Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

295×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	807	3
13	1167	3
14	1504	3
15	2186	3
16	5002	3

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
6.0ms	(* (+ x 1.0) y)

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
5.0ms	(* (+ x 1.0) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune51.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
0.0b	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
2.4b	(* (+ (pow x 3) (pow 1.0 3)) y)
13.2b	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

19.0ms	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
6.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
15.0ms	(* (+ (pow x 3) (pow 1.0 3)) y)
18.0ms	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
3.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
7.0ms	(* (+ (pow x 3) (pow 1.0 3)) y)
13.0ms	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	390	891
1	1862	783
2	5003	777

prune172.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (+ x 1.0) y))
0.0b	(* (+ x 1.0) y)
0.0b	(* (+ x 1.0) y)
0.2b	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`sqrt-div`
12×	`add-cube-cbrt` `associate-l`
11×	`pow1/2`
10×	`add-exp-log` `associate-r` `pow-prod-up` `add-cbrt-cube`
9×	`flip3-+` `flip-+`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*r/` `distribute-lft-out`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 112

Calls

4 calls:

4.0ms	(sqrt (* (+ x 1.0) y))
6.0ms	(* (+ x 1.0) y)
6.0ms	(* (+ x 1.0) y)
13.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (* (+ x 1.0) y))
5.0ms	(* (+ x 1.0) y)
5.0ms	(* (+ x 1.0) y)
14.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	259	511
1	1194	464
2	5001	448

prune143.0ms

Filtered

77 candidates to 124 candidates (-61.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0b

Counts

127 → 3

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample416.0ms

Algorithm

intervals

Results

193.0ms	9130×	body	80	valid
0.0ms	2×	body	1280	valid

Details

sample16.0ms

simplify89.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify67.0ms

prune51.0ms

localize13.0ms

rewrite60.0ms

series40.0ms

simplify63.0ms

prune172.0ms

localize7.0ms

rewrite33.0ms

series36.0ms

simplify51.0ms

prune143.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample416.0ms

Profiling