Details

sample46.0ms

Algorithm

intervals

Results

22.0ms

304×

body

valid

simplify99.0ms

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

localize20.0ms

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)

rewrite137.0ms

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:

71.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms	(/ (+ x 4.0) y)
30.0ms	(* (/ x y) z)

series127.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
38.0ms	(/ (+ x 4.0) y)
29.0ms	(* (/ x y) z)

simplify3.2s

Counts

88 → 88

Iterations

Useful iterations: 2 (650.0ms)

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

prune341.0ms

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)

rewrite206.0ms

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:

23.0ms	(/ y (+ x 4.0))
124.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
28.0ms	(/ 1 (/ y (+ x 4.0)))
15.0ms	(* (/ x y) z)

series191.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ y (+ x 4.0))
63.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
34.0ms	(/ 1 (/ y (+ x 4.0)))
35.0ms	(* (/ x y) z)

simplify3.6s

Counts

186 → 186

Iterations

Useful iterations: 3 (2.0s)

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

prune513.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

34.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
59.0ms	(* (+ x 4.0) (/ 1 y))
28.0ms	(* (/ x y) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
45.0ms	(* (+ x 4.0) (/ 1 y))
36.0ms	(* (/ x y) z)

simplify1.8s

Counts

102 → 102

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	190	1226
1	494	1037
2	1532	925
done	5000	907

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
186×	`add-sqr-sqrt`
151×	`*-un-lft-identity`
106×	`add-cube-cbrt`
35×	`associate-/r*`
25×	`difference-of-squares`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out`
15×	`unpow-prod-down`
12×	`associate-/r/` `div-inv`
11×	`div-exp`
9×	`associate-/l*`
7×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `sqr-pow`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `inv-pow`

Counts

4 → 238

Calls

4 calls:

20.0ms	(/ y (+ x 4.0))
294.0ms	(- (/ 1 (/ y (+ x 4.0))) (pow (/ z (/ y x)) 1))
17.0ms	(/ 1 (/ y (+ x 4.0)))
15.0ms	(/ z (/ y x))

series173.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ y (+ x 4.0))
77.0ms	(- (/ 1 (/ y (+ x 4.0))) (pow (/ z (/ y x)) 1))
26.0ms	(/ 1 (/ y (+ x 4.0)))
30.0ms	(/ z (/ y x))

simplify1.6s

Counts

250 → 250

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	406	4040
1	871	3477
2	2142	3138
done	5000	3084

prune712.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

73% (0.4b remaining)

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

bsearch105.0ms

Steps

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

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	29	48
1	35	46
done	35	46

end0.0ms

sample1.2s

Algorithm

intervals

Results

706.0ms

10019×

body

valid