Details

sample17.0ms

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)))

rewrite13.0ms

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` `expm1-log1p-u` `frac-2neg` `pow1/3` `clear-num` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 68

Calls

1 calls:

10.0ms

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

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	329	515
1	851	506
2	2294	504
3	5001	497

prune141.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	57	14	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	15	72

Merged error: 0.0b

Counts

72 → 15

localize10.0ms

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))

rewrite58.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 522

Calls

3 calls:

16.0ms	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
4.0ms	(cbrt (- (* 2.0 a)))
2.0ms	(cbrt (- g))

series540.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
208.0ms	(cbrt (- (* 2.0 a)))
195.0ms	(cbrt (- g))

simplify106.0ms

Algorithm

egg-herbie

Counts

531 → 531

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	869	6162
1	2306	6117
2	5001	6096

prune1.1s

Filtered

531 candidates to 411 candidates (77.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	525	6	531
Fresh	5	8	13
Picked	0	1	1
Done	0	1	1
Total	530	16	546

Merged error: 0.0b

Counts

546 → 16

localize15.0ms

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)))

rewrite35.0ms

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×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`neg-mul-1` `pow-prod-down`
2×	`prod-exp`

Counts

4 → 161

Calls

4 calls:

17.0ms	(* (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)))

series929.0ms

Counts

4 → 12

Calls

4 calls:

387.0ms	(* (cbrt (sqrt 2.0)) (cbrt (- (* (sqrt 2.0) a))))
49.0ms	(* (sqrt 2.0) a)
199.0ms	(cbrt (- g))
294.0ms	(cbrt (- (* (sqrt 2.0) a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	410	1209
1	1242	1139
2	4756	1096
3	5001	1096

prune397.0ms

Filtered

173 candidates to 123 candidates (71.1%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	2	11	13
Picked	0	1	1
Done	0	2	2
Total	172	17	189

Merged error: 0b

Counts

189 → 17

localize11.0ms

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)))

rewrite35.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`
1×	`prod-exp`

Counts

3 → 177

Calls

3 calls:

18.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms	(cbrt g)
8.0ms	(cbrt (/ 1 (* 2.0 a)))

series525.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
188.0ms	(cbrt g)
217.0ms	(cbrt (/ 1 (* 2.0 a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	504	1289
1	1681	1249
2	5001	1177

prune314.0ms

Filtered

186 candidates to 132 candidates (71.0%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	182	4	186
Fresh	7	6	13
Picked	0	1	1
Done	0	3	3
Total	189	14	203

Merged error: 0b

Counts

203 → 14

regimes283.0ms

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

sample314.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid