Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	41×	body	1280	valid
10.0ms	41×	body	640	valid
7.0ms	162×	body	80	valid
5.0ms	33×	body	320	valid
3.0ms	109×	body	80	nan
2.0ms	15×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
6.1b	(pow (/ x (+ x y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `pow-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 70

Calls

2 calls:

11.0ms	(/ x (+ x y))
14.0ms	(pow (/ x (+ x y)) x)

series269.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (+ x y))
226.0ms	(pow (/ x (+ x y)) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	320	413
1	1304	399
2	5002	398

prune163.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/ (exp (* -1 y)) x)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (exp (* -1 y)) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune75.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (* x (exp y)))
0.0b	(* x (exp y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`div-exp` `prod-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `pow-flip` `1-exp` `pow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `div-inv` `inv-pow` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

18.0ms	(/ 1 (* x (exp y)))
12.0ms	(* x (exp y))

series48.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (* x (exp y)))
23.0ms	(* x (exp y))

simplify97.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	179	216
1	804	181
2	4323	175
3	5002	175

prune89.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.0b	(pow (/ x (cbrt (+ x y))) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
27×	`unpow-prod-down`
24×	`cbrt-prod`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
8×	`cbrt-div`
7×	`add-exp-log`
6×	`distribute-lft-out`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
16.0ms	(pow (/ x (cbrt (+ x y))) x)

series500.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))
129.0ms	(cbrt (+ x y))
107.0ms	(pow (/ x (cbrt (+ x y))) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	513	774
1	2015	743
2	5001	713

prune352.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 12.7b

bsearch76.0ms

Steps

Iters	Range		Point
11	8.75520329375536e-16	53435221.69579046	7.905402982476204
5	-0.007402571928667657	-0.002950799818357885	-0.007318084080355909

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	26
1	37	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

642.0ms	1499×	body	1280	valid
358.0ms	1445×	body	640	valid
203.0ms	4889×	body	80	valid
138.0ms	828×	body	320	valid
89.0ms	3058×	body	80	nan
49.0ms	501×	body	160	valid