Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	248×	body	80	nan
10.0ms	256×	body	80	valid

simplify183.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	11	284
1	21	284
2	38	259
3	62	259
4	84	259
5	109	259
6	126	259
7	128	259
8	129	259
done	129	259

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`fma-udef`

Counts

3 → 153

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
18.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
34.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
110.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
109.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify3.1s

Counts

162 → 162

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	251	77385
1	628	71808
2	2079	69916
done	5000	69793

prune875.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-l*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `flip--`

Counts

3 → 90

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
47.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
14.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
113.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
84.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify3.8s

Counts

99 → 99

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	144	33276
1	369	30550
2	1182	29916
3	4870	29596
done	5000	29596

prune546.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
0.0b	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
440×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
32×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`fma-udef` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 451

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
18.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
37.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
26.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

series416.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
126.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
106.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
129.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

simplify1.1s

Iterations

Useful iterations: 0 (218.0ms)

Iter	Nodes	Cost
0	618	287825