Details

sample59.0ms

Algorithm

intervals

Results

18.0ms	212×	body	80	valid
7.0ms	28×	body	1280	valid
5.0ms	26×	body	640	valid
3.0ms	8×	body	2560	valid
2.0ms	22×	body	160	valid
2.0ms	15×	body	320	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (673.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	77	8
3	200	7
4	607	5
5	1872	5
done	5000	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

30.0ms

(* (- x z) y)

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (- x z) y)

simplify4.8s

Counts

27 → 27

Iterations

Useful iterations: 3 (493.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	349	174
3	1285	170
4	4544	170
done	5000	170

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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-l` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

10.0ms	(- (* x x) (* z z))
36.0ms	(* (- (* x x) (* z z)) y)
30.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series187.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* x x) (* z z))
75.0ms	(* (- (* x x) (* z z)) y)
78.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	115	1059
1	302	1010
2	1335	859
done	5000	753

prune228.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

53.0ms	(* (- x z) (sqrt y))
103.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series142.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (- x z) (sqrt y))
64.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify2.0s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	89	621
1	215	493
2	652	433
3	2202	427
done	5002	427

prune206.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample2.5s

Algorithm

intervals

Results

627.0ms	7079×	body	80	valid
485.0ms	209×	body	2560	valid
362.0ms	919×	body	1280	valid
274.0ms	844×	body	640	valid
181.0ms	542×	body	320	valid
65.0ms	518×	body	160	valid