Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify155.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	16	124
2	44	124
3	98	124
4	196	124
5	241	124
6	243	124
done	243	124

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

40.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify1.5s

Counts

35 → 35

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	80	10123
1	283	7996
2	1144	7751
done	5005	7721

prune177.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

31.0ms	(* (+ x y) z)
21.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (+ x y) z)
69.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))

simplify1.7s

Counts

48 → 48

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	98	12475
1	307	9779
2	1126	9499
done	5004	9334

prune203.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

3.0b	(fma x x (* y (- y x)))
3.0b	(fma x x (* y (- y x)))
3.0b	(fma x x (* y (- y x)))
48.2b	(/ (* (fma x x (* y (- y x))) (* (fma y (* y y) (* x (* x x))) (+ 1.0 z))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `-un-lft-identity` `associate-r/` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3-+` `times-frac` `flip-+` `div-inv` `associate-/l`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma x x (* y (- y x)))
0.0ms	(fma x x (* y (- y x)))
0.0ms	(fma x x (* y (- y x)))
46.0ms	(/ (* (fma x x (* y (- y x))) (* (fma y (* y y) (* x (* x x))) (+ 1.0 z))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma x x (* y (- y x)))
29.0ms	(fma x x (* y (- y x)))
31.0ms	(fma x x (* y (- y x)))
113.0ms	(/ (* (fma x x (* y (- y x))) (* (fma y (* y y) (* x (* x x))) (+ 1.0 z))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))))

simplify3.1s

Counts

71 → 71

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	98	28735
1	307	23871
2	1642	21604
done	5022	21075

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes341.0ms

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	124
1	10	124
done	10	124

end0.0ms

sample714.0ms

Algorithm

intervals

Results

337.0ms	10147×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid