Details

sample68.0ms

Algorithm

intervals

Results

35.0ms

391×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 6 (4.2s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	282	19
4	684	19
5	1533	19
6	3412	17
done	5001	17

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
0.2b	(* (* x 9.0) y)
3.6b	(/ (+ b (* (* x 9.0) y)) z)
8.0b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 89

Calls

4 calls:

81.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
19.0ms	(* (* x 9.0) y)
30.0ms	(/ (+ b (* (* x 9.0) y)) z)
144.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series541.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
36.0ms	(* (* x 9.0) y)
87.0ms	(/ (+ b (* (* x 9.0) y)) z)
214.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	182	1845
1	444	1785
2	1567	1639
done	5000	1631

prune612.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.8b	(/ (* t a) c)
5.6b	(/ b (* z c))
10.7b	(/ (* x y) (* z c))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

53.0ms	(* 9.0 (/ (* x y) (* z c)))
11.0ms	(/ (* t a) c)
9.0ms	(/ b (* z c))
23.0ms	(/ (* x y) (* z c))

series205.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 9.0 (/ (* x y) (* z c)))
36.0ms	(/ (* t a) c)
36.0ms	(/ b (* z c))
52.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: 2 (365.0ms)

Iter	Nodes	Cost
0	160	1082
1	402	1049
2	1864	811
done	5000	811

prune473.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* (/ x z) (/ y c)))
4.8b	(/ (* t a) c)
5.6b	(/ b (* z c))
7.5b	(* (/ x z) (/ y c))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
35×	`add-sqr-sqrt`
28×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-l`
15×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
12×	`cbrt-undiv` `div-exp`
11×	`pow1`
5×	`associate-*r/`
4×	`pow-prod-down` `associate-/r` `div-inv` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`

Counts

4 → 119

Calls

4 calls:

66.0ms	(* 9.0 (* (/ x z) (/ y c)))
11.0ms	(/ (* t a) c)
9.0ms	(/ b (* z c))
50.0ms	(* (/ x z) (/ y c))

series155.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 9.0 (* (/ x z) (/ y c)))
37.0ms	(/ (* t a) c)
23.0ms	(/ b (* z c))
42.0ms	(* (/ x z) (/ y c))

simplify1.6s

Counts

131 → 131

Iterations

Useful iterations: 2 (372.0ms)

Iter	Nodes	Cost
0	219	1342
1	578	1297
2	2161	1057
done	5001	1057

prune670.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y c)))
4.8b	(/ (* t a) c)
4.8b	(* (/ (cbrt x) z) (/ y c))
5.6b	(/ b (* z c))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-exp-log`
77×	`add-cbrt-cube`
61×	`prod-exp`
49×	`add-sqr-sqrt`
48×	`div-exp`
43×	`times-frac`
38×	`cbrt-unprod`
30×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity`
29×	`associate-l`
14×	`associate-r`
11×	`pow1` `cbrt-prod`
10×	`1-exp`
6×	`frac-times` `associate-*r/` `unswap-sqr`
5×	`div-inv`
4×	`pow-prod-down` `associate-l/` `associate-/r` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`

Counts

4 → 168

Calls

4 calls:

89.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y c)))
11.0ms	(/ (* t a) c)
39.0ms	(* (/ (cbrt x) z) (/ y c))
17.0ms	(/ b (* z c))

series32.0ms

Calls

1 calls:

32.0ms

(/ b (* z c))