Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	191×	body	80	nan

simplify76.0ms

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

localize10.0ms

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

rewrite67.0ms

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:

31.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series612.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
202.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* 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	3991	1686
2	5001	1684

prune403.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

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

rewrite65.0ms

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:

33.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series607.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
199.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify104.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	871	1794
1	3991	1686
2	5001	1684

prune490.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (pow v 2))
0.0b	(* (* 4.0 (pow v 2)) (fma v v 1.0))
0.1b	(* 3.0 (* v v))
0.1b	(pow (* v v) 3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`pow1` `add-cbrt-cube`
17×	`add-sqr-sqrt`
14×	`prod-exp`
12×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`pow-pow`
5×	`unpow-prod-down` `pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `*-commutative` `sqr-pow`
2×	`fma-udef` `unpow2` `rem-cube-cbrt`
1×	`pow2` `distribute-rgt-in` `cube-mult` `distribute-lft-in` `pow-plus` `unpow3` `cube-prod` `pow-sqr` `pow-prod-up`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* 4.0 (pow v 2))
9.0ms	(* (* 4.0 (pow v 2)) (fma v v 1.0))
6.0ms	(* 3.0 (* v v))
3.0ms	(pow (* v v) 3)

series206.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 4.0 (pow v 2))
106.0ms	(* (* 4.0 (pow v 2)) (fma v v 1.0))
24.0ms	(* 3.0 (* v v))
45.0ms	(pow (* v v) 3)

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	350	389
1	1770	326
2	5003	326

prune408.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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	19	12
1	19	12

end0.0ms

sample780.0ms

Algorithm

intervals

Results

303.0ms	8000×	body	80	valid
299.0ms	7999×	body	80	nan