Details

analyze174.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

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: 0.2b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.2b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

11.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
7.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
9.0ms	(* (* a a) (+ 1.0 a))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify113.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	694	813
1	3813	726
2	5002	722

prune158.0ms

Filtered

69 candidates to 104 candidates (-50.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	4	105

Merged error: 0.1b

Counts

105 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (- 1.0 (* 3.0 a)))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series109.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
33.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
36.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	295	702
1	1114	636
2	5001	618

prune289.0ms

Filtered

64 candidates to 82 candidates (-28.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	10	86

Merged error: 0.1b

Counts

86 → 10

localize30.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series132.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
34.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	212	832
1	481	780
2	1535	756
3	5002	726

prune316.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	1	6	7
Picked	1	0	1
Done	1	1	2
Total	75	13	88

Merged error: 0.0b

Counts

88 → 13

localize37.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
9.7b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `sqr-pow`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 63

Calls

4 calls:

4.0ms	(sqrt (+ (* a a) (* b b)))
5.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series108.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (* a a) (* b b)))
34.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	281	691
1	734	650
2	2241	632
3	5002	610

prune271.0ms

Filtered

61 candidates to 75 candidates (-23.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	75	13	88

Merged error: 0.0b

Counts

88 → 13

regimes518.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

analyze136.0ms

Algorithm: search

sample667.0ms

Algorithm

intervals

Results

532.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze174.0ms

sample24.0ms

simplify90.0ms

prune3.0ms

localize19.0ms

rewrite32.0ms

series64.0ms

simplify113.0ms

prune158.0ms

localize21.0ms

rewrite22.0ms

series109.0ms

simplify37.0ms

prune289.0ms

localize30.0ms

rewrite19.0ms

series132.0ms

simplify51.0ms

prune316.0ms

localize37.0ms

rewrite19.0ms

series108.0ms

simplify68.0ms

prune271.0ms

regimes518.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze136.0ms

sample667.0ms

Profiling