Details

sample480.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results

12.0ms

256×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1494	8
6	5001	8

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.0b	(+ (* a a) (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

6.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms	(* 4.0 (* b b))
3.0ms	(+ (* a a) (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(* 4.0 (* b b))
7.0ms	(+ (* a a) (* b b))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	366	432
1	1534	398
2	5001	390

prune116.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

13.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (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))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series132.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify120.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	255	1564
1	805	1485
2	3767	1387
3	5001	1360

prune278.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (+ (* a a) (* b b)))
16.8b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* 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))

series119.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (+ (* a a) (* b b)))
34.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	304	750
1	811	696
2	2484	672
3	5002	644

prune206.0ms

Filtered

58 candidates to 68 candidates (-17.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
2.8b	(* (pow a 2) (pow b 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
4.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms	(* (pow a 2) (pow b 2))

series36.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* 2 (* (pow a 2) (pow b 2)))
11.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
9.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
6.0ms	(* (pow a 2) (pow b 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	375	699
1	1611	621
2	5002	616

prune154.0ms

Filtered

60 candidates to 113 candidates (-88.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

regimes280.0ms

Accuracy

0% (0.2b 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	15	8
1	15	8

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results

364.0ms	8000×	body	80	valid
0.0ms	7×	body	80	invalid

Details

sample480.0ms

simplify54.0ms

prune3.0ms

localize10.0ms

rewrite20.0ms

series45.0ms

simplify43.0ms

prune116.0ms

localize14.0ms

rewrite28.0ms

series132.0ms

simplify120.0ms

prune278.0ms

localize25.0ms

rewrite19.0ms

series119.0ms

simplify74.0ms

prune206.0ms

localize13.0ms

rewrite28.0ms

series36.0ms

simplify55.0ms

prune154.0ms

regimes280.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling