Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify37.0ms

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)

rewrite11.0ms

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:

4.0ms	(+ (* x y) (* (- x 1.0) z))
6.0ms	(* (- x 1.0) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) (* (- x 1.0) z))
29.0ms	(* (- x 1.0) z)

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
0.0b	(- (* x x) (* 1.0 1.0))
2.9b	(* (- (* x x) (* 1.0 1.0)) z)
6.4b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.0ms	(- (* x x) (* 1.0 1.0))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series195.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
39.0ms	(- (* x x) (* 1.0 1.0))
45.0ms	(* (- (* x x) (* 1.0 1.0)) z)
55.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	380	611
1	1779	535
2	5001	526

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 3) (pow 1.0 3))
0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
2.8b	(* (- (pow x 3) (pow 1.0 3)) z)
10.9b	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

14.0ms	(- (pow x 3) (pow 1.0 3))
6.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
16.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
19.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (pow x 3) (pow 1.0 3))
19.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
39.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
84.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	439	990
1	2070	874
2	5001	869

prune363.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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	11	4
1	11	4

end0.0ms

sample435.0ms

Algorithm

intervals

Results

238.0ms

10100×

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