Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

280×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	8	2
2	8	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite4.0ms

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:

3.0ms

(- (* x y) x)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- (* x y) x)

simplify167.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	60	59
1	169	52
2	519	51
3	1340	51
4	4984	51
5	5001	51

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.2b	(* y (* x y))
3.6b	(* x (- (* y (* x y)) x))
30.5b	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(+ (* x y) x)
5.0ms	(* y (* x y))
8.0ms	(* x (- (* y (* x y)) x))
11.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x y) x)
20.0ms	(* y (* x y))
85.0ms	(* x (- (* y (* x y)) x))
124.0ms	(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	331	544
1	1728	466
2	5002	457

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) x)
0.2b	(* y (* x y))
11.6b	(/ (- (* y (* x y)) x) (+ (* x y) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
5×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv`

Counts

3 → 61

Calls

3 calls:

4.0ms	(+ (* x y) x)
5.0ms	(* y (* x y))
10.0ms	(/ (- (* y (* x y)) x) (+ (* x y) x))

series83.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) x)
16.0ms	(* y (* x y))
32.0ms	(/ (- (* y (* x y)) x) (+ (* x y) x))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	270	466
1	982	422
2	5002	418

prune126.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	8	2

end0.0ms

sample280.0ms

Algorithm

intervals

Results

140.0ms

9097×

body

valid