Details

sample36.0ms

Algorithm

intervals

Results

21.0ms

375×

body

valid

simplify24.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	80	9
4	251	9
5	528	9
6	909	9
7	1573	9
8	2059	9
9	2666	9
10	2813	9
11	3145	9
12	3217	9
13	3455	9
14	3607	9
15	3932	9
16	3956	9
done	3956	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

9.0ms	(+ x (* (- y z) (- t x)))
57.0ms	(* (- y z) (- t x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (* (- y z) (- t x)))
54.0ms	(* (- y z) (- t x))

simplify982.0ms

Counts

55 → 55

Iterations

Useful iterations: done (980.0ms)

Iter	Nodes	Cost
0	110	687
1	291	651
2	1093	611
done	5000	609

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y z) t))
0.0b	(* (- y z) (- x))
0.0b	(* (- y z) t)
0.0b	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-r`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
4×	`flip3--` `flip3-+` `frac-add` `sum-log` `flip--` `flip-+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+l+` `unsub-neg`

Counts

4 → 82

Calls

4 calls:

13.0ms	(+ x (* (- y z) t))
35.0ms	(* (- y z) (- x))
45.0ms	(* (- y z) t)
45.0ms	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ x (* (- y z) t))
38.0ms	(* (- y z) (- x))
55.0ms	(* (- y z) t)
108.0ms	(+ (+ x (* (- y z) t)) (* (- y z) (- x)))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	156	1229
1	448	1057
2	1861	997
done	5000	972

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z (- x t)) (* x y))
0.0b	(* z (- x t))
0.0b	(+ x (- (* z (- x t)) (* x y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
3×	`associate-l`
2×	`flip3--` `diff-log` `associate-*r/` `sum-log` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

17.0ms	(- (* z (- x t)) (* x y))
27.0ms	(* z (- x t))
44.0ms	(+ x (- (* z (- x t)) (* x y)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* z (- x t)) (* x y))
41.0ms	(* z (- x t))
59.0ms	(+ x (- (* z (- x t)) (* x y)))

simplify2.2s

Counts

71 → 71

Iterations

Useful iterations: 3 (741.0ms)

Iter	Nodes	Cost
0	102	775
1	251	710
2	763	676
3	3636	674
done	5000	674

prune170.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y z))
0.0b	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
0.2b	(* (sqrt (- y z)) (- t x))
0.2b	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

44×	`sqrt-div`
34×	`flip3--` `flip--`
32×	`frac-times`
23×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
16×	`associate-r/` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `sub-neg` `associate-*l/`
8×	`associate-+r+`
6×	`associate-r` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 131

Calls

4 calls:

9.0ms	(sqrt (- y z))
19.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
57.0ms	(* (sqrt (- y z)) (- t x))
120.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

series393.0ms

Calls

3 calls:

70.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
215.0ms	(* (sqrt (- y z)) (- t x))
59.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))