Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

398×

body

valid

simplify482.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (101.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	117	19
3	348	19
4	1373	18
done	5000	18

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
0.0b	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
2.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

series248.0ms

Counts

2 → 6

Calls

2 calls:

161.0ms	(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
87.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

simplify1.2s

Counts

26 → 26

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	47	472
1	88	462
2	200	399
3	577	395
4	3920	395
done	5001	395

prune102.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z x))
0.0b	(fma (- 1.0 t) a (+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z x)))
0.0b	(* b (- (+ y t) 2.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
48×	`prod-diff`
37×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
30×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`distribute-lft-out`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg` `associate--l+`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`associate-*r/` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 110

Calls

3 calls:

21.0ms	(+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z x))
0.0ms	(fma (- 1.0 t) a (+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z x)))
44.0ms	(* b (- (+ y t) 2.0))

series272.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z x))
162.0ms	(fma (- 1.0 t) a (+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z x)))
29.0ms	(* b (- (+ y t) 2.0))

simplify35.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	170	2239