Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

338×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* x y) (- 1.0 y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (* x y) (- 1.0 y))

simplify28.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune37.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
5.7b	(* x (* y (- 1.0 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* y (- 1.0 y))
42.0ms	(* x (* y (- 1.0 y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	252
1	861	214
2	5002	214

prune58.0ms

Filtered

60 candidates to 30 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 1.0) (* y y))
0.8b	(* (* x y) (- (* 1.0 1.0) (* y y)))
8.0b	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

3.0ms	(- (* 1.0 1.0) (* y y))
7.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
10.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* 1.0 1.0) (* y y))
83.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
104.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify93.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	374	581
1	2111	466
2	5002	466

prune125.0ms

Filtered

76 candidates to 50 candidates (65.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))
0.2b	(* (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))))
10.0b	(sqrt (* (* x y) (- 1.0 y)))
10.0b	(sqrt (* (* x y) (- 1.0 y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
20×	`associate-*r/`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
13×	`add-sqr-sqrt`
11×	`add-exp-log` `*-un-lft-identity` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `flip3--` `associate-r` `flip--`
6×	`sqrt-prod`
5×	`associate-l`
4×	`frac-times` `swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

7.0ms	(* (* x y) (- 1.0 y))
15.0ms	(* (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))))
5.0ms	(sqrt (* (* x y) (- 1.0 y)))
5.0ms	(sqrt (* (* x y) (- 1.0 y)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x y) (- 1.0 y))
45.0ms	(* (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))))
209.0ms	(sqrt (* (* x y) (- 1.0 y)))
211.0ms	(sqrt (* (* x y) (- 1.0 y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	298	683
1	1546	606
2	5002	574

prune146.0ms

Filtered

140 candidates to 64 candidates (45.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	140	5	145

Merged error: 0.0b

Counts

145 → 5

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample386.0ms

Algorithm

intervals

Results

225.0ms

10753×

body

valid