Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	8
4	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 146

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
58.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
37.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
40.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
163.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	934	1519
1	5002	1370

prune303.0ms

Filtered

155 candidates to 94 candidates (60.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.2b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.8b	(/ x (* (+ x y) (+ x y)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 178

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
20.0ms	(/ y (+ (+ x y) 1.0))
72.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
7.0ms	(/ x (* (+ x y) (+ x y)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
164.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
68.0ms	(/ x (* (+ x y) (+ x y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	677	1321
1	3704	1174
2	5001	1163

prune337.0ms

Filtered

190 candidates to 120 candidates (63.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.2b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 318

Calls

4 calls:

17.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
15.0ms	(/ (/ x (+ x y)) (+ x y))
97.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ y (+ (+ x y) 1.0))
41.0ms	(/ x (+ x y))
65.0ms	(/ (/ x (+ x y)) (+ x y))
349.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify113.0ms

Algorithm

egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	998	2781
1	4636	2579
2	5001	2579

prune591.0ms

Filtered

330 candidates to 202 candidates (61.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ x y) 1.0))
0.4b	(cbrt (+ (+ x y) 1.0))
0.4b	(cbrt (+ (+ x y) 1.0))
0.4b	(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

9.0ms	(cbrt (+ (+ x y) 1.0))
8.0ms	(cbrt (+ (+ x y) 1.0))
8.0ms	(cbrt (+ (+ x y) 1.0))
74.0ms	(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (+ x y) 1.0))
99.0ms	(cbrt (+ (+ x y) 1.0))
98.0ms	(cbrt (+ (+ x y) 1.0))
95.0ms	(* (cbrt (+ (+ x y) 1.0)) (cbrt (+ (+ x y) 1.0)))

simplify132.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	302	1073
1	1000	1010
2	4632	882
3	5001	882

prune308.0ms

Filtered

125 candidates to 83 candidates (66.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample339.0ms

Algorithm

intervals

Results

215.0ms

8000×

body

valid