Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

259×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

12.0ms

(* 500.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 500.0 (- x y))

simplify99.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (cbrt 500.0) (cbrt 500.0)) (* (cbrt 500.0) (- x y)))
0.2b	(* (cbrt 500.0) (- x y))
1.0b	(* (cbrt 500.0) (cbrt 500.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
52×	`*-un-lft-identity`
50×	`add-cube-cbrt`
24×	`pow1`
20×	`cbrt-prod`
19×	`add-exp-log`
13×	`associate-l`
12×	`associate-r`
11×	`pow-prod-down`
10×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
6×	`sub-neg` `pow1/3` `associate-*r/` `swap-sqr` `unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 162

Calls

3 calls:

29.0ms	(* (* (cbrt 500.0) (cbrt 500.0)) (* (cbrt 500.0) (- x y)))
13.0ms	(* (cbrt 500.0) (- x y))
6.0ms	(* (cbrt 500.0) (cbrt 500.0))

series137.0ms

Counts

3 → 7

Calls

3 calls:

72.0ms	(* (* (cbrt 500.0) (cbrt 500.0)) (* (cbrt 500.0) (- x y)))
65.0ms	(* (cbrt 500.0) (- x y))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	585	1852
1	2365	1096
2	5001	973

prune164.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (sqrt (cbrt 500.0)) (pow (sqrt (cbrt 500.0)) 3)) (* (cbrt 500.0) (- x y)))
0.2b	(* (cbrt 500.0) (- x y))
1.0b	(pow (sqrt (cbrt 500.0)) 3)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
54×	`prod-diff`
51×	`*-un-lft-identity`
49×	`add-cube-cbrt`
30×	`add-exp-log`
19×	`prod-exp`
15×	`add-cbrt-cube`
12×	`pow1` `sqrt-prod`
10×	`cbrt-prod`
9×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-pow` `pow-prod-down`
3×	`expm1-log1p-u` `pow-to-exp` `pow-unpow` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `sqrt-pow1` `*-commutative` `flip--` `unswap-sqr`
1×	`cube-mult` `pow1/2` `pow1/3` `unpow3` `sqrt-pow2` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

3 → 163

Calls

3 calls:

44.0ms	(* (* (sqrt (cbrt 500.0)) (pow (sqrt (cbrt 500.0)) 3)) (* (cbrt 500.0) (- x y)))
13.0ms	(* (cbrt 500.0) (- x y))
3.0ms	(pow (sqrt (cbrt 500.0)) 3)

series135.0ms

Counts

3 → 7

Calls

3 calls:

73.0ms	(* (* (sqrt (cbrt 500.0)) (pow (sqrt (cbrt 500.0)) 3)) (* (cbrt 500.0) (- x y)))
62.0ms	(* (cbrt 500.0) (- x y))
0.0ms	(pow (sqrt (cbrt 500.0)) 3)

simplify140.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	693	2249
1	3671	1304
2	5001	1242

prune201.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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	6	2
1	6	2

end0.0ms

sample246.0ms

Algorithm

intervals

Results

120.0ms	8044×	body	80	valid
1.0ms	12×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	160	valid