Details

sample41.0ms

Algorithm

intervals

Results

25.0ms

668×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1485	8
6	5002	8

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

20.0ms	(+ (* a a) (* b b))
9.0ms	(* 4.0 (* b b))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series173.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* a a) (* b b))
26.0ms	(* 4.0 (* b b))
113.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	307	353
1	1430	325
2	5001	323

prune127.0ms

Filtered

84 candidates to 47 candidates (44.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

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)))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

178×	`*-un-lft-identity`
148×	`cbrt-prod`
104×	`unpow-prod-down`
75×	`associate-l`
67×	`distribute-lft-out`
49×	`swap-sqr`
46×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
16×	`unswap-sqr`
15×	`associate-r` `sqr-pow`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 162

Calls

4 calls:

43.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series662.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify139.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	227	2107
1	736	1997
2	3700	1662
3	5002	1655

prune330.0ms

Filtered

174 candidates to 89 candidates (48.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	169	5	174
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	171	8	179

Merged error: 0.0b

Counts

179 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`add-sqr-sqrt` `associate-l`
15×	`sqrt-prod`
13×	`add-cube-cbrt`
8×	`swap-sqr`
5×	`pow1` `sqr-pow`
4×	`add-exp-log` `rem-sqrt-square` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1`
1×	`pow1/2`

Counts

4 → 89

Calls

4 calls:

19.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series667.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
169.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
169.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
166.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	156	813
1	367	774
2	1237	733
3	5001	733

prune321.0ms

Filtered

101 candidates to 67 candidates (33.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

9.3b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.3b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`cbrt-prod`
38×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`associate-l` `sqrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`swap-sqr`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

22.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
18.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series688.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
174.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
173.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	183	890
1	397	842
2	1296	804
3	5001	804

prune421.0ms

Filtered

98 candidates to 62 candidates (36.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	6	6
Picked	0	1	1
Done	1	1	2
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

regimes307.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

822.0ms

20764×

body

valid