Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

318×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4768
11	2301
10	821
9	365
8	226
7	129
6	95
5	72
4	55
3	36
2	20
1	11
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
9.2b	(/ (+ x (* y (- z x))) z)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 118

Calls

3 calls:

13.0ms	(+ x (* y (- z x)))
43.0ms	(* y (- z x))
29.0ms	(/ (+ x (* y (- z x))) z)

series197.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (* y (- z x)))
62.0ms	(* y (- z x))
88.0ms	(/ (+ x (* y (- z x))) z)

simplify2.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	4103
2	1047
1	416
0	189

prune395.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ y (fma (/ x z) (- y) (/ x z)))
3.3b	(fma (/ x z) (- y) (/ x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ y (fma (/ x z) (- y) (/ x z)))
1.0ms	(fma (/ x z) (- y) (/ x z))

series115.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ y (fma (/ x z) (- y) (/ x z)))
67.0ms	(fma (/ x z) (- y) (/ x z))

simplify1.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5014
3	1250
2	261
1	103
0	46

prune202.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y (fma (/ x z) (- y) (/ x z))))
3.3b	(fma (/ x z) (- y) (/ x z))
3.3b	(fma (/ x z) (- y) (/ x z))
3.3b	(fma (/ x z) (- y) (/ x z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`cbrt-prod` `expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 50

Calls

4 calls:

4.0ms	(cbrt (+ y (fma (/ x z) (- y) (/ x z))))
0.0ms	(fma (/ x z) (- y) (/ x z))
0.0ms	(fma (/ x z) (- y) (/ x z))
0.0ms	(fma (/ x z) (- y) (/ x z))

series340.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (+ y (fma (/ x z) (- y) (/ x z))))
71.0ms	(fma (/ x z) (- y) (/ x z))
62.0ms	(fma (/ x z) (- y) (/ x z))
52.0ms	(fma (/ x z) (- y) (/ x z))

simplify1.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	1661
2	501
1	215
0	101

prune269.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.3b	(fma (/ x z) (- y) (/ x z))
3.3b	(fma (/ x z) (- y) (/ x z))
3.3b	(fma (/ x z) (- y) (/ x z))
25.4b	(cbrt (- (* y y) (* (fma (/ x z) (- y) (/ x z)) (fma (/ x z) (- y) (/ x z)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`cbrt-prod` `expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--` `difference-of-squares`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma (/ x z) (- y) (/ x z))
0.0ms	(fma (/ x z) (- y) (/ x z))
0.0ms	(fma (/ x z) (- y) (/ x z))
6.0ms	(cbrt (- (* y y) (* (fma (/ x z) (- y) (/ x z)) (fma (/ x z) (- y) (/ x z)))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma (/ x z) (- y) (/ x z))
58.0ms	(fma (/ x z) (- y) (/ x z))
65.0ms	(fma (/ x z) (- y) (/ x z))
239.0ms	(cbrt (- (* y y) (* (fma (/ x z) (- y) (/ x z)) (fma (/ x z) (- y) (/ x z)))))

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	2588
2	707
1	277
0	118

prune396.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample683.0ms

Algorithm

intervals

Results

491.0ms

10009×

body

valid