Details

analyze80.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify56.0ms

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

rewrite22.0ms

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:

4.0ms	(+ (* a a) (* b b))
5.0ms	(* 4.0 (* b b))
7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series44.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* a a) (* b b))
3.0ms	(* 4.0 (* b b))
14.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

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

prune102.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0b

Counts

71 → 4

localize17.0ms

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)))
18.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite30.0ms

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:

14.0ms	(* (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))

series138.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify121.0ms

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

prune285.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
3.3b	(* (pow a 2) (pow b 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

8.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
8.0ms	(* (pow a 2) (pow b 2))

series26.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
8.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	330	587
1	1424	506
2	5001	495

prune133.0ms

Filtered

50 candidates to 99 candidates (-98.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.2b	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
32.5b	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow` `cube-prod` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cube-div`
3×	`flip3-+` `flip-+` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `pow-pow` `unpow3` `pow-exp`
1×	`+-commutative` `pow1/3` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 76

Calls

4 calls:

7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
7.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3)
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
83.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3)
24.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	374	961
1	1753	904
2	5002	894

prune118.0ms

Filtered

56 candidates to 88 candidates (-57.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

regimes205.0ms

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

analyze79.0ms

Algorithm: search

sample492.0ms

Algorithm

intervals

Results

363.0ms	8000×	body	80	valid
0.0ms	7×	body	80	invalid

Details

analyze80.0ms

sample21.0ms

simplify56.0ms

prune3.0ms

localize10.0ms

rewrite22.0ms

series44.0ms

simplify45.0ms

prune102.0ms

localize17.0ms

rewrite30.0ms

series138.0ms

simplify121.0ms

prune285.0ms

localize13.0ms

rewrite26.0ms

series26.0ms

simplify49.0ms

prune133.0ms

localize14.0ms

rewrite28.0ms

series137.0ms

simplify55.0ms

prune118.0ms

regimes205.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze79.0ms

sample492.0ms

Profiling