Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	189×	body	80	valid
2.0ms	17×	body	1280	valid
2.0ms	19×	body	640	valid
1.0ms	21×	body	320	valid
0.0ms	10×	body	160	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	74	5
3	128	5
4	252	5
5	374	5
6	514	5
7	642	5
8	777	5
9	1010	5
10	1686	5
11	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.3b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.7b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`times-frac` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

23.0ms	(* (- 1.0 x) y)
18.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
22.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (- 1.0 x) y)
69.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
44.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	338	401
1	1456	359
2	5001	359

prune130.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ y 1.0) y)
0.1b	(/ (- 1.0 x) (/ (+ y 1.0) y))
3.3b	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

167×	`times-frac`
157×	`*-un-lft-identity`
120×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
22×	`distribute-lft-out`
20×	`difference-of-squares`
19×	`associate-/r*`
18×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 169

Calls

3 calls:

20.0ms	(/ (+ y 1.0) y)
25.0ms	(/ (- 1.0 x) (/ (+ y 1.0) y))
49.0ms	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (+ y 1.0) y)
47.0ms	(/ (- 1.0 x) (/ (+ y 1.0) y))
67.0ms	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	689	1514
1	2646	1460
2	5002	1460

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(/ 1 (+ y 1.0))
5.0b	(- 1.0 (* (/ 1 (+ y 1.0)) (* (- 1.0 x) y)))
9.8b	(* (/ 1 (+ y 1.0)) (* (- 1.0 x) y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
32×	`add-exp-log`
27×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt` `associate-l`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
7×	`associate-*l/` `cbrt-unprod` `distribute-lft-out`
6×	`div-exp` `add-log-exp`
4×	`flip3--` `associate-r` `pow-prod-down` `associate-/r*` `associate-/r/` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

20.0ms	(* (- 1.0 x) y)
12.0ms	(/ 1 (+ y 1.0))
8.0ms	(- 1.0 (* (/ 1 (+ y 1.0)) (* (- 1.0 x) y)))
54.0ms	(* (/ 1 (+ y 1.0)) (* (- 1.0 x) y))

series173.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- 1.0 x) y)
24.0ms	(/ 1 (+ y 1.0))
81.0ms	(- 1.0 (* (/ 1 (+ y 1.0)) (* (- 1.0 x) y)))
38.0ms	(* (/ 1 (+ y 1.0)) (* (- 1.0 x) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	503	734
1	2563	633
2	5001	601

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
0.0b	(- (/ 1 y) (/ x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`times-frac`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv` `distribute-lft-out--`
4×	`add-cube-cbrt` `associate-+l+`
3×	`sub-neg` `distribute-rgt-out--`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
1×	`+-commutative` `flip3--` `flip3-+` `diff-log` `sum-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 43

Calls

2 calls:

30.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
24.0ms	(- (/ 1 y) (/ x y))

series55.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
21.0ms	(- (/ 1 y) (/ x y))

simplify75.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	224	317
1	627	291
2	2889	282
3	5001	274

prune71.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.6b

bsearch57.0ms

Steps

Iters	Range		Point
9	6031.575547282502	2908035933644.0933	35775621.88177118
7	-1873866393.190807	-8856295.28966565	-64063762.17706988

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample460.0ms

Algorithm

intervals

Results

134.0ms	6069×	body	80	valid
75.0ms	779×	body	640	valid
36.0ms	350×	body	1280	valid
35.0ms	516×	body	320	valid
15.0ms	286×	body	160	valid