Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	257×	body	80	valid
0.0ms	1×	body	640	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	21	2
3	26	2
4	26	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

6.0ms

(* 500.0 (- x y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 500.0 (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	460	88
2	1881	88
3	5001	88

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

7.0ms	(* (sqrt 500.0) (- x y))
10.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (sqrt 500.0) (- x y))
92.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	193	306
1	946	268
2	5002	265

prune86.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y)))
0.4b	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y))))
1.0b	(* (cbrt 500.0) (cbrt 500.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
33×	`add-sqr-sqrt`
27×	`pow1`
25×	`associate-l`
22×	`add-exp-log`
21×	`*-un-lft-identity`
20×	`add-cbrt-cube`
19×	`cbrt-prod` `add-cube-cbrt`
14×	`sub-neg`
13×	`associate-r`
12×	`associate-*r/` `pow-prod-down`
11×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`pow1/3` `swap-sqr` `unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 144

Calls

4 calls:

7.0ms	(* (sqrt 500.0) (- x y))
10.0ms	(* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y)))
17.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y))))
5.0ms	(* (cbrt 500.0) (cbrt 500.0))

series388.0ms

Counts

4 → 10

Calls

4 calls:

60.0ms	(* (sqrt 500.0) (- x y))
155.0ms	(* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y)))
172.0ms	(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (sqrt (cbrt 500.0)) (* (sqrt 500.0) (- x y))))
0.0ms	(* (cbrt 500.0) (cbrt 500.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	398	1202
1	1866	1116
2	5003	1103

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 500.0) (cbrt 500.0))
1.0b	(cbrt (cbrt 500.0))
1.0b	(cbrt (cbrt 500.0))
1.0b	(cbrt (cbrt 500.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

5.0ms	(* (cbrt 500.0) (cbrt 500.0))
2.0ms	(cbrt (cbrt 500.0))
2.0ms	(cbrt (cbrt 500.0))
2.0ms	(cbrt (cbrt 500.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt 500.0) (cbrt 500.0))
0.0ms	(cbrt (cbrt 500.0))
0.0ms	(cbrt (cbrt 500.0))
0.0ms	(cbrt (cbrt 500.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	91	399
1	293	375
2	980	341
3	2143	338
4	5002	329

prune263.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes74.0ms

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

sample248.0ms

Algorithm

intervals

Results

123.0ms	8034×	body	80	valid
1.0ms	17×	body	1280	valid
1.0ms	9×	body	2560	valid
0.0ms	7×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid