Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	249×	body	80	nan

simplify62.0ms

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

localize16.0ms

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

46×	`frac-times`
34×	`sqrt-div`
29×	`flip3--` `flip--`
23×	`associate-*l/`
12×	`frac-2neg` `clear-num`
10×	`associate-*r/`
5×	`associate-l` `*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r` `div-inv`
1×	`pow1/2`

Counts

4 → 62

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
8.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))

series626.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
309.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
211.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify88.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	702	1212
1	3047	1212
2	5001	1212

prune293.0ms

Filtered

74 candidates to 67 candidates (90.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	2	75

Merged error: 0.0b

Counts

75 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
20×	`frac-times`
19×	`flip3--` `flip--`
14×	`sqrt-div`
12×	`associate-/l/`
8×	`clear-num`
7×	`associate-r`
6×	`frac-2neg`
5×	`*-commutative`
4×	`associate-*l/`
2×	`un-div-inv` `div-inv`
1×	`pow1/2`

Counts

4 → 48

Calls

4 calls:

5.0ms	(* (- 1.0 (* v v)) (/ (sqrt (- 1.0 (* 3.0 (* v v)))) 4.0))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
9.0ms	(* (sqrt 2.0) (* (- 1.0 (* v v)) (/ (sqrt (- 1.0 (* 3.0 (* v v)))) 4.0)))
3.0ms	(* 3.0 (* v v))

series664.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (- 1.0 (* v v)) (/ (sqrt (- 1.0 (* 3.0 (* v v)))) 4.0))
83.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
311.0ms	(* (sqrt 2.0) (* (- 1.0 (* v v)) (/ (sqrt (- 1.0 (* 3.0 (* v v)))) 4.0)))
30.0ms	(* 3.0 (* v v))

simplify59.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	507	745
1	2080	744
2	5002	744

prune228.0ms

Filtered

60 candidates to 54 candidates (90.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0.0b

Counts

62 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

234×	`*-commutative`
122×	`associate-l`
120×	`difference-of-squares`
88×	`times-frac`
52×	`swap-sqr` `unswap-sqr`
51×	`associate-r`
44×	`associate-/l*`
39×	`associate-*r/`
16×	`associate-/l/`
12×	`flip3--` `sqrt-div` `flip--`
8×	`frac-times` `associate-*l/`
7×	`pow2`
4×	`associate-/r*` `associate-/r/`
3×	`clear-num`
2×	`frac-2neg` `flip3-+` `flip-+` `div-inv`
1×	`pow-prod-down` `pow-sqr` `un-div-inv` `pow-prod-up`

Counts

4 → 185

Calls

4 calls:

19.0ms	(/ (* (- (* 1.0 1.0) (* (* v v) (* v v))) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (+ 1.0 (* v v)) 4.0))
27.0ms	(* (sqrt 2.0) (/ (* (- (* 1.0 1.0) (* (* v v) (* v v))) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (+ 1.0 (* v v)) 4.0)))
5.0ms	(* (* v v) (* v v))
3.0ms	(* 3.0 (* v v))

series749.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(/ (* (- (* 1.0 1.0) (* (* v v) (* v v))) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (+ 1.0 (* v v)) 4.0))
400.0ms	(* (sqrt 2.0) (/ (* (- (* 1.0 1.0) (* (* v v) (* v v))) (sqrt (- 1.0 (* 3.0 (* v v))))) (* (+ 1.0 (* v v)) 4.0)))
31.0ms	(* (* v v) (* v v))
31.0ms	(* 3.0 (* v v))

simplify96.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	585	1629
1	2730	1570
2	5002	1568

prune273.0ms

Filtered

197 candidates to 64 candidates (32.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	197	2	199

Merged error: 0.0b

Counts

199 → 2

regimes23.0ms

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	16
1	23	16

end0.0ms

sample741.0ms

Algorithm

intervals

Results

280.0ms	8149×	body	80	nan
280.0ms	8000×	body	80	valid