Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	138	5
3	317	5
4	611	5
5	1239	5
6	1919	5
7	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

46.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify95.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	187	192
1	790	156
2	4301	156
3	5001	156

prune51.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

26.0ms	(* 4.0 (/ (- x y) z))
17.0ms	(/ (- x y) z)

series72.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* 4.0 (/ (- x y) z))
27.0ms	(/ (- x y) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	275	397
1	1205	366
2	5002	366

prune152.0ms

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

74.0ms	(* 4.0 (- (/ x z) (/ y z)))
26.0ms	(- (/ x z) (/ y z))

series75.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* 4.0 (- (/ x z) (/ y z)))
26.0ms	(- (/ x z) (/ y z))

simplify81.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	235	352
1	912	325
2	3828	325
3	5001	325

prune123.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample520.0ms

Algorithm

intervals

Results

250.0ms

10195×

body

valid