Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

336×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune2.0ms

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* x 3.0) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune28.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.8b	(sqrt (* (* x 3.0) x))
20.8b	(sqrt (* (* x 3.0) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

4.0ms	(* (* x 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms	(sqrt (* (* x 3.0) x))
3.0ms	(sqrt (* (* x 3.0) x))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 3.0) x)
9.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune105.0ms

Filtered

50 candidates to 120 candidates (-140.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
20.8b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
20.8b	(sqrt (* (* x 3.0) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
3.0ms	(sqrt (* (* x 3.0) x))

series55.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
21.0ms	(cbrt x)
8.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	104	242
1	211	225
2	473	165
3	1430	163
4	5002	157

prune86.0ms

Filtered

43 candidates to 61 candidates (-41.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.5b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
20.8b	(sqrt (* (* x 3.0) x))
20.8b	(sqrt (* (* x 3.0) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`pow1`
20×	`associate-l`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow-prod-down`
7×	`pow-pow` `associate-r` `add-cbrt-cube`
4×	`pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

13.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
7.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
3.0ms	(sqrt (* (* x 3.0) x))

series26.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
11.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	331	968
1	1669	761
2	5002	668

prune164.0ms

Filtered

65 candidates to 127 candidates (-95.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	126	9	135

Merged error: 0.0b

Counts

135 → 9

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample311.0ms

Algorithm

intervals

Results

164.0ms

10716×

body

valid

Details

sample12.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify51.0ms

prune28.0ms

localize5.0ms

rewrite26.0ms

series20.0ms

simplify41.0ms

prune105.0ms

localize11.0ms

rewrite16.0ms

series55.0ms

simplify45.0ms

prune86.0ms

localize9.0ms

rewrite32.0ms

series26.0ms

simplify67.0ms

prune164.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample311.0ms

Profiling