Details

sample47.0ms

Algorithm

intervals

Results

23.0ms

263×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	650
1	41	650
2	88	650
3	264	650
4	733	650
5	1788	650
6	3199	650
7	4646	650
done	5000	650

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize52.0ms

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))

rewrite241.0ms

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×	`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 → 91

Calls

4 calls:

21.0ms	(* (+ (* x y) z) y)
59.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
41.0ms	(* (+ (* (+ y a) y) b) y)
117.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series611.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* x y) z) y)
115.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms	(* (+ (* (+ y a) y) b) y)
390.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: 2 (647.0ms)

Iter	Nodes	Cost
0	195	46627
1	523	42714
2	1895	42314
done	5002	42314

prune978.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 28.2b

localize85.0ms

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))

rewrite452.0ms

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×	`pow1` `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 → 70

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
433.0ms	(/ (+ (* (+ (* (+ (* (* (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))

series817.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (* x y) z))
148.0ms	(cbrt (+ (* x y) z))
120.0ms	(cbrt (+ (* x y) z))
414.0ms	(/ (+ (* (+ (* (+ (* (* (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))

simplify4.4s

Counts

82 → 82

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	142	49937
1	357	46924
2	1050	46724
3	4058	40484
done	5008	40364

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.2b

localize112.0ms

Local error

Found 4 expressions with local error:

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

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

86.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
53.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t)))
106.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms	(* (+ (* (+ y a) y) b) y)
590.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t)))
745.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t))

simplify428.0ms

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	275	130203