Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	234×	body	80	nan

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	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

localize10.0ms

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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`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`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

7.0ms	(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))

series613.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
199.0ms	(* (/ (sqrt 2.0) 4.0) (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)))
25.0ms	(* 3.0 (* v v))

simplify99.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	871	1794
1	3992	1686
2	5002	1684

prune364.0ms

Filtered

154 candidates to 111 candidates (72.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	2	155

Merged error: 0b

Counts

155 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

100×	`frac-times`
67×	`add-sqr-sqrt`
52×	`sqrt-div`
50×	`-un-lft-identity` `associate-l/`
46×	`add-cube-cbrt`
44×	`flip3--` `flip--`
37×	`add-exp-log` `add-cbrt-cube`
36×	`associate-*r/` `prod-diff` `sqrt-prod`
27×	`associate-l`
25×	`pow1`
24×	`flip3-+` `flip-+`
22×	`times-frac`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
13×	`pow-prod-down`
7×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`sub-neg` `difference-of-squares`
1×	`div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 238

Calls

4 calls:

11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
23.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
14.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
6.0ms	(* 3.0 (* v v))

series793.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
402.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
166.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
24.0ms	(* 3.0 (* v v))

simplify87.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	1629	4659
1	5003	4322

prune692.0ms

Filtered

250 candidates to 172 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	250	2	252

Merged error: 0b

Counts

252 → 2

localize13.0ms

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

1056×	`sqrt-div`
881×	`frac-times`
444×	`flip3--` `flip--`
313×	`associate-r/` `associate-l/`
146×	`pow1`
80×	`pow-prod-down`
60×	`sqrt-pow1`
25×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
17×	`pow-prod-up`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1/2` `prod-exp` `cbrt-unprod`
11×	`associate-l` `pow-sqr`
10×	`associate-r`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `swap-sqr` `sqrt-prod` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`sub-neg`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `rem-square-sqrt` `difference-of-squares`

Counts

4 → 483

Calls

4 calls:

13.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
36.0ms	(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

series768.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
24.0ms	(* 3.0 (* v v))
31.0ms	(* 3.0 (* v v))
400.0ms	(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

simplify188.0ms

Algorithm

egg-herbie

Counts

495 → 495

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1545	17666
1	5001	17415

prune1.7s

Filtered

495 candidates to 262 candidates (52.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	495	0	495
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	495	2	497

Merged error: 0b

Counts

497 → 2

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample786.0ms

Algorithm

intervals

Results

304.0ms	8000×	body	80	valid
292.0ms	7956×	body	80	nan