Details

sample43.0ms

Algorithm

intervals

Results

28.0ms

449×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	7
1	59	6
2	111	6
3	204	6
4	369	6
5	839	6
6	2168	6
7	5001	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
5.9b	(- (+ (* x x) (* y y)) (* z z))
30.2b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `diff-log` `div-exp` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `fma-def` `frac-2neg` `flip3-+` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv`

Counts

3 → 65

Calls

3 calls:

3.0ms	(+ (* x x) (* y y))
20.0ms	(- (+ (* x x) (* y y)) (* z z))
38.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x x) (* y y))
12.0ms	(- (+ (* x x) (* y y)) (* z z))
22.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	571
1	1599	486
2	5002	469

prune528.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
10.2b	(/ (pow x 2) y)
10.3b	(/ (pow z 2) y)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
148×	`times-frac`
138×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
112×	`prod-diff`
61×	`unpow-prod-down`
30×	`distribute-lft-out`
21×	`unpow2` `sqr-pow`
16×	`associate-/l*`
13×	`add-exp-log`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*` `div-inv`
5×	`difference-of-squares`
4×	`fma-neg`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `pow-exp` `clear-num` `frac-sub` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

3 → 243

Calls

3 calls:

161.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
4.0ms	(/ (pow x 2) y)
5.0ms	(/ (pow z 2) y)

series24.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
4.0ms	(/ (pow x 2) y)
7.0ms	(/ (pow z 2) y)

simplify111.0ms

Algorithm

egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	957	4506
1	3565	3066
2	5002	2874

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (* x (/ x y))) (/ (pow z 2) y))
0.1b	(* x (/ x y))
10.3b	(/ (pow z 2) y)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

119×	`add-sqr-sqrt`
110×	`times-frac`
104×	`*-un-lft-identity`
102×	`add-cube-cbrt`
84×	`prod-diff`
40×	`unpow-prod-down`
14×	`unpow2` `sqr-pow`
13×	`add-exp-log` `associate-r`
10×	`add-cbrt-cube`
8×	`associate-/l*` `add-log-exp`
5×	`pow1` `div-inv` `difference-of-squares`
4×	`div-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `pow-exp` `associate--l+` `clear-num` `sum-log` `-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

3 → 196

Calls

3 calls:

30.0ms	(- (+ y (* x (/ x y))) (/ (pow z 2) y))
10.0ms	(* x (/ x y))
5.0ms	(/ (pow z 2) y)

series20.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (+ y (* x (/ x y))) (/ (pow z 2) y))
3.0ms	(* x (/ x y))
4.0ms	(/ (pow z 2) y)

simplify120.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	985	3474
1	3614	2386
2	5002	2238

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u`
2×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `div-inv`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

3 → 92

Calls

3 calls:

16.0ms	(- (+ y (* x (/ x y))) (* (fabs z) (/ (fabs z) y)))
8.0ms	(* x (/ x y))
8.0ms	(* (fabs z) (/ (fabs z) y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (+ y (* x (/ x y))) (* (fabs z) (/ (fabs z) y)))
3.0ms	(* x (/ x y))
8.0ms	(* (fabs z) (/ (fabs z) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	463	691
1	2218	593
2	5002	580

prune730.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

868.0ms

13909×

body

valid