Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

330×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 7 (408.0ms)

Iter	Nodes	Cost
0	12	13
1	22	13
2	46	13
3	109	13
4	232	13
5	364	13
6	485	13
7	648	11
8	1081	11
9	2451	11
done	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- x z) y) 0.25)
0.0b	(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
0.0b	(/ (- x z) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 62

Calls

3 calls:

42.0ms	(+ (/ (- x z) y) 0.25)
23.0ms	(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
23.0ms	(/ (- x z) y)

series82.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (/ (- x z) y) 0.25)
33.0ms	(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
31.0ms	(/ (- x z) y)

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: 3 (744.0ms)

Iter	Nodes	Cost
0	126	844
1	318	799
2	861	747
3	3314	731
done	5000	731

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 (/ (- x z) y)) 2.0)
0.0b	(* 4.0 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

14.0ms	(+ (* 4.0 (/ (- x z) y)) 2.0)
28.0ms	(* 4.0 (/ (- x z) y))
18.0ms	(/ (- x z) y)

series110.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* 4.0 (/ (- x z) y)) 2.0)
45.0ms	(* 4.0 (/ (- x z) y))
30.0ms	(/ (- x z) y)

simplify2.8s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	137	1051
1	340	974
2	1019	896
3	4236	890
done	5001	890

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

58.0ms	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
97.0ms	(* 4.0 (- (/ x y) (/ z y)))
47.0ms	(- (/ x y) (/ z y))

series125.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
44.0ms	(* 4.0 (- (/ x y) (/ z y)))
46.0ms	(- (/ x y) (/ z y))

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: 3 (790.0ms)

Iter	Nodes	Cost
0	125	1019
1	305	972
2	742	904
3	2675	896
done	5000	896

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ (/ (- x z) y) 0.25)) (cbrt (+ (/ (- x z) y) 0.25)))
0.3b	(cbrt (+ (/ (- x z) y) 0.25))
0.3b	(cbrt (+ (/ (- x z) y) 0.25))
0.3b	(cbrt (+ (/ (- x z) y) 0.25))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

306.0ms	(* (cbrt (+ (/ (- x z) y) 0.25)) (cbrt (+ (/ (- x z) y) 0.25)))
53.0ms	(cbrt (+ (/ (- x z) y) 0.25))
31.0ms	(cbrt (+ (/ (- x z) y) 0.25))
29.0ms	(cbrt (+ (/ (- x z) y) 0.25))

series1.5s

Counts

4 → 12

Calls

4 calls:

439.0ms	(* (cbrt (+ (/ (- x z) y) 0.25)) (cbrt (+ (/ (- x z) y) 0.25)))
390.0ms	(cbrt (+ (/ (- x z) y) 0.25))
347.0ms	(cbrt (+ (/ (- x z) y) 0.25))
343.0ms	(cbrt (+ (/ (- x z) y) 0.25))

simplify3.8s

Counts

107 → 107

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	105	2058
1	216	1909
2	521	1787
3	1368	1576
4	4614	1550
done	5001	1491

prune409.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

767.0ms

10118×

body

valid