Details

sample48.0ms

Algorithm

intervals

Results

23.0ms	331×	body	80	valid
0.0ms	1×	body	1280	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	62	7
4	161	7
5	435	7
6	1002	7
7	1471	7
8	1853	7
9	4329	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 53

Calls

1 calls:

55.0ms

(* (+ x y) (- 1.0 z))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (+ x y) (- 1.0 z))

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	134	1028
1	426	851
2	2366	727
done	5000	703

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
0.0b	(* (+ x y) (- z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r` `associate-*l/`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `neg-mul-1` `fma-def` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

16.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
47.0ms	(* (+ x y) (- z))

series113.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
43.0ms	(* (+ x y) (- z))

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	114	775
1	361	633
2	1719	586
done	5000	582

prune250.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (* z y))
0.0b	(- (* 1.0 y) (fma x z (* z y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

2 → 29

Calls

2 calls:

1.0ms	(fma x z (* z y))
20.0ms	(- (* 1.0 y) (fma x z (* z y)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(fma x z (* z y))
70.0ms	(- (* 1.0 y) (fma x z (* z y)))

simplify1.4s

Counts

35 → 35

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	58	543
1	153	456
2	859	352
done	5000	334

prune117.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

1.2b	(* (- (* x x) (* y y)) (- 1.0 z))
2.8b	(- (* x x) (* y y))
23.9b	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

68.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
17.0ms	(- (* x x) (* y y))
75.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
55.0ms	(- (* x x) (* y y))
109.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify3.0s

Counts

116 → 116

Iterations

Useful iterations: 2 (746.0ms)

Iter	Nodes	Cost
0	215	2402
1	623	2171
2	4322	1849
done	5000	1849

prune356.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample872.0ms

Algorithm

intervals

Results

405.0ms	10195×	body	80	valid
1.0ms	3×	body	1280	valid