Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

7.0ms	(* (- y x) z)
3.0ms	(+ x (* (- y x) z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- y x) z)
32.0ms	(+ x (* (- y x) z))

simplify63.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y x))
0.0b	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
0.1b	(* (sqrt (- y x)) z)
0.2b	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- y x))
3.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
7.0ms	(* (sqrt (- y x)) z)
12.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series198.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (- y x))
30.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
80.0ms	(* (sqrt (- y x)) z)
28.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify38.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	365	624
1	1224	529
2	5002	516

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (- y x)))
0.1b	(* (sqrt (- y x)) z)
0.1b	(* (sqrt (sqrt (- y x))) (* (sqrt (- y x)) z))
0.1b	(* (sqrt (sqrt (- y x))) (* (sqrt (sqrt (- y x))) (* (sqrt (- y x)) z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div`
46×	`sqrt-prod`
36×	`associate-*l/`
35×	`flip3--` `flip--`
32×	`frac-times`
30×	`associate-l`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*r/`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`sqrt-pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

4.0ms	(sqrt (sqrt (- y x)))
7.0ms	(* (sqrt (- y x)) z)
17.0ms	(* (sqrt (sqrt (- y x))) (* (sqrt (- y x)) z))
22.0ms	(* (sqrt (sqrt (- y x))) (* (sqrt (sqrt (- y x))) (* (sqrt (- y x)) z)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(sqrt (sqrt (- y x)))
84.0ms	(* (sqrt (- y x)) z)
323.0ms	(* (sqrt (sqrt (- y x))) (* (sqrt (- y x)) z))
28.0ms	(* (sqrt (sqrt (- y x))) (* (sqrt (sqrt (- y x))) (* (sqrt (- y x)) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	596	1550
1	2038	1309
2	5001	1209

prune376.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* x (+ x y)) (pow y 2))
2.0b	(- (pow y 3) (pow x 3))
7.3b	(* (- (pow y 3) (pow x 3)) z)
35.2b	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* x (+ x y)) (pow y 2)))

rewrite62.0ms

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

Counts

4 → 114

Calls

4 calls:

8.0ms	(+ (* x (+ x y)) (pow y 2))
11.0ms	(- (pow y 3) (pow x 3))
17.0ms	(* (- (pow y 3) (pow x 3)) z)
22.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* x (+ x y)) (pow y 2)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* x (+ x y)) (pow y 2))
52.0ms	(- (pow y 3) (pow x 3))
60.0ms	(* (- (pow y 3) (pow x 3)) z)
76.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* x (+ x y)) (pow y 2)))

simplify60.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	419	926
1	1954	824
2	5002	824

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

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	8	3
1	8	3

end0.0ms

sample452.0ms

Algorithm

intervals

Results

225.0ms

10079×

body

valid