Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	256×	pre	80	true
17.0ms	256×	body	80	valid

simplify55.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
5	92
4	91
3	71
2	40
1	18
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
5×	`associate-r` `add-cube-cbrt`
4×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

40.0ms	(+ (+ b c) d)
64.0ms	(* a (+ (+ b c) d))

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ b c) d)
48.0ms	(* a (+ (+ b c) d))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	2069
3	2069
2	811
1	203
0	72

prune543.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.0b	(+ (* a (+ b c)) (* a d))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

14.0ms	(* a (+ b c))
14.0ms	(+ (* a (+ b c)) (* a d))

series101.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* a (+ b c))
62.0ms	(+ (* a (+ b c)) (* a d))

simplify1.0s

Counts

50 → 50

Iterations

Iter	Nodes
done	2016
3	2016
2	844
1	243
0	78

prune441.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (/ (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (fma d (- d (+ b c)) (* (+ b c) (+ b c)))))
0.1b	(* d (* d d))
0.2b	(fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d)))
17.2b	(/ (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (fma d (- d (+ b c)) (* (+ b c) (+ b c))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
20×	`pow1`
19×	`times-frac`
16×	`add-cbrt-cube` `add-exp-log`
14×	`associate-r`
6×	`associate-l`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `cube-unmult` `associate-*r/` `pow-sqr` `fma-udef`

Counts

4 → 103

Calls

4 calls:

9.0ms	(* a (/ (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (fma d (- d (+ b c)) (* (+ b c) (+ b c)))))
28.0ms	(* d (* d d))
0.0ms	(fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d)))
10.0ms	(/ (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (fma d (- d (+ b c)) (* (+ b c) (+ b c))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* a (/ (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (fma d (- d (+ b c)) (* (+ b c) (+ b c)))))
40.0ms	(* d (* d d))
159.0ms	(fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d)))
106.0ms	(/ (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (fma d (- d (+ b c)) (* (+ b c) (+ b c))))

simplify1.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	2004
3	2004
2	1139
1	358
0	156

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* c c) c (* (* b b) b))
0.1b	(* (* b b) b)
0.5b	(* (fma (* c c) c (* (* b b) b)) a)
25.5b	(/ (* (fma (* c c) c (* (* b b) b)) a) (+ (* b b) (- (* c c) (* b c))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `associate-r` `pow-prod-up`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `times-frac`
2×	`pow2` `cbrt-undiv` `div-exp` `associate-/r/` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `pow3` `flip-+` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

0.0ms	(fma (* c c) c (* (* b b) b))
15.0ms	(* (* b b) b)
6.0ms	(* (fma (* c c) c (* (* b b) b)) a)
39.0ms	(/ (* (fma (* c c) c (* (* b b) b)) a) (+ (* b b) (- (* c c) (* b c))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma (* c c) c (* (* b b) b))
36.0ms	(* (* b b) b)
114.0ms	(* (fma (* c c) c (* (* b b) b)) a)
100.0ms	(/ (* (fma (* c c) c (* (* b b) b)) a) (+ (* b b) (- (* c c) (* b c))))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	2002
3	2002
2	1102
1	295
0	132

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes340.0ms

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	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

840.0ms	8000×	pre	80	true
377.0ms	8000×	body	80	valid