Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

438×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	55	7
2	101	7
3	182	7
4	335	7
5	731	7
6	1828	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
4.2b	(- (+ (* x x) (* y y)) (* z z))
29.0b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

7.0ms	(+ (* x x) (* y y))
36.0ms	(- (+ (* x x) (* y y)) (* z z))
69.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* x x) (* y y))
39.0ms	(- (+ (* x x) (* y y)) (* z z))
69.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	337	520
1	1492	454
2	5001	446

prune140.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 10.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x 2) y))
0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.1b	(/ (pow z 2) y)
9.7b	(/ (pow x 2) y)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`add-cube-cbrt`
25×	`unpow-prod-down`
16×	`associate-/l*`
14×	`add-exp-log`
11×	`add-log-exp`
9×	`unpow2` `sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

17.0ms	(+ y (/ (pow x 2) y))
154.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.0ms	(/ (pow z 2) y)
8.0ms	(/ (pow x 2) y)

series97.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ (pow x 2) y))
35.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
16.0ms	(/ (pow z 2) y)
19.0ms	(/ (pow x 2) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	419	838
1	1459	771
2	5001	759

prune312.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (pow x 2) y))
0.0b	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.2b	(* z (/ z y))
9.7b	(/ (pow x 2) y)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down`
11×	`add-cbrt-cube` `add-log-exp`
8×	`associate-/l*`
6×	`pow1`
4×	`div-exp` `unpow2` `sqr-pow`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `flip3-+` `diff-log` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `pow-prod-down` `pow-exp` `associate--l+` `clear-num` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

16.0ms	(+ y (/ (pow x 2) y))
143.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
12.0ms	(* z (/ z y))
8.0ms	(/ (pow x 2) y)

series96.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ (pow x 2) y))
35.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
19.0ms	(* z (/ z y))
17.0ms	(/ (pow x 2) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	428	638
1	1829	584
2	5001	581

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ y (* x (/ x y)))
27.0ms	(- (+ y (* x (/ x y))) (* z (/ z y)))
13.0ms	(* x (/ x y))
15.0ms	(* z (/ z y))

series99.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (* x (/ x y)))
35.0ms	(- (+ y (* x (/ x y))) (* z (/ z y)))
17.0ms	(* x (/ x y))
20.0ms	(* z (/ z y))

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	439	527
1	2154	482
2	5002	482

prune196.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample780.0ms

Algorithm

intervals

Results

414.0ms

13577×

body

valid