Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	11	3

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: 14.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.1b

(cbrt (/ g (* 2.0 a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div`
12×	`associate-r` `associate-l` `associate-/r*`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/l*`
1×	`pow1` `add-exp-log` `frac-2neg` `pow1/3` `clear-num` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 66

Calls

1 calls:

8.0ms

(cbrt (/ g (* 2.0 a)))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(cbrt (/ g (* 2.0 a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	327	507
1	849	498
2	2286	496
3	5001	489

prune143.0ms

Filtered

69 candidates to 55 candidates (79.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	55	14	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	15	70

Merged error: 0.0b

Counts

70 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
0.5b	(cbrt (- (* 2.0 a)))
0.6b	(cbrt (- g))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

750×	`cbrt-prod`
403×	`times-frac`
313×	`add-sqr-sqrt`
279×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
253×	`add-cube-cbrt` `*-un-lft-identity`
90×	`associate-r` `associate-l`
48×	`neg-mul-1`
31×	`associate-/r*`
30×	`*-commutative` `unswap-sqr`
13×	`associate-/l*`
7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`cbrt-undiv`
3×	`pow1` `add-log-exp`
2×	`pow1/3`
1×	`frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 516

Calls

3 calls:

17.0ms	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
4.0ms	(cbrt (- (* 2.0 a)))
2.0ms	(cbrt (- g))

series544.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
204.0ms	(cbrt (- (* 2.0 a)))
195.0ms	(cbrt (- g))

simplify118.0ms

Algorithm

egg-herbie

Counts

525 → 525

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	863	6134
1	2300	6089
2	5001	6068

prune1.1s

Filtered

525 candidates to 405 candidates (77.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	519	6	525
Fresh	5	8	13
Picked	0	1	1
Done	0	1	1
Total	524	16	540

Merged error: 0.0b

Counts

540 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sqrt 2.0)) (cbrt (- (* (sqrt 2.0) a))))
0.4b	(* (sqrt 2.0) a)
0.6b	(cbrt (- g))
0.6b	(cbrt (- (* (sqrt 2.0) a)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

95×	`cbrt-prod`
64×	`add-sqr-sqrt`
54×	`associate-r`
39×	`associate-l`
35×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
32×	`add-cube-cbrt` `*-un-lft-identity`
25×	`sqrt-prod`
16×	`unswap-sqr`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log`
6×	`*-commutative`
5×	`cbrt-unprod`
4×	`pow1/3` `add-log-exp`
3×	`neg-mul-1` `pow-prod-down`
2×	`prod-exp`

Counts

4 → 153

Calls

4 calls:

21.0ms	(* (cbrt (sqrt 2.0)) (cbrt (- (* (sqrt 2.0) a))))
5.0ms	(* (sqrt 2.0) a)
2.0ms	(cbrt (- g))
5.0ms	(cbrt (- (* (sqrt 2.0) a)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

376.0ms	(* (cbrt (sqrt 2.0)) (cbrt (- (* (sqrt 2.0) a))))
49.0ms	(* (sqrt 2.0) a)
205.0ms	(cbrt (- g))
291.0ms	(cbrt (- (* (sqrt 2.0) a)))

simplify109.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	402	1171
1	1227	1101
2	4704	1058
3	5001	1044

prune366.0ms

Filtered

165 candidates to 116 candidates (70.3%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	2	11	13
Picked	0	1	1
Done	0	2	2
Total	164	17	181

Merged error: 0b

Counts

181 → 17

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b	(cbrt g)
0.6b	(cbrt (/ 1 (* 2.0 a)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
102×	`cbrt-prod`
80×	`times-frac`
67×	`associate-r`
63×	`*-un-lft-identity`
59×	`add-cube-cbrt`
36×	`cbrt-div`
30×	`associate-l`
24×	`associate-/r*` `unswap-sqr`
18×	`associate-*r/`
9×	`*-commutative`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `cbrt-unprod`
3×	`add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`
1×	`prod-exp`

Counts

3 → 171

Calls

3 calls:

19.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms	(cbrt g)
8.0ms	(cbrt (/ 1 (* 2.0 a)))

series512.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
190.0ms	(cbrt g)
208.0ms	(cbrt (/ 1 (* 2.0 a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	498	1265
1	1675	1225
2	5001	1153

prune296.0ms

Filtered

180 candidates to 126 candidates (70.0%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	176	4	180
Fresh	7	6	13
Picked	0	1	1
Done	0	3	3
Total	183	14	197

Merged error: 0b

Counts

197 → 14

regimes275.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	16	6
2	16	6

end0.0ms

sample311.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid