Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	200×	body	80	valid
2.0ms	26×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	11×	body	320	valid
1.0ms	11×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 19.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.0b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.2b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite30.0ms

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:

10.0ms	(* (- 1.0 x) y)
9.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- 1.0 x) y)
69.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
47.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1.0 x) (/ (+ y 1.0) y))
3.0b	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
139×	`*-un-lft-identity`
110×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`distribute-lft-out` `distribute-lft-out--`
16×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `associate--r-`

Counts

2 → 136

Calls

2 calls:

16.0ms	(/ (- 1.0 x) (/ (+ y 1.0) y))
34.0ms	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- 1.0 x) (/ (+ y 1.0) y))
65.0ms	(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	658	1349
1	2476	1305
2	5001	1305

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(/ 1 (+ y 1.0))
4.2b	(- 1.0 (* (/ 1 (+ y 1.0)) (* (- 1.0 x) y)))
6.2b	(* (/ 1 (+ y 1.0)) (* (- 1.0 x) y))

rewrite51.0ms

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:

10.0ms	(* (- 1.0 x) y)
8.0ms	(/ 1 (+ y 1.0))
2.0ms	(- 1.0 (* (/ 1 (+ y 1.0)) (* (- 1.0 x) y)))
26.0ms	(* (/ 1 (+ y 1.0)) (* (- 1.0 x) y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- 1.0 x) y)
22.0ms	(/ 1 (+ y 1.0))
85.0ms	(- 1.0 (* (/ 1 (+ y 1.0)) (* (- 1.0 x) y)))
36.0ms	(* (/ 1 (+ y 1.0)) (* (- 1.0 x) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (60.0ms)

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

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

20.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
16.0ms	(- (/ 1 y) (/ x y))

series49.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
20.0ms	(- (/ 1 y) (/ x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (71.0ms)

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

prune82.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes179.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.3b

bsearch70.0ms

Steps

Iters	Range		Point
6	16112908.465778163	243454343.341909	149564260.8617719
9	-4638439513302.711	-1132915.5505216778	-360301218.9043175

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample433.0ms

Algorithm

intervals

Results

152.0ms	6103×	body	80	valid
68.0ms	742×	body	640	valid
39.0ms	343×	body	1280	valid
33.0ms	497×	body	320	valid
14.0ms	315×	body	160	valid