Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

330×

body

valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.1s)

Iter	Nodes	Cost
0	12	13
1	22	13
2	50	12
3	122	11
4	273	11
5	487	11
6	738	11
7	1068	10
8	1691	10
9	3608	10
done	5000	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`times-frac`
14×	`add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u`
2×	`div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `fma-udef` `div-inv` `distribute-lft-out`

Counts

3 → 68

Calls

3 calls:

29.0ms	(+ 0.25 (/ (- x z) y))
0.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
32.0ms	(/ (- x z) y)

series114.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ 0.25 (/ (- x z) y))
51.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
36.0ms	(/ (- x z) y)

simplify1.6s

Counts

77 → 77

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	119	796
1	268	753
2	688	703
3	2288	694
done	5000	691

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
52×	`prod-diff`
49×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
37×	`times-frac`
15×	`distribute-lft-out`
7×	`add-log-exp`
4×	`fma-neg` `div-inv`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `frac-sub` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `fma-udef`

Counts

2 → 88

Calls

2 calls:

196.0ms	(- (+ 0.25 (/ x y)) (/ z y))
1.0ms	(fma (- (+ 0.25 (/ x y)) (/ z y)) 4.0 1.0)

series67.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (+ 0.25 (/ x y)) (/ z y))
38.0ms	(fma (- (+ 0.25 (/ x y)) (/ z y)) 4.0 1.0)

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	198	2990
1	477	2689
2	1354	1943
done	5000	1500

prune176.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

1199×	`times-frac`
952×	`add-sqr-sqrt`
942×	`*-un-lft-identity`
926×	`add-cube-cbrt`
845×	`prod-diff`
342×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
135×	`div-inv`
13×	`fma-neg`
12×	`associate-r`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `fma-def` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 938

Calls

3 calls:

106.0ms	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
139.0ms	(* 4.0 (- (/ x y) (/ z y)))
58.0ms	(- (/ x y) (/ z y))

series173.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
72.0ms	(* 4.0 (- (/ x y) (/ z y)))
44.0ms	(- (/ x y) (/ z y))

simplify3.1s

Counts

947 → 947

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	768	33891
1	1311	29349
2	2688	20980
done	5001	15793

prune3.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
13×	`add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 60

Calls

3 calls:

0.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
24.0ms	(/ (- x z) y)
1.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))

series211.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
31.0ms	(/ (- x z) y)
73.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))

simplify3.4s

Counts

69 → 69

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	109	877
1	216	852
2	511	701
3	1430	626
4	4710	622
done	5000	622

prune282.0ms

Pruning

2 alts after pruning (0 fresh and 2 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	10	11
1	12	11
done	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

10118×

body

valid