Details

sample55.0ms

Algorithm

intervals

Results

35.0ms

643×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize17.0ms

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	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite36.0ms

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:

14.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
7.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series268.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
51.0ms	(* (* a a) (+ 1.0 a))
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
104.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify103.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	658	794
1	3720	707
2	5001	707

prune306.0ms

Filtered

104 candidates to 69 candidates (66.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 0.1b

Counts

105 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(* (cbrt 4.0) (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
1.0b	(* (cbrt 4.0) (cbrt 4.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
20×	`cbrt-prod`
19×	`pow1`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-*r/`
14×	`add-exp-log`
13×	`associate-l`
12×	`associate-r`
10×	`add-cbrt-cube`
7×	`unswap-sqr`
6×	`pow1/3` `swap-sqr` `pow-prod-down`
5×	`prod-exp` `cbrt-unprod`
4×	`frac-add` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `flip3--` `distribute-lft-in` `flip3-+` `*-commutative` `flip--` `flip-+`
2×	`sub-neg` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `pow-exp` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
13.0ms	(* (cbrt 4.0) (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (cbrt 4.0) (cbrt 4.0))

series268.0ms

Counts

4 → 10

Calls

4 calls:

53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
107.0ms	(* (cbrt 4.0) (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
107.0ms	(pow (+ (* a a) (* b b)) 2.0)
0.0ms	(* (cbrt 4.0) (cbrt 4.0))

simplify105.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	643	966
1	3619	893
2	5002	864

prune402.0ms

Filtered

122 candidates to 80 candidates (65.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Merged error: 0.1b

Counts

128 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 4.0) (cbrt 4.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`unpow-prod-down` `pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`sqr-pow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* (cbrt 4.0) (cbrt 4.0))
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))

series459.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt 4.0) (cbrt 4.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	169	663
1	539	616
2	2491	590
3	5001	587

prune407.0ms

Filtered

95 candidates to 68 candidates (71.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

10.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
10.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

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

series601.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	140	598
1	298	564
2	971	560
3	3919	556
4	5001	556

prune476.0ms

Filtered

80 candidates to 68 candidates (85.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

regimes191.0ms

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	31	20
1	31	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

20683×

body

valid