Details

sample29.0ms

Algorithm

intervals

Results

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

simplify78.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `add-cbrt-cube`
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`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 125

Calls

3 calls:

66.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
34.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series505.0ms

Counts

3 → 9

Calls

3 calls:

291.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
188.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify94.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	817	1640
1	3774	1536
2	5002	1533

prune339.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

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	(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)

rewrite128.0ms

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×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `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 → 157

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))
17.0ms	(* 3.0 (* v v))
58.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series1.2s

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
242.0ms	(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))
764.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify47.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1222	2347
1	5001	2239

prune550.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
9×	`associate-/l*`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 122

Calls

4 calls:

13.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	185	931
1	426	905
2	1045	893
3	2492	857
4	5001	854

prune386.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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

sample771.0ms

Algorithm

intervals

Results

270.0ms	8063×	body	80	nan
268.0ms	8000×	body	80	valid