Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

267×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	14	326
1	24	301
2	43	276
3	75	276
4	115	276
5	149	276
6	185	276
7	258	276
8	425	276
9	731	276
10	1582	276
11	4203	276
done	5000	276

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- t a))
0.3b	(fma x y (* z (- t a)))
24.4b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

20.0ms	(* z (- t a))
0.0ms	(fma x y (* z (- t a)))
4.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series547.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* z (- t a))
71.0ms	(fma x y (* z (- t a)))
412.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify2.7s

Counts

94 → 94

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	163	28937
1	332	26457
2	711	22903
3	1990	22773
done	5005	21813

prune612.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(fma x y (* z (- t a)))
1.5b	(/ 1 (fma z (- b y) y))
23.4b	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r` `prod-diff`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-r/` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `sub-neg` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `un-div-inv` `fma-udef` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

36.0ms	(* z (- t a))
1.0ms	(fma x y (* z (- t a)))
9.0ms	(/ 1 (fma z (- b y) y))
30.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* z (- t a))
70.0ms	(fma x y (* z (- t a)))
70.0ms	(/ 1 (fma z (- b y) y))
448.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify3.2s

Counts

139 → 139

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	200	39885
1	415	33945
2	860	29933
3	2514	29853
done	5010	28893

prune571.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
0.3b	(fma x y (* z (- t a)))
24.4b	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
72×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
68×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`prod-diff`
16×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*`
5×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `1-exp` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

34.0ms	(* z (- t a))
14.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
0.0ms	(fma x y (* z (- t a)))
4.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

series951.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* z (- t a))
669.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
79.0ms	(fma x y (* z (- t a)))
143.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

simplify3.8s

Counts

175 → 175

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	264	73210
1	568	64360
2	1118	60676
3	3307	58139
done	5000	57179

prune985.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 13.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (fma z (- b y) y) (fma x y (+ (* t z) (* (- a) z)))))
0.3b	(fma x y (+ (* t z) (* (- a) z)))
1.3b	(+ (* t z) (* (- a) z))
24.4b	(/ (fma z (- b y) y) (fma x y (+ (* t z) (* (- a) z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
2×	`distribute-lft-neg-out` `rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `associate-/r/` `flip-+` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 134

Calls

4 calls:

8.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (+ (* t z) (* (- a) z)))))
0.0ms	(fma x y (+ (* t z) (* (- a) z)))
6.0ms	(+ (* t z) (* (- a) z))
7.0ms	(/ (fma z (- b y) y) (fma x y (+ (* t z) (* (- a) z))))

series946.0ms

Counts

4 → 12

Calls

4 calls:

636.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (+ (* t z) (* (- a) z)))))
84.0ms	(fma x y (+ (* t z) (* (- a) z)))
63.0ms	(+ (* t z) (* (- a) z))
162.0ms	(/ (fma z (- b y) y) (fma x y (+ (* t z) (* (- a) z))))

simplify286.0ms

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	196	74322