Details

sample25.0ms

Algorithm

intervals

Results

15.0ms

319×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ (* x y) (* (- x 1.0) z))
10.0ms	(* (- x 1.0) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* (- x 1.0) z))
29.0ms	(* (- x 1.0) z)

simplify101.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.0b	(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
3.1b	(* (- (pow x 3) (pow 1.0 3)) z)
11.9b	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-l`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*l/` `sum-log`
3×	`flip3-+` `times-frac` `associate-r` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/`
1×	`difference-cubes` `associate-+r+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
25.0ms	(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
59.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
38.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
87.0ms	(+ (* x y) (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
40.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
81.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify74.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	502	945
1	2349	831
2	5001	825

prune289.0ms

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	(- (* x z) z)
0.0b	(+ (* x y) (* 1.0 (- (* x z) z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`associate-+r+`
3×	`sub-neg` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-in` `add-cbrt-cube`
1×	`+-commutative` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

2 → 28

Calls

2 calls:

3.0ms	(- (* x z) z)
3.0ms	(+ (* x y) (* 1.0 (- (* x z) z)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (* x z) z)
35.0ms	(+ (* x y) (* 1.0 (- (* x z) z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	173	196
1	555	172
2	2340	170
3	5001	170

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (* x z) z)) (cbrt (- (* x z) z)))
0.6b	(cbrt (- (* x z) z))
0.6b	(cbrt (- (* x z) z))
0.6b	(cbrt (- (* x z) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`distribute-rgt-out--` `swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

22.0ms	(* (cbrt (- (* x z) z)) (cbrt (- (* x z) z)))
2.0ms	(cbrt (- (* x z) z))
2.0ms	(cbrt (- (* x z) z))
3.0ms	(cbrt (- (* x z) z))

series226.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (cbrt (- (* x z) z)) (cbrt (- (* x z) z)))
53.0ms	(cbrt (- (* x z) z))
58.0ms	(cbrt (- (* x z) z))
57.0ms	(cbrt (- (* x z) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	361	1082
1	1272	1025
2	5002	938

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample710.0ms

Algorithm

intervals

Results

497.0ms

10195×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4