Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x y) (+ x y))
21.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`add-cube-cbrt` `flip3--` `flip--`
5×	`associate-l`
4×	`pow1` `associate-r/` `associate-r` `associate-l/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 66

Calls

2 calls:

17.0ms	(* (- x y) (+ x y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- x y) (+ x y))
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	404	501
1	2379	440
2	5001	433

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) (+ x y))
0.0b	(expm1 (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
1.0b	(log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
21.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`pow1` `flip3--` `flip--`
5×	`expm1-log1p-u` `associate-l`
4×	`associate-r/` `associate-r` `associate-l/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`distribute-rgt-in` `log1p-udef` `expm1-log1p` `frac-2neg` `distribute-lft-in` `log1p-expm1` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `expm1-udef` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

17.0ms	(* (- x y) (+ x y))
0.0ms	(expm1 (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
0.0ms	(log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- x y) (+ x y))
153.0ms	(expm1 (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
122.0ms	(log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	449	735
1	2466	641
2	5002	631

prune264.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
20.7b	(/ (+ (* x x) (* y y)) (+ x y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 170

Calls

2 calls:

18.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
11.0ms	(/ (+ (* x x) (* y y)) (+ x y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
63.0ms	(/ (+ (* x x) (* y y)) (+ x y))

simplify87.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	690	2113
1	2953	1990
2	5002	1984

prune326.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

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	15	8
1	17	8
2	17	8

end0.0ms

sample473.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
110.0ms	8000×	pre	80	true