Details

sample66.0ms

Algorithm

intervals

Results

15.0ms	212×	body	80	valid
9.0ms	28×	body	1280	valid
8.0ms	29×	body	640	valid
3.0ms	17×	body	320	valid
3.0ms	8×	body	2560	valid
2.0ms	17×	body	160	valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	9	15
1	20	15
2	64	7
3	151	5
4	480	5
5	1488	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

22.0ms

(* y (- x z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* y (- x z))

simplify3.6s

Counts

29 → 29

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

4.5b	(- (* x x) (* z z))
8.4b	(* y (- (* x x) (* z z)))
20.6b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

17.0ms	(- (* x x) (* z z))
65.0ms	(* y (- (* x x) (* z z)))
31.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series291.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x x) (* z z))
120.0ms	(* y (- (* x x) (* z z)))
110.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	109	1027
1	296	982
2	1089	818
done	5000	734

prune201.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt y) (- x z))
0.2b	(* (sqrt y) (* (sqrt y) (- x z)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

34.0ms	(* (sqrt y) (- x z))
58.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (sqrt y) (- x z))
52.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify3.2s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	103	759
1	248	575
2	856	513
3	3223	503
done	5002	503

prune168.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

643.0ms	922×	body	640	valid
640.0ms	7080×	body	80	valid
227.0ms	952×	body	1280	valid
92.0ms	208×	body	2560	valid
84.0ms	604×	body	320	valid
34.0ms	345×	body	160	valid