Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify8.1s

Counts

1 → 1

Iterations

Iter	Nodes
9	9368
8	1935
7	740
6	364
5	206
4	104
3	46
2	28
1	14
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (* x x) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma x (* x x) (* x x))

series116.0ms

Counts

1 → 3

Calls

1 calls:

116.0ms

(fma x (* x x) (* x x))

simplify7.4s

Counts

14 → 14

Iterations

Iter	Nodes
5	7627
4	1155
3	247
2	75
1	31
0	19

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.0b	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
0.1b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
23.0b	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma x (* x x) (* x x))
29.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
10.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
18.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(fma x (* x x) (* x x))
57.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
31.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
116.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
3	2566
2	697
1	218
0	98

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
0.1b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
23.0b	(cbrt (+ (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x (* x x))) (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x x))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
19×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l`
7×	`associate-r` `pow-prod-up`
6×	`swap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`cbrt-prod` `expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-plus` `pow-sqr` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-div` `distribute-lft-in`
1×	`flip3-+` `pow1/3` `cube-unmult` `flip-+` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

30.0ms	(* x (* x x))
11.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
6.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
37.0ms	(cbrt (+ (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x (* x x))) (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (* x x))
50.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
41.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
904.0ms	(cbrt (+ (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x (* x x))) (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (* x x))))

simplify4.8s

Counts

116 → 116

Iterations

Iter	Nodes
3	7285
2	1201
1	321
0	130

prune355.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.2b	(pow (/ 1 x) -3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down`
9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`add-exp-log`
4×	`pow-exp`
3×	`pow1` `pow-unpow` `pow-pow`
2×	`div-exp`
1×	`expm1-log1p-u` `pow-to-exp` `rec-exp` `add-cbrt-cube` `1-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `inv-pow` `add-log-exp` `sqr-pow`

Counts

1 → 35

Calls

1 calls:

9.0ms

(pow (/ 1 x) -3)

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(pow (/ 1 x) -3)

simplify4.2s

Counts

38 → 38

Iterations

Iter	Nodes
5	5180
4	1993
3	932
2	391
1	173
0	85

prune93.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
1	6
0	6

end0.0ms

sample881.0ms

Algorithm

intervals

Results

475.0ms	8000×	body	80	valid
269.0ms	8000×	pre	80	true