Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	228×	body	80	nan

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

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: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.1b	(* 3.0 (* v v))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
13.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms	(* 3.0 (* v v))

series603.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
201.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
302.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
26.0ms	(* 3.0 (* v v))

simplify99.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	809	1605
1	3621	1516
2	5001	1513

prune324.0ms

Filtered

140 candidates to 99 candidates (70.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div`
84×	`frac-times`
57×	`flip3--` `flip--`
42×	`add-sqr-sqrt` `associate-*l/`
28×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
26×	`associate-l`
24×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
21×	`pow1`
14×	`associate-r` `prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 166

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
19.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series625.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
314.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
201.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))

simplify118.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	1020	2909
1	4044	2660
2	5001	2655

prune633.0ms

Filtered

178 candidates to 117 candidates (65.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	178	3	181

Merged error: 0b

Counts

181 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v)))))) 4.0) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b	(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
21×	`pow1`
17×	`add-sqr-sqrt`
16×	`frac-times`
15×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
12×	`cbrt-div` `flip3--` `sqrt-div` `flip--`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
9×	`associate-r`
8×	`associate-r/` `associate-l/`
4×	`sqrt-prod` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`difference-of-squares`

Counts

4 → 104

Calls

4 calls:

14.0ms	(* (* (/ (* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v)))))) 4.0) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
5.0ms	(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series465.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(* (* (/ (* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v)))))) 4.0) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
41.0ms	(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
24.0ms	(* 3.0 (* v v))
28.0ms	(* 3.0 (* v v))

simplify107.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	810	1712
1	4138	1544
2	5001	1544

prune314.0ms

Filtered

116 candidates to 75 candidates (64.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
0.1b	(* 3.0 (* v v))
1.0b	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`frac-times`
36×	`flip3--` `sqrt-div` `flip--`
34×	`cube-div`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r/` `associate-l/`
20×	`pow1`
17×	`cbrt-div`
13×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
9×	`pow-prod-down`
8×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`associate-l` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`pow-unpow` `pow-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `distribute-lft-in` `unpow3` `cube-prod` `div-exp` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `difference-of-squares` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

12.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
5.0ms	(* 3.0 (* v v))
13.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series1.4s

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
261.0ms	(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
31.0ms	(* 3.0 (* v v))
795.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify53.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1136	2463
1	5001	2384

prune451.0ms

Filtered

151 candidates to 114 candidates (75.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	151	3	154

Merged error: 0b

Counts

154 → 3

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample741.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	80	valid
270.0ms	7857×	body	80	nan