ (+ x 4.0) y)
27.0ms	(* (/ x y) z)

series144.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
49.0ms	(/ (+ x 4.0) y)
35.0ms	(* (/ x y) z)

simplify3.0s

Counts

88 → 88

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	142	904
1	340	859
2	978	785
3	2995	785
done	5000	785

prune282.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4.0))
0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4.0)))
3.7b	(* (/ x y) z)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
104×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
13×	`associate-l`
11×	`associate-/r/`
9×	`div-exp`
7×	`pow1` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `flip-+`
3×	`associate-r`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow`

Counts

4 → 174

Calls

4 calls:

13.0ms	(/ y (+ x 4.0))
104.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
18.0ms	(/ 1 (/ y (+ x 4.0)))
15.0ms	(* (/ x y) z)

series195.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ y (+ x 4.0))
90.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
30.0ms	(/ 1 (/ y (+ x 4.0)))
35.0ms	(* (/ x y) z)

simplify3.5s

Counts

186 → 186

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	275	2441
1	625	2106
2	1563	1843
3	4973	1801
done	5000	1801

prune592.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1 y) (+ x 4.0)) (* (/ x y) z))
0.1b	(* (/ 1 y) (+ x 4.0))
3.7b	(* (/ x y) z)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-l`
22×	`*-un-lft-identity`
21×	`times-frac`
19×	`add-cube-cbrt`
17×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-*l/`
7×	`pow1` `associate-r`
6×	`prod-exp`
5×	`frac-sub` `add-log-exp` `unswap-sqr`
4×	`frac-times` `flip3-+` `associate-*r/` `cbrt-unprod` `flip-+`
3×	`div-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate--l+` `*-commutative` `div-inv`
1×	`sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `flip--` `distribute-lft-out` `sub-div`

Counts

3 → 94

Calls

3 calls:

35.0ms	(- (* (/ 1 y) (+ x 4.0)) (* (/ x y) z))
47.0ms	(* (/ 1 y) (+ x 4.0))
15.0ms	(* (/ x y) z)

series177.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- (* (/ 1 y) (+ x 4.0)) (* (/ x y) z))
49.0ms	(* (/ 1 y) (+ x 4.0))
42.0ms	(* (/ x y) z)

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	191	1229
1	557	1025
2	1813	931
done	5000	915

prune377.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4.0))
0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ 1 1) (/ z (/ y x))))
0.1b	(/ 1 (/ y (+ x 4.0)))
3.8b	(/ z (/ y x))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

190×	`times-frac`
140×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
35×	`associate-/r*`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out`
12×	`associate-/r/`
11×	`div-exp` `div-inv`
9×	`associate-/l*`
7×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+`
3×	`frac-2neg` `clear-num` `frac-sub`
2×	`rec-exp` `1-exp`
1×	`frac-times` `sub-neg` `flip3--` `pow-flip` `diff-log` `associate-r/` `associate-l/` `flip--` `distribute-lft-out--` `inv-pow`

Counts

4 → 215

Calls

4 calls:

18.0ms	(/ y (+ x 4.0))
130.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ 1 1) (/ z (/ y x))))
26.0ms	(/ 1 (/ y (+ x 4.0)))
19.0ms	(/ z (/ y x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ y (+ x 4.0))
58.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ 1 1) (/ z (/ y x))))
28.0ms	(/ 1 (/ y (+ x 4.0)))
23.0ms	(/ z (/ y x))

simplify1.7s

Counts

227 → 227

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	365	3211
1	802	2716
2	2165	2449
done	5000	2399

prune720.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

73% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch81.0ms

Steps

Iters	Range		Point
7	3.0079917641815495e+47	4.859928888733039e+49	4.009530153644869e+48
5	-2.294626366488831e+97	-1.033466382081211e+97	-1.1091102582946148e+97

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	50
1	37	48
done	37	48

end0.0ms

sample1.3s

Algorithm

intervals

Results

911.0ms

10019×

body

valid