Details

analyze82.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify55.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `associate-r` `pow-exp` `associate--l+` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
9.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
5.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series56.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
16.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 1.0)
3.0ms	(* 4.0 (* b b))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	353	568
1	1336	539
2	5001	524

prune130.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Merged error: 0b

Counts

76 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
13.5b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
13.5b	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`add-exp-log` `unpow-prod-down` `pow-unpow` `sqrt-prod`
4×	`sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

4.0ms	(pow (+ (* a a) (* b b)) 2.0)
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
6.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (+ (* a a) (* b b)) 2.0)
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
21.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
18.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify108.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	241	690
1	860	674
2	3574	656
3	5003	646

prune174.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0b

Counts

81 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite31.0ms

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:

15.0ms	(* (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))

series137.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
37.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
33.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify120.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (104.0ms)

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

prune304.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (pow a 4) (* 4.0 (pow b 2))) 1.0)
0.0b	(* 4.0 (pow b 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `diff-log` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

8.0ms	(- (+ (pow a 4) (* 4.0 (pow b 2))) 1.0)
5.0ms	(* 4.0 (pow b 2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (+ (pow a 4) (* 4.0 (pow b 2))) 1.0)
3.0ms	(* 4.0 (pow b 2))

simplify123.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	186	250
1	692	224
2	3422	220
3	5001	219

prune68.0ms

Filtered

31 candidates to 49 candidates (-58.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Merged error: 0b

Counts

53 → 4

regimes168.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	21
1	19	21

end0.0ms

analyze76.0ms

Algorithm: search

sample479.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze82.0ms

sample19.0ms

simplify55.0ms

prune3.0ms

localize12.0ms

rewrite26.0ms

series56.0ms

simplify45.0ms

prune130.0ms

localize13.0ms

rewrite22.0ms

series81.0ms

simplify108.0ms

prune174.0ms

localize14.0ms

rewrite31.0ms

series137.0ms

simplify120.0ms

prune304.0ms

localize8.0ms

rewrite15.0ms

series12.0ms

simplify123.0ms

prune68.0ms

regimes168.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze76.0ms

sample479.0ms

Profiling