Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	250×	body	80	nan

simplify63.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

66.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
33.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
20.0ms	(* 3.0 (* v v))

series505.0ms

Counts

3 → 9

Calls

3 calls:

285.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
191.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))

simplify89.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	760	1460
1	3422	1374
2	5001	1372

prune292.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
34×	`cube-div` `frac-times`
28×	`sqrt-div`
26×	`flip3--` `flip--`
25×	`associate-l`
24×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
18×	`associate-*r/`
17×	`pow1` `cbrt-div` `associate-*l/` `sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`cbrt-prod`
7×	`associate-r` `pow-prod-down` `unswap-sqr`
4×	`pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`pow-unpow` `pow-pow`
2×	`cbrt-undiv` `cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `div-exp` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `div-inv`

Counts

4 → 149

Calls

4 calls:

33.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
12.0ms	(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
20.0ms	(* 3.0 (* v v))
57.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series1.3s

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
256.0ms	(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
25.0ms	(* 3.0 (* v v))
771.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify49.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1191	2292
1	5001	2209

prune523.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))

0.1b

(* 3.0 (* v v))

1.0b

(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
58×	`frac-times` `add-cbrt-cube`
43×	`prod-exp`
38×	`associate-*r/`
35×	`associate-l`
32×	`sqrt-div`
30×	`cbrt-unprod`
28×	`flip3--` `flip--`
27×	`times-frac` `sqrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`associate-*l/`
22×	`pow1`
18×	`div-exp`
12×	`pow-prod-down`
10×	`cbrt-undiv`
6×	`1-exp` `associate-r`
3×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`div-inv` `difference-of-squares` `unswap-sqr`

Counts

3 → 159

Calls

3 calls:

224.0ms

(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))

18.0ms

(* 3.0 (* v v))

76.0ms

(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series535.0ms

Counts

3 → 9

Calls

3 calls:

307.0ms

(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))

25.0ms

(* 3.0 (* v v))

203.0ms

(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify50.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1166	2733
1	5001	2383

prune363.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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	20	12
1	20	12

end0.0ms

sample769.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
269.0ms	8063×	body	80	nan