Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

344×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

22.0ms	(- (+ x y) z)
40.0ms	(/ (- (+ x y) z) (* t 2.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (+ x y) z)
41.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	292	450
1	1124	326
2	5002	326

prune123.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
63×	`*-un-lft-identity`
56×	`prod-diff`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
19×	`div-inv`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 112

Calls

2 calls:

8.0ms	(/ (+ x y) (* t 2.0))
34.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ x y) (* t 2.0))
38.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	476	1714
1	1549	1268
2	5001	1158

prune206.0ms

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 (+ x y))
0.0b	(sqrt (+ x y))
0.0b	(/ (fma (sqrt (+ x y)) (sqrt (+ x y)) (- z)) (* t 2.0))
0.2b	(fma (sqrt (+ x y)) (sqrt (+ x y)) (- z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `sqrt-prod`
6×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `flip-+` `hypot-def` `distribute-lft-out`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 71

Calls

4 calls:

4.0ms	(sqrt (+ x y))
4.0ms	(sqrt (+ x y))
3.0ms	(/ (fma (sqrt (+ x y)) (sqrt (+ x y)) (- z)) (* t 2.0))
0.0ms	(fma (sqrt (+ x y)) (sqrt (+ x y)) (- z))

series279.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ x y))
33.0ms	(sqrt (+ x y))
95.0ms	(/ (fma (sqrt (+ x y)) (sqrt (+ x y)) (- z)) (* t 2.0))
117.0ms	(fma (sqrt (+ x y)) (sqrt (+ x y)) (- z))

simplify78.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	286	585
1	975	450
2	4220	433
3	5001	433

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ (/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z)) (* t 2.0))
5.3b	(- (* (+ x y) (+ x y)) (* z z))
30.8b	(/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
86×	`times-frac`
45×	`distribute-lft-out`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
30×	`associate-/l*`
20×	`add-exp-log` `add-cbrt-cube`
17×	`difference-of-squares`
11×	`pow1`
9×	`flip3-+` `flip-+`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `associate-/r*` `associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-l` `log1p-expm1-u` `div-inv`
3×	`div-sub` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `clear-num` `flip--`
1×	`pow2` `sub-neg` `pow-plus` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 184

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
47.0ms	(/ (/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z)) (* t 2.0))
9.0ms	(- (* (+ x y) (+ x y)) (* z z))
35.0ms	(/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z))

series202.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
76.0ms	(/ (/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z)) (* t 2.0))
56.0ms	(- (* (+ x y) (+ x y)) (* z z))
55.0ms	(/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z))

simplify107.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	738	2047
1	3848	1850
2	5002	1847

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes104.0ms

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	12	6
1	12	6

end0.0ms

sample546.0ms

Algorithm

intervals

Results

284.0ms

10832×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4