Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

289×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	8	5
done	8	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

16.0ms

(- (* x y) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(- (* x y) x)

simplify3.5s

Counts

15 → 15

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	26	128
1	61	125
2	168	111
3	480	109
4	1131	109
5	3592	109
done	5001	109

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* x (+ (* y y) (+ y 1))) x)
3.4b	(* x (+ (* y y) (+ y 1)))
3.7b	(- (pow (* x y) 3) (pow x 3))
40.8b	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
24×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqr-pow`
15×	`*-un-lft-identity`
13×	`times-frac` `associate-/l*`
11×	`pow1`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `associate-r/` `associate-r*` `add-log-exp`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `distribute-lft-out--`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

91.0ms	(* (* x (+ (* y y) (+ y 1))) x)
80.0ms	(* x (+ (* y y) (+ y 1)))
33.0ms	(- (pow (* x y) 3) (pow x 3))
139.0ms	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

series535.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* x (+ (* y y) (+ y 1))) x)
66.0ms	(* x (+ (* y y) (+ y 1)))
211.0ms	(- (pow (* x y) 3) (pow x 3))
196.0ms	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

simplify1.8s

Counts

124 → 124

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	182	2576
1	518	2424
2	2402	2116
done	5000	2112

prune443.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 1 (/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))) (+ (/ y 1) -1))
0.0b	(+ (* y y) (+ y 1))
3.4b	(* x (+ (* y y) (+ y 1)))
13.4b	(/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))

rewrite643.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
25×	`add-cbrt-cube`
17×	`prod-exp`
16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-r` `cbrt-unprod`
9×	`add-cube-cbrt` `associate-*r/` `add-log-exp`
6×	`flip3-+` `times-frac` `div-exp` `flip-+`
4×	`cbrt-undiv` `associate-l` `pow-prod-down` `associate-/r*`
3×	`difference-of-sqr--1` `1-exp` `sum-log` `distribute-lft-out`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-/r/` `*-commutative` `associate-/l/`
1×	`+-commutative` `associate-+r+` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

440.0ms	(* (* 1 (/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))) (+ (/ y 1) -1))
26.0ms	(+ (* y y) (+ y 1))
94.0ms	(* x (+ (* y y) (+ y 1)))
79.0ms	(/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))

series109.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* 1 (/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))) (+ (/ y 1) -1))
20.0ms	(+ (* y y) (+ y 1))
39.0ms	(* x (+ (* y y) (+ y 1)))
8.0ms	(/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))

simplify3.8s

Counts

110 → 110

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	191	2420
1	559	2150
2	2446	1516
done	5002	944

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (/ y 1) -1))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`associate-r`
6×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `difference-of-sqr--1` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`times-frac` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

73.0ms

(* x (+ (/ y 1) -1))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* x (+ (/ y 1) -1))

simplify4.4s

Counts

29 → 29

Iterations

Useful iterations: 3 (406.0ms)

Iter	Nodes	Cost
0	59	269
1	160	195
2	427	179
3	1308	175
4	4072	175
done	5000	175

prune90.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

Details

sample13.0ms

simplify3.0ms

prune2.0ms

localize16.0ms

rewrite17.0ms

series52.0ms

simplify3.5s

prune34.0ms

localize36.0ms

rewrite349.0ms

series535.0ms

simplify1.8s

prune443.0ms

localize29.0ms

rewrite643.0ms

series109.0ms

simplify3.8s

prune405.0ms

localize9.0ms

rewrite74.0ms

series42.0ms

simplify4.4s

prune90.0ms

regimes0.0ms