Details

sample189.0ms

Algorithm

intervals

Results

127.0ms

256×

body

160

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	2051
5	1318
4	729
3	448
2	286
1	95
0	31

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b	(* 333.75 (pow 33096 6))
1.0b	(* 5.5 (pow 33096 8))
1.0b	(+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096)))
62.0b	(+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`add-log-exp`
14×	`-un-lft-identity` `associate-r*` `add-exp-log`
12×	`add-cube-cbrt`
9×	`sum-log`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`fma-def` `associate-l` `prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `sqr-pow`
3×	`flip3-+` `flip-+`
2×	`pow-to-exp` `+-commutative` `associate-+l+` `frac-add` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

16.0ms	(* 333.75 (pow 33096 6))
17.0ms	(* 5.5 (pow 33096 8))
1.1s	(+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096)))
859.0ms	(+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* 333.75 (pow 33096 6))
0.0ms	(* 5.5 (pow 33096 8))
0.0ms	(+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096)))
0.0ms	(+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8)))

simplify5.7s

Counts

102 → 102

Iterations

Iter	Nodes
3	7806
2	1595
1	454
0	178

prune703.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize80.0ms

Local error

Found 4 expressions with local error:

1.0b	(* 1439474789212538429291115400277262336 5.5)
1.0b	(* 1439474789212538429291115400277262336 5.5)
1.0b	(* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)
63.3b	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* 1439474789212538429291115400277262336 5.5)
10.0ms	(* 1439474789212538429291115400277262336 5.5)
36.0ms	(* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)
1.0ms	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* 1439474789212538429291115400277262336 5.5)
0.0ms	(* 1439474789212538429291115400277262336 5.5)
0.0ms	(* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)
0.0ms	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

simplify2.6s

Counts

78 → 78

Iterations

Iter	Nodes
4	4369
3	1229
2	470
1	193
0	90

prune634.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize70.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* 1439474789212538429291115400277262336 (sqrt 5.5)) (sqrt 5.5))
1.0b	(* 1439474789212538429291115400277262336 5.5)
1.0b	(* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)
63.3b	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

21.0ms	(* (* 1439474789212538429291115400277262336 (sqrt 5.5)) (sqrt 5.5))
5.0ms	(* 1439474789212538429291115400277262336 5.5)
21.0ms	(* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)
0.0ms	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (* 1439474789212538429291115400277262336 (sqrt 5.5)) (sqrt 5.5))
0.0ms	(* 1439474789212538429291115400277262336 5.5)
0.0ms	(* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)
0.0ms	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
3	2260
2	786
1	265
0	113

prune628.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize105.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (sqrt 5.5))
1.0b	(cbrt (sqrt 5.5))
1.0b	(cbrt (sqrt 5.5))
63.3b	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (sqrt 5.5))
1.0ms	(cbrt (sqrt 5.5))
1.0ms	(cbrt (sqrt 5.5))
0.0ms	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt (sqrt 5.5))
0.0ms	(cbrt (sqrt 5.5))
0.0ms	(cbrt (sqrt 5.5))
0.0ms	(fma (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (* (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890) (fma 333.75 1314174534371215466459037696 -7917111779274712207494296632228773890)) (* 5.5 (* (* 5.5 2982717960244805440196959278257715859509800802206226837608419884111561210238575275846436156793848210502189056) 5.5)))

simplify11.2s

Counts

66 → 66

Iterations

Iter	Nodes
5	16208
4	1938
3	396
2	124
1	69
0	50

prune674.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

simplify25.0ms

Iterations

Iter	Nodes
3	44
2	44
1	43
0	31

end0.0ms

sample6.3s

Algorithm

intervals

Results

6.2s

8000×

body

160

valid