Details

sample41.0ms

Algorithm

intervals

Results

25.0ms

670×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

37.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
15.0ms	(+ (* a a) (* b b))
8.0ms	(* 4.0 (* b b))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series225.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
30.0ms	(+ (* a a) (* b b))
25.0ms	(* 4.0 (* b b))
107.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	385	514
1	1787	477
2	5001	475

prune204.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0.0b

Counts

101 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

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))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
3.1b	(* (pow a 2) (pow b 2))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
65×	`unswap-sqr`
53×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
30×	`*-un-lft-identity`
28×	`prod-exp` `unpow2` `sqr-pow`
21×	`associate-l`
16×	`add-cube-cbrt`
13×	`pow1`
12×	`pow-to-exp` `pow-exp`
11×	`pow-prod-down` `add-cbrt-cube` `add-log-exp`
8×	`pow-unpow`
7×	`distribute-lft-out`
4×	`sum-log` `cbrt-unprod`
3×	`+-commutative` `*-commutative`
2×	`associate-+r+` `pow-pow` `flip3-+` `flip-+`

Counts

4 → 167

Calls

4 calls:

37.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
30.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
21.0ms	(* 2 (* (pow a 2) (pow b 2)))
10.0ms	(* (pow a 2) (pow b 2))

series181.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
54.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
37.0ms	(* 2 (* (pow a 2) (pow b 2)))
37.0ms	(* (pow a 2) (pow b 2))

simplify88.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	566	1065
1	2445	894
2	5001	889

prune412.0ms

Filtered

179 candidates to 100 candidates (55.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	179	2	181

Merged error: 0.0b

Counts

181 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
3.1b	(* (pow a 2) (pow b 2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
65×	`unswap-sqr`
53×	`associate-r`
37×	`add-exp-log`
36×	`unpow-prod-down`
28×	`prod-exp` `unpow2` `sqr-pow`
19×	`associate-l`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow-to-exp` `pow-exp`
11×	`pow1` `pow-prod-down`
9×	`add-cbrt-cube`
8×	`pow-unpow`
4×	`cbrt-unprod`
3×	`*-commutative`
2×	`pow-pow` `add-log-exp`

Counts

2 → 137

Calls

2 calls:

24.0ms	(* 2 (* (pow a 2) (pow b 2)))
10.0ms	(* (pow a 2) (pow b 2))

series74.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* 2 (* (pow a 2) (pow b 2)))
33.0ms	(* (pow a 2) (pow b 2))

simplify62.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	420	725
1	1703	567
2	5001	558

prune309.0ms

Filtered

143 candidates to 76 candidates (53.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	143	2	145

Merged error: 0.0b

Counts

145 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 3)
0.3b	(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
26.6b	(cbrt (pow (+ (* a a) (* b b)) 3))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
49×	`unpow-prod-down`
44×	`cbrt-prod`
33×	`add-sqr-sqrt`
30×	`associate-l` `distribute-lft-out`
24×	`cube-prod`
21×	`add-cube-cbrt`
18×	`associate-r`
16×	`swap-sqr`
11×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
7×	`pow-unpow` `unswap-sqr`
4×	`cube-div` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-pow` `unpow3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `cbrt-div` `flip3-+` `pow1/3` `pow-exp` `rem-cbrt-cube` `flip-+`
1×	`rem-cube-cbrt`

Counts

4 → 146

Calls

4 calls:

9.0ms	(* 4.0 (* b b))
20.0ms	(pow (+ (* a a) (* b b)) 3)
21.0ms	(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 3))

series233.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 4.0 (* b b))
72.0ms	(pow (+ (* a a) (* b b)) 3)
107.0ms	(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
28.0ms	(cbrt (pow (+ (* a a) (* b b)) 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	464	907
1	2155	853
2	5001	803

prune267.0ms

Filtered

158 candidates to 70 candidates (44.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	2	160

Merged error: 0.0b

Counts

160 → 2

regimes60.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

790.0ms

20277×

body

valid