Details

sample72.0ms

Algorithm

intervals

Results

35.0ms

263×

body

valid

simplify12.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	26	650
1	48	475
2	102	475
3	302	475
4	856	475
5	1942	475
6	3462	475
7	4282	475
8	4575	475
done	5000	475

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize110.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
28.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 99

Calls

4 calls:

39.0ms	(* (+ (* x y) z) y)
77.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
68.0ms	(* (+ (* (+ y a) y) b) y)
161.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series717.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* x y) z) y)
94.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
48.0ms	(* (+ (* (+ y a) y) b) y)
514.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.7s

Counts

111 → 111

Iterations

Useful iterations: 2 (889.0ms)

Iter	Nodes	Cost
0	203	49627
1	533	36914
2	2002	36364
done	5005	36364

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 28.2b

localize106.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (+ (* x y) z))
7.9b	(cbrt (+ (* x y) z))
7.9b	(cbrt (+ (* x y) z))
28.8b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite535.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 78

Calls

4 calls:

7.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
515.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ (* x y) z))
186.0ms	(cbrt (+ (* x y) z))
163.0ms	(cbrt (+ (* x y) z))
480.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify3.5s

Counts

90 → 90

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	146	53175
1	374	42387
2	1118	42087
3	4192	35527
done	5000	35452

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.2b

localize112.0ms

Local error

Found 4 expressions with local error:

25.5b	(cbrt (* (+ (* (+ y a) y) b) y))
25.5b	(cbrt (* (+ (* (+ y a) y) b) y))
25.5b	(cbrt (* (+ (* (+ y a) y) b) y))
28.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

22.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
12.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
12.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
356.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
145.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
161.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
700.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify3.7s

Counts

84 → 84

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	130	49995
1	323	41118
2	982	40938
3	4027	35328
done	5000	35328

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma (+ y a) y b) y c) y i)
0.1b	(fma (fma (+ y a) y b) y c)
0.3b	(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma y (fma y (fma (fma y x z) y 27464.7644705) 230661.510616) t)))
28.8b	(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma y (fma y (fma (fma y x z) y 27464.7644705) 230661.510616) t))

rewrite23.0ms

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*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
0.0ms	(fma (fma (+ y a) y b) y c)
10.0ms	(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma y (fma y (fma (fma y x z) y 27464.7644705) 230661.510616) t)))
8.0ms	(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma y (fma y (fma (fma y x z) y 27464.7644705) 230661.510616) t))

series1.7s

Counts

4 → 12

Calls

4 calls:

171.0ms	(fma (fma (fma (+ y a) y b) y c) y i)
91.0ms	(fma (fma (+ y a) y b) y c)
656.0ms	(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma y (fma y (fma (fma y x z) y 27464.7644705) 230661.510616) t)))
738.0ms	(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma y (fma y (fma (fma y x z) y 27464.7644705) 230661.510616) t))

simplify246.0ms

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	195	90006