Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	28	12
3	39	12
4	46	12
5	52	12
6	55	12
done	55	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
2.3b	(* (/ x y) z)

rewrite48.0ms

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:

8.0ms	(/ (+ x 4.0) y)
29.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms	(* (/ x y) z)

series99.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ x 4.0) y)
49.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify1.9s

Counts

88 → 88

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	142	904
1	342	859
2	982	785
3	3147	785
done	5000	785

prune213.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.0b	(/ y (+ x 4.0))
0.1b	(/ 1 (/ y (+ x 4.0)))
2.3b	(* (/ x y) z)

rewrite93.0ms

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:

62.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
5.0ms	(/ y (+ x 4.0))
10.0ms	(/ 1 (/ y (+ x 4.0)))
8.0ms	(* (/ x y) z)

series130.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
33.0ms	(/ y (+ x 4.0))
25.0ms	(/ 1 (/ y (+ x 4.0)))
24.0ms	(* (/ x y) z)

simplify1.3s

Counts

186 → 186

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	275	2441
1	641	2160
2	1805	1841
done	5000	1825

prune354.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.9b	(* (/ x (cbrt y)) z)
2.6b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 115

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
12.0ms	(* (/ x (cbrt y)) z)
38.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series546.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
194.0ms	(cbrt y)
116.0ms	(* (/ x (cbrt y)) z)
47.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify914.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (247.0ms)

Iter	Nodes	Cost
0	170	1543
1	478	1371
2	1621	947
done	5000	947

prune361.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
7.2b	(* x (/ z y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
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:

8.0ms	(/ (+ x 4.0) y)
27.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
8.0ms	(* x (/ z y))

series95.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ x 4.0) y)
49.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
19.0ms	(* x (/ z y))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	142	920
1	350	863
2	946	797
3	2994	797
done	5000	797

prune199.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

92.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch73.0ms

Steps

Iters	Range		Point
9	7.573771271304567e-12	5.139006765554396e-07	2.0322004459479788e-08
7	-8.042293026443825e+46	-2.5837291002954394e+45	-1.489959584885014e+46

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	42
1	26	31
done	26	31

end0.0ms

sample513.0ms

Algorithm

intervals

Results

297.0ms

10099×

body

valid