Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 20.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
20.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

3.0ms	(+ (* x x) (* y y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* y y))
65.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	322	380
1	1875	324
2	5001	308

prune134.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(hypot x y)
0.0b	(* (hypot x y) (hypot x y))
20.1b	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
6×	`hypot-udef`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip3-+` `swap-sqr` `associate-r` `associate-l` `flip--` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `sqrt-unprod` `pow-prod-down` `clear-num` `associate-/r` `rem-square-sqrt` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

0.0ms	(hypot x y)
0.0ms	(hypot x y)
3.0ms	(* (hypot x y) (hypot x y))
10.0ms	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(hypot x y)
46.0ms	(hypot x y)
66.0ms	(* (hypot x y) (hypot x y))
92.0ms	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	323	491
1	1937	386
2	5002	382

prune189.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`times-frac`
40×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `hypot-udef` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 146

Calls

4 calls:

0.0ms	(hypot x y)
8.0ms	(/ (+ x y) (hypot x y))
8.0ms	(/ (- x y) (hypot x y))
31.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(hypot x y)
277.0ms	(/ (+ x y) (hypot x y))
91.0ms	(/ (- x y) (hypot x y))
92.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	491	1105
1	2109	999
2	5003	997

prune306.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (hypot x y))
0.0b	(log (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))))
0.0b	(/ (- x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `unswap-sqr`
3×	`log-prod` `log-pow`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `exp-prod` `flip3--` `exp-to-pow` `flip3-+` `div-sub` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 152

Calls

4 calls:

7.0ms	(/ (+ x y) (hypot x y))
2.0ms	(log (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))))
8.0ms	(/ (- x y) (hypot x y))
27.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (+ x y) (hypot x y))
89.0ms	(log (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))))
88.0ms	(/ (- x y) (hypot x y))
90.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	504	1245
1	2223	1117
2	5002	1115

prune386.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes38.0ms

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	9
1	12	9

end0.0ms

sample489.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
116.0ms	8000×	pre	80	true