Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

315×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 7 (363.0ms)

Iter	Nodes	Cost
0	12	13
1	22	13
2	46	13
3	109	13
4	232	13
5	364	13
6	485	13
7	648	11
8	1081	11
9	2451	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
0.0b	(/ (- x z) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

30.0ms	(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
16.0ms	(/ (- x z) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
30.0ms	(/ (- x z) y)

simplify1.3s

Counts

55 → 55

Iterations

Useful iterations: 3 (550.0ms)

Iter	Nodes	Cost
0	105	660
1	255	628
2	691	586
3	2481	574
done	5001	574

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (- x z) y) 4.0)
0.0b	(/ (- x z) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

31.0ms	(* (/ (- x z) y) 4.0)
16.0ms	(/ (- x z) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (/ (- x z) y) 4.0)
33.0ms	(/ (- x z) y)

simplify2.8s

Counts

82 → 82

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	115	813
1	277	775
2	787	711
3	3051	711
done	5000	711

prune235.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- (/ x y) (/ z y)) 4.0)
0.0b	(- (/ x y) (/ z y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-l`
8×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

154.0ms	(* (- (/ x y) (/ z y)) 4.0)
38.0ms	(- (/ x y) (/ z y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (- (/ x y) (/ z y)) 4.0)
35.0ms	(- (/ x y) (/ z y))

simplify2.9s

Counts

60 → 60

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	92	704
1	200	690
2	558	636
3	1793	636
done	5000	598

prune181.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

880.0ms

10146×

body

valid