Details

sample77.0ms

Algorithm

intervals

Results

48.0ms

391×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 6 (4.0s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	319	18
4	853	18
5	1819	18
6	3993	16
done	5000	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.1b	(fma y (* x 9.0) b)
3.6b	(/ (fma y (* x 9.0) b) z)
8.0b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`fma-neg` `prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 111

Calls

4 calls:

44.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
1.0ms	(fma y (* x 9.0) b)
11.0ms	(/ (fma y (* x 9.0) b) z)
116.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series664.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
49.0ms	(fma y (* x 9.0) b)
82.0ms	(/ (fma y (* x 9.0) b) z)
254.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	170	2305
1	379	2243
2	1267	2063
done	5000	1986

prune726.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.8b	(/ (* t a) c)
5.6b	(/ b (* z c))
10.7b	(/ (* x y) (* z c))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
7×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
1×	`fma-udef`

Counts

4 → 79

Calls

4 calls:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
20.0ms	(/ (* t a) c)
15.0ms	(/ b (* z c))
22.0ms	(/ (* x y) (* z c))

series275.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
42.0ms	(/ (* t a) c)
43.0ms	(/ b (* z c))
50.0ms	(/ (* x y) (* z c))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	148	914
1	341	893
2	1523	735
done	5001	735

prune424.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (/ x z) (/ y c)) 9.0 (/ b (* z c)))
4.8b	(/ (* t a) c)
5.6b	(/ b (* z c))
7.5b	(* (/ x z) (/ y c))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`times-frac`
26×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r` `associate-l`
8×	`cbrt-undiv` `div-exp`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 108

Calls

4 calls:

0.0ms	(fma (* (/ x z) (/ y c)) 9.0 (/ b (* z c)))
19.0ms	(/ (* t a) c)
9.0ms	(/ b (* z c))
26.0ms	(* (/ x z) (/ y c))

series251.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma (* (/ x z) (/ y c)) 9.0 (/ b (* z c)))
50.0ms	(/ (* t a) c)
39.0ms	(/ b (* z c))
37.0ms	(* (/ x z) (/ y c))

simplify1.6s

Counts

120 → 120

Iterations

Useful iterations: 2 (351.0ms)

Iter	Nodes	Cost
0	208	1210
1	519	1175
2	1835	1015
done	5001	1015

prune784.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

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))

rewrite168.0ms

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×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `associate-/r` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`

Counts

4 → 176

Calls

4 calls:

78.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y c)))
12.0ms	(/ (* t a) c)
52.0ms	(* (/ (cbrt x) z) (/ y c))
17.0ms	(/ b (* z c))

series38.0ms

Calls

1 calls:

37.0ms

(/ b (* z c))