Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

330×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (852.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite70.0ms

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:

42.0ms	(+ 0.25 (/ (- x z) y))
1.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
24.0ms	(/ (- x z) y)

series119.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ 0.25 (/ (- x z) y))
55.0ms	(fma (+ 0.25 (/ (- x z) y)) 4.0 1.0)
34.0ms	(/ (- x z) y)

simplify1.5s

Counts

77 → 77

Iterations

Useful iterations: done (1.5s)

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

prune295.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ (- x z) y) 4.0 2.0)
0.0b	(/ (- x z) y)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

1.0ms	(fma (/ (- x z) y) 4.0 2.0)
43.0ms	(/ (- x z) y)

series105.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma (/ (- x z) y) 4.0 2.0)
51.0ms	(/ (- x z) y)

simplify3.1s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	92	570
1	194	545
2	457	497
3	1283	497
4	4527	496
done	5000	496

prune204.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- (/ x y) (/ z y)) 4.0 2.0)
0.0b	(- (/ x y) (/ z y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
205×	`add-sqr-sqrt`
201×	`*-un-lft-identity`
193×	`add-cube-cbrt`
169×	`prod-diff`
29×	`div-inv`
13×	`fma-neg`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `fma-udef` `sub-div`

Counts

2 → 217

Calls

2 calls:

0.0ms	(fma (- (/ x y) (/ z y)) 4.0 2.0)
50.0ms	(- (/ x y) (/ z y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (- (/ x y) (/ z y)) 4.0 2.0)
26.0ms	(- (/ x y) (/ z y))

simplify4.4s

Counts

223 → 223

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	327	8064
1	715	7067
2	1556	5114
3	4986	3703
done	5000	3703

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

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))

rewrite21.0ms

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)
18.0ms	(/ (- x z) y)
1.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))

series220.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(fma (fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y)) 4.0 1.0)
47.0ms	(/ (- x z) y)
79.0ms	(fma (* (cbrt 0.25) (cbrt 0.25)) (cbrt 0.25) (/ (- x z) y))

simplify3.0s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.7s)

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

prune236.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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	9	10
done	9	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

10118×

body

valid