Details

sample71.0ms

Algorithm

intervals

Results

20.0ms	236×	body	80	valid
12.0ms	37×	body	1280	valid
8.0ms	32×	body	640	valid
3.0ms	17×	body	320	valid
2.0ms	17×	body	160	valid
2.0ms	5×	body	2560	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4705
4	741
3	217
2	75
1	23
0	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

19.0ms

(* y (- x z))

series55.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* y (- x z))

simplify926.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	835
1	235
0	102

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* (- z) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `+-commutative` `sum-log` `fma-def` `*-un-lft-identity` `flip3-+` `distribute-rgt-out` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+` `log1p-expm1-u`

Counts

1 → 17

Calls

1 calls:

10.0ms

(+ (* x y) (* (- z) y))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(+ (* x y) (* (- z) y))

simplify2.7s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	2432
2	457
1	114
0	33

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt x) (cbrt x))
291.0ms	(cbrt x)
283.0ms	(cbrt x)
266.0ms	(cbrt x)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune646.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

2.2b	(- (* x x) (* z z))
8.3b	(* y (- (* x x) (* z z)))
23.5b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`distribute-rgt-in` `expm1-log1p-u` `sub-neg` `distribute-lft-in` `flip3--` `associate-l` `prod-diff` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

13.0ms	(- (* x x) (* z z))
39.0ms	(* y (- (* x x) (* z z)))
44.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series285.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x x) (* z z))
109.0ms	(* y (- (* x x) (* z z)))
120.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2101
1	361
0	122

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
3	17
2	16
1	12
0	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

904.0ms	7093×	body	80	valid
326.0ms	914×	body	640	valid
234.0ms	922×	body	1280	valid
99.0ms	667×	body	320	valid
96.0ms	190×	body	2560	valid
33.0ms	348×	body	160	valid