Details

sample20.0ms

Algorithm

intervals

Results

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

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1355	7
7	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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 → 62

Calls

2 calls:

16.0ms	(* (- x y) (+ x y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- x y) (+ x y))
66.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	392	500
1	2302	438
2	5002	431

prune149.0ms

Pruning

4 alts after pruning (4 fresh and 0 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

prune4.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) (+ x y))
0.0b	(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
21.1b	(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`associate-/r/`
35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-exp-log` `add-cube-cbrt`
24×	`frac-times`
19×	`flip3-+` `add-cbrt-cube` `flip-+`
18×	`flip3--` `flip--`
16×	`associate-/r*`
14×	`div-exp`
12×	`associate-r/` `associate-l/`
7×	`cbrt-undiv`
6×	`pow1` `div-inv` `associate-/l*`
5×	`associate-l` `prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

3 → 150

Calls

3 calls:

16.0ms	(* (- x y) (+ x y))
19.0ms	(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
17.0ms	(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- x y) (+ x y))
66.0ms	(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
67.0ms	(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	627	1753
1	3803	1557
2	5002	1476

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (* x x) (* y y)) (+ x y)))
0.2b	(* (- x y) (/ 1 (/ (+ (* x x) (* y y)) (+ x y))))
20.7b	(/ (+ (* x x) (* y y)) (+ x y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
161×	`*-un-lft-identity`
123×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
59×	`associate-r`
35×	`add-exp-log`
25×	`distribute-lft-out`
22×	`associate-/r*`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3-+` `flip-+`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod` `add-log-exp`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--` `associate-/l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 225

Calls

3 calls:

12.0ms	(/ 1 (/ (+ (* x x) (* y y)) (+ x y)))
48.0ms	(* (- x y) (/ 1 (/ (+ (* x x) (* y y)) (+ x y))))
11.0ms	(/ (+ (* x x) (* y y)) (+ x y))

series180.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 1 (/ (+ (* x x) (* y y)) (+ x y)))
67.0ms	(* (- x y) (/ 1 (/ (+ (* x x) (* y y)) (+ x y))))
65.0ms	(/ (+ (* x x) (* y y)) (+ x y))

simplify98.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	698	2478
1	3940	2227
2	5001	2059

prune361.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes63.0ms

Accuracy

78.3% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 21.4b

bsearch82.0ms

Steps

Iters	Range	Point
6	3.4015986104447535e-172	3.288929345092639e-171	3.235976480555956e-171
9	-9.30186565551967e-162	-7.297363866789588e-167	-1.8998575324277394e-162
8	-3.7610221637517924e+157	-2.8314860341645623e+153	-9.561120846059961e+153

Iters

Range

Point

3.4015986104447535e-172

3.288929345092639e-171

3.235976480555956e-171

-9.30186565551967e-162

-7.297363866789588e-167

-1.8998575324277394e-162

-3.7610221637517924e+157

-2.8314860341645623e+153

-9.561120846059961e+153

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	17
1	31	17
2	31	17

end0.0ms

sample464.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
109.0ms	8000×	pre	80	true