Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

338×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 4.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (* y y)) 3.0)
9.3b	(/ x (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(- (/ x (* y y)) 3.0)
4.0ms	(/ x (* y y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ x (* y y)) 3.0)
5.0ms	(/ x (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	159	182
1	465	164
2	1357	162
3	5001	162

prune95.0ms

Filtered

42 candidates to 30 candidates (28.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ 1 y) (/ x y)) 3.0)
0.2b	(* (/ 1 y) (/ x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-exp-log`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`pow1` `cbrt-undiv` `cbrt-unprod` `add-log-exp`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

2 → 68

Calls

2 calls:

6.0ms	(- (* (/ 1 y) (/ x y)) 3.0)
12.0ms	(* (/ 1 y) (/ x y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (* (/ 1 y) (/ x y)) 3.0)
4.0ms	(* (/ 1 y) (/ x y))

simplify47.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	372	388
1	1750	333
2	5001	289

prune167.0ms

Filtered

74 candidates to 44 candidates (40.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))
19.6b	(cbrt (* (/ 1 y) (/ x y)))
19.6b	(cbrt (* (/ 1 y) (/ x y)))
19.6b	(cbrt (* (/ 1 y) (/ x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

5.0ms	(* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))
5.0ms	(cbrt (* (/ 1 y) (/ x y)))
5.0ms	(cbrt (* (/ 1 y) (/ x y)))
5.0ms	(cbrt (* (/ 1 y) (/ x y)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))
16.0ms	(cbrt (* (/ 1 y) (/ x y)))
17.0ms	(cbrt (* (/ 1 y) (/ x y)))
17.0ms	(cbrt (* (/ 1 y) (/ x y)))

simplify120.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	225	697
1	783	620
2	4015	562
3	5001	530

prune363.0ms

Filtered

94 candidates to 66 candidates (29.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	94	7	101

Merged error: 0b

Counts

101 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 y))
7.5b	(cbrt (/ x y))
19.6b	(cbrt (* (/ 1 y) (/ x y)))
19.6b	(cbrt (* (/ 1 y) (/ x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (/ x y))
5.0ms	(cbrt (* (/ 1 y) (/ x y)))
5.0ms	(cbrt (* (/ 1 y) (/ x y)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (/ 1 y))
14.0ms	(cbrt (/ x y))
17.0ms	(cbrt (* (/ 1 y) (/ x y)))
17.0ms	(cbrt (* (/ 1 y) (/ x y)))

simplify177.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (171.0ms)

Iter	Nodes	Cost
0	257	475
1	642	437
2	1693	412
3	4725	351
4	5001	349

prune447.0ms

Filtered

80 candidates to 59 candidates (26.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	80	7	87

Merged error: 0b

Counts

87 → 7

regimes272.0ms

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	11	4
1	11	4

end0.0ms

sample510.0ms

Algorithm

intervals

Results

239.0ms

10687×

body

valid

Details

sample20.0ms

simplify4.0ms

prune7.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify39.0ms

prune95.0ms

localize6.0ms

rewrite21.0ms

series8.0ms

simplify47.0ms

prune167.0ms

localize12.0ms

rewrite23.0ms

series76.0ms

simplify120.0ms

prune363.0ms

localize13.0ms

rewrite16.0ms

series69.0ms

simplify177.0ms

prune447.0ms

regimes272.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample510.0ms

Profiling