Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	273×	body	80	nan
9.0ms	256×	body	80	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize11.0ms

Local error

Found 3 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)))))
0.2b	(* 3.0 (* v v))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
45×	`sqrt-prod`
42×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`associate-r`
30×	`associate-l`
28×	`sqrt-div`
25×	`unswap-sqr`
24×	`frac-times`
22×	`times-frac`
18×	`associate-/l*`
14×	`flip3--` `flip--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*l/` `difference-of-squares`
11×	`pow1`
9×	`associate-/r*`
6×	`swap-sqr` `*-commutative`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `distribute-lft-out--`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`associate-*r/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 153

Calls

3 calls:

12.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
25.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
13.0ms	(* 3.0 (* v v))

series312.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
201.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify94.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	693	1525
1	3015	1472
2	5001	1470

prune378.0ms

Filtered

162 candidates to 103 candidates (63.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	2	163

Merged error: 0b

Counts

163 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.2b	(* 3.0 (* v v))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

6280×	`add-sqr-sqrt`
4856×	`frac-times`
4460×	`cbrt-prod`
3909×	`associate-/l*`
3839×	`sqrt-prod`
2054×	`sqrt-div`
1932×	`*-un-lft-identity`
1920×	`add-cube-cbrt`
1905×	`unswap-sqr`
1320×	`times-frac`
1314×	`associate-/r*`
1027×	`flip3--` `flip--`
1024×	`associate-*l/`
954×	`associate-l`
850×	`swap-sqr`
704×	`associate-r`
219×	`frac-2neg` `clear-num`
164×	`associate-*r/`
108×	`add-cbrt-cube`
102×	`*-commutative`
64×	`cbrt-unprod`
50×	`add-exp-log`
34×	`cbrt-undiv`
23×	`prod-exp`
18×	`difference-of-squares`
17×	`pow1`
10×	`div-exp`
7×	`pow-prod-down`
6×	`distribute-lft-out--`
4×	`add-log-exp`
3×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 4157

Calls

4 calls:

371.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
35.0ms	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
12.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
9.0ms	(* 3.0 (* v v))

series764.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 4.0)) (* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
393.0ms	(* (/ (cbrt (sqrt 2.0)) (sqrt 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
82.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
25.0ms	(* 3.0 (* v v))

simplify1.1s

Algorithm

egg-herbie

Counts

4169 → 4169

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5001	133114

prune11.4s

Filtered

4169 candidates to 1886 candidates (45.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	4168	1	4169
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	4169	2	4171

Merged error: 0b

Counts

4171 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
28.4b	(sqrt (* 3.0 (* v v)))
28.4b	(sqrt (* 3.0 (* v v)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
72×	`associate-r`
56×	`sqrt-prod`
40×	`unswap-sqr`
30×	`add-cube-cbrt` `*-un-lft-identity`
26×	`pow1`
24×	`associate-l`
18×	`swap-sqr`
14×	`add-exp-log` `*-commutative` `add-cbrt-cube`
12×	`rem-sqrt-square` `pow-prod-down`
6×	`sqrt-pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow1/2`

Counts

4 → 164

Calls

4 calls:

9.0ms	(* 3.0 (* v v))
10.0ms	(* 3.0 (* v v))
11.0ms	(sqrt (* 3.0 (* v v)))
12.0ms	(sqrt (* 3.0 (* v v)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 3.0 (* v v))
26.0ms	(* 3.0 (* v v))
35.0ms	(sqrt (* 3.0 (* v v)))
44.0ms	(sqrt (* 3.0 (* v v)))

simplify136.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	200	640
1	799	596
2	4022	592
3	5002	590

prune648.0ms

Filtered

176 candidates to 100 candidates (56.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	2	178

Merged error: 0b

Counts

178 → 2

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	20
1	23	20

end0.0ms

sample742.0ms

Algorithm

intervals

Results

293.0ms	8000×	body	80	valid
269.0ms	7730×	body	80	nan