Details

sample37.0ms

Algorithm

intervals

Results

20.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (137.0ms)

Iter	Nodes	Cost
0	16	406
1	33	381
2	79	381
3	200	381
4	496	356
5	750	356
6	1145	356
7	1989	356
8	4082	356
done	5000	356

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- a b))
1.0b	(fma (+ x y) z (fma t a (* y (- a b))))
1.3b	(fma t a (* y (- a b)))
25.1b	(/ (fma (+ x y) z (fma t a (* y (- a b)))) (+ (+ x t) y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`associate-/r` `associate-r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l*`
2×	`sub-neg` `associate-*r/` `associate-/r/` `fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

19.0ms	(* y (- a b))
0.0ms	(fma (+ x y) z (fma t a (* y (- a b))))
0.0ms	(fma t a (* y (- a b)))
28.0ms	(/ (fma (+ x y) z (fma t a (* y (- a b)))) (+ (+ x t) y))

series833.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (- a b))
117.0ms	(fma (+ x y) z (fma t a (* y (- a b))))
40.0ms	(fma t a (* y (- a b)))
636.0ms	(/ (fma (+ x y) z (fma t a (* y (- a b)))) (+ (+ x t) y))

simplify2.1s

Counts

117 → 117

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	183	40579
1	392	37522
2	1046	33973
3	4024	33673
done	5000	33673

prune589.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a b) y)
1.0b	(fma (+ x y) z (fma t a (* (- a b) y)))
1.3b	(fma t a (* (- a b) y))
25.1b	(/ (fma (+ x y) z (fma t a (* (- a b) y))) (+ (+ x t) y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
12×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`associate-/r` `associate-l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `associate-/r/` `fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

23.0ms	(* (- a b) y)
0.0ms	(fma (+ x y) z (fma t a (* (- a b) y)))
0.0ms	(fma t a (* (- a b) y))
29.0ms	(/ (fma (+ x y) z (fma t a (* (- a b) y))) (+ (+ x t) y))

series828.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- a b) y)
120.0ms	(fma (+ x y) z (fma t a (* (- a b) y)))
37.0ms	(fma t a (* (- a b) y))
638.0ms	(/ (fma (+ x y) z (fma t a (* (- a b) y))) (+ (+ x t) y))

simplify1.9s

Counts

95 → 95

Iterations

Useful iterations: 3 (899.0ms)

Iter	Nodes	Cost
0	131	30757
1	273	29365
2	817	29100
3	3726	29000
done	5000	29000

prune517.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (fma (+ x y) z (fma t a (* y (- a b))))))
1.0b	(fma (+ x y) z (fma t a (* y (- a b))))
1.3b	(fma t a (* y (- a b)))
25.1b	(/ (+ (+ x t) y) (fma (+ x y) z (fma t a (* y (- a b)))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
132×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
22×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 161

Calls

4 calls:

35.0ms	(/ 1 (/ (+ (+ x t) y) (fma (+ x y) z (fma t a (* y (- a b))))))
0.0ms	(fma (+ x y) z (fma t a (* y (- a b))))
0.0ms	(fma t a (* y (- a b)))
62.0ms	(/ (+ (+ x t) y) (fma (+ x y) z (fma t a (* y (- a b)))))

series915.0ms

Counts

4 → 12

Calls

4 calls:

631.0ms	(/ 1 (/ (+ (+ x t) y) (fma (+ x y) z (fma t a (* y (- a b))))))
121.0ms	(fma (+ x y) z (fma t a (* y (- a b))))
37.0ms	(fma t a (* y (- a b)))
126.0ms	(/ (+ (+ x t) y) (fma (+ x y) z (fma t a (* y (- a b)))))

simplify164.0ms

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	190	94512