Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

22.0ms

(/ (- x y) (- 2.0 (+ x y)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify134.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	283	498
1	886	475
2	4321	474
3	5001	474

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.4b	(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
16×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`log1p-expm1-u`
3×	`pow1` `expm1-log1p-u` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 82

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
24.0ms	(/ (- x y) (- 2.0 (+ x y)))
0.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

series255.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
48.0ms	(/ (- x y) (- 2.0 (+ x y)))
104.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify150.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	338	687
1	1017	638
2	4745	631
3	5001	631

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
0.0b	(/ (- x y) (- 2.0 (+ x y)))
3.2b	(log1p (/ (- x y) (- 2.0 (+ x y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
16×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`expm1-log1p-u`
3×	`pow1` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 82

Calls

3 calls:

0.0ms	(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
22.0ms	(/ (- x y) (- 2.0 (+ x y)))
0.0ms	(log1p (/ (- x y) (- 2.0 (+ x y))))

series336.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(expm1 (log1p (/ (- x y) (- 2.0 (+ x y)))))
49.0ms	(/ (- x y) (- 2.0 (+ x y)))
121.0ms	(log1p (/ (- x y) (- 2.0 (+ x y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	435	735
1	1330	686
2	5001	677

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.1b	(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
3.2b	(log1p (* (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

602×	`*-un-lft-identity`
336×	`cbrt-prod`
294×	`times-frac`
284×	`add-sqr-sqrt`
196×	`distribute-lft-out--`
96×	`add-cube-cbrt`
93×	`swap-sqr`
82×	`difference-of-squares`
62×	`distribute-lft-out`
39×	`associate-r` `associate-l`
12×	`associate-/r/`
11×	`pow1`
9×	`unswap-sqr`
8×	`pow1/3`
6×	`add-exp-log` `cbrt-div` `flip3--` `flip--` `div-inv`
5×	`expm1-log1p-u`
4×	`add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `log1p-udef` `pow-plus` `log1p-expm1` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 308

Calls

4 calls:

11.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
10.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
113.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.0ms	(log1p (* (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))

series589.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
169.0ms	(cbrt (/ (- x y) (- 2.0 (+ x y))))
127.0ms	(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
121.0ms	(log1p (* (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))) (cbrt (/ (- x y) (- 2.0 (+ x y))))))

simplify105.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	602	4876
1	1916	4731
2	5002	4334

prune744.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample306.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid