Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	193×	body	80	valid
2.0ms	22×	body	640	valid
1.0ms	20×	body	320	valid
1.0ms	10×	body	1280	valid
0.0ms	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: 20.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.8b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite25.0ms

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:

6.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- 1.0 x) y)
68.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
45.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

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

prune154.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.3b	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
28×	`times-frac`
21×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
11×	`distribute-lft-out`
8×	`associate-/r/` `associate-/l/`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-*l/`
5×	`difference-of-squares`
4×	`pow1` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 122

Calls

4 calls:

10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
13.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
48.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
42.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
398.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify75.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	431	1543
1	2019	1406
2	5001	1406

prune305.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.8b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.7b	(/ (* (- 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:

11.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- 1.0 x) y)
69.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
42.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (11.0ms)

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

prune145.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
5.7b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.3b	(/ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log` `add-cbrt-cube`
28×	`cbrt-undiv` `*-un-lft-identity` `div-exp`
18×	`prod-exp` `cbrt-unprod`
16×	`times-frac` `associate-/r*`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`associate-/l/`
8×	`associate-/r/` `distribute-lft-out`
7×	`associate-*l/`
4×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`
1×	`frac-times` `associate-*r/`

Counts

4 → 125

Calls

4 calls:

10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
13.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
27.0ms	(/ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series666.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
47.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
42.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
535.0ms	(/ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify77.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	539	1456
1	3034	1132
2	5001	1099

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

regimes188.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 21.9b

bsearch59.0ms

Steps

Iters	Range		Point
6	39135938.24223837	166951548.0487144	45126711.2146551
7	-1608183693.8472729	-10592332.564180197	-131869364.42794824

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	33	11
2	33	11

end0.0ms

sample445.0ms

Algorithm

intervals

Results

155.0ms	6115×	body	80	valid
70.0ms	738×	body	640	valid
45.0ms	367×	body	1280	valid
34.0ms	496×	body	320	valid
13.0ms	284×	body	160	valid