Details

sample273.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

12.0ms

(* (+ x y) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (+ x y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

2.6b	(- (* x x) (* y y))
7.7b	(* (- (* x x) (* y y)) z)
21.3b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

3.0ms	(- (* x x) (* y y))
10.0ms	(* (- (* x x) (* y y)) z)
10.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (* x x) (* y y))
41.0ms	(* (- (* x x) (* y y)) z)
54.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	302	480
1	1573	406
2	5001	397

prune134.0ms

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	(/ 1 (- x y))
2.6b	(- (* x x) (* y y))
7.7b	(* (- (* x x) (* y y)) z)
21.4b	(* (* (- (* x x) (* y y)) z) (/ 1 (- x y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
9×	`difference-of-squares`
8×	`associate-*l/`
7×	`cbrt-unprod` `distribute-lft-out--`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

5.0ms	(/ 1 (- x y))
3.0ms	(- (* x x) (* y y))
10.0ms	(* (- (* x x) (* y y)) z)
28.0ms	(* (* (- (* x x) (* y y)) z) (/ 1 (- x y)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- x y))
31.0ms	(- (* x x) (* y y))
44.0ms	(* (- (* x x) (* y y)) z)
57.0ms	(* (* (- (* x x) (* y y)) z) (/ 1 (- x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	457	895
1	2528	747
2	5001	703

prune229.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* x x) (* y y))
5.4b	(* (* (- (* x x) (* y y)) z) (sqrt (/ 1 (- x y))))
5.9b	(* (* (* (- (* x x) (* y y)) z) (sqrt (/ 1 (- x y)))) (sqrt (/ 1 (- x y))))
7.7b	(* (- (* x x) (* y y)) z)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

51×	`associate-r`
42×	`sqrt-prod`
40×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
30×	`times-frac`
26×	`add-cube-cbrt`
25×	`associate-*l/`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`sqrt-div`
11×	`frac-times`
10×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
8×	`difference-of-squares`
6×	`associate-l` `distribute-lft-out--` `add-log-exp`
4×	`associate-*r/` `associate-/r/`
3×	`*-commutative`
2×	`div-inv`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

3.0ms	(- (* x x) (* y y))
30.0ms	(* (* (- (* x x) (* y y)) z) (sqrt (/ 1 (- x y))))
86.0ms	(* (* (* (- (* x x) (* y y)) z) (sqrt (/ 1 (- x y)))) (sqrt (/ 1 (- x y))))
10.0ms	(* (- (* x x) (* y y)) z)

series389.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (* x x) (* y y))
266.0ms	(* (* (- (* x x) (* y y)) z) (sqrt (/ 1 (- x y))))
53.0ms	(* (* (* (- (* x x) (* y y)) z) (sqrt (/ 1 (- x y)))) (sqrt (/ 1 (- x y))))
40.0ms	(* (- (* x x) (* y y)) z)

simplify90.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	597	1476
1	3117	1253
2	5001	1192

prune328.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

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	7	2
1	7	2

end0.0ms

sample368.0ms

Algorithm

intervals

Results

171.0ms

10067×

body

valid